file which includes the original illustrations4 ,see #dbfjb-;h4htm or #dbfjb-;h4zip3 7https3_/_/www4gutenberg4org_/cache_/epu b_/#dbfjb_/pg#dbfjb-;images4html7 or 7https3_/_/www4gutenberg4org_/files_/#db fjb_/dbfjb-;h4zip7 ,some characters might not display in this ,,utf-#h text version or in the html version4 ,if so1 the reader should consult the iso-#hhei-a 7,latin-#a7 text file #dbfjb-h4txt or #dbfjb4zip3 7https3_/_/www4gutenberg4org_/files_/#db fjb_/dbfjb-h4txt7 or 7https3_/_/www4gutenberg4org_/files_/#db fjb_/dbfjb-h4zip7 ,images of the original pages are available through ,internet ,archive4 ,see https3_/_/archive4org_/details_/steameng ineexpla#jjlardrich ,transcriber's note3 ,text enclosed by underscores is in italics 7italics74 ,the notation n means that n is superscript4 ,the notation n means that n is subscript4 ,text that was in small capitals has been converted to all capitals4 ,the original page numbers are embedded in square brackets1 e4g4 ,pg#ace4 ,more detailed notes are provided in the ,transcriber's endnote4 ,illustration3 ,,watt4 ,engraved by ,h4 ,adlard1 from a ,drawing by ,h4 ,corbould1 taken with the permission of ,james ,watt1 ,esq4 ,,from ,,the ,,statue ,,by ,,chantrey4 ,london3 ,taylor ,walton1 ,upper ,gower ,street4 ,,the ,,steam ,,engine ,,explained ,,and ,,illustrated2 ,with an ,account of ,its ,invention and ,progressive ,improvement1 and ,its ,application to ,navigation and ,railways2 ,including also a ,memoir of ,watt4 by ,,dionysius ,,lardner1 ,d4,c4,l4 ,f4,r4,s4 c4 c4 ,,seventh ,,edition1 ,illustrated by ,engravings on ,wood4 ,london3 ,printed for ,taylor and ,walton1 #bh4 ,upper ,gower ,street4 ,,mdcccxl4 ,london3 ,printed by ,a4 ,spottiswoode1 ,new-,street-,square4 ,,to ,,the ,,right ,,honourable ,,henry ,,lord ,,brougham ,,and ,,vaux1 ,,fellow ,,of ,,the ,,royal ,,society1 ,,and ,,member ,,of ,,the ,,national ,,institute ,,of ,,france1 ,,as ,a ,,mark ,,of ,,public ,,respect ,,and ,a ,,testimony ,,of ,,private ,,regard1 ,,this ,,work ,,inscribed1 ,,by ,,his ,,attached ,,friend1 ,,the ,,author4 ,,advertisement4 ,the ,drawings for several of the ,cuts in this ,volume have been taken1 by the permission of ,mr4 ,weale1 from the admirable ,plates annexed to the last edition of ,tredgold on the ,steam ,engine and on ,steam ,navigation4 ,this acknowledgment is especially due for the ,illustrations which abound in this ,volume4 ,london1 ,june1 #ahdj4 ,illustration3 ,,london ,,entrance ,,to ,,the ,,birmingham ,,rail-,,road4 ,,contents4 ,,chapter ,i4 ,,preliminary ,,matter4 ,page ,the ,steam ,engine1 a ,subject of popular ,interest #d ,effects of ,steam #e ,great ,power of ,steam #g ,object of this ,work #i ,disputes respecting the ,invention #aa ,hero of ,alexandria's ,machine #ac ,blasco ,de ,garay's ,proposition to propel ,vessels by a ,machine #af ,solomon ,de ,caus #ag ,giovanni ,branca proposes to work ,mills by ,steam #bb ,marquis of ,worcester #bc ,mechanical ,properties of ,fluids #be ,elastic and ,inelastic ,fluids #be ,elasticity of ,gases #bh ,effects of ,heat #bi ,application of these ,principles to the ,engines of ,hero1 ,de ,caus1 and ,lord ,worcester #cj ,sir ,samuel ,morland #cd ,denis ,papin #cf ,atmospheric ,pressure #ch ,weight of ,air #ci ,pressure of ,air #da ,barometer #da ,elastic ,force of ,air and ,gases #db ,force obtained by a ,vacuum #dc ,common ,pump #dc ,rarefaction by ,heat #dd ,process of filling ,thermometers #dd ,papin's ,method of producing a ,vacuum #dd ,his ,discovery of the ,condensation of ,steam #de ,thomas ,savery #dg ,,chap4 ,,ii4 ,,engines ,,of ,,savery ,,and ,,newcomen4 ,savery's ,engine #di ,boilers and their ,appendages #ej ,working ,apparatus described #ea ,mode of ,operation #eb ,defects of ,savery's ,engine #eh ,newcomen's ,engine described by ,papin #fb ,newcomen and ,cawley obtain a ,patent for ,atmospheric ,engine #fe ,accidental ,discovery of ,condensation by ,injection #fi ,potter's ,discovery of the ,method of working the ,valves #ga ,his ,contrivance improved by the ,substitution of a ,plug ,frame #gb ,advantages of the ,atmospheric ,engine over that of ,savery #gb ,the ,power of ,savery's ,engine restricted #gc ,it contained no new ,principle #gc ,its practical ,superiority #gc ,,chap4 ,,iii4 ,,early ,,career ,,and ,,discoveries ,,of ,,james ,,watt4 ,atmospheric ,engine improved by ,beighton #ge ,smeaton's ,improvements in the ,atmospheric ,engine #gf ,brindley obtains a ,patent for ,improvement in #gf ,invents the ,self-regulating ,feeder #gf ,infancy of ,james ,watt #gg ,his ,descent and ,parentage #gg ,anecdotes of his ,boyhood #gh ,his early ,acquirements #gi ,goes to ,london #hj ,returns to ,glasgow #hj ,appointed ,instrument-maker to the ,university #ha ,opens a ,shop in ,glasgow #ha ,his ,friends and ,patrons #ha ,professor ,robison's ,remarks on ,watt's personal ,character #hb ,his industrious and studious ,habits #hb ,his ,attention first directed to ,steam #hc ,experiments on ,high-pressure ,engine #hc ,repairs an ,atmospheric ,model #hd ,experimental ,inquiry consequent on this #hd ,its ,results #hd ,observes great ,defects in the ,atmospheric ,engine #he ,his first ,attempt to improve it #he ,his early ,experiments on ,steam #hg ,discovery by ,experiment of the ,expansion which ,water undergoes in ,evaporation #ij ,discovers the latent ,heat of ,steam #ia ,informed by ,dr4 ,black of the ,theory of latent ,heat #ic ,his ,improvement not due to ,black #ic ,,chap4 ,,iv4 ,,exposition ,,of ,,physical ,,principles4 ,construction of ,thermometer #ih ,method of graduating it #ii ,freezing and boiling ,points #ii ,latent ,heat of ,water #aja ,quantity of ,heat necessary to convert ,ice into ,water1 first noticed by ,dr4 ,black #aja ,examination of the analogous ,effects produced by the continued ,application of ,heat to ,water in the liquid ,state #ajb ,process of ,boiling #ajd ,reconversion of ,steam into ,water #ajd ,conversion of ,water into ,steam #aje ,latent ,heat of ,steam #ajg ,boiling ,point varies #ajh ,different in different ,places #aji ,inquiry whether a ,diminution of ,pressure will produce a corresponding ,effect on the boiling ,point #aab ,table showing the ,temperature at which ,water will boil under different ,pressures of the ,atmosphere #aac ,mechanical ,force of ,steam #aae ,facts to be observed in #aag ,,chap4 ,v4 ,,further ,,discoveries ,,of ,,watt4 ,watt finds that ,condensation in the ,cylinder is incompatible with a due ,economy of ,fuel #aai ,conceives the ,notion of condensing out of the ,cylinder #abj ,discovers separate ,condensation #aba ,invents the ,air ,pump #abc ,substitutes ,steam ,pressure for ,atmospheric ,pressure #abc ,invents the ,steam ,case1 or ,jacket #abd ,his first ,experiments to realise these ,inventions #abe ,his experimental ,apparatus #abe ,his experimental ,models fitted up at ,delft ,house1 in ,glasgow #abh ,difficulties of bringing the improved ,engines into ,use #abi ,watt first employed by ,roebuck as a ,civil ,engineer #acj ,his ,partnership with ,roebuck #acj ,his first ,patent #acj ,experimental ,engine at ,kinneal #aca ,abstract of the ,act of ,parliament for the ,extension of his ,patent #acb ,description of his single-acting ,steam ,engine #acc ,,chap4 ,,vi4 ,,watt',s ,,engines4 ,correspondence of ,watt with ,smeaton #ade ,failure of ,condensation by ,surface #adf ,improvements in ,construction of ,piston #adg ,method of ,packing #adh ,improvements in boring the ,cylinder #adi ,disadvantages of the new compared with the old ,engines #aej ,greatly increased ,economy of ,fuel #aej ,economy of the ,engine #aea ,expedients to force the new ,engines into ,use #aea ,correspondence of ,boulton #aec ,correspondence with ,smeaton #aee ,efficiency of ,fuel in the new ,engines #aef ,discovery of the expansive ,action of ,steam #aeg ,watt states it in a ,letter to ,dr4 ,small #aeg ,its ,principle explained #aeh ,mechanical ,effects resulting from it #afb ,computed ,effect of cutting off ,steam at different ,portions of the ,stroke #afc ,produces a variable ,power #afc ,expedients for equalising the ,power #afd ,expansive ,principle in ,watt's ,engines limited #afe ,its more extensive ,application in the ,cornish ,engines #afe ,,chap4 ,,vii4 ,,double-,,acting ,,engine4 ,common ,steam #afh ,superheated ,steam #agj ,laws of ,dalton and ,gay ,lussac #aga ,law of ,mariotte #aga ,relation between ,temperature and ,pressure of common ,steam #aga ,effects of the ,expansion of common ,steam #agc ,mechanical ,effects of ,steam #agc ,method of equalising the expansive ,force #agd ,hornblower's ,engine #age ,woolf's ,engine #agf ,watt's ,attempts to extend the ,steam ,engine to ,manufactures #agh ,papin's projected ,applications of the ,steam ,engine #agh ,savery's ,application of the ,engine to move ,machinery #ahj ,jonathan ,hull's ,application to ,water ,wheels #ahj ,champion of ,bristol applies the ,atmospheric ,engine to raise ,water #aha ,stewart's ,application of the ,engine to ,mill-work #ahb ,wasbrough's ,application of the ,fly-wheel and ,crank #ahc ,reasons why ,watt's single-acting ,steam ,engine was not adapted to produce continuous uniform ,motion of ,rotation #ahd ,watt's ,second ,patent #ahf ,sun-and-,planet ,wheels #ahg ,valves of double-acting ,engine #ahi ,,chap4 ,,viii4 ,,double-,,acting ,,engine4 ,methods of connecting the ,piston-rod and ,beam in the double-acting ,engine #aic ,rack and ,sector #aid ,parallel ,motion #aie ,connection of ,piston-rod and ,beam #aie ,connecting ,rod and ,crank #bjc ,fly-wheel #bje ,throttle-valve #bjg ,governor #bji ,construction and ,operation of the double-acting ,engine #baf ,eccentric #bbe ,cocks and ,valves #bbg ,single-clack ,valves #bbg ,double-clack ,valves #bbh ,conical ,valves #bbh ,slide ,valves #bbi ,murray's ,slides #bbi ,d ,valves #bcj ,seaward's ,slides #bce ,single ,cock #bch ,two-way ,cock #bci ,four-way ,cock #bci ,pistons #bdb ,common hemp-packed ,piston #bdb ,woolf's ,piston #bdc ,metallic ,pistons #bdd ,cartwright's ,engine #bde ,cartwright's ,piston #bdg ,barton's ,piston #bdh ,,chap4 ,,ix4 ,,boilers ,,and ,,furnaces4 ,analysis of ,coal #beb ,process of ,combustion #bec ,heat evolved in it #bed ,form and ,structure of ,boiler #bee ,waggon ,boiler #bee ,furnace #bef ,method of feeding it #beg ,combustion of ,gas in ,flues #bfj ,williams's ,patent for ,method of consuming unburned ,gases #bfj ,construction of ,grate and ,ash-pit #bfa ,magnitude of heating ,surface of ,boiler #bfb ,steam-space and ,water-space in ,boiler #bfc ,position of ,flues #bfd ,method of feeding ,boiler #bfe ,method of indicating the ,level of ,water in ,boiler #bff ,level ,gauges #bff ,self-regulating ,feeders #bfg ,steam ,gauge #bgj ,barometer ,gauge #bgb ,watt's ,invention of the ,indicator #bgd ,counter #bgh ,safety-valve #bgi ,fusible ,plugs #bhj ,self-regulating ,damper #bha ,brunton's ,self-regulating ,furnace #bhc ,gross and useful ,effect of an ,engine #bhe ,power and ,duty of ,engines #bhg ,horse-power of ,steam ,engines #bhi ,evaporation proportional to ,horse-power #bij ,sources of ,loss of ,power #bib ,absence of good practical ,rules for ,power #bib ,common ,rules followed by ,engine-makers #bib ,duty distinguished from ,power #bid ,duty of ,boilers #bid ,proportion of ,stroke to ,diameter of ,cylinder #bie ,duty of ,engines #bif ,cornish ,system of ,inspection #big ,table showing the ,improvement of ,cornish ,engines #bih ,beneficial ,effects of ,cornish ,inspection #bii ,successive ,improvements on which the increased ,duty of ,engines depends1 traced by ,john ,taylor in his ,records of ,mining #bii ,,chap4 ,x4 ,,life ,,of ,,watt4 ,watt's ,friends and ,associates at ,birmingham #cjb ,his ,invention of the ,copying ,press #cjb ,heating ,apartments and ,buildings by ,steam #cjc ,watt's ,machine for drying ,linen #cjc ,his ,share in the ,discovery of the ,composition of ,water #cjc ,the ,merit of this ,discovery shared between ,cavendish1 ,lavoisier1 and ,watt #cje ,anecdote of ,watt's ,activity of ,mind #cji ,his ,introduction of the ,use of ,chlorine in ,bleaching #caj ,one of the ,founders of the ,pneumatic ,institution at ,clifton #caj ,his first ,marriage #caa ,death of his first ,wife #caa ,his second ,marriage #caa ,death of his younger ,son #caa ,extracts from his ,letters #cab ,character of ,watt by ,lord ,brougham #cac ,extract from ,sir ,walter ,scott's ,monastery on the ,character of ,watt #cad ,sketch of the ,life of ,watt from the ,scotsman by ,lord ,jeffrey #cae ,occupation of his old ,age #cah ,his ,invention of ,machine for copying ,sculpture #cah ,his last ,days #cah ,monuments to his ,memory #cai ,inscription by ,lord ,brougham on the ,pedestal of the ,monument in ,westminster ,abbey #cbj ,,chap4 ,,xi4 ,,locomotive ,,engines ,,on ,,railways4 ,page ,high-pressure ,engines #cbb ,one of the earliest ,forms of the ,steam ,engine #cbb ,description of ,leupold's ,engine #cbc ,non-condensing ,engine of ,messrs4 ,trevethick and ,vivian #cbd ,construction of a ,machine for moving ,carriages on ,railroads #cbh ,effects of ,railway ,transport #cbi ,moral and political ,consequences of #ccd ,history of the ,locomotive ,engine #ccg ,construction of ,locomotive ,engine by ,blinkensop #ccg ,messrs4 ,chapman's ,contrivance #ccg ,walking ,engine #ccg ,mr4 ,stephenson's ,engines at ,killingworth #cci ,liverpool and ,manchester ,railway #cdb ,the ,directors offer a ,prize for the best ,locomotive ,engine #cdd ,experimental ,trial #cdd ,the ,rocket1 ,sanspareil1 and ,novelty #cdd ,admirable ,arrangement in the ,rocket #cde ,description of the ,sanspareil #cdg ,description of the ,novelty #cdi ,the ,superiority of the ,rocket #cej ,method of subdividing the ,flue into ,tubes #cec ,progressive ,improvement of ,locomotive ,engines #ced ,dr4 ,lardner's ,experiments in #ahcb #ceg ,adoption of ,brass ,tubes #cfj ,great ,expense of ,locomotive ,power #cfa ,mr4 ,booth's ,report #cfb ,detailed ,description of the most improved ,locomotive ,engines #cfe ,substitution of ,brass for ,copper ,tubes ascribed to ,mr4 ,dixon #cgj ,power of ,locomotive ,engines #cgi ,position of the ,eccentrics #cgi ,pressure of ,steam in the ,boiler #dja ,dr4 ,lardner's ,experiments in #ahch #djf ,resistance to ,railway ,trains #djg ,dr4 ,lardner's ,experiments on the ,great ,western ,railway #djh ,experiments on ,resistance #dji ,restrictions on ,gradients #daj ,compensating ,effect of ,gradients #dab ,experiment with the ,hecla #dab ,disposition of ,gradients should be uniform #dae ,methods of surmounting steep ,inclinations #dae ,,chap4 ,,xii4 ,,locomotive ,,engines ,,on ,,turnpike ,,roads4 ,railways and ,stone ,roads compared #dbj ,gurney's ,steam ,carriage #dbc ,the ,boiler of ,gurney's ,engine #dbc ,his ,method of cleansing ,boilers #dbh ,convenience and ,safety of ,steam ,carriages #dcb ,two ,methods of applying ,locomotive ,engines upon common ,roads #dcd ,horse ,carriages compared with ,steam #dce ,extract from ,mr4 ,farey's ,evidence before the ,house of ,commons #dce ,hancock's ,steam ,carriage #dcf ,how it differs from that of ,mr4 ,gurney #dcg ,ogle's ,locomotive ,carriage #dch ,dr4 ,church's ,steam ,engine #dci ,,chap4 ,,xiii4 ,,steam ,,navigation4 ,form and ,arrangement of ,marine ,engines #dda ,arrangement of the ,engine-room #ddf ,marine ,boilers #ddh ,effects of ,sea ,water in ,boilers #dej ,remedies for them #dea ,blow-off ,cocks #deb ,indicators of ,saltness #dec ,seaward's ,indicator #ded ,his ,method of blowing out #ded ,field's ,brine ,pumps #def ,tubular ,condensers applied by ,mr4 ,watt #deg ,hall's ,condensers #deh ,substitution of ,copper for ,iron ,boilers #dfj ,process of ,stoking #dfb ,watt's ,expedient of attaching ,felt to the ,boiler ,surface #dfc ,means of economising ,fuel #dfc ,number and ,arrangement of ,furnaces and ,flues #dfc ,howard's ,marine ,engine #dfd ,application of the expansive ,principle in ,marine ,engines #dff ,recent ,improvements of ,messrs4 ,maudslay and ,field #dfg ,humphrey's ,marine ,engine #dgj ,common ,paddle-wheel #dgb ,feathering ,paddles #dgd ,galloway's ,patent for a ,paddle-wheel with movable ,paddles #dgf ,split ,paddle #dgh ,proportion of ,power to ,tonnage #dhj ,improved ,efficiency of ,marine ,engines #dhb ,iron ,steam ,vessels #dhc ,steam ,navigation to ,india #dhd ,,chap4 ,,xiv4 ,,american ,,steam ,,navigation4 ,steam ,navigation first established in ,america #dhg ,circumstances which led to it #dhh ,attempts of ,fitch and ,rumsey to apply the single-acting ,engine to the ,propulsion of ,vessels #dhi ,stevens of ,hoboken commences ,experiments in ,steam ,navigation #dhi ,experiments of ,livingstone and ,fulton #dhi ,fulton's first ,boat #dij ,the ,hudson navigated by ,steam #dia ,extension and ,improvement of ,river ,navigation #dib ,american ,steamers #did ,difference between them and ,european ,steamers #did ,steamers on the ,hudson #did ,american ,paddle-wheels #die ,sea-going ,american ,steamers #dif ,speed attained by ,american ,steamers #dig ,lake ,steamers #dii ,the ,mississippi and its ,tributaries #dii ,steam-boats navigating it #ejj ,their ,structure and ,machinery #ejj ,new ,orleans ,harbour #ejc ,steam ,tugs #ejc ,,appendix4 ,on the ,relation between the ,temperature1 ,pressure1 and ,density of ,common ,steam4 ,empirical ,formula of ,biot1 showing the ,relation between the ,pressure and ,temperature #eje ,empirical formula of ,southern #ejf ,tredgold #ejf ,mellet #ejf ,de ,pambour #ejf ,,mm4 ,dulong and ,arago #ejf ,law of the ,expansion of elastic ,fluids1 discovered by ,dalton and ,gay ,lussac #ejf ,formula for the ,relation between the ,volumes and ,temperatures #ejg ,law of ,mariotte #ejg ,table of ,pressures1 ,temperatures1 ,volumes1 and ,mechanical ,effects of ,steam #eji ,empirical ,formul for the ,relation between the ,volume of ,water and that of the ,steam produced by its ,evaporation under given ,pressures #eaa ,formula of ,navier #eaa ,modified by ,de ,pambour #eaa ,on the ,expansive ,action of ,steam4 ,mechanical ,effect produced during a given ,extent of ,expansion #eaa ,mechanical ,effect produced during ,evaporation and subsequent ,expansion #eab ,application to double-acting ,engines #eac ,formula for ,pressure of ,steam in ,cylinders #ead ,formula for total ,mechanical ,effect per ,minute of ,steam when cut off at any proposed ,part of the ,stroke #ead ,formul exhibiting the ,relation between the ,resistance of the ,load1 the ,resistances of the ,engine1 the ,evaporation1 the ,speed of the ,piston1 and the ,magnitude of the ,cylinder #eae ,formul showing the ,relation between the ,power of the ,engine1 the ,evaporation1 and the useful ,load #eaf ,formul for the useful ,effect and the ,duty #eag ,estimates of the several ,sources of ,resistances #eah ,tables to facilitate the ,computation of the ,effects of ,expansive ,engines #eai ,table of the ,areas of ,pistons #ebj ,,examples of the ,application of these ,formul #eba ,,index4 #ebc ,illustration3 ,,viaduct1 ,,near ,,watford1 ,,birmingham ,,rail-,,road4 ,pg#jja ,,the ,,steam ,,engine4 ,pg#jjc ,illustration3 ,,hero ,,of ,,alexandria4 ,,chapter ,i4 ,,the ,,steam ,,engine1 ,a ,,subject ,,of ,,popular ,,interest4 -- ,,the ,,object ,,of ,,this ,,work4 -- ,,disputes ,,respecting ,,the ,,invention4 -- ,,hero4 -- ,,de ,,garay4 -- ,,de ,,caus4 -- ,,branca4 -- ,,marquis ,,of ,,worcester4 -- ,,physical ,,principles4 -- ,,elastic ,,and ,,inelastic ,,fluids4 -- ,,their ,,properties4 -- ,,application ,,of ,,these ,,principles ,,to ,,the ,,engines ,,of ,,hero1 ,,de ,,caus1 ,,and ,,lord ,,worcester4 -- ,,sir ,,samuel ,,morland4 -- ,,papin4 -- ,,atmospheric ,,pressure4 -- ,,the ,,weight ,,of ,,air4 -- ,,less ,,at ,,greater ,,heights4 -- ,,barometer4 -- ,,pressure ,,of ,,air4 -- ,,elastic ,,force ,,of ,,air ,,and ,,gases4 -- ,,force ,,produced ,,by ,a ,,vacuum4 -- ,,common ,,pump4 -- ,,rarefaction ,,by ,,heat4 -- ,,papin',s ,,methods ,,of ,,producing ,a ,,vacuum4 -- ,,his ,,discovery ,,of ,,the ,,condensation ,,of ,,steam4 -- ,,savery4 7#a47 ,that the history of the invention of a piece of mechanism1 and the description of its structure1 operation1 and ,pg#jjd uses1 should be capable of being rendered the subject matter of a volume1 destined not alone for the instruction of engineers or machinists1 but for the information and amusement of the public in general1 is a statement which at no very remote period would have been deemed extravagant and incredible4 ,advanced as we are in the art of rendering knowledge popular1 and cultivated as the public taste is in the appreciation of the expedients by which science ministers to the uses of life1 there is still perhaps but one machine of which such a proposition can be truly predicated3 it is needless to say that that machine is the ,,steam ,,engine4 ,there are many circumstances attending this extraordinary piece of mechanism which impart to it an interest so universally felt4 ,whether we regard the details of its structure and operation1 the physical principles which it calls into play1 and the beautiful contrivances by which these physical principles are rendered available2--or1 passing over these means1 we direct our attention to the ends which they attain1 we are equally filled with astonishment and admiration4 ,the history of the steam engine offers to our notice a series of contrivances which1 for exquisite and refined ingenuity1 stand without any parallel in the annals of mechanical science4 ,these admirable inventions1 unlike other results of scientific inquiry1 have also this peculiarity1 that1 to understand their excellence and to perceive their beauty1 no previous or subsidiary knowledge is necessary1 save what may be imparted with facility and clearness in the progress of the explanation and development of the machine itself4 ,a simple and clear exposition1 divested of needless technicalities and aided by well-selected diagrams1 is all that is necessary to render the construction and operation of the steam engine1 in all its forms1 intelligible to persons of plain understanding and moderate information4 ,but if the contrivances by which this vast power is brought to bear on the arts and manufactures1 be rendered attractive by their great mechanical beauty1 how much more imposing will the subject become when the effects which the steam engine has produced upon the well-being of the human race are considered4 ,it has penetrated the crust of the earth1 and drawn from beneath it boundless treasures ,pg#jje of mineral wealth1 which1 without its aid1 would have been rendered inaccessible2 it has drawn up1 in measureless quantity1 the fuel on which its own life and activity depend2 it has relieved men from their most slavish toils1 and reduced labour in a great degree to light and easy superintendence4 ,to enumerate its present effects1 would be to count almost every comfort and every luxury of life4 ,it has increased the sum of human happiness1 not only by calling new pleasures into existence1 but by so cheapening former enjoyments as to render them attainable by those who before could never have hoped to share them3 the surface of the land1 and the face of the waters1 are traversed with equal facility by its power2 and by thus stimulating and facilitating the intercourse of nation with nation1 and the commerce of people with people1 it has knit together remote countries by bonds of amity not likely to be broken4 ,streams of knowledge and information are kept flowing between distant centres of population1 those more advanced diffusing civilisation and improvement among those that are more backward4 ,the press itself1 to which mankind owes in so large a degree the rapidity of their improvement in modern times1 has had its power and influence increased in a manifold ratio by its union with the steam engine4 ,it is thus that literature is cheapened1 and1 by being cheapened1 diffused2 it is thus that ,reason has taken the place of ,force1 and the pen has superseded the sword2 it is thus that war has almost ceased upon the earth1 and that the differences which inevitably arise between people and people are for the most part adjusted by peaceful negotiation4 ,deep as the interest must be with which the steam engine will be regarded in every civilised country1 it presents peculiar claims upon the attention of the people of ,great ,britain4 ,its invention and progressive improvement are the work of our own time and our own country2 it has been produced and matured almost within the last century1 and is the exclusive offspring of ,british genius1 fostered and sustained by ,british enterprise and ,british capital4 ,the steam engine is a mechanical contrivance1 by which coal1 wood1 or other fuel is rendered capable of executing any ,pg#jjf kind of labour4 ,,coals are by it made to spin1 weave1 dye1 print and dress silks1 cottons1 woollens1 and other cloths2 to make paper1 and print books upon it when made2 to convert corn into flour2 to express oil from the olive1 and wine from the grape2 to draw up metal from the bowels of the earth2 to pound and smelt it1 to melt and mould it2 to forge it2 to roll it1 and to fashion it into every desirable form2 to transport these manifold products of its own labour to the doors of those for whose convenience they are produced2 to carry persons and goods over the waters of rivers1 lakes1 seas1 and oceans1 in opposition alike to the natural difficulties of wind and water2 to carry the wind-bound ship out of port2 to place her on the open deep ready to commence her voyage2 to throw its arms around the ship of war1 and place her side by side with the enemy2 to transport over the surface of the deep persons and information1 from town to town1 and from country to country1 with a speed as much exceeding that of the ordinary wind1 as the ordinary wind exceeds that of a common pedestrian4 ,such are the virtues1 such the powers1 which the steam engine has conferred upon ,,coals4 ,the means of calling these powers into activity are supplied by a substance which nature has happily provided in unbounded quantity in every part of the earth2 and though it has no price1 it has inestimable value3 this substance is ,,water4 ,a pint of water may be evaporated by two ounces of coals4 ,in its evaporation it swells into two hundred and sixteen gallons of steam1 with a mechanical force sufficient to raise a weight of thirty-seven tons a foot high4 ,the steam thus produced has a pressure equal to that of common atmospheric air2 and by allowing it to expand1 by virtue of its elasticity1 a further mechanical force may be obtained1 at least equal in amount to the former4 ,a pint of water1 therefore1 and two ounces of common coal1 are thus rendered capable of doing as much work as is equivalent to seventy-four tons raised a foot high4 ,the circumstances under which the steam engine is worked on a railway are not favourable to the economy of fuel4 ,nevertheless a pound of coke burned in a locomotive engine ,pg#jjg will evaporate about five pints of water4 ,in their evaporation they will exert a mechanical force sufficient to draw two tons weight on the railway a distance of one mile in two minutes4 ,four horses working in a stage-coach on a common road are necessary to draw the same weight the same distance in six minutes4 ,a train of coaches weighing about eighty tons1 and transporting two hundred and forty passengers with their luggage1 has been taken from ,liverpool to ,birmingham1 and back from ,birmingham to ,liverpool1 the trip each way taking about four hours and a quarter1 stoppages included4 ,the distance between these places by the railway is ninety-five miles4 ,this double journey of one hundred and ninety miles is effected by the mechanical force produced in the combustion of four tons of coke1 the value of which is about five pounds4 ,to carry the same number of passengers daily between the same places by stage-coaches on a common road1 would require twenty coaches and an establishment of three thousand eight hundred horses1 with which the journey in each direction would be performed in about twelve hours1 stoppages included4 ,the circumference of the earth measures twenty-five thousand miles2 and if it were begirt with an iron railway1 such a train as above described1 carrying two hundred and forty passengers1 would be drawn round it by the combustion of about thirty tons of coke1 and the circuit would be accomplished in five weeks4 ,in the drainage of the ,cornish mines the economy of fuel is much attended to1 and coals are there made to do more work than elsewhere4 ,a bushel of coals usually raises forty thousand tons of water a foot high2 but it has on some occasions raised sixty thousand tons the same height4 ,let us take its labour at fifty thousand tons raised one foot high4 ,a horse worked in a fast stage-coach pulls against an average resistance of about a quarter of a hundred weight4 ,against this he is able to work at the usual speed through about eight miles daily3 his work is therefore equivalent to one thousand tons raised one foot4 ,a bushel of coals consequently1 as used in ,cornwall1 performs as much labour as a day's work of one hundred such horses4 ,pg#jjh ,the great pyramid of ,egypt stands upon a base measuring seven hundred feet each way1 and is five hundred feet high1 its weight being twelve thousand seven hundred and sixty millions of pounds4 ,herodotus states1 that in constructing it one hundred thousand men were constantly employed for twenty years4 ,the materials of this pyramid would be raised from the ground to their present position by the combustion of about four hundred and eighty tons of coals4 ,the ,menai ,bridge consists of about two thousand tons of iron1 and its height above the level of the water is one hundred and twenty feet4 ,its mass might be lifted from the level of the water to its present position by the combustion of four bushels of coal4 ,the enormous consumption of coals produced by the application of the steam engine in the arts and manufactures1 as well as to railways and navigation1 has of late years excited the fears of many as to the possibility of the exhaustion of our coal-mines4 ,such apprehensions are1 however1 altogether groundless4 ,if the present consumption of coal be estimated at sixteen millions of tons annually1 it is demonstrable that the coal-fields of this country would not be exhausted for many centuries4 ,but in speculations like these1 the probable1 if not certain progress of improvement and discovery ought not be overlooked2 and we may safely pronounce that1 long before such a period of time shall have rolled away1 other and more powerful mechanical agents will supersede the use of coal4 ,philosophy already directs her finger at sources of inexhaustible power in the phenomena of electricity and magnetism4 ,the alternate decomposition and recomposition of water1 by magnetism and electricity1 has too close an analogy to the alternate processes of vaporisation and condensation1 not to occur at once to every mind3 the development of the gases from solid matter by the operation of the chemical affinities1 and their subsequent condensation into the liquid form1 has already been essayed as a source of power4 ,in a word1 the general state of physical science at the present moment1 the vigour1 activity1 and sagacity with which researches in it are prosecuted in every civilised ,pg#jji country1 the increasing consideration in which scientific men are held1 and the personal honours and rewards which begin to be conferred upon them1 all justify the expectation that we are on the eve of mechanical discoveries still greater than any which have yet appeared2 and that the steam engine itself1 with the gigantic powers conferred upon it by the immortal ,watt1 will dwindle into insignificance in comparison with the energies of nature which are still to be revealed2 and that the day will come when that machine1 which is now extending the blessings of civilisation to the most remote skirts of the globe1 will cease to have existence except in the page of history4 7#b47 ,the object of the present volume will be to deliver1 in an easy and familiar style1 an historical view of the invention of the steam engine1 and an exposition of its structure and operation in the various forms in which it is now used1 and of its most important applications in the arts of life1 especially in transport by land and water4 ,it is hoped that the details of these subjects may be rendered easily intelligible to all persons of ordinary information1 whether urged by that natural and laudable spirit of inquiry awakened by contemplating effects on the material and social condition of our species1 so rapid and so memorable as those which have followed the invention of the steam engine1 and by the pleasure which results from the perception of the numerous instances of successful contrivances and beautiful applications of science to art which it unfolds1--or impelled by the exigencies of trade or profession to acquire an acquaintance with a machine on which1 more than any other1 the prosperity of our commercial and manufacturing interests depends4 ,it will be our aim to afford to the former class all the information which they can require2 and1 if this work be not as comprehensive in its scope1 and as minute in its details1 as some of the latter may wish1 it will at least serve as an easy and convenient introduction to other works more voluminous1 costly1 and detailed1 but less elementary in their matter1 and less familiar in their style4 ,in explaining the different forms of steam engine which have been proposed in the course of the progressive improvement ,pg#jaj of that machine from its early rude and imperfect state to its present comparatively perfect form1 it will be necessary to advert to various physical phenomena and mechanical principles1 which1 however obvious to those who are conversant with matters of science1 must necessarily be at least imperfectly known by the great majority of our readers4 ,to refer for information on such topics to other works on ,mechanics and general ,physics1 would be with most readers ineffectual1 and with all unsatisfactory4 ,in former editions of the present work1 we consigned these necessary general principles of physics and mechanics to a preliminary chapter2 but it appears1 on the whole1 more convenient not to remove the exposition of the principle from the place where its application is required4 ,we shall therefore pause as we proceed1 where these difficulties occur1 to give such explanation and illustration as may seem best suited to render them intelligible and interesting to the unscientific reader4 ,the history of the arts and manufactures affords no example of any invention the credit for which has been claimed by so many different nations and individuals as that of the steam engine4 ,the advocates of the competitors for this honour have urged their pretensions1 and pressed their claims1 with a zeal which has occasionally outstripped the bounds of discretion1 and the contest has not unfrequently been tinged with prejudices1 national and personal1 and characterised by a degree of asperity altogether unworthy of so noble a cause1 and beneath the dignity of science4 ,when a question is clearly proposed1 it is already half resolved4 ,let us see whether a careful attention to this maxim will aid us in the investigation of the origin of the steam engine4 ,the source of the power of that machine is found in the following natural phenomena4 ,first4 ,when fire is applied to water1 the liquid swells into vapour1 and in undergoing this change exerts1 as has been already stated1 a considerable amount of mechanical force4 ,this force may1 by proper means1 be rendered applicable to any purpose for which labour or power is needful4 ,second4 ,the vapour so produced is endowed with the property of elasticity1 in virtue of which it is capable of ,pg#jaa swelling or expanding into increased dimensions1 exerting1 as it expands1 a force1 the energy of which is gradually diminished as the dimensions of the vapour are increased4 ,this mechanical force is likewise capable of being applied to any useful purpose for which labour or power is necessary4 ,third4 ,this vapour is capable1 by proper means1 of being reconverted into water2 and when so reconverted1 it shrinks into its original dimensions1 deserting the large space which it occupied as vapour1 and leaving that space a vacuum4 ,it is known in physics1 that when a vacuum is produced1 surrounding bodies have a tendency to rush into it with a definite amount of force4 ,consequently any agent which produces a vacuum1 becomes a source of a considerable amount of mechanical power4 ,by its reconversion into water1 therefore1 steam again becomes a mechanical agent4 ,such are the natural phenomena in which are found the original sources of all steam power4 ,in some forms of steam engine one of these is used1 and in some another1 and in some the application of all of them is combined2 but in no existing form of steam engine whatever is there any other source of mechanical power4 ,neither these nor any other natural forces can be applied immediately to any useful purpose4 ,the interposition of mechanism is indispensable2 on the invention and contrivance of that mechanism depends altogether the useful application of these natural forces4 ,the world owes the steam engine then partly to discovery1 and partly to invention4 ,he that discovered the fact1 that mechanical force was produced in the conversion of water into steam1 must be justly held to be a sharer in the merit of the steam engine1 even though he should never have practically applied his discovery4 ,the like may be said of him who first discovered the source of the mechanical power arising from the expansion of steam4 ,the discoverer of the fact1 that steam being reconverted into water greatly contracted its dimensions1 and thereby produced a vacuum1 is likewise entitled to a share of the credit4 ,pg#jab ,the mechanism by which these natural forces have been rendered so universally available as a moving power1 is very various and complicated1 and cannot be traced to one inventor4 ,if a watchmaker1 says ,m4 ,arago1 well instructed in the history of his art1 were required to give a categorical answer to the question1 ,who has invented watches8 he would remain mute2 but the question would be divested of much of its difficulty if he were required separately to declare who discovered the use of the main spring1 the different forms of escapement1 or the balance wheel4 ,so it is with the steam engine4 ,it is a combination of a great variety of contrivances1 distinct from each other1 which are the production of several inventors4 ,if1 however1 one name more than the rest be entitled to special notice2 if he is entitled to the chief credit of the invention who by the powers of his mechanical genius has imparted to the steam engine that form1 and conferred upon it those qualities1 on which mainly depends its present extensive utility1 and by which it has become an agent of transcendant power1 spreading its beneficial effects throughout every part of the civilised globe1 then the universal voice will1 as it were by acclamation1 award the honour to one individual1 whose pre-eminent genius places him far above all other competitors1 and from the application of whose mental energies to this machine may be dated those grand effects which render it a topic of interest to all for whom the progress of civilisation has any attractions4 ,before the era rendered memorable by the discoveries of ,,james ,,watt1 the steam engine1 which has since become an object of such universal interest1 was a machine of extremely limited power1 inferior in importance and usefulness to most other mechanical agents used as prime movers2 but1 from that epoch1 it is scarcely necessary here to state1 that it became a subject not of ,british interest only1 but one having an important connection with the progress of the human race4 ,,hero ,,of ,,alexandria1 #abj ,b4 ,c4 ,illustration3 ,fig4 #a4 7#c47 ,the discovery of the fact1 that a mechanical force is produced when water is evaporated by the application of heat1 ,pg#jac must be considered as the first capital step in the invention of the steam engine4 ,it is recorded in a work entitled ,spiritalia seu ,pneumatica1 that ,hero of ,alexandria contrived a machine1 #abj years before the ,christian era1 which was moved by the mechanical force of the vapour of water4 ,the principle of this machine admits of easy explanation3 ,when a fluid issues from any vessel in which it is confined1 that vessel suffers a force equal to that with which the fluid escapes from it1 and in the opposite direction4 ,if water issues from an orifice1 a pressure is produced behind the orifice corresponding to the force with which the water escapes4 ,if a man discharge a gun1 the gases produced by the explosion of the powder issue with a certain force from the muzzle1 and his shoulder is driven backwards by the recoil with a corresponding force4 ,if the muzzle1 instead of being presented forwards1 were turned at right angles to the length of the gun1 then1 as the gases of explosion would escape sideways1 the recoil would likewise take place sideways1 and the shooter1 instead of being driven backward1 would be made to spin round as a dancer pirouettes4 ,this was the principle of ,hero's steam engine4 ,a small globe or ball was placed on pivots at ,a and ,b 7fig4 #a471 on which it was capable of revolving3 steam was supplied through one of these pivots from one of the tubes ,d ,c ,e ,f1 which communicated with the boiler4 ,this steam filled the globe ,a ,i ,b ,k1 and also the arms ,i ,h and ,k ,g4 ,a lateral orifice1 represented at ,g1 near the end of these arms1 allowed the steam to escape in a jet1 and the reaction1 producing a recoil1 had a tendency to drive the arm round4 ,a small orifice at ,h1 on the other side of the tube1 produced a like effect4 ,in the same manner1 any convenient number of arms might be provided1 surrounding the globe and communicating with its interior like the spokes of a wheel4 ,thus these arms1 having lateral orifices for the escape of the steam1 all placed so that the recoil may ,pg#jad tend to turn the globe in the same direction1 a rotatory motion might be communicated to any machinery which it was desired to move4 ,after having been allowed to slumber for nearly two thousand years1 this machine has recently been revived1 and engines constructed similar to it are now working in these countries4 ,in the proper place we shall describe ,avery's ,rotatory ,engine1 which it will be seen is1 not only in its principle1 but almost in its details1 the machine of ,,hero ,,of ,,alexandria4 ,although the elastic force of steam was not reduced to numerical measure by the ancients1 nor brought under control1 nor applied to any useful purpose1 yet it appears to have been recognised in vague and general terms4 ,aristotle1 ,seneca1 and other ancient writers1 accounted for earthquakes by the sudden conversion of water into steam within the earth4 ,this change1 according to them1 was effected by subterranean heat4 ,such tremendous effects being ascribed to steam1 it can scarcely be doubted that the ,greeks and ,romans were acquainted with the fact1 that water in passing into vapour exercises considerable mechanical power4 ,they were aware that the earthquakes1 which they ascribed to this cause1 exerted forces sufficiently powerful to extend the natural limits of the ocean2 to overturn from their foundations the most massive monuments of human labour2 to raise islands in the midst of seas2 and to heave up the surface of the land of level continents so as to form lofty mountains4 ,such notions1 however1 resulted not as consequences of any exact or scientific principles1 but from vague analogies derived from effects which could not fail to have been manifested in the arts1 such as those which commonly occurred in the process of casting in metal the splendid statues which adorned the temples1 gardens1 and public places of ,rome and ,athens4 ,the artisan was liable to the same accidents to which modern founders are exposed1 produced by the casual presence of a little water in the mould into which the molten metal is poured4 ,under such circumstances1 the sudden formation of steam of an extreme pressure produces1 as is well known1 explosions attended with destructive effects4 ,the ,grecian ,pg#jae and ,roman artisans were subject to such accidents2 and the philosopher1 generalising such a fact1 would arrive at a solution of the grander class of phenomena of earthquakes and volcanoes4 ,before natural phenomena are rendered subservient to purposes of utility1 they are often made to minister to the objects of superstition4 ,the power of steam is not an exception to this rule4 ,it is recorded in the ,chronicles1 that upon the banks of the ,weser the ancient ,teutonic gods sometimes marked their displeasure by a sort of thunderbolt1 which was immediately succeeded by a cloud that filled the temple4 ,an image of the god ,busterich1 which was found in some excavations1 clearly explains the manner in which this prodigy was accomplished by the priests4 ,the head of the metal god was hollow1 and contained within it a pot of water3 the mouth1 and another hole1 above the forehead1 were stopped by wooden plugs2 a small stove1 adroitly placed in a cavity of the head under the pot1 contained charcoal1 which1 being lighted1 gradually heated the liquid contained in the head4 ,the vapour produced from the water1 having acquired sufficient pressure1 forced out the wooden plugs with a loud report1 and they were immediately followed by two jets of steam1 which formed a dense cloud round the god1 and concealed him from his astonished worshippers4#a ,among other amusing anecdotes showing the knowledge which the ancients had of the mechanical force of steam1 it is related that ,anthemius1 the architect of ,saint ,sophia1 occupied a house next door to that of ,zeno1 between whom and ,anthemius there existed a feud4 ,to annoy his neighbour1 ,anthemius placed on the ground floor of his own house several close digesters1 or boilers1 containing water4 ,a flexible tube proceeded from the top of each of these1 which was conducted through a hole made in the wall between the houses1 and which communicated with the space under the floors of the rooms in the house of ,zeno4 ,when ,anthemius desired to annoy his neighbour1 he lighted fires under his boilers1 and the steam produced by them rushed in such quantity and with ,pg#jaf such force under ,zeno's floors1 that they were made to heave with all the usual symptoms of an earthquake4#b ,,blasco ,,de ,,garay1 ,a4 ,d4 #aedc4 7#d47 ,in the year #ahbf1 ,m4 de ,navarrete published1 in ,zach's ,astronomical ,correspondence1 a communication from ,thomas ,gonzales1 ,director of the royal archives of ,simancas1 giving an account of an experiment reported to have been made in the year #aedc1 in which a vessel was propelled by a machine having the appearance of a steam engine4 ,blasco de ,garay1 a sea captain1 proposed in that year to the ,emperor ,charles ,v4 to propel vessels by a machine which he had invented1 even in time of calm1 without oars or sails4 ,notwithstanding the apparent improbability attending this project1 the ,emperor ordered the experiment to be made in the port of ,barcelona1 and the #agth of ,june1 #aedc1 was the day appointed for its trial4 ,the commissioners appointed by ,charles ,v4 to attend and witness the experiment were ,don ,henry of ,toledo1 ,don ,pedro of ,cardona1 the treasurer ,ravago1 the vice chancellor and intendant of ,catalonia1 and others4 ,the vessel on which the experiment was made was the ,trinity1 #bjj tons burthen1 which had just discharged a cargo of corn at ,barcelona4 ,garay concealed the nature of his machinery1 even from the commissioners4 ,all that could be discovered during the trial was1 that it consisted of a large boiler containing water1 and that wheels were attached to each side of the vessel1 by the revolution of which it was propelled4 ,the commissioners having witnessed the experiment1 made a report to the king1 approving generally of the invention1 particularly on account of the ease and promptitude with which the vessel could be put about by it4 ,the treasurer ,ravago1 who was himself hostile to the project1 reported that the machine was capable of propelling a vessel at the rate of two leagues in three hours2 but the other commissioners stated that it made a league an hour at the least1 and that it put the vessel about as speedily as would be accomplished with a galley worked according to the common ,pg#jag method4 ,ravago reported that the machinery was too complicated and expensive1 and that it was subject to the danger of the boiler bursting4 ,after the experiment was made1 ,garay took away all the machinery1 leaving nothing but the framing of wood in the arsenals of ,barcelona4 ,notwithstanding the opposition of ,ravago1 the invention was approved1 and the inventor was promoted and received a pecuniary reward1 besides having all his expenses paid4 ,from the circumstance of the nature of the machinery having been concealed1 it is impossible to say in what this machine consisted2 but as a boiler was used1 it is probable1 though not certain1 that steam was the agent4 ,there have been various machines proposed1 of which a furnace and boiler form a part1 and in which the agency of steam is not used4 ,the machine of ,amontons furnishes an example of this4 ,it is most probable that the contrivance of ,garay was identical with that of ,hero4 ,the low state of the arts in ,spain in the sixteenth century would be incompatible with the construction of any machine requiring great precision of execution4 ,but the simplicity of ,hero's contrivance would have rendered its construction and operation quite practicable4 ,as to the claims to the invention of the steam engine advanced by the advocates of ,de ,garay1 founded on the above document1 a refutation is supplied by the admission1 that though he was rewarded and promoted by the government of the day1 in consequence of the experiment1 and although the great usefulness of the contrivance in towing ships out of port1 c41 was admitted1 yet it does not appear that a second experiment was ever tried1 much less that the machine was ever brought into practical use4 ,,solomon ,,de ,,caus1 #afae4 7#e47 ,solomon ,de ,caus was engineer and architect to ,louis ,,xiii41 king of ,france1 before the year #afab4 ,in that year he entered the service of the ,elector ,palatine1 who married the daughter of ,king ,james ,i41 with whom he came to ,england4 ,he was there employed by the ,prince of ,wales in ornamenting the gardens of his house at ,richmond4 ,pg#jah ,during his sojourn in ,england he composed and published at ,london1 in the same year1 a ,treatise on ,perspective4 ,this person was the author of a work entitled1 ,les ,raisons des ,forces ,mouvantes1 avec diverses ,machines tant utiles que plaisantes1 which was apparently composed at ,heidelburg1 but published at ,franckfort1 in #afae4 ,the same work was subsequently republished in ,paris in #afbc4 ,the treatise commences with definitions of what were then considered the four elements3 earth1 air1 fire1 and water4 ,air is defined to be a cold1 dry1 and light element1 capable of compression1 by which it may be rendered very violent4 ,he says1 ,the violence will be great when water exhales in air by means of fire1 and that the said air is enclosed3 as1 for example1 take a ball of copper of one or two feet diameter1 and one inch thick1 which being filled with water by a small hole1 which shall be strongly stopped with a peg1 so that neither air nor water can escape1 it is certain that if we put the said ball upon a great fire1 so that it will become very hot1 that it will cause a compression so violent1 that the ball will burst in pieces1 with a noise like a petard4 ,the effect which is here described is due to the combined pressure of the heated air contained in the ball and the high pressure steam raised from the water1 but much more to the latter than to the former4 ,it is evident1 however1 from the language of ,de ,caus1 that he ascribes the force entirely to the air1 and seems to consider that the force of the air proceeded from the water which exhaled in it4 ,the first theorem is1 that the parts of the elements mix together for a time1 and then each returns to its place 7the elements here referred to being apparently air and water74 ,upon this subject the following is an example3 ,take a round vessel of copper1 soldered close on every side1 and with a tube1 whereof one end approaches nearly to the bottom of the vessel1 and the other end1 which projects on the outside of the vessel1 has a stop-cock2 there is also a hole in the top of the vessel1 with a plug to stop it4 ,if this vessel will contain three pots of water1 then pour in one pot of water1 and place the vessel on the fire about three or four minutes1 leaving the hole open2 then take the vessel off the ,pg#jai fire1 and a little after pour out the water at the hole1 and it will be found that a part of the said water has been evaporated by the heat of the fire4 ,then pour in one pot of water as before1 and stop up the hole and the cock1 and put the vessel on the fire for the same time as before2 then take it off1 and let it cool of itself1 without opening the plug1 and after it is quite cold pour out the water1 and it will be found exactly the same quantity as was put in4 ,thus we see that the water which was evaporated 7the first time that the vessel was put on the fire7 is returned into water the second time when that vapour has been shut up in the vessel1 and cooled of itself4 ,in the description of these experiments1 the processes of evaporation and condensation are obscurely indicated2 but there is no intimation that the author possessed any knowledge of the elastic force of steam4 ,his theorem is1 that the parts of the element water mix for a time with the parts of the element air2 that fire causes this mixture1 and that on removing the fire1 and dissipating the heat1 then the parts of the water mixed with air return to their proper place1 forming again part of the water4 ,there is no indication of a change of property of the water in passing into vapour4 ,it is difficult to conceive1 if ,de ,caus had been aware that the vapour of water possessed the same violent force which he distinctly and in terms ascribes to air1 or if he had been aware that in effect the vapour of the water produced by the fire was a fluid1 possessing exactly the same mechanical qualities1 and producing the same mechanical effects as air1 that he would not have expressed himself clearly on the subject4 ,he proceeds to give another demonstration that heat will cause the particles of water to mix with those of air4 ,after having put the measure of water into the vessel1 and shut the vent-hole1 and opened the cock1 put the vessel on the fire1 and put the pot under the cock2 then the water of the vessel1 raising itself by the heat of the fire1 will run out through the cock2 but about one sixth or one eighth part of the water will not run out1 because the violence of the vapour which causes the water to rise proceeds from the ,pg#jbj said water2 which vapour goes out through the cock after the water with great violence4 ,there is also another example in quicksilver1 or mercury1 which is a fluid mineral1 but being heated by fire1 exhales in vapour1 and mixes with the air for a time2 but after the said vapour is cooled1 it returns to its first nature of quicksilver4 ,the vapour of water is much lighter1 and therefore it rises higher1 c4 c4 ,in this second demonstration there appears to be some obscure indication of the force of steam in the words because of the violence of the vapour which causes the water to rise1 c4 ,the fifth theorem is the following3-- ,water will mount by the help of fire higher than its level1 which is explained and proved in the following terms3-- ,illustration3 ,fig4 #b4 ,the third method of raising water is by the aid of fire4 ,on this principle may be constructed various machines3 ,i shall here describe one4 ,let a ball of copper marked ,a2 well soldered in every part1 to which is attached a tube and stop-cock marked ,d1 by which water may be introduced2 and also another tube marked ,b ,c1 which will be soldered into the top of the ball1 and the lower end ,c of which shall descend nearly to the bottom of the ball without touching it4 ,let the said ball be filled with water through the tube ,d1 then shutting the stop-cock ,d1 and opening the stop-cock in the vertical tube ,b ,c1 let the ball be placed upon a fire the heat acting upon the said ball will cause the water to rise in the tube ,b ,c4 ,in the apparatus as here described1 the space enclosed in the boiler above the surface of the water is filled with air4 ,by the action of the fire1 two effects are produced3 first1 the air enclosed above the water1 being heated1 acquires increased elasticity1 and presses with a corresponding force on the surface of the water4 ,by this means a column of water will be driven up the tube ,a ,b at such a height as will balance the elasticity of the heated air confined in the boiler2 but besides ,pg#jba this the water contained in the boiler being heated1 will produce steam1 which being mixed with air contained in the boiler1 will likewise press with its proper elasticity on the surface of the water1 and will combine with the air in raising a column of water in the tube ,a ,b4 ,in the above description of the machine1 the force which raises the water in the tube ,a ,b is ascribed to the fire1 no mention being made of the water1 or of the vapour or steam produced from it having any agency in raising the water in the tube ,a ,b4 ,antecedently to the date of this invention1 the effect of heat in increasing the elastic force of air was known1 and so far as the above description goes1 the whole operation might be ascribed to the air by a person having no knowledge whatever of the elasticity of steam4 ,m4 ,arago1 however1 who1 on the grounds of this passage in the work of ,de ,caus1 claims for him a share of the honour of the invention of the steam engine1 contends that the agency of steam in this apparatus was perfectly known to ,de ,caus1 although no mention is made of steam in the above description1 because in the second demonstration above quoted he uses the words1 the violence of the vapour which causes the water to rise proceeds from the said water2 which vapour goes out from the cock after the water with great violence4 ,by these words ,m4 ,arago considers that ,de ,caus expresses the quality of elasticity proper to the vapour1 and that the context justifies the inference1 that to this elasticity he ascribed the elevation of the water in the tube ,c ,b4 ,there appears to be some uncertainty attending the birthplace of ,de ,caus4 ,in the ,biographie ,universelle he is said to have been born and to have died in ,normandy4 ,m4 ,arago assigns ,dieppe1 or its neighbourhood1 as his birthplace4 ,there was another engineer and architect1 ,isaac ,de ,caus1 a native of ,dieppe1 who published a work in folio1 entitled ,nouvelle ,invention de ,lever l',eau plus haut que sa ,source1 avec quelque ,machines mouvantes1 par le ,moyen de l',eau1 et un ,discours de la ,conduite d',icelle4 ,this volume is without a date1 but from the nature of its contents it would appear to have been published before the work of ,solomon ,de ,caus already cited4 ,the drawings and machines described in both ,pg#jbb are exactly the same2 but the definitions and theorems quoted above on raising water by fire are not given in the work of ,isaac4 ,it seems1 therefore1 that ,solomon ,de ,caus re-published1 with additions1 the work of ,isaac ,de ,caus4 ,from the same birthplace being assigned to both these authors1 as well as from the similarity of their pursuits1 it is likely they were members of the same family1 and from their christian names they were probably ,jews4 ,the work cited above1 was dedicated to ,louis ,,xiii41 and in the dedication ,solomon ,de ,caus calls himself the subject of that monarch2 and in the privilege prefixed to the work he is designated1 ,our well-beloved ,solomon ,de ,caus1 master engineer1 being at present in the service of our dear and well-beloved cousin1 the ,prince ,elector ,palatine1 has made known to us1 c4--we1 desiring to gratify the said ,de ,caus1 he being our subject1 c4 ,it is therefore certain1 whatever may have been the birthplace of ,de ,caus1 that he was at least a subject of ,france4 ,the circumstance of his work being written in ,french1 though published beyond the ,rhine1 is also an argument in favour of his being a native of that country4 ,,giovanni ,,branca1 #afbi4 7#f47 ,giovanni ,branca of ,loretto in ,italy1 an engineer and architect1 proposed to work mills of different kinds by steam issuing from a large olopile1 and blowing against the vanes of a wheel4 ,branca was the author of many ingenious mechanical inventions1 a collection of which he dedicated to ,m4 ,cenci1 the governor of ,loretto4 ,these were published in a work printed at ,rome in #afbi4 ,it is a thin quarto1 entitled ,le ,machine volume nuovo1 et di molto artificio da fare effetti maravigliosi tanto ,spiritali quanto di ,animale ,operatione1 arichito di bellissime figure4 ,del ,sig4 ,giovanni ,branca1 ,cittadino ,romano4 ,in ,roma1 #afbi4 ,the work contains sixty-three engravings1 accompanied by descriptions in ,italian and ,latin4 ,branca's steam engine1 represented in the twenty-fifth plate1 consists of a wheel furnished with flat vanes upon its rim1 like the boards of a paddle wheel4 ,the steam is produced in a close vessel1 and made to issue with violence from the extremity ,pg#jbc of a pipe directed against the vanes1 and causes the wheel to revolve4 ,this motion being imparted by the usual mechanical contrivances1 any machinery may be impelled by it4 ,different useful applications of this power are contained in the work1 viz4 pestles and mortars for pounding materials to make gunpowder1 and rolling stones for grinding the same2 machines for raising water by buckets1 for sawing timbers1 for driving piles1 c4 c4 ,this method of applying the force of steam has no analogy to any application of steam in modern engines4 ,,edward ,,somerset1 ,,marquis ,,of ,,worcester1 #affc4 7#g47 ,of all the names which figure in the early annals of steam1 by far the most remarkable is that of the ,marquis of ,worcester1 who has left a description of a machine in a work1 entitled ,the ,scantling of ,one ,hundred ,inventions1 which has been generally in this country considered as giving him a right to the honour of having been the inventor of the steam engine4 ,lord ,worcester having been engaged on the side of the ,royalists in the civil wars of the revolution1 lost his fortune1 and went to ,ireland1 where he was imprisoned4 ,he escaped from thence1 and reached ,france2 from that country he ventured to ,london1 as a secret agent of ,charles ,,ii41 but was detected1 and imprisoned in the ,tower1 where he remained until the restoration1 when he was set at liberty4 ,tradition has connected the invention of the steam engine with the following anecdote3--,one day1 during his imprisonment1 ,lord ,worcester observed the lid of the pot in which his dinner was being cooked1 suddenly forced upwards by the vapour of the water which was boiling in it4 ,reflecting on this1 it occurred to him that the same force which raised the cover of the pot might be rendered1 when properly applied1 a useful and convenient moving power4 ,after he recovered his liberty1 he accordingly proceeded to carry into effect this conception4 ,the contrivance to which he was ultimately led is described in the following terms in the sixty-eighth invention1 in the work above named3-- ,i have invented an admirable and forcible way to drive ,pg#jbd up water by fire2 not by drawing or sucking it upwards1 for that must be1 as the philosopher terms it1 infra sphrum activitatis1 which is but at such a distance4 ,but this way hath no bounder if the vessels be strong enough4 ,for ,i have taken a piece of whole cannon whereof the end was burst1 and filled it three quarters full of water1 stopping and screwing up the broken end1 as also the touch-hole1 and making a constant fire under it2 within twenty-four hours1 it burst and made a great crack4 ,so that1 having a way to make my vessels so that they are strengthened by the force within them1 and the one to fill after the other1 ,i have seen the water run like a constant fountain stream forty feet high4 ,one vessel of water rarefied by fire driveth up forty of cold water1 and a man that tends the work has but to turn two cocks2 that one vessel of water being consumed1 another begins to force and refill with cold water1 and so successively2 the fire being tended and kept constant1 which the self-same person may likewise abundantly perform in the interim between the necessity of turning the said cocks4 ,since the date of the publication of the ,century of ,inventions was the year #affc1 the experiments here mentioned must have been made before that year4 ,the description of the machine here given1 as well as others in the same work1 was intended by the author1 not to convey a knowledge of the nature of the mechanism which he used1 but only to express the effects produced1 and to indicate the physical principle on which they depended4 ,it should also be observed1 that an air of mystery was thrown by ,worcester over the accounts of all the machines which he described2 and therefore any obscurity in the above description ought not to be regarded as an evidence against his claim to the discovery of the mechanical agency of steam1 so far as that agency is indicated by the effects said by him to be produced4 ,the above account is1 however1 sufficiently distinct and explicit to enable any one possessing a knowledge of the mechanical qualities of steam to perceive the general nature of the machine described4 ,to render this machine1 and that of ,de ,caus1 previously described1 intelligible to those who are not familiar with physical science1 we must here explain some general principles on which their agency depends4 ,pg#jbe 7#h47 ,fluid bodies are of two kinds1 inelastic fluids1 or liquids1 and elastic fluids1 or gases4 ,of the former of these classes1 water is the most familiar example1 and of the latter1 air4 ,these two species of fluids are each distinguished by peculiar mechanical properties4 ,illustration3 ,fig4 #c4 7#i47 ,the constituent particles of a liquid are distinguished from those of solids by having little or no coherence2 so that unless the mass be confined by the sides of the vessel which contains it1 the particles will fall asunder by their gravity4 ,a mass of liquid1 therefore1 unlike a solid1 can never retain any particular form1 but will accommodate itself to the form of the vessel in which it is placed4 ,it will press against the bottom of the vessel which contains it with the whole force of its weight1 and it will press against the sides with a force proportional to the depth of the particles in contact with the sides measured from the surface of the liquid above4 ,this lateral pressure also distinguishes liquids from solids4 ,let us take for illustration the case of a square or a cubical vessel1 ,a ,b ,c ,d1 fig4 #c4 ,if a solid body1 such as a piece of lead1 be cut to the shape of this vessel1 so as to fit in it without pressing with any force against its sides1 the mechanical effect which would be produced by it when placed in the vessel1 would be merely a pressure upon the bottom1 ,b ,c1 the amount of which would be equal to the weight of the metallic mass4 ,no pressure would be exerted against the sides2 for the coherence of the particles of the solid maintaining them in their position1 the removal of the sides would not subject the solid body contained in the vessel to any change4 ,now let us suppose this solid mass of lead to be rendered liquid by being melted4 ,the constituent particles will then be deprived of that cohesion by which they were held together2 they will accordingly have a tendency to separate1 and fall asunder by their gravity1 and will only be prevented from actually doing so by the support afforded to them by the sides1 ,pg#jbf ,a ,b1 ,d ,c1 of the vessel4 ,they will therefore produce a pressure against the sides1 which was not produced by the lead in its solid state4 ,this pressure will vary at different depths3 thus a part of the side of the vessel at ,p will receive a pressure proportional to the depth of the point ,p below the surface of the lead4 ,if1 for example1 we take a square inch of the inner surface of the side of the vessel at ,p1 it will sustain an outward pressure equal to the weight of a column of lead having a square inch for its base1 and a height equal to ,p ,a4 ,and1 in like manner1 every square inch of the sides of the vessel will sustain an outward pressure equal to the weight of a column of lead having a square inch for its base1 and a height equal to the depth of the point below the surface of the lead4 7#aj47 ,we have here proceeded upon the supposition that no force acts on the upper surface ,a ,d of the lead4 ,if any force presses ,a ,d downwards1 that force would be transferred to the bottom by the lead1 and would produce a pressure on the bottom ,b ,c equal to its own amount in addition to the weight of the lead2 and if the lead were solid1 this would be the only additional mechanical effect which such a force acting on the surface ,a ,d of the lead would produce4 ,but if1 on the other hand1 the lead were liquified1 then the force now adverted to1 acting on the surface ,a ,d1 would not only produce a pressure on the bottom ,b ,c1 equal to its own amount in addition to the weight of the lead1 but it would also produce a pressure against every part of the sides of the vessel1 equal to that which it would produce upon an equal magnitude of the surface ,a ,d4 ,thus if we suppose any mechanical cause producing a pressure on the surface ,a ,d amounting to ten pounds on each square inch1 the effect which would be produced1 if the lead were solid1 would be an additional pressure on the base ,b ,c amounting to ten pounds per square inch4 ,but if the lead were liquid1 besides this pressure on each square inch of the base ,b ,c1 there would likewise be a pressure of ten pounds on every square inch of the sides of the vessel4 ,all that has been here stated with respect to a square or a cubical vessel will be equally applicable to a vessel of any other form4 ,pg#jbg 7#aa47 ,the second class of fluids are distinguished from liquids by the particles not merely being destitute of cohesion1 but having a tendency directly the reverse1 to repel each other1 and fly asunder with more or less force4 ,thus if a vessel1 such as that represented in fig4 #c41 were filled with a fluid of this kind1 being open at the top1 and not being restrained by any pressure incumbent upon it1 the particles of the fluid would not rest in the vessel by their gravity1 as those of the liquid would do2 but they would1 by their mutual repulsion1 fly asunder1 and rise out of the vessel1 as smoke is seen to rise from a chimney1 or steam from the spout of a kettle4 ,let us suppose1 then1 that the vessel in which an elastic fluid is contained is closed on every side by solid surfaces4 ,in fact1 let us imagine that the square or cubical vessel represented in fig4 #c4 is closed by a square lid at the top ,a ,d1 having contained in it an elastic fluid1 such as atmospheric air4 ,if such a cover1 or lid1 had been placed upon a liquid1 the cover would sustain no pressure from the fluid1 nor would any mechanical effect be produced1 save those already described in the case of the open vessel2 but when the fluid contained in the vessel is elastic1 as is the case with air1 then the elasticity 7by which name is expressed the tendency of the particles of the fluid to fly asunder7 will produce peculiar mechanical effects1 which have no existence whatever in the case of a liquid4 ,it is true that1 supposing the fluid to be air or any other gas or vapour1 a pressure will be produced upon the bottom ,b ,c of the vessel equivalent to the weight of such fluid1 and lateral pressures will be produced on the different points of the sides by the weight of that part of the fluid which is above these points2 but gases and vapours are bodies of such extreme levity1 that these effects due to their weight are neglected in practice4 ,putting1 then1 the weight of the air contained in the vessel out of the question1 let us consider the effect of its elasticity4 ,if the vessel1 as already described1 be supposed to contain atmospheric air in its ordinary state1 the tendency of the constituent particles to fly asunder will be such as to produce on every square inch of the inner surface of the vessel ,pg#jbh a pressure amounting to fifteen pounds2 this pressure being1 as already stated1 quite independent of the weight of the air4 ,in fact1 this pressure would continue to exist if the air contained in the vessel actually ceased to have weight by being removed from the neighbourhood of the earth1 which is the cause of its gravity4 7#ab47 ,different gases are endowed with different degrees of elasticity1 and the same gas may have its elasticity increased or diminished1 either by varying the space within which it is confined1 or by altering the temperature to which it is exposed4 ,if the space within which an elastic fluid is enclosed be enlarged1 its elasticity is found to diminish in the same proportion4 ,thus if the air contained in the vessel ,a ,b ,c ,d 7fig4 #c47 be allowed to pass into a vessel of twice the magnitude1 the elasticity of the particles will cause them to repel each other1 so that the same quantity of air shall diffuse itself throughout the larger vessel1 assuming double its former bulk4 ,under such circumstances1 the pressure which it would exert upon the sides of the larger vessel would be only half that which it had exerted on the sides of the smaller vessel4 ,if1 on the other hand1 it were forced into a vessel of half the magnitude of ,a ,b ,c ,d1 as it might be1 then its elasticity would be double1 and it would press on the inner surface of that vessel with twice the force with which it pressed on that of the vessel ,a ,b ,c ,d4 ,this power of swelling and contracting its dimensions according to the dimensions of the vessel in which it is confined1 or to the force compressing it1 is a quality which results immediately from elasticity1 and is consequently one which is peculiar to the gases or elastic fluids1 and does not at all appertain to liquids4 ,if the liquid contained in the vessel ,a ,b ,c ,d were transferred to a vessel of twice the magnitude1 it would only occupy half the capacity of that vessel1 and it could not by any means be transferred1 as we have supposed the air or gas to be1 to a vessel of half the dimensions1 since it is inelastic and incompressible4 7#ac47 ,the elasticity of gases is likewise varied by varying the temperature to which they are exposed2 thus1 in general1 ,pg#jbi if air or any other gas be augmented in temperature1 it will likewise be increased in elasticity2 and if1 on the other hand1 it be diminished in temperature1 it will be likewise diminished in its elastic force4 ,the more heated1 therefore1 any air or gas confined in a vessel becomes1 the greater will be the force with which it will press on the inner surface of that vessel1 and tend to burst it4 7#ad47 ,the same body may1 by the agency of heat1 be made to pass successively through the different states of solid1 liquid1 and gas1 or vapour4 ,the most familiar and obvious example of these successive transitions is presented by water4 ,exposed to a certain temperature1 water can only exist as a solid2 as the temperature is increased1 the ice1 or solid water1 is liquefied2 and by the continued application of heat1 this water again undergoes a change1 and assumes the form1 and acquires the mechanical qualities1 of air or gas3 in such a state it is called ,,steam4 ,this is a common property of all liquids4 ,if they be exposed for a sufficient length of time to a sufficient degree of heat1 they will always be converted into elastic fluids4 ,these are usually distinguished from air and other permanent gases1 which never are known to exist in the liquid form1 by the term vapour1 by which1 therefore1 must be understood an elastic fluid which at common temperatures exists in the liquid or solid state2 by steam is expressed the vapour of water2 and by gases1 those elastic fluids which like air are never known--at least1 under ordinary circumstances--to exist in any other but the elastic form4 7#ae47 ,when a liquid is caused1 by the application of heat1 to take the form of an elastic fluid1 or is evaporated1 besides acquiring the property of elasticity1 it always undergoes a considerable change of bulk4 ,the amount of this change is different with different liquids1 and even with the same liquid it varies with the circumstances under which the change is produced4 7#af47 ,when water is evaporated under ordinary circumstances1--that is1 when exposed to no other external pressure than that of the atmosphere1--it increases its volume about seventeen-hundred-fold4 ,thus a cubic inch of liquid ,pg#jcj water would form about seventeen hundred cubic inches of common steam4 ,if1 however1 the water be confined by a greater pressure than that produced by the common atmosphere1 then the increase of volume which takes place in its evaporation would be less in proportion4 ,these important physical circumstances are now only indicated in a general way4 ,as we proceed with our account of the invention and improvement of the steam engine1 they will be developed more fully and accurately4 7#ag47 ,after duly considering what has been just explained1 no difficulty will be found in comprehending the principles on which the first rude attempts at the mechanical application of steam already stated depend4 ,in the apparatus ascribed to ,hero of ,alexandria1 the elasticity of the vapour contained in the arms of the revolving ball causes that vapour to issue from the lateral orifices in the arms1 such as that of ,g1 fig4 #a4 ,as these orifices1 however1 are exposed to the common atmosphere pressing inwards with a force1 the mean amount of which has been stated to be about fifteen pounds per square inch1 it follows that the steam cannot escape from these orifices until its pressure or elasticity exceeds this amount1 and that when it does1 the force with which it will so escape will be the excess of its elasticity above that of the atmosphere2 and it is the reaction produced by this difference of pressure1 causing the arms to recoil1 which will give motion to the machine4 ,in the case of the apparatus of ,de ,caus 7#e471 the heat of the fire acting on the vessel ,d ,c 7fig4 #b47 will raise the temperature of the water contained in it1 and also of the air confined within it above the surface of that water4 ,this air1 as it is increased in temperature1 will also increase in elasticity2 it will therefore press on the surface of the water with increased force1 and will gradually force the water upwards in the tube2 and this effect would continue until all the water in the vessel would be forced up the tube4 ,but at the same time that the heat acting on the vessel increases the temperature of the air above the water1 it also produces a partial evaporation of the water1 so that more or less steam is mixed with the air in the vessel above the surface ,pg#jca of the water2 and this steam possessing elasticity1 unites with the air in pressing on the surface of the water1 and in raising it in the tube4 ,illustration3 ,figs4 #d1 #e1 and #f4 ,let us now revert to the brief account of the engine of the ,marquis of ,worcester1 described in ,the ,century of ,inventions4 ,we collect from that description that the vessel in which the water was evaporated was separate from those which contained the water to be elevated2 also that there were two vessels of the like description1 the contents of which were alternately elevated by the pressure of the water rarefied by the fire2 in other words by steam2 and that the water was raised in an uninterrupted stream1 by the management of two cocks communicating with these vessels and with the boiler4 ,the following is such an apparatus as would answer this description4 ,let ,e 7fig4 #d47 be the vessel containing the water to be evaporated1 placed over a proper furnace ,a2 let ,s be a pipe to allow the steam produced from the boiling water in ,e to pass into the vessels where its mechanical action is required4 ,let ,r represent a cock or regulator1 having in it a curved passage1 leading from ,s to the tube ,t1 when the lever or handle ,l is in the position represented by the cut2 but leading to the tube ,t1 when the lever ,l is turned one quarter of a revolution to the right1 as represented in fig4 #e4 ,by the shifting of this lever1 therefore1 the steam pipe ,s may be made to communicate alternately with the tubes ,t and ,t4 ,the tubes ,t and ,t are carried respectively to two vessels ,v and ,v1 which are filled with the water required to be raised4 ,in these ,pg#jcb vessels tubes enter at ,c and ,c1 descending nearly to the bottom3 these tubes have valves at ,b and ,b1 opening upwards1 by which water will be allowed to pass into the vertical tube ,f1 but which will not allow it to return downwards1 the valves ,b and ,b being then closed by the weight of the water above them4 ,let ,g ,g be a pipe entering the sides of the vessels ,v and ,v1 for the purpose of filling them with the water to be raised3 let ,k be a cock having a curved passage similar to the cock ,r1 and leading to a tube by which water is supplied from the reservoir or other source from which the water to be raised is drawn4 ,when the cock ,k is placed as represented in fig4 #d41 the water from the reservoir will flow through the curved passage in the cock ,k into the tube ,g1 and thence into the vessel ,v2 but when this cock is turned one quarter round1 by shifting the lever to the left1 it will take the position represented in fig4 #f41 and the water will flow through the curved passage into the tube ,g1 and thence into the vessel ,v4 ,let us now suppose the vessel ,v already filled with water to be elevated1 and the vessel ,v to have discharged its contents4 ,the cock ,r is turned1 so as to allow the steam generated in the boiler ,e to pass into the tube ,t1 and thence into the upper part of the vessel ,v1 while the cock ,k is turned so as to allow the water from the reservoir to pass into the tube ,g1 and thence into the vessel ,v4 ,the steam collecting in the upper part of the vessel ,v presses with its elastic force on the surface of the water therein1 and forces the water upwards in the tube ,c2 it passes through the valve ,b1 which it opens by the upward pressure received from the action of the steam1 and thence into the tube ,f1 its descent into the tube ,c being prevented by the valve ,v1 which can only be opened upwards4 ,as the steam is gradually supplied from the boiler ,e1 the water in the vessel ,v is forced up the tube ,c1 through the valve ,b1 and into the tube ,f1 until all the contents of the vessel ,v above the lower end of the tube ,c have been raised4 ,in the meanwhile1 the vessel ,v has been filled with water1 through the cock ,k3 when this has been accomplished1 the man who attends the machine shifts the cocks ,r and ,k1 so as to give them the position represented in fig4 #e4 and fig4 #f4 ,pg#jcc ,in this position1 the steam from the boiler1 being excluded from the tube ,t1 will be conducted to the tube ,t1 and thence to the vessel ,v1 while the water from the reservoir will be excluded from the tube ,g1 and conducted through the tube ,g to the vessel ,v4 ,the vessel ,v will thus be replenished and1 by a process similar to that already described1 the contents of the vessel ,v will be forced up the tube ,c1 through the valve ,b1 and into the tube ,f2 its descent into the tube ,c being prevented by the valve ,b1 which will then be closed4 ,after the contents of the vessel ,v have thus been raised1 and the vessel ,v replenished1 the two cocks ,r and ,k are once more shifted1 and the contents of ,v raised while ,v is replenished1 and so on4 ,illustration3 ,fig4 #d1 #e1 and #f4 ,if1 having comprehended the apparatus here described1 the reader refers to the description of the ,marquis of ,worcester's machine1 he will find that all the conditions therein laid down are fulfilled by it4 ,one vessel 7,e7 of water rarefied by fire may by such means drive up forty 7or more7 of cold water2 and the man that tends the work has but to turn two cocks1 that one vessel 7,v7 of water being consumed1 another 7,v7 begins to force and refill with cold water1 and so on successively1 the fire being tended and kept constant2 which the self-same person may likewise abundantly perform1 in the interim between the necessity of turning the said cocks4 ,on comparing this with the contrivance previously suggested by ,de ,caus1 it will be observed1 that even if ,de ,caus ,pg#jcd knew the physical agent by which the water was driven upwards in the apparatus described by him1 still it was only a method of causing a vessel of boiling water to empty itself2 and before a repetition of the process could be made1 the vessel should be refilled1 and again boiled4 ,in the contrivance of ,lord ,worcester1 on the other hand1 the agency of the steam was employed in the same manner as it is in the steam engines of the present day1 being generated in one vessel1 and used for mechanical purposes in another4 ,nor must this distinction be regarded as trifling or insignificant1 because on it depends the whole practicability of using steam as a mechanical agent4 ,had its action been confined to the vessel in which it was produced1 it never could have been employed for any useful purpose4 ,although many of the projects contained in ,lord ,worcester's work were in the highest degree extravagant and absurd1 yet the engine above described is far from being the only practicable and useful invention proposed in it4 ,on the contrary1 many of his inventions have been reproduced1 and some brought into general use since his time4 ,among these may be mentioned1 stenography1 telegraphs1 floating baths1 speaking statues1 carriages from which horses can be disengaged if unruly1 combination locks1 secret escutcheons for locks1 candle moulds1 the rasping mill1 the gravel engine1 c4 ,,sir ,,samuel ,,morland1 #afhc4 7#ah47 ,sir ,samuel ,morland was the son of a baronet of the same name1 who had received his title at the restoration for some services to the royalist party1 performed by him during the wars of the ,commonwealth4 ,he appears to have devoted much attention to mechanics1 in which he attained some celebrity4 ,he was the reputed inventor of several ingenious contrivances1 such as the drum capstan for ships1 the plunger pump1 c4 ,he also investigated various questions in acoustics1 and among others1 the determination of the best form for the speaking-trumpet4 ,in #afhj1 ,sir ,samuel ,morland was appointed ,master ,pg#jce of the ,works to ,charles ,,ii41 and in the following year was sent to ,france1 to execute some waterworks for ,louis ,,xiv4 ,in #afhc1 while in ,france1 he wrote in the ,french language1 a work entitled ,elevation des ,eaux par toute sorte de ,machines1 reduite la ,mesure1 au ,poids et la ,balance4 ,presente sa ,majest trs ,chrestienne1 par le ,chevalier ,morland1 ,gentilhomme ,ordinaire de la ,chambre ,prive1 et ,maistre des ,mchaniques du ,roi de la ,grande ,brtagne1 #afhc4 ,this book is preserved in manuscript in the ,harleian ,collection in the ,british ,museum4 ,it is written on vellum1 and consists of only thirty-eight pages4 ,it contains tables of measures and weights1 theorems for the calculation of the volumes of cylinders1 the weights of columns of water1 the thickness of lead for pipes1 and is concluded by a chapter on steam1 consisting of four pages1 of which the following is a translation3-- ,the principles of the new force of fire invented by ,chevalier ,morland in #afhb1 and presented to ,his ,most ,christian ,majesty in #afhc3-- ',water being converted into vapour by the force of fire1 these vapours shortly require a greater space 7about #bjjj times7 than the water before occupied1 and sooner than be constantly confined would split a piece of cannon4 ,but being duly regulated according to the rules of statics1 and by science reduced to measure1 weight1 and balance1 then they bear their load peaceably 7like good horses71 and thus become of great use to mankind1 particularly for raising water1 according to the following table1 which shows the number of pounds that may be raised #ahjj times per hour to a height of six inches by cylinders half filled with water1 as well as the different diameters and depths of the said cylinders4' ,there is nothing in the description here given which can indicate the form of the machine by which ,morland proposed to render the force of steam a useful mover4 ,it is1 however1 remarkable1 that at this early period1 before experiments had been made on the expansion which water undergoes in evaporation1 he should have given so near an approximation to ,pg#jcf the actual amount of that expansion4 ,it is scarcely supposable that such an estimate could be obtained by him otherwise than by experiment4 ,the work containing the above description was not printed2 but a work bearing nearly the same title1 containing1 however1 no mention of the force of steam1 was published by him in ,paris in the year #afhe4 ,in this he describes various experiments made by him at ,st4 ,germains on the weight of the water of the ,seine1 and gives weights of the columns of water1 the contents of cylinders1 c4 ,soon after the publication of this work1 ,morland returned to ,england1 and resided near the court till his death4 ,the celebrated ,john ,evelyn mentioned having paid a visit to him at his house at ,hammersmith1 in #afie1 when he had become aged and blind1 but was still remarkable for his mechanical ingenuity4 ,on the #beth of ,october1 says ,evelyn1 the ,archbishop and myself went to ,hammersmith to visit ,sir ,samuel ,morland1 who was entirely blind2 a very mortifying sight4 ,he showed us his invention of writing 7short-hand71 which was very ingenious2 also his wooden kalendar1 which instructed him all by feeling2 and other pretty and useful inventions of mills1 pumps1 c42 and the pump he had erected1 that serves water to his garden and to passengers1 with an inscription1 and brings from a filthy part of the ,thames near it a most perfect and pure water4#c ,he died at ,hammersmith1 in ,january #afif2 and before his death1 as a penance for his past life1 was guilty of the eccentricity of burying in the ground six feet deep a great collection of music which he possessed4#d ,,denis ,,papin1 #afhh4 7#ai47 ,denis ,papin1 a native of ,blois in ,france1 and professor of mathematics at ,marbourg1 is the name which stands next recorded in the progressive invention of the steam engine4 ,to this philosopher is due the discovery of one of the qualities of steam1 to the proper management of which is owing much of the efficacy of the modern steam engine4 ,pg#jcg ,papin was born at ,blois in ,france4 ,he devoted his youth to the study of medicine1 in which he took a degree at ,paris4 ,the revocation of the ,edict of ,nantes having driven him into exile1 he went to ,england1 where the celebrated ,boyle associated him in several of his experiments with the air-pump1 and caused him to be elected a fellow of the ,royal ,society in #afha4 ,having been invited to ,germany by the ,landgrave of ,hesse1 he discharged during several years the duties of professor of mathematics at the university of ,marbourg1 where he died in #agaj4 ,notwithstanding his discoveries respecting the agency of steam1 he never received any mark of distinction in his own country4 ,the truth is1 the importance and value of these investigations were not apparent until long afterwards4 ,this philosopher conceived the idea of producing a moving power by means of a piston working in a cylinder1 in the manner which we shall now briefly explain4 ,illustration3 ,fig4 #g4 ,let ,a ,b 7fig4 #g47 be a cylinder open at the top1 and let a piston ,p be fitted into it1 so as to move in it air tight4 ,at the bottom of the cylinder suppose an opening provided1 which can be closed at pleasure1 by a stop-cock1 or otherwise1 so that the communication may be opened and closed at will between the interior of the cylinder and the external air4 ,this stop-cock being opened1 let the piston be drawn upwards till it reach the top of the cylinder4 ,let the stop-cock at the bottom be then removed1 and imagine that some means can be supplied by which the air within the cylinder can be suddenly annihilated4 ,the piston1 now at the top1 will have above it the pressure of the atmosphere2 and having no air below1 it will be resisted in its descent by no force save that arising from its friction with the cylinder4 ,if1 then1 the force of the air above the piston be greater than the resistance arising from this friction1 the piston will descend with the excess of this force1 and will continue so to descend until it reach the bottom of the cylinder4 ,having attained that position1 let us ,pg#jch suppose the stop-cock in the bottom opened1 so as to allow the external air to pass freely below the piston4 ,the piston may now be drawn to the top of the cylinder again1 offering no resistance save that of its weight1 and its friction with the cylinder4 ,having reached the top of the cylinder once more1 let the stop-cock be closed1 and the air included within the cylinder once more annihilated4 ,a second descent of the piston will take place1 with the same force as before1 and in like manner the process may be continued indefinitely4 ,now1 if it should appear that means could be provided suddenly and repeatedly to annihilate the air within the cylinder1 and that the pressure of the atmosphere above the piston should exert a force compared with which the weight of the piston and its friction are trifling1 it is evident that a moving power would be obtained which would be capable1 by proper mechanism1 of being applied to any useful purpose1 but which would more especially be applicable to the working of pumps1 the motion of which corresponds with that which has been just ascribed to the piston in the cylinder4 ,such were the first ideas of ,papin4 ,but in order to enable those who are not conversant with physical science fully to appreciate their importance1 it will be necessary here to explain some of the mechanical properties of atmospheric air4 7#bj47 ,the atmosphere is the thin1 transparent1 colourless1 and therefore invisible1 fluid in which we live and move1 which by respiration sustains animal life1 and is otherwise connected with various important functions of organised matter4 ,this fluid is so light and attenuated1 that it might at first be doubted whether it be really a body at all2 and1 indeed1 the name expressing incorporeal beings1 spirit1 is a word in its origin signifying air4#e ,the air1 however1 is light only as compared with other material substances1 which exist in a more condensed state3 it possesses the quality of weight as absolutely as the most solid and massive bodies in nature1 and to render this quality manifest1 it is only necessary to submit a sufficient quantity of air to any of the usual tests of gravitation4 ,pg#jci ,a direct demonstration of this may be given by the following experiment3--,on the mouth of a flask let a stop-cock be fastened so as to be air-tight4 ,the interior of the flask may then be put into free communication with the external air1 or that communication may be cut off at pleasure1 by opening or closing the stop-cock4 ,if a syringe be applied to the mouth of the flask1 the stop-cock being open a part of the air contained in it may be drawn out4 ,after this1 the stop-cock being closed1 and the syringe detached1 let the flask be placed in the dish of a good balance1 and accurately counterpoised by weights in the other dish4 ,this counterpoise will then represent the weight of the flask1 and of the air which has remained in it4 ,if the stop-cock be now opened1 air will immediately rush in1 and replace that which the syringe had withdrawn from the flask2 and immediately the dish of the balance containing the flask will sink by the effect of the weight of the air thus admitted into the flask4 ,if the weight of quantity of air so small as to be capable of being withdrawn by a syringe from an ordinary flask be thus of sensible amount1 it may be easily imagined that the vast mass of atmosphere extending from the surface of the earth upwards1 to a height not ascertained with precision1 but certainly not being less than thirty miles1 must be very considerable4 ,such a force1 pressing as it must constantly do1 upon the surfaces of all bodies1 whether solid or fluid1 and resisting and modifying their movements1 would play an important part in all mechanical phenomena2 and it is1 therefore1 not sufficient merely to have recognised its existence1 but it is most needful to measure its amount with that degree of certainty and precision1 which will enable us to estimate its effects on those phenomena which we shall have to investigate4 7#ba47 ,the amount of the pressure of the atmosphere on each square inch of horizontal surface on which it rests1 is obviously the weight of the column of air extending from that square inch of surface upwards to the top of the atmosphere4 ,this force is measured by the following means3-- ,illustration3 ,fig4 #h4 ,illustration3 ,fig4 #i4 ,take a glass tube1 ,a ,b 7fig4 #h471 above #cb inches long1 open at one end ,a1 and closed at the other end ,b1 and let it ,pg#jdj be filled with mercury 7quicksilver74 ,let a glass vessel or cistern ,c1 containing a quantity of mercury1 be also provided4 ,applying the finger at ,a1 so as to prevent the mercury in the tube from falling out1 let the tube be inverted1 and the end1 stopped by the finger1 plunged into the mercury in ,c4 ,when the end of the tube is below the surface of the mercury in ,c 7fig4 #i471 let the finger be removed4 ,it will be found that the mercury in the tube will not1 as might be expected1 fall to the level of the mercury in the cistern ,c1 which it would do were the end ,b open1 so as to admit the air into the upper part of the tube4 ,on the other hand1 the level ,d of the mercury in the tube will be nearly #cj inches above the level ,c of the mercury in the cistern4 ,the cause of this effect is1 that the weight of the atmosphere rests on the surface ,c of the mercury in the cistern1 and tends thereby to press it up1 or rather to resist its fall in the tube2 and as the fall is not assisted by the weight of the atmosphere on the surface ,d 7since ,b is closed71 it follows1 that as much mercury remains suspended in the tube above the level ,c1 as the weight of the atmosphere is able to support4 ,if the section of the tube were equal to the magnitude of a square inch1 the weight of the column of mercury in the tube above the level ,c would be exactly equal to the weight of the atmosphere on each square inch of the surface ,c4 7#bb47 ,if such an apparatus be observed from time to time1 it will be found that the column of mercury sustained in the tube will be subject to variation between certain limits1 never falling below twenty-eight inches1 and never rising above thirty-one inches4 ,this variation of the mercurial column is produced by a corresponding variation in the weight of the atmosphere4 ,if the apparatus be transported to any height above its ordinary position1 it will have a less quantity of atmosphere above it1 and therefore the surface of the mercury in the cistern will be pressed by a less weight1 and consequently the ,pg#jda column of mercury will fall proportionally4 ,in virtue of this effect1 such an instrument has been rendered a means of measuring heights1 such as the heights of mountains1 the ascents of balloons1 c4 c4 7#bc47 ,if a proper scale be attached to the tube containing the mercurial column1 showing the absolute height of the column sustained at any time1 and indicating its changes of height1 the instrument becomes a ,,barometer4 ,two cubic inches of mercury weigh very nearly one pound avoirdupois4#f ,hence1 when the barometric column measures thirty inches1 the weight of the atmosphere resting on each square inch of surface is about fifteen pounds4 7#bd47 ,it is an established property of fluids1 that they press equally in all directions2 and air1 like every other fluid1 participates in this quality4 ,hence1 it follows1 that when the downward pressure or weight of the atmosphere is fifteen pounds on the square inch1 the lateral1 upward1 and oblique pressures are of the same amount4 ,but1 independently of the general principle1 it may be satisfactory to give experimental proof of this4 ,illustration3 ,fig4 #aj4 ,let four glass tubes1 ,a1 ,b1 ,c1 ,d 7fig4 #aj471 be constructed of sufficient length1 closed at one end1 ,a1 ,b1 ,c1 ,d1 and open at the other4 ,let the open ends of three of them be bent1 as represented in the tubes ,b1 ,c1 ,d4 ,being previously filled with mercury1 let them all be gently inverted1 so as to have their closed ends up1 as here represented4 ,it will be found that the mercury will be sustained in all1 and that the difference of the levels in all will be the same4#g ,thus1 the mercury is sustained in ,a by the upward pressure of the atmosphere2 in ,b1 by its horizontal or lateral pressure2 in ,c1 by its downward pressure2 ,pg#jdb and in ,d1 by its oblique pressure3 and1 as the difference of the levels is the same in all1 these pressures are exactly equal4 7#be47 ,the same arrangement by which the pressure of the atmosphere is measured by a mercurial column of equivalent weight1 also supplies the means of measuring the pressure or elasticity of atmospheric air1 or any other gas or vapour1 whether in a more or less compressed or rarefied state2 and as instruments constructed on this principle are of considerable use in steam engines1 we shall take this occasion to explain their principle and application4 ,in the experiments described in 7#ba71 the space ,d ,b in the top of the barometer-tube1 from which the mercury descended1 is a vacuum4 ,if1 however1 it were occupied by a quantity of air in a rarefied state1 or any other gas or vapour1 such gas or vapour would press on the surface of the mercury at ,d1 with a force determined by its elasticity4 ,in that case1 the atmospheric pressure acting on the surface of the mercury ,c in the cistern1 would be balanced by the combined forces of the weight of the mercurial column sustained in the tube1 and the elasticity of the gas or vapour in the upper part of it4 ,now if we know the actual amount of the atmospheric pressure1--that is to say1 the height of the column of mercury which it would be capable of sustaining1--we should then be able to determine the pressure of the rarefied air in the space ,c ,d4 ,for example1 let us suppose that the barometric column1 when ,b ,d 7fig4 #i47 is a vacuum1 measures thirty inches3 the atmospheric pressure1 therefore1 would be equal to the weight of a column of mercury of that height4 ,let us suppose that the elasticity of the gas or vapour occupying the upper part of the tube ,d ,b causes the column to fall to the height of twenty-six inches3 it is evident1 then1 that the pressure of the air in the top of the tube would be equal to the weight of a column of mercury of four inches4 ,in fine1 to determine the pressure of the rarefied gas or vapour in the top of the tube1 it is only necessary to observe the difference between the height of the column of mercury actually sustained in the tube1 and the column sustained at the same time and ,pg#jdc place in a common barometer3 the difference of the two will be the column of mercury whose weight will represent the pressure of the vapour or gas in the top of the tube4 7#bf47 ,whenever the air contained in any vessel or other enclosed space has by any means had its pressure reduced so as to be rendered less than that of the external air1 the external air will have a tendency to rush into such vessel or enclosed space with a force proportionate to the excess of the pressure of such external air over that of the air within2 and if any communication be opened between the interior of such vessel or enclosed space1 and the external air1 the latter will rush in until an equilibrium be established between the pressures within and without4 ,it is evident that the force thus obtained by diminishing the pressure of air within a vessel may be applied to any mechanical purpose4 ,it is by such means that water is raised in an ordinary pump4 ,a portion of the air contained between the piston of the pump and the surface of the water below1 is withdrawn by the action of the piston1 and the pressure of the air remaining under the piston is thereby diminished4 ,the superior pressure of the atmosphere upon the external surface of the water in the well then forces up a column of water in the pump-barrel1 and this is continued as the air is more and more rarefied by the action of the piston4 ,by whatever means1 therefore1 the air can be wholly or partially withdrawn from any space1 a mechanical power will be thereby developed1 proportional in its amount and efficacy to the quantity of air so withdrawn4 ,if1 however1 such air be withdrawn by any mechanical process1 such as by a syringe1 by a common pump1 or by an air-pump1 the quantity of force expended in withdrawing it is always equivalent to the amount of mechanical power obtained by the vacuum or partial vacuum so produced4 ,indeed the power expended is greater than the power so obtained1 inasmuch as the friction1 leakage1 c4 of the exhausting apparatus must be allowed for4 7#bg47 ,there are1 however1 various other means by which air may be partially expelled from a vessel besides the direct application of mechanical force4 ,thus if heat be applied to ,pg#jdd the vessel1 the air1 as has been already explained1 will acquire increased elasticity1 and will rush from the vessel with a force proportionate to the excess of its elasticity above that of the external air1 and this process may be continued by increasing the heat to which the vessel is exposed1 until a very considerable portion of the air has been expelled4 ,if the orifice by which the air has escaped be then closed1 and the vessel be allowed to cool1 the air within1 by having its temperature reduced to that of the external air1 will lose all the elasticity which it had gained from the heat1 and will be in the same condition as if an equivalent quantity of air had been withdrawn by any mechanical agent4 ,the external air1 therefore1 will have a tendency to rush in with a force corresponding to the difference of pressures4 ,the process of filling thermometers with mercury shows one use of producing a high degree of rarefaction by heat4 ,to construct the instrument it is necessary to fill the bulb and a part of the tube with mercury2 but the bore of the tube is so small that the mercury cannot be introduced by any ordinary means4 ,it is therefore held over flame until heated to a high temperature4 ,the air within it gradually increasing in pressure as its temperature is raised1 is forced through the small bore of the tube1 until the pressure of the air within becomes no more than equal to the pressure of the external atmosphere2 this air being so rarefied that quantity in the bulb bears a very small proportion to its contents at common temperatures4 ,the mouth of the tube is then plunged into mercury1 and as the bulb cools1 the air within it loses its elasticity1 and the superior pressure upon the external surface forces the mercury into the tube4 ,this continues until the air remaining within the bulb has been so contracted1 that its pressure combined with the weight of the mercury1 shall balance the atmospheric pressure4 ,the tube is then reversed1 and the air which remained rises in a bubble to the surface1 and escapes4 7#bh47 ,let us now return to the proceedings of ,papin4 ,how great a power would result from such a machine as he conceived1 will be apparent1 if it be considered that the unresisted atmosphere exercises a pressure of about fifteen pounds on ,pg#jde each square inch of surface exposed to it1 and that if the piston in the cylinder imagined by ,papin1 had a diameter of only one foot1 its superficial magnitude would be about #aad square inches4 ,the pressure of the atmosphere upon it1 therefore1 would be #aad times fifteen pounds1 or #agaj pounds4 ,papin first proposed to produce the vacuum under the piston by means of common air pumps1 worked by a water-wheel2 and by such means he conceived that the power of a river1 stream1 or waterfall might be conveyed by pipes to a distance4 ,while he was in ,england1 in #afhg1 he laid his contrivance before the ,royal ,society of ,london1 but was met by objections and difficulties1 the nature of which he does not explain4 ,it is1 however1 apparent1 from what has been already explained1 that such a method of proceeding would amount to a mere transfer of power1 and would not1 properly speaking1 be itself a moving force3 the moving power would1 in reality1 be the force of the water by which the water-wheel would be driven2 and the air-pumps1 tubes1 together with the piston and cylinder1 would be merely means of conveying the power of the water-wheel to the objects to be moved1 or the machinery to be driven4 ,papin states1 that1 long before this1 he had attempted to expel the air from his cylinder by means of gunpowder2 but1 notwithstanding all the precautions which he could take1 there always remained a considerable quantity2 so much1 indeed1 as to deprive the vacuum of more than half its proper force4 ,at length he adopted an expedient for the production of a vacuum which forms a most important step in the progressive invention of the steam engine1 and which gives to ,papin's name a high place in the history of that machine4 ,this method is explained in the following paragraph of a work published by ,papin in #afie1 at ,cassel1 entitled ,recueil de diverses ,pices touchant quelques nouvelles ,machines1 p4 #ec4 ,i have endeavoured1 says he1 to attain this end 7viz4 the production of a vacuum in the cylinder7 in another way4 ,as water has the property of elasticity1 when converted into steam by heat1 and afterwards of being so completely recondensed by cold1 that there does not remain the least ,pg#jdf appearance of this elasticity1 ,i have thought that it would not be difficult to work machines in which1 by means of a moderate heat and at a small cost1 water might produce that perfect vacuum which has vainly been sought by means of gunpowder4 ,this remarkable passage is given in the work just cited1 as an extract from the ,leipsic ,acts1 of ,august1 #afij4 ,let us pause here to explain more fully this important discovery4 7#bi47 ,we have explained that1 in its conversion into vapour1 by the application of heat1 water1 besides acquiring the property of elasticity1 undergoes a vast enlargement of bulk1 filling1 under ordinary circumstances1 about #agjj times more space than it occupied in the liquid form4 ,this fact was known generally1 though not with numerical accuracy1 by ,papin1 having been the foundation of the machines previously invented and published by ,de ,caus and ,lord ,worcester2 the happy idea of reversing the process occurred to him4 ,if water in its conversion into steam swelled into many hundred times its original bulk1 it would necessarily follow1 that steam1 being reconverted into water1 would shrink into its primitive dimensions4 ,papin therefore saw1 that if he could by any means expel the air from his cylinder under the piston1 and replace it by the pure vapour of water1 he could cause that vapour to be reconverted into a comparatively minute quantity of water by depriving it of the heat which sustained it in the state of steam1 and that by accomplishing this1 the space in the cylinder under the piston would become a vacuum2 that by such means1 the pressure of the atmosphere above the piston would take full effect1 and would urge the piston down2 that by introducing more steam under the piston1 it might be again raised by the elastic force of the steam1 the destruction of which by cold water would again produce the descent of the piston with the same mechanical force2 and that in this way the alternate ascent and descent of the piston might be continued indefinitely4 ,in accordance with these ideas1 ,papin constructed a model consisting of a small cylinder1 in which was placed a solid piston2 ,pg#jdg and in the bottom of the cylinder under the piston was contained in a small quantity of water4 ,the piston being in immediate contact with this water1 so as to exclude the atmospheric air1 on applying fire to the bottom of the cylinder1 steam was produced1 the elastic force of which raised the piston to the top of the cylinder2 the fire being then removed1 and the cylinder being cooled by the surrounding air1 the steam was condensed and reconverted into water1 leaving a vacuum in the cylinder into which the piston was pressed by the force of the atmosphere4 ,the fire being applied and subsequently removed1 another ascent and descent were accomplished2 and in the same manner the alternate motion of the piston might be continued4 ,papin described no other form of machine by which this property could be rendered available in practice2 but he states generally1 that the same end may be attained by various forms of machines easy to be imagined4#h ,,thomas ,,savery1 #afih4 7#cj47 ,the discovery of the method of making a vacuum by the condensation of steam was reproduced1 before #afih1 by ,captain ,thomas ,savery1 to whom a patent was granted in that year for a steam engine to be applied to the raising of water1 c4 ,savery proposed to combine the machine described by the ,marquis of ,worcester with an apparatus for raising water by suction into a vacuum produced by the condensation of steam4 ,savery appears to have been ignorant of the publication of ,papin1 and stated that his discovery of the condensing principle arose from the following circumstance3-- ,having drunk a flask of ,florence at a tavern1 and flung the empty flask on the fire1 he called for a basin of water to wash his hands4 ,a small quantity which remained in the flask began to boil1 and steam issued from its mouth4 ,it occurred to him to try what effect would be produced by inverting the flask and plunging its mouth in the cold water4 ,putting on a thick glove to defend his hand from the heat1 he seized the ,pg#jdh flask1 and the moment he plunged its mouth in the water the liquid immediately rushed up into the flask and filled it4 ,savery stated that this circumstance immediately suggested to him the possibility of giving effect to the atmospheric pressure by creating a vacuum in this manner4 ,he thought that if1 instead of exhausting the barrel of a pump by the usual laborious method of a piston and sucker1 it was exhausted by first filling it with steam1 and then condensing the same steam1 the atmospheric pressure would force the water from the well into the pump-barrel1 and into any vessel connected with it1 provided that vessel were not more than about thirty-four feet above the elevation of the water in the well4 ,he perceived also1 that1 having lifted the water to this height1 he might use the elastic force of steam in the manner described by the ,marquis of ,worcester to raise the same water to a still greater elevation1 and that the same steam which accomplished this mechanical effect would serve1 by its subsequent condensation1 to reproduce the vacuum1 and draw up more water4 ,it was on this principle that ,savery constructed the first engine in which steam was ever brought into practical operation4 ,illustration3 ,,branca',s ,,engine4 ,,footnotes3 #a ,arago1 ,eloge historique de ,james ,watt2 p4 #bb4 #b ,ibid41 p4 #ba4 note4 #c ,farey1 ,treatise on the ,steam ,engine1 p4 #ic4 #d ,arago1 sur les ,machines ,vapeur1 ,annuaire1 #ahbi1 p4 #afe #e ,,spiritus1 breath or air4 #f ,exactly #aefh oz4 #jih lb4 #g ,this experiment with the tube ,a requires to be very carefully executed1 and the tube should be one of small bore4 #h ,recueil de diverses ,pices touchant quelques nouvelles ,machines1 p4 #ch4 ,pg#jdi ,illustration3 ,,savery',s ,,engine4 ,,chap4 ,,ii4 ,,engines ,,of ,,savery ,,and ,,newcomen4 ,,savery',s ,,engine4 -- ,,boilers ,,and ,,their ,,appendages4 -- ,,working ,,apparatus4 -- ,,mode ,,of ,,operation4 -- ,,defects ,,of ,,the ,,engine4 -- ,,newcomen ,,and ,,cawley4 -- ,,atmospheric ,,engine4 -- ,,accidental ,,discovery ,,of ,,condensation ,,by ,,injection4 -- ,,humphrey ,,potter ,,makes ,,the ,,engine ,,work ,,itself4 -- ,,advantages ,,of ,,the ,,atmospheric ,,engine ,,over ,,that ,,of ,,savery4 -- ,,it ,,contained ,,no ,,new ,,principle4 -- ,,its ,,practical ,,superiority4 7#ca47 ,the steam engine contrived by ,savery1 like every other which has since been constructed1 consists of two parts1 essentially distinct4 ,the first is that which is employed to ,pg#jej generate the steam1 which is called the boiler2 and the second1 that in which the steam is applied as a moving power4 ,illustration3 ,fig4 #aa4 ,the former apparatus in ,savery's engine consists of two strong boilers1 sections of which are represented at ,d and ,e in fig4 #aa42 ,d the greater boiler1 and ,e the less4 ,the tubes ,t and ,t communicate with the working apparatus1 which we shall presently describe4 ,a thin plate of metal ,r1 is applied closely to the top of the great boiler ,d1 turning on a centre ,c1 so that by moving a lever applied to the axis ,c on the outside of the top1 the sliding plate ,r can be brought from the mouth of the one tube to the mouth of the other alternately4 ,this sliding valve is called the regulator1 since it is by it that the communications between the boiler and two steam vessels 7hereafter described7 are alternately opened and closed1 the lever which effects this being moved at intervals by the hand of the attendant4 ,two gauge cocks are represented at ,g1 ,g1 the use of which is to determine the depth of water in the boiler4 ,one1 ,g1 has its lower aperture a little above the proper depth2 and the other1 ,g1 a little below it4 ,cocks are attached to the upper ends ,g1 ,g1 which can be opened or closed at pleasure4 ,the steam collected in the top of the boiler pressing on the surface of the water1 forces it up in the tubes ,g1 ,g1 if their lower ends be immersed4 ,upon opening the cocks ,g1 ,g1 if water be forced from both1 there is too much water in the boiler1 since the mouth of ,g is below its level4 ,if steam issue from both1 there is too little water in the boiler1 since the mouth of ,g is above its level4 ,but if steam issue from ,g1 and water from ,g1 the water in the boiler is at its proper level4 ,this ingenious contrivance for determining the level of the water in the boiler is the invention of ,savery1 and is used in many instances at the present day4 ,the mouth of the pipe ,g should be at a level of a little less ,pg#jea than one third of the whole depth1 and the mouth of ,g at a level little lower than one third2 for it is requisite that about two thirds of the boiler should be kept filled with water4 ,the tube ,i forms a communication between the greater boiler ,d and the lesser or feeding boiler ,e1 descending nearly to the bottom of it4 ,this communication can be opened and closed at pleasure by the cock ,k4 ,a gauge pipe is inserted similar to ,g1 ,g1 but extending nearly to the bottom4 ,from this boiler a tube ,f extends1 which is continued to a cistern ,c 7fig4 #ab471 and a cock is placed at ,m1 which1 when opened1 allows the water from the cistern to flow into the feeding boiler ,e1 and which is closed when that boiler is filled4 ,the manner in which this cistern is supplied will be described hereafter4 ,let us now suppose that the principal boiler is filled to the level between the gauge pipes1 and that the subsidiary boiler is nearly full of water1 the cock ,k and the gauge cocks ,g ,g being all closed4 ,the fire being lighted beneath ,d1 and the water boiled1 steam is produced1 and is transmitted through one or other of the tubes ,t1 ,t1 to the working apparatus4 ,when evaporation has reduced the water in ,d below the level of ,g1 it will be necessary to replenish the boiler ,d4 ,this is effected thus3--,a fire being lighted beneath the feeding boiler ,e1 steam is produced in it above the surface of the water1 which1 having no escape1 presses on the surface so as to force it up in the pipe ,i4 ,the cock ,k being then opened1 the boiling water is forced into the principal boiler ,d1 into which it is allowed to flow until water issues from the gauge cock ,g4 ,when this takes place1 the cock ,k is closed1 and the fire removed from ,e until the great boiler again wants replenishing4 ,when the feeding boiler ,e has been exhausted1 it is replenished from the cistern ,c 7fig4 #ab471 through the pipe ,f1 by opening the cock ,m4 7#cb47 ,we shall now describe the working apparatus in which the steam is used as a moving power4 ,let ,v ,v 7fig4 #ab47 be two steam vessels communicating by the tubes ,t ,t 7marked by the same letters in fig4 #aa47 with the greater boiler ,d4 ,illustration3 ,fig4 #ab4 ,let ,s be a pipe1 called the suction pipe1 descending into ,pg#jeb the well or reservoir from which the water is to be raised1 and communicating with each of the steam vessels through tubes ,d ,d1 by valves ,a ,a1 which open upwards4 ,let ,f be a pipe continued from the level of the engine to whatever higher level it is intended to elevate the water4 ,the steam vessels ,v ,v communicate with the force-pipe ,f by valves ,b ,b1 which open upwards1 through the tubes ,e ,e4 ,over the steam vessels and on the force-pipe is placed a small cistern ,c1 already mentioned1 which is kept filled with cold water from the force-pipe1 and from the bottom of which proceeds a pipe terminated with a cock ,g4 ,this is called the condensing pipe1 and can be brought alternately over each steam vessel4 ,from this cistern another pipe communicates with the feeding boiler 7fig4 #aa471 by the cock ,m4#i ,the communication of the pipes ,t ,t with the boiler can be opened and closed alternately1 by the regulator ,r 7fig4 #aa471 already described4 ,now suppose the steam vessels and tubes to be all filled with common atmospheric air1 and that the regulator be placed so that the communication between the tube ,t and the boiler be opened1 the communication between the other tube ,t and the boiler being closed1 steam will flow into ,v through ,t4 ,at first1 while the vessel ,v is cold1 the steam will be condensed1 and will fall in drops of water on the bottom and sides of the vessel4 ,the continued supply of steam from the boiler will at length impart such a degree of heat to the vessel ,v1 that it will cease to condense it4 ,mixed with the heated air ,pg#jec contained in the vessel ,v1 it will have an elastic force greater than the atmospheric pressure1 and will therefore force open the valve ,b1 through which a mixture of air and steam will be driven until all the air in the vessel ,v will have passed out1 and it will contain nothing but the pure vapour of water4 ,when this has taken place1 suppose the regulator be moved so as to close the communication between the tube ,t and the boiler1 and to stop the further supply of steam to the vessel ,v2 and at the same time let the condensing pipe ,g be brought over the vessel ,v1 and the cock opened so as to let a stream of cold water flow upon it4 ,this will cool the vessel ,v1 and the steam with which it is filled will be condensed and fall in a few drops of water1 leaving the interior of the vessel a vacuum4 ,the valve ,b will be kept closed by the atmospheric pressure4 ,but the elastic force of the air between the valve ,a and the surface of the water in the well1 or reservoir1 will open ,a1 so that a part of this air will rush in1 and occupy the vessel ,v4 ,the air in the suction pipe ,s1 being thus allowed an increased space1 will be proportionally diminished in its elastic force1 and its pressure will no longer balance that of the atmosphere acting on the external surface of the water in the reservoir4 ,this pressure will1 therefore1 force water up in the tube ,s until its weight1 together with the elastic force of the air above it1 balances the atmospheric pressure4 ,when this has taken place1 the water will cease to ascend4 ,let us now suppose that1 by shifting the regulator1 the communication is opened between ,t and the boiler1 so that steam flows again into ,v4 ,the condensing cock ,g being removed1 the vessel will be again heated as before1 the air expelled1 and its place filled by the steam4 ,the condensing pipe being again allowed to play upon the vessel ,v1 and the further supply of steam being stopped1 a vacuum will be produced in ,v1 and the atmospheric pressure will force the water through the valve ,a into the vessel ,v1 which it will nearly fill1 a small quantity of air1 however1 remaining above it4 ,thus far the mechanical agency employed in elevating the water is the atmospheric pressure2 and the power of steam is no further employed than in the production of a vacuum4 ,pg#jed ,but1 in order to continue the elevation of the water through the force pipe ,f1 above the level of the steam vessel1 it will be necessary to use the elastic pressure of the steam4 ,the vessel ,v is now nearly filled by the water which has been forced into it by the atmosphere4 ,let us suppose that1 the regulator being shifted again1 the communication between the tube ,t and the boiler is opened1 the condensing cock removed1 and that steam flows into ,v4 ,at first1 coming in contact with the cold surface of the water and that of the vessel1 it is condensed2 but the vessel is soon heated1 and the water formed by the condensed steam collects in a sheet or film upon the surface of the water in ,v1 so as to form a surface as hot as boiling water4#aj ,the steam then being no longer condensed1 presses on the surface of the water with its elastic force2 and when that pressure becomes greater than the atmospheric pressure1 the valve ,b is forced open1 and the water issuing through it1 passes through ,e into the force-pipe ,f2 and this is continued until the steam has forced all the water from ,v1 and occupies its place4 ,the further admission of steam through ,t is once more stopped by moving the regulator2 and the condensing pipe being again allowed to play on ,v1 so as to condense the steam which fills it1 produces a vacuum4 ,into this vacuum1 as before1 the atmospheric pressure will force the water1 and fill the vessel ,v4 ,the condensing pipe being then closed1 and steam admitted through ,t1 the water in ,v will be forced by its pressure through the valve ,b and tube ,e into ,f1 and so the process is continued4 ,we have not yet noticed the other steam vessel ,v1 which1 as far as we have described1 would have remained filled with common atmospheric air1 the pressure of which on the valve ,a would have prevented the water raised in the suction pipe ,s from passing through it4 ,however1 this is not the case2 for1 during the entire process which has been described in ,v1 similar effects have been produced in ,v1 which we have only omitted to notice to avoid the confusion which the two processes might produce4 ,it will be remembered1 that after the steam1 in the first instance1 having flowed from the boiler ,pg#jee through ,t1 has blown the air out of ,v through ,b1 the communication between ,t and the boiler is closed4 ,now the same motion of the regulator which closes this1 opens the communication between ,t and the boiler2 for the sliding plate ,r 7fig4 #aa47 is moved from the one tube to the other1 and at the same time1 as we have already stated1 the condensing pipe is brought to play on ,v4 ,while1 therefore1 a vacuum is being formed in ,v by condensation1 the steam1 flowing through ,t1 blows out the air through ,b1 as already described in the other vessel ,v2 and while the air in ,s is rushing up through ,a into ,v1 followed by the water raised in ,s by the atmospheric pressure1 the vessel ,v is being filled with steam1 and the air is completely expelled from it4 ,the communication between ,t and the boiler is now again opened1 and the communication between ,t and the boiler closed by moving the regulator ,r 7fig4 #aa47 from the tube ,t to ,t2 at the same time the condensing pipe is removed from over ,v1 and brought to play upon ,v4 ,while the steam once more expels the air from ,v through ,b1 a vacuum is formed by condensation in ,v1 into which the water in ,s rushes through the valve ,a4 ,in the mean time ,v is again filled with steam4 ,the communication between ,t and the boiler is now closed1 and that between ,t and the boiler is opened1 and the condensing pipe removed from ,v1 and brought to play on ,v4 ,while the steam from the boiler forces the water in ,v through ,b into the force-pipe ,f1 a vacuum is being produced in ,v1 into which water is raised by the atmospheric pressure4 ,thus each of the vessels ,v ,v is alternately filled from ,s1 and the water thence forced into ,f4 ,the same steam which forces the water from the vessels into ,f1 having done its duty1 is condensed1 and brings up the water from ,s1 by giving effect to the atmospheric pressure4 ,during this process1 two alternate motions or adjustments must be constantly made2 the communication between ,t and the boiler must be opened1 and that between ,t and the boiler closed1 which is done by one motion of the regulator4 ,the condensing pipe at the same time must be brought from ,v to play on ,v1 which is done by the lever placed upon it4 ,again ,pg#jef the communication between ,t and the boiler is to be opened1 and that between ,t and the boiler closed2 this is done by moving back the regulator4 ,the condensing pipe is brought from ,v to ,v by moving back the other lever1 and so on alternately4 ,for the clearness and convenience of description1 some slight and otherwise unimportant changes have been made in the position of the parts4 ,a perspective view of this engine is represented at the head of this chapter4 ,the different parts already described will easily be recognised4 ,the engine of ,savery was very clearly described in a small work published in ,london in #agjb1 entitled1 ,the ,miner's ,friend1 or an ,engine to raise ,water by ,fire described1 and the ,manner of ,fixing it in ,mines2 with an ,account of the several ,uses it is applicable unto1 and an ,answer to the ,objection made against it2 by ,thomas ,savery1 ,gentleman4 ,this volume was dedicated to ,william ,,iii4 7to whom the engine had been exhibited at ,hampton ,court palace71 to the ,royal ,society1 and to the mining adventurers of ,england4 ,the following are the uses to which ,savery proposed the engine should be applied3 ,first1 to raise water for turning all sorts of mills2 second1 supplying palaces and houses with water1 and supplying means of extinguishing fire therein by the water so raised2 third1 the supplying cities and towns with water2 fourth1 draining fens or marshes2 fifth1 for ships2 sixth1 the drainage of mines4 ,dr4 ,harris1 in his ,lexicon ,technicum1 or ,dictionary of ,arts and ,sciences1 mentions a machine of ,savery's for propelling a vessel in a calm1 by paddle-wheels placed at the side2 but it does not appear that ,savery contemplated the application of a steam engine to work these wheels4 ,it is only from scattered passages in publications of the day that it can be ascertained to what extent the engines of ,savery were practically applied4 ,in his address to the ,royal ,society1 he speaks of the difficulties and expense which he encountered in instructing artisans to make engines according to his wish2 but that after much experience the workmen had become such masters of the thing1 that they bound themselves to deliver the engines 'exactly tight and fit for ,pg#jeg service1 and such as he 7,savery7 dare warrant them to every one that has occasion for them4' ,in his address to the miners of ,england he also says1 that the frequent disorders and cumbersomeness of water engines then in use encouraged him to invent engines to work by this new force2 that though they were obliged to encounter the oddest and almost insuperable difficulties1 yet he spared neither time1 pains1 nor money1 till he had conquered them4 ,in ,bradley's ,improvements of ,planting and ,gardening1 #agah1 the author thus speaks of an engine erected by ,savery3-- ,supposing the situation of a house or garden to be a considerable height above any pond1 river1 or spring1 and that it has at present no other conveniency of water than what is brought continually by men or horses to it4 ,in this case1 the wonderful invention of the late ,mr4 ,savery1 ,f4,r4,s41 for raising water by fire1 will not only supply the defect1 by flinging up as much water as may be desired1 but may be maintained with very little trouble and very small expense4 ,it is now about six years since ,mr4 ,savery set up one of them for that curious gentleman ,mr4 ,balle1 at ,cambden ,house1 ,kensington1 near ,london1 which has succeeded so well that there has not been any want of water since it has been built2 and1 with the improvements since made to it1 ,i am apt to believe will be less subject to be out of order than any engine whatever4 ,it is remarkable that1 notwithstanding the high pressure steam necessary for the operation of ,savery's engine1 he does not appear to have adopted the obvious expedient of a safety valve4 ,the safety valve had been previously known1 having been invented about the year #afha1 by ,papin1 for his digester1 which was a close boiler1 contrived by him for stewing meat and digesting bones1 by submitting them to a higher temperature than that of water boiling in an open vessel4 ,the safety valve which has ever since been used for steam boilers of every kind is a valve which opens outwards1 and is fitted to an aperture in the boiler1 so as to be steam tight4 ,it is pressed down by a weight1 the amount of which is regulated by the maximum pressure to which it is intended the steam ,pg#jeh shall be limited4 ,thus1 if the magnitude of the valve be a square inch1 and the pressure of the steam be limited to #aj lbs4 per square inch above the pressure of the atmosphere1 then the valve would be loaded with a weight of #aj lbs42 but as it was found necessary to vary from time to time the limiting pressure of the steam1 or the load of the safety valve1 these valves were usually constructed so as to be held down by the pressure of a lever having a sliding weight upon it4 ,by moving the weight on the arm of the lever1 the pressure on the valve could be increased or diminished at the discretion of the engineer4 ,this contrivance was first applied to ,savery's engines1 by ,desaguliers1 about the year #agag1 before which year ,savery died4 ,it is justly observed by ,mr4 ,farey1 in his treatise on the steam engine1 that1 when a comparison is made between ,captain#aa ,savery's engine and those of his predecessors1 the result will be in every respect favourable to his character as an inventor1 and as a practical engineer2 all the details of his invention are made out in a masterly style1 and accidents and contingencies are provided for1 so as to render it a real working engine2 whereas ,de ,caus1 the ,marquis of ,worcester1 ,sir ,samuel ,morland1 and ,papin1 though ingenious philosophers1 only produced mere outlines1 which required great labour and skill of subsequent inventors to fill up1 and make them sufficiently complete to be put in execution4 ,about the year #agah further improvements were made in the construction of ,savery's engine1 by ,dr4 ,desaguliers2 but it is probable that some of these were suggested by the proceedings of the inventors of the atmospheric engine1 which shall presently describe4 7#cc47 ,in order duly to appreciate the value of improvements1 it is necessary first to perceive the defects which these improvements are designed to remove4 ,savery's steam engine1 considering how little was known of the value and properties of steam1 and how low the general standard of mechanical knowledge was in his day1 is certainly highly ,pg#jei creditable to his genius4 ,nevertheless it had very considerable defects1 and was finally found to be inefficient for the most important purposes to which he proposed applying it4 ,at the time of this invention1 the mines in ,england had greatly increased in depth1 and the process of draining them had become both expensive and difficult2 so much so1 that it was found in many instances that their produce did not cover the cost of working them4 ,the drainage of these mines was the most important purpose to which ,savery proposed to apply his steam engine4 ,it has been already stated that the pressure of the atmosphere amounts to about fifteen pounds on every square inch4 ,now1 a column of water1 whose base is one square inch1 and whose height is thirty-four feet1 weighs about fifteen pounds4 ,if we suppose that a perfect vacuum were produced in the steam vessels ,v ,v 7fig4 #ab47 by condensation1 the atmospheric pressure would fail to force up the water1 if the height of the top of these vessels above the water to be raised exceeded thirty-four feet4 ,it is plain1 therefore1 that the engine cannot be more than thirty-four feet above the water which it is intended to elevate4 ,but in fact it cannot be so much2 for the vacuum produced in the steam vessels ,v ,v is never perfect4 ,water1 when not submitted to the pressure of the atmosphere1 will vaporise at a very low temperature1 as we shall hereafter explain2 and it was found that a vapour possessing a considerable elasticity would1 notwithstanding the condensation1 remain in the vessels ,v ,v and the pipe ,s1 and would oppose the ascent of the water4 ,in consequence of this1 the engine could never be placed with practical advantage at a greater height than twenty-six feet above the level of the water to be raised4 7#cd47 ,when the water is elevated to the engine1 and the steam vessels filled1 if steam be introduced above the water in ,v1 it must first balance the atmospheric pressure1 before it can force the water through the valve ,b4 ,here1 then1 is a mechanical pressure of fifteen pounds per square inch expended1 without any water being raised by it4 ,if steam of twice that elastic force be used1 it will elevate a column in ,f of thirty-four feet in height2 and if steam of triple the force be used1 it will raise a column of sixty-eight feet high1 ,pg#jfj which1 added to twenty-six feet raised by the atmosphere1 gives a total lift of ninety-four feet4 ,in effecting this1 steam of a pressure equal to three times that of the atmosphere acts on the inner surface of the vessels ,v ,v4 ,one third of this bursting pressure is balanced by the pressure of the atmosphere on the external surface of the vessels2 but an effective pressure of thirty pounds per square inch still remains1 tending to burst the vessels4 ,it was found that the apparatus could not be constructed to bear more than this with safety2 and1 therefore1 in practice1 the lift of such an engine was limited to about ninety perpendicular feet4 ,in order to raise the water from the bottom of the mine by these engines1 therefore1 it was necessary to place one at every ninety feet of the depth2 so that the water raised by one through the first ninety feet should be received in a reservoir1 from which it was to be elevated the next ninety feet by another1 and so on4 ,besides this1 it was found that sufficient strength could not be given to those engines1 if constructed upon a large scale4 ,they were1 therefore1 necessarily very limited in their dimensions1 and were incapable of raising the water with sufficient speed4 ,hence arose a necessity for several engines at each level1 which greatly increased the expense4 7#ce47 ,these1 however1 were not the only defects of ,savery's engines4 ,the consumption of fuel was enormous1 the proportion of heat wasted being much more than what was used in either forcing up the water1 or producing a vacuum4 ,this will be very easily understood by attending to the process of working the engine already described4 ,when the steam is first introduced from the boiler into the steam vessels ,v ,v1 preparatory to the formation of a vacuum1 it is necessary that it should heat these vessels up to the temperature of the steam itself2 for until then the steam will be condensed the moment it enters the vessel by the cold surface4 ,all this heat1 therefore1 spent in raising the temperature of the steam vessels is wasted4 ,again1 when the water has ascended and filled the vessels ,v ,v1 and steam is introduced to force this water through ,b ,b into ,f1 it is immediately condensed by the cold surface in ,v ,v1 and does not ,pg#jfa begin to act until a quantity of hot water1 formed by condensed steam1 is collected on the surface of the cold water which fills these vessels4 ,hence another source of the waste of heat arises4 ,when the steam begins to act upon the surface of the water in ,v ,v1 and to force it down1 the cold surface of the vessels is gradually exposed to the steam1 and must be heated while the steam continues its action2 and when the water has been forced out of the vessel1 the vessel itself has been heated to the temperature of the steam which fills it1 all which heat is dissipated by the subsequent process of condensation4 ,it must thus be evident that the steam used in forcing up the the water in ,f1 and in producing a vacuum1 bears a very small proportion indeed to what is consumed in heating the apparatus after condensation4 7#cf47 ,there is also another circumstance which increases the consumption of fuel4 ,the water must be forced through ,b1 not only against the atmospheric pressure1 but also against a column of sixty-eight feet of water4 ,steam is therefore required of a pressure of forty-five pounds on the square inch4 ,consequently the water in the boiler must be boiled under this pressure4 ,that this should take place1 it is necessary that the water should be raised to a temperature considerably above #bab1 even so high as #bge2 and thus an increased heat must be given to the boiler4 ,independently of the other defects1 this intense heat weakened and gradually destroyed the apparatus4 ,savery was the first who suggested the method of expressing the power of an engine with reference to that of horses4 ,in this comparison1 however1 he supposed each horse to work but eight hours a day1 while the engine works for twenty-four hours4 ,this method of expressing the power of steam engines will be explained hereafter4 7#cg47 ,the failure of the engines proposed by ,captain ,savery in the work of drainage1 from the causes which have been just mentioned1 and the increasing necessity for effecting this object1 arising from the large property in mines which became every year unproductive by being flooded1 stimulated the ingenuity ,pg#jfb of mechanics to contrive some means of rendering those powers of steam exhibited in ,savery's engine available4 ,thomas ,newcomen1 the reputed inventor of the atmospheric engine1 was an ironmonger1 or1 according to some1 a blacksmith1 in the town of ,dartmouth in ,devonshire4 ,from his personal acquaintance and intercourse with ,dr4 ,hooke1 the celebrated natural philosopher1 it is probable that he was a person of some education1 and therefore likely to be above the position of a blacksmith4 ,being in the habit of visiting the tin mines in ,cornwall1 ,newcomen became acquainted with the engine invented by ,savery1 and with the causes which led to its inefficiency for the purposes of drainage4 ,it has been stated that ,papin1 about the year #afij1 proposed the construction of an engine working by the atmospheric pressure acting on one side of a piston against a vacuum produced by the condensation of steam on the other side4 ,papin was not conscious of the importance of this principle2 for1 so far from ever having attempted to apply it to practical purposes1 he probably never constructed1 even on a small scale1 any machine illustrating it4 ,on the contrary1 he abandoned the project the moment he was informed of the principle and structure of the steam engine of ,savery2 and he then proposed an engine for raising water1 acting by the expansive force of steam similar to ,savery's1 but abandoning the method of working by a vacuum4 ,this engine is described by ,papin in a work published in #agjg4 ,illustration3 ,fig4 #ac4 ,a 7fig4 #ac47 is an oval boiler1 having a safety-valve ,b1 which limits the pressure of the steam4 ,it is connected with a cylinder ,c1 by a curved pipe having a stop-cock at ,d4 ,a pipe with a stop-cock ,g opens from the top of the cylinder into the atmosphere1 and a safety-valve ,f is placed upon the cylinder4 ,a hollow copper piston ,h moves freely in the cylinder1 and floats upon the water4 ,o is a funnel with a valve ,l in the bottom1 opening downwards1 through which the cylinder ,c may be filled with water to the level of the top of the funnel4 ,a close air-vessel communicates with the cylinder ,c by the curved tube1 and has a valve ,k opening upwards4 ,the force-pipe through which the water is raised communicates ,pg#jfc with the air-vessel ,i4 ,if the cock ,d be shut1 and the cock ,g opened1 water poured into the funnel ,o will rise into the cylinder ,c1 the air which fills the cylinder escaping through the open pipe ,g4 ,when the cylinder is thus filled with water1 let the cock ,g be closed1 and the cock ,d opened4 ,the steam from the boiler1 after heating the metal of the cylinder1 will force the piston downwards1 and drive the water through the curved tube into the vessel ,i1 from which its return is prevented by the valve ,k1 which is closed by its weight4 ,the air which filled the vessel ,i will then be compressed1 and by its elasticity will drive a column of water up the pipe ,n4 ,after the contents of the cylinder have been thus discharged it may be refilled in the same manner1 and the process repeated4 ,it will be perceived that this project is nothing more than a reproduction of the engine of the ,marquis of ,worcester4 ,in the preface to the work containing this description1 ,papin gives an extract from a letter addressed by him to ,leibnitz in #afih1 from which it appears that he had abandoned his idea of working the piston by the atmospheric pressure acting against a vacuum1 considering it to be a contrivance inferior ,pg#jfd to the engine now described4 ,we now raise water1 he says1 by the force of fire1 in a more advantageous manner than that which ,i had published some years before2 for besides the suction1 we now also use the pressure which the water exerts upon other bodies in dilating itself by heat2 instead of which ,i before employed the suction only1 the effects of which are more limited4 ,from documents which have been preserved in the ,royal ,society1 it appears that ,newcomen was acquainted with ,papin's writings1 and therefore probably first derived from them the suggestion which he subsequently realised in the atmospheric engine4 ,among some papers of ,dr4 ,hooke's have been found notes for the use of ,newcomen1 on ,papin's method of transmitting the force of a stream or fall of water to a distance by pipes4 ,hooke dissuaded ,newcomen from attempting any machine on this principle1 which1 as first proposed by ,papin1 was impracticable4 ,he exposed the fallacy of ,papin's first project in several discourses before the ,royal ,society1 and considered his improved edition of it1 though free from fallacy1 as impracticable4 ,papin's project for producing a vacuum under a piston by condensing the steam having been published in the ,act ,eruditorum1 in ,latin1 in #afij1 and in ,french1 at ,cassel1 in #afie1 and subsequently1 in the ,philosophical ,transactions1 in ,england in #afig1 cannot be supposed to be unknown to ,dr4 ,hooke2 and if known to him1 would probably have been communicated to ,newcomen4 ,dr4 ,hooke died in #agjc1 some years before the date of ,newcomen's invention4 ,john ,cawley1 who was the associate of ,newcomen in his experiments and inquiries1 was a plumber and glazier of the same town4 ,newcomen and ,cawley obtained a patent for the atmospheric engine in #agje1 in which ,savery was associated1 he having previously obtained a patent for the method of producing a vacuum by the condensation of steam1 which was essential to ,newcomen's contrivance4 ,it was not1 however1 until about the year #agaa that any engine had been constructed under this patent4 ,in the latter end of that year1 according to ,desaguliers1 the patentees made proposals to drain a colliery at ,griff1 in ,pg#jfe ,warwickshire1 in which work five hundred horses were constantly employed4 ,this proposal not being accepted1 they contracted1 in the following ,march1 to drain water for ,mr4 ,back of ,wolverhampton1 where1 after many laborious attempts1 they succeeded in making their engine work2 but not being either philosophers to understand the reason1 or mathematicians enough to calculate the power and proportions of the parts1 they very luckily1 by accident1 found what they sought for4 ,illustration3 ,fig4 #ad4 ,newcomen resumed the old method of raising the water from the mines by ordinary pumps1 but conceived the idea of working these pumps by some moving power less expensive than that of horses4 ,the means whereby he proposed effecting this1 was by connecting the end of the pump-rod ,d 7fig4 #ad47 by a chain with the arch head ,a of a ,pg#jff working-beam ,a ,b1 playing on an axis ,c4 ,the other arch head ,b of this beam was connected by a chain with the rod ,e of a solid piston ,p1 which moved air-tight in a cylinder ,f4 ,if a vacuum be created beneath the piston ,p1 the atmospheric pressure acting upon it will press it down with a force of fifteen pounds per square inch2 and the end ,a of the beam being thus raised1 the pump-rod ,d will be drawn up4 ,if a pressure equivalent to the atmosphere be then introduced below the piston1 so as to neutralise the downward pressure1 the piston will be in a state of indifference as to the rising or falling2 and if in this case the rod ,d be made heavier than the piston and its rod1 so as to overcome the friction1 it will descend1 and elevate the piston again to the top of the cylinder4 ,the vacuum being again produced1 another descent of the piston1 and consequent elevation of the pump-rod1 will take place2 and so the process may be continued4 ,such was ,newcomen's first conception of the atmospheric engine2 and the contrivance had much1 even at the first view1 to recommend it4 ,the power of such a machine would depend entirely on the magnitude of the piston2 and being independent of highly elastic steam1 would not expose the materials to the destructive heat which was necessary for working ,savery's engine4 ,supposing a perfect vacuum to be produced under the piston in the cylinder1 an effective downward pressure would be obtained1 amounting to fifteen times as many pounds as there are square inches in the section of the piston4#ab ,thus1 if the base of the piston were #ajj square inches1 a pressure equal to #aejj pounds would be obtained4 7#ch47 ,in order to accomplish this1 two things were necessary3 #a4 ,to make a speedy and effectual vacuum below the ,pg#jfg piston in the descent2 and1 #b4 ,to contrive a counterpoise for the atmosphere in the ascent4 ,the condensation of steam immediately presented itself as the most effectual means of accomplishing the former2 and the elastic force of the same steam previous to condensation an obvious method of effecting the latter4 ,nothing now remained to carry the design into execution1 but the contrivance of means for the alternate introduction and condensation of the steam2 and ,newcomen and ,cawley were accordingly granted a patent in #agjg1 in which ,savery was united1 in consequence of the principle of condensation for which he had previously received a patent being necessary to the projected machine4 ,we shall now describe the atmospheric engine1 as first constructed by ,newcomen3-- ,the boiler ,k 7fig4 #ad47 is placed over a furnace ,i1 the flue of which winds round it1 so as to communicate heat to every part of the bottom of it4 ,in the top1 which is hemispherical1 two gauge-cocks ,g ,g are placed1 as in ,savery's engine1 and a puppet valve ,v1 which opens upward1 and is loaded at one pound per square inch2 so that when the steam produced in the boiler exceeds the pressure of the atmosphere by more than one pound on the square inch1 the valve ,v is lifted1 and the steam escapes through it1 and continues to escape until its pressure is sufficiently diminished1 when the valve ,v again falls into its seat4 ,this valve performs the office of the safety-valve in modern engines4 ,the great steam-tube is represented at ,s1 which conducts steam from the boiler to the cylinder2 and a feeding pipe ,t1 furnished with a cock1 which is opened and closed at pleasure1 proceeds from a cistern ,l to the boiler4 ,by this pipe the boiler may be replenished from the cistern1 when the gauge cock ,g indicates that the level has fallen below it4 ,the cistern ,l is supplied with hot water1 by means which we shall presently explain4 7#ci47 ,to understand the mechanism necessary to work the piston1 let us consider how the supply and condensation of steam must be regulated4 ,when the piston has been forced to the bottom of the cylinder by the atmospheric pressure acting against a vacuum1 in order to balance that pressure1 ,pg#jfh and enable it to be drawn up by the weight of the pump-rod1 it is necessary to introduce steam from the boiler4 ,this is accomplished by opening the cock ,r in the steam pipe ,s4 ,the steam being thus introduced from the boiler1 its pressure balances the action of the atmosphere upon the piston1 which is immediately drawn to the top of the cylinder by the weight of the pump-rod ,d4 ,it then becomes necessary to condense this steam1 in order to produce a vacuum4 ,to accomplish this1 the further supply of steam must be cut off1 which is done by closing the cock ,r4 ,the supply of steam from the boiler being thus suspended1 the application of cold water on the external surface of the cylinder becomes necessary to condense the steam within it4 ,this was done by enclosing the cylinder within another1 leaving a space between them4#ac ,into this space cold water was allowed to flow from a cock ,m placed over it1 supplied by a pipe from the cistern ,n4 ,this cistern is supplied with water by a pump ,o1 which is worked by the engine4 ,the cold water supplied from ,m1 having filled the space between the two cylinders1 abstracts the heat from the inner one2 and condensing the steam1 produces a vacuum1 into which the piston is forced by the atmospheric pressure4 ,preparatory to the next descent1 the water which thus fills the space between the cylinders1 and which is warmed by the heat abstracted from the steam1 must be discharged1 in order to give room for a fresh supply of cold water from ,m4 ,an aperture1 furnished with a cock1 is accordingly provided in the bottom of the cylinder1 through which the water is discharged into the cistern ,l2 and being warm1 is adapted for the supply of the boiler through ,t1 as already mentioned4 ,the cock ,r being now again opened1 steam is admitted below the piston1 which1 as before1 ascends1 and the descent is again accomplished by closing the cock ,r1 and opening the cock ,m1 admitting cold water between the cylinders1 and thereby condensing the steam below the piston4 ,the condensed steam1 thus reduced to water1 will collect ,pg#jfi in the bottom of the cylinder1 and resist the descent of the piston4 ,it is therefore necessary to provide an exit for it1 which is done by a valve opening outwards into a tube which leads to the feeding cistern ,l1 into which the condensed steam is driven4 ,that the piston should continue to be air-tight1 it was necessary to keep a constant supply of water over it2 this was done by a cock similar to ,m1 which allowed water to flow from the pipe ,m on the piston4 7#dj47 ,soon after the first construction of these engines1 an accidental circumstance suggested to ,newcomen a much better method of condensation than the application of cold water on the external surface of the cylinder4 ,an engine was observed to work several strokes with unusual rapidity1 and without the regular supply of the condensing water4 ,upon examining the piston1 a hole was found in it1 through which the water1 which was poured on to keep it air-tight1 flowed1 and instantly condensed the steam under it4 ,on this suggestion ,newcomen abandoned the external cylinder1 and introduced a pipe ,h1 furnished with a cock ,q1 into the bottom of the cylinder1 so that1 on turning the cock1 the pressure of the water in the pipe ,h1 from the level of the water in the cistern ,n1 would force the water to rise as a jet into the cylinder1 and would instantly condense the steam4 ,this method of condensing by injection formed a very important improvement in the engine1 and is still used4 7#da47 ,having taken a general view of the parts of the atmospheric engine1 let us now consider more particularly its operation4 ,when the engine is not working1 the weight of the pump-rod ,d 7fig4 #ad47 draws down the beam ,a1 and draws the piston to the top of the cylinder1 where it rests4 ,let us suppose all the cocks and valves closed1 and the boiler filled to the proper depth4 ,the fire being lighted beneath it1 the water is boiled until the steam acquires sufficient force to lift the valve ,v4 ,when this takes place1 the engine may be started4 ,for this purpose the regulating valve ,r is opened4 ,the steam rushes in1 and is first condensed by the cold cylinder4 ,after a short time the cylinder acquires the temperature of the steam1 which then ,pg#jgj ceases to be condensed1 and mixes with the air which filled the cylinder4 ,the steam and heated air1 having a greater force than the atmospheric pressure1 will open a valve placed at the end ,x of a small tube in the bottom of the cylinder1 and which opens outwards4 ,from this 7which is called the blowing valve#ad7 the steam and air rush in a constant stream1 until all the air has been expelled1 and the cylinder is filled with the pure vapour of water4 ,this process is called blowing the engine preparatory to starting it4 ,when it is about to be started1 the engine-man closes the regulator ,r1 and thereby suspends the supply of steam from the boiler4 ,at the same time he opens the condensing valve ,h#ae2 and thereby throws up a jet of cold water into the cylinder4 ,this immediately condenses the steam contained in the cylinder1 and produces the vacuum4 7,the atmosphere cannot enter the blowing valve1 because it opens outwards1 so that no air can enter to vitiate the vacuum47 ,the atmospheric pressure above the piston now takes effect1 and forces it down in the cylinder4 ,the descent being completed1 the engine-man closes the condensing valve ,h1 and opens the regulator1 ,r4 ,by this means he stops the play of the jet within the cylinder1 and admits the steam from the boiler4 ,the first effect of the steam is to expel the condensing water and condensed steam which are collected in the bottom of the cylinder1 through the tube ,y1 containing a valve which opens outwards 7called the eduction valve71 which leads to the hot cistern ,l1 into which this water is therefore discharged4 ,when the steam admitted through ,r ceases to be condensed1 it balances the atmospheric pressure above the piston1 and thus permits it to be drawn to the top of the cylinder by the weight of the rod ,d4 ,this ascent of the piston is also assisted by the circumstance of the steam being somewhat stronger than the atmosphere4 ,when the piston has reached the top1 the regulating valve ,r is closed1 and the condensing valve ,h opened1 and another descent produced1 as before1 and so the process is continued4 ,pg#jga ,the manipulation necessary in working this engine was1 therefore1 the alternate opening and closing of two valves2 the regulating and condensing valves4 ,when the piston reached the top of the cylinder1 the former was to be closed1 and the latter opened2 and1 on reaching the bottom1 the former was to be opened1 and the latter closed4 7#db47 ,the duty of working the engine requiring no great amount of labour1 or skill1 was usually entrusted to boys1 called1 cock boys4 ,it happened that one of the most important improvements which has ever been made in the working of steam engines was due to the ingenuity of one of these boys4 ,it is said that a lad1 named ,humphrey ,potter1 was employed to work the cocks of an atmospheric engine1 and being tempted to escape from the monotonous drudgery to which his duty confined him1 his ingenuity was sharpened so as to prompt him to devise some means by which he might indulge his disposition to play without exposing himself to the consequences of suspending the performance of the engine4 ,on observing the alternate ascending and descending motion of the beam above him1 and considering it in reference to the labour of his own hands1 in alternately raising and lowering the levers which governed the cocks1 he perceived a relation which served as a clue to a simple contrivance1 by which the steam engine1 for the first time1 became an automaton4 ,when the beam arrived at the top of its play1 it was necessary to open the steam valve by raising a lever1 and to close the injection valve by raising another4 ,this he saw could be accomplished by attaching strings of proper length to these levers1 and tying them to some part of the beam4 ,these levers required to be moved in the opposite direction when the beam attained the lowest point of its play4 ,this he saw could be accomplished by strings1 either connected with the outer arm of the beam1 or conducted over rods or pulleys4 ,in short1 he contrived means of so connecting the levers which governed the two cocks by strings with the beam1 that the beam opened and closed these cocks with the most perfect regularity and certainty as it moved upwards and downwards4 ,besides rendering the machine independent of manual ,pg#jgb superintendence1 this process conferred upon it much greater regularity of performance than any manual superintendence could ensure4 ,this contrivance of ,potter was very soon improved by the substitution of a bar1 called a plug frame1 which was suspended from the arm of the beam1 and which carried upon it pins1 by which the arms of the levers governing the cocks were struck as the plug-frame ascended and descended1 so as to be opened and closed at the proper times4 ,the engine thus improved required no other attendance except to feed the boiler occasionally by the cock ,t1 and to attend the furnace4 7#dc47 ,however the merit of the discovery of the physical principles on which the mechanical application of steam depends may be awarded1 it must be admitted that the engine contrived by ,newcomen and his associates1 considered as a practical machine1 was immeasurably superior to that which preceded it2 superior1 indeed1 to such a degree1 that while the one was incapable of any permanently useful application1 the other soon became a machine of extensive utility in the drainage of mines2 and1 even at the present time1 the atmospheric engine is not unfrequently used in preference to the modern steam engine1 in districts where fuel is abundant and cheap2 the expense of constructing and maintaining it being considerably less than that of an improved steam engine4 ,the low pressure of the steam used in working it1 rendered it perfectly safe4 ,while ,savery's engine1 to work with effect1 required that the steam confined in the vessels should have a bursting pressure amounting to about thirty pounds per square inch1 the pressure of steam in the boiler and cylinder of the atmospheric engine required only a pressure about one pound per square inch4 ,the high pressure also of the steam used in ,savery's engine1 was necessarily accompanied1 as we shall presently explain1 by a greatly increased temperature4 ,the effect of this was1 to weaken and gradually destroy the vessels1 especially those which1 like the steam vessels ,v and ,v 7fig4 #ab471 were alternately heated and cooled4 ,besides these defects1 the power of ,savery's engines was ,pg#jgc also very restricted1 both as to the quantity of water raised and as to the height to which it was elevated4 ,on the other hand1 the atmospheric engine was limited in its power only by the dimensions of its piston4 ,another considerable advantage which the atmospheric engine possessed over that of ,savery1 was the facility with which it was capable of driving machinery by means of the working-beam4 ,the merit1 however1 of ,newcomen's engine1 regarded as an invention1 and apart from merely practical considerations1 must be ascribed principally to its mechanism and combinations4 ,we find in it no new principle1 and scarcely even a novel application of a principle4 ,the agency of the atmospheric pressure acting against a vacuum1 or partial vacuum1 had been long known3 the method of producing a vacuum by the condensation of steam had been suggested by ,papin1 and carried into practical effect by ,savery4 ,the mechanical power obtained from the direct pressure of the elastic force of steam1 used in the atmospheric engine to balance the atmosphere during the ascent of the piston1 was suggested by ,de ,caus and ,lord ,worcester4 ,the boiler1 gauge pipes1 and the regulator1 were all borrowed from the engine of ,savery4 ,the idea of using the atmospheric pressure against a vacuum or partial vacuum1 to work a piston in a cylinder1 had been suggested by ,otto ,guericke1 an ingenious ,german philosopher1 who invented the air-pump2 and this1 combined with the production of a vacuum by the condensation of steam1 was subsequently suggested by ,papin4 ,the use of a working-beam could not have been unknown4 ,nevertheless1 the judicious combination of these scattered principles must be acknowledged to deserve considerable credit4 ,in fact1 the mechanism contrived by ,newcomen rendered a machine which was before altogether inefficient1 highly efficient3 and1 as observed by ,tredgold1 such a result1 considered in a practical sense1 should be more highly valued than the fortuitous discovery of a physical principle4 ,the method of condensing the steam by the sudden injection of water1 and of expelling the air and water from the cylinder by the injection of steam1 are two contrivances not before in use1 which are quite essential to the ,pg#jgd effective operation of the engine4 ,these processes1 which are still necessary to the operation of the improved steam engine1 appear to be wholly due to the inventors of the atmospheric engine4 ,illustration3 ,,atmospheric ,,engine4 ,,footnotes3 #i ,this pipe is represented as proceeding from the force-pipe above the cistern ,c1 in the perspective view of ,savery's engine at the head of this chapter4 #aj ,hot water being lighter than cold1 floats on the surface4 #aa ,captain is a title given in ,cornwall to the superintendent of the works connected with a mine4 #ab ,as the calculation of the power of an engine depends on the number of square inches in the section of the piston1 it may be useful to give a rule for computing the number of square inches in a circle4 ,the following rule will always give the dimensions with sufficient accuracy3--,multiply the number of inches in the diameter by itself2 divide the product by #ad1 and multiply the quotient thus obtained by #aa1 and the result will be the number of square inches in the circle4 ,thus1 if there be #ab inches in the diameter1 this multiplied by itself gives #add1 which divided by #ad gives #aj-d_/dd1 which multiplied by #aa gives #aae1 neglecting fractions4 ,there are1 therefore1 #aae square inches in a circle whose diameter is #ab inches4 #ac ,the external cylinder is not represented in the diagram4 #ad ,also called the snifting valve1 from the peculiar noise made by the air and steam escaping from it4 #ae ,also called the injection valve4 ,pg#jge ,illustration3 ,,greenock1 ,,in #ahbd4 ,,chap4 ,,iii4 ,,progress ,,of ,,the ,,atmospheric ,,engine4 -- ,,smeaton',s ,,improvements4 -- ,,brindley1 ,,engineer ,,of ,,the ,,bridgewater ,,canal4 -- ,,invents ,,the ,,self-,,regulating ,,feeder4 -- ,,james ,,watt4 -- ,,his ,,descent ,,and ,,parentage4 -- ,,anecdotes ,,of ,,his ,,boyhood4 -- ,,his ,,early ,,aquirements4 -- ,,goes ,,to ,,london4 -- ,,returns ,,to ,,glasgow4 -- ,,is ,,appointed ,,instrument-,,maker ,,to ,,the ,,university4 -- ,,opens ,a ,,shop ,,in ,,glasgow4 -- ,,his ,,friends ,,and ,,patrons4 -- ,,adam ,,smith4 -- ,,dr4 ,,black4 -- ,,robert ,,simson4 -- ,,professor ,,robison4 -- ,,watt',s ,,personal ,,character4 -- ,,industrious ,,and ,,studious ,,habits4 -- ,,his ,,attention ,,first ,,directed ,,to ,,steam4 -- ,,experiments ,,on ,,high-,,pressure ,,steam4 -- ,,repairs ,,an ,,atmospheric ,,model4 -- ,,experimental ,,inquiry ,,consequent ,,on ,,this4 -- ,,its ,,results4 -- ,,discovers ,,the ,,great ,,defects ,,of ,,the ,,atmospheric ,,engine4 -- ,,discovery ,,by ,,experiment ,,of ,,the ,,expansion ,,which ,,water ,,undergoes ,,in ,,evaporation4 -- ,,discovers ,,the ,,latent ,,heat ,,of ,,steam4 -- ,,is ,,informed ,,by ,,dr4 ,,black ,,of ,,the ,,theory ,,of ,,latent ,,heat4 7#dd47 ,the atmospheric engine was brought to a state of considerable efficiency and improvement by ,mr4 ,beighton1 in #agah4 ,from that time it continued in use without any change in its ,pg#jgf principle1 and with little improvement in its structure1 for half a century4 ,although engines of this kind continued to be extensively constructed1 they were usually executed by ordinary mechanics1 incapable of applying to them the just principles of practical science2 and1 consequently1 little attention was paid to their proportions4 ,it was not until about the year #aggb1 that ,mr4 ,john ,smeaton1 the celebrated engineer1 applied the powers of his mind to the investigation of this machine1 as he had previously done with such success to wind and water mills4 ,although he did not introduce any new principle into the atmospheric engine1 yet it derived greatly augmented power from the proportions which he established for engines of different magnitudes4 ,in #agei1 ,mr4 ,james ,brindley1 whose name is so celebrated as the engineer of the ,duke of ,bridgewater's canal1 obtained a patent for some improvements in the atmospheric engine4 ,he proposed that the boiler should be made of wood and stone1 with a stove or fire-place of cast iron within it1 so that the fire should be surrounded on every side by water4 ,the chimney was to be an iron pipe or tube1 conducted through the boiler2 so that the heated air1 in passing from the fire1 should impart a portion of its heat to the water4 ,he also proposed a method of feeding the boiler1 which1 by self-acting machinery1 would keep the water in the boiler at a fixed level1 independently of any attention on the part of the engine-man4 ,this was to be accomplished by a buoy or float upon the surface of the water in the boiler1 which should communicate with a valve in the feed-pipe1 so that when the level of the water in the boiler fell1 the float or buoy1 falling with it1 would open the valve and supply the feed4 ,it is stated1 in the ,biographia ,britannica1 that ,mr4 ,brindley1 in #agef1 undertook to erect an engine at ,newcastle-under-,lyne2 but he is said to have been discouraged by the obstacles which were thrown in his way1 and to have abandoned the steam engine4 ,the interval between the invention of the atmospheric engine1 and the amelioration it received at the hands of ,smeaton1 has been rendered memorable by the advent of one who was destined to work a mighty change in the condition ,pg#jgg of the human race by the application of his vast genius to the adaptation of steam power to the uses of life4 7#de47 ,,james ,,watt was born at ,greenock1 in ,scotland1 on the nineteenth day of ,january1 in the year #agcf4af ,the great-grandfather of ,watt1 a farmer in ,aberdeenshire1 was killed in one of the battles of ,montrose4 ,the victorious party1 not thinking death a sufficient expiation for the political opinions in support of which he had fought and bled1 punished him in the person of his son1 by confiscating his little property4 ,thomas ,watt1 the son1 thus deprived of support1 was received by distant relations1 and1 for a time1 applied himself to study1 by which he was enabled1 after the restoration of tranquillity1 to establish himself at ,greenock as a teacher of practical mathematics and navigation4 ,he resided in the burgh or barony of ,crawford's ,dyke1 and attained a position of sufficient respectability to be elected to the office of baron-baillie1 or chief magistrate1 and died in #agcd1 at the advanced age of ninety-two years4 ,thomas ,watt had two sons4 ,the elder1 ,john1 adopted the profession of his father1 and was a teacher of mathematics and navigation at ,glasgow3 he died in #agcg1 at the age of fifty years4 ,the second son1 ,james1 the father of the celebrated engineer1 was1 during a quarter of a century1 treasurer of the town council of ,greenock1 and a local magistrate4 ,he was remarked for the ardent zeal and enlightened spirit with which he discharged his public duties4 ,his business was that of a ship-chandler1 builder1 and general merchant2 but1 unhappily1 notwithstanding his active industry1 he lost1 in the decline of his life1 by unsuccessful commercial speculations1 a part of the property which he had so honourably acquired4 ,he died in #aghb1 at the age of eighty-four years4 ,,james ,,watt1 to whom the world is so largely indebted for the extension and improvement of steam power1 had from his birth an extremely delicate constitution4 ,from his mother1 ,pg#jgh whose family name was ,muirhead1 he received his first lessons in reading1 and he learned from his father writing and arithmetic4 ,although he was entered as a pupil in the grammar school of ,greenock1 yet such was his delicate state of health1 that his attendance there was so interrupted by constant indisposition that he could derive but little benefit from the opportunities of instruction which it afforded4 ,for a great period of the year he was confined to his room1 where he devoted himself to study without the aid of instruction4 ,it was in the retirement of the sick chamber that the high intellectual faculties of ,watt1 which were destined to produce such precious fruits1 began to unfold themselves4 ,he was too sickly to be subjected to the restraints which the business of education usually imposes on children4 ,his parents1 therefore1 found it necessary to leave him at liberty to choose his occupations and amusements4 ,the following anecdotes will show the use he made of this freedom4 ,a friend of his father found the boy one day stretched upon the hearth tracing with chalk various lines and angles4 ,why do you permit this child1 said he1 to waste his time so2 why not send him to school8 ,mr4 ,watt replied1 ,you judge him hastily2 before you condemn us1 ascertain how he is employed4 ,on examining the boy1 then six years of age1 it was found that he was engaged in the solution of a problem of ,euclid6 ,having observed the tendency of his son's mind1 ,mr4 ,watt placed at his disposal a collection of tools4 ,these he soon learned to use with the greatest skill4 ,he took to pieces and put together1 again and again1 all the children's toys which he could procure2 and he was constantly employed in making new ones4 ,subsequently he used his tools in constructing a little electrical machine1 the sparks proceeding from which became a great subject of amusement to all the playfellows of the poor invalid4 ,though endowed with great retentive powers1 ,watt would probably never have figured among the prodigies of a common school3 he would have been slow to commit his lessons to memory1 from the repugnance which he would feel to repeat like a parrot anything which he did not perfectly ,pg#jgi understand4 ,the natural tendency of his mind to meditate on whatever came before it1 would give him1 to superficial observers1 the appearance of dullness4 ,happily1 however1 he had a parent who was sufficiently clear-sighted1 and who entertained high hopes of the growing faculties of his son4 ,more distant and less sagacious relations were not so sanguine4 ,one day ,mrs4 ,muirhead1 the aunt of the boy1 reproaching him for what she conceived to be listless idleness1 desired him to take a book and occupy himself usefully4 ,more than an hour has now passed away1 said she1 and you have not uttered a single word4 ,do you know what you have been doing all this time8 ,you have taken off1 and put on1 repeatedly1 the lid of the tea-pot2 you have been holding the saucers and the spoons over the steam1 and you have been endeavouring to catch the drops of water formed on them by the vapour4 ,is it not a shame for you to waste your time so8 ,mrs4 ,muirhead was little aware that this was the first experiment in the splendid career of discovery which was subsequently to immortalise her little nephew4 ,she did not see1 as we now can1 in the little boy playing with the tea-pot1 the great engineer preluding to those discoveries which were destined to confer on mankind benefits so inestimable4 ,one of the social qualities of mind which was remarkable throughout his life1 was the singular felicity and grace with which he related anecdotes4 ,this power was manifested even in his earliest childhood4 ,the following is an extract from a letter written by ,mrs4 ,marion ,campbell1 his cousin1 and the playfellow of his childhood3-- ,he was not fourteen when his mother brought him to ,glasgow to visit a friend of hers2 his brother ,john accompanied him4 ,on ,mrs4 ,watt's return to ,glasgow1 some weeks after1 her friend said1 ',you must take your son ,james home2 ,i cannot stand the degree of excitement he keeps me in2 ,i am worn out for want of sleep4 ,every evening before ten o'clock1 our usual hour of retiring to rest1 he contrives to engage me in conversation1 then begins some striking tale1 and1 whether humorous or pathetic1 the interest is so overpowering that the family all listen to him with breathless attention1 and hour after hour strikes unheeded4' ,pg#jhj ,watt had a younger brother1 ,john1 who was subsequently lost by shipwreck1 in a voyage from ,scotland to the ,united ,states4 ,this lad1 having determined on following the business of his father1 left ,james more completely at liberty to choose his own occupation4 ,but such a choice was difficult for a student who commanded equal success in every thing to which he directed his attention4 ,the excursions which he was in the habit of making on the ,scottish mountains surrounding ,loch ,lomond1 naturally directed his attention to botany and mineralogy1 in each of which he attained considerable knowledge4 ,his love of anecdote and romance was likewise gratified by the scenery which he enjoyed in these walks2 and the traditions and popular songs with which they made him acquainted4 ,when from ill-health1 as constantly happened1 he was confined to the house1 he devoted himself to chemistry1 natural philosophy1 and even to medicine and surgery4 ,in chemistry he acquired some experimental skill1 and studied with eager zeal the elements of natural philosophy by ,s'4 ,gravesande4 ,his own unhappy maladies prompted him to read works on surgery and medicine2 and to such an extent did the activity of his mind impel him on these subjects1 that he was found one day dissecting1 in his room1 the head of a child1 who had died of some unknown disease1 with a view to ascertain the cause of its death4 ,in #agge1 at the age of nineteen1 at the recommendation of ,dr4 ,dick1 professor of natural philosophy in the university of ,glasgow1 he went to ,london1 where he employed himself in the house of ,mr4 ,john ,morgan1 a mathematical instrument maker1 in ,finch ,lane1 ,cornhill1 to whom he apprenticed himself for three years4 ,he remained1 however1 only a year1 at the expiration of which 7probably owing to his delicate state of health7 he was released from his apprenticeship1 and returned to ,glasgow1 with the intention of establishing himself in business as an optician and mathematical instrument maker4 ,in the fulfilment of this intention1 however1 he was obstructed by the interposition of the ,corporation of ,trades in that town1 who regarded him as an intruder1 not qualified by the necessary apprenticeship to carry on business4 ,all means of conciliation being ,pg#jha exhausted1 the ,professors of the ,university interfered1 and gave him the use of three apartments within the college1 for carrying on his business1 and likewise appointed him mathematical instrument maker to the ,university4 ,soon afterwards the opposition of the local trades seems to have given way1 and he opened a shop in ,glasgow for the sale of mathematical instruments4 ,after the celebrity at which he has arrived1 it will be easily believed that every trace of his earlier connection with ,glasgow college is carefully cherished4 ,there are accordingly preserved at that place little instruments and pieces of apparatus of exquisite workmanship1 which were executed entirely by the hand of ,watt1 at a time when he was not in a condition to command the aid of workmen under him4 ,at the time of obtaining this appointment in the ,university1 ,watt was in his twenty-first year4 ,his natural talents and winning manners were speedily the means of gaining for him the esteem and friendship of all those eminent persons connected at the time with that university whose regard was most valued4 ,among these the earliest of his friends and patrons were--,,adam ,,smith1 the author of ,the ,wealth of ,nations2 ,,black1 afterwards celebrated for his chemical discoveries1 and more especially for his theory of latent heat2 and ,,robert ,,simson1 rendered illustrious by his works on ancient geometry4 ,in releasing ,watt from the persecution of the ,glasgow corporation1 these distinguished persons first imagined that they were conferring a benefit merely on an industrious and clever artisan1 whose engaging manners won their regard2 but a short acquaintance with him was sufficient to convince them how superior his mind was to his position1 and they conceived towards him the most lively friendship4 ,his shop became the common rendezvous1 the afternoon lounge1 of all who were most distinguished for literary and scientific attainments among the professors and students4 ,there they met to discuss the topics of the day in art1 science1 and literature4 ,among these students1 the name which afterwards attained the highest distinctions1 and among these distinctions1 not the least1 the lasting personal friendship and esteem of ,watt himself1 was ,,robison1 ,pg#jhb the author of a well known work on ,mechanics1 and one of the contributors to the ,encyclopdia ,britannica4 ,the following extract from an unpublished manuscript by ,robison himself will show at once the estimation in which ,watt was held1 and will illustrate one of the most interesting traits of his personal character3-- ,i had always1 from my earliest youth1 a great relish for the natural sciences1 and particularly for mathematical and mechanical philosophy1 when ,i was introduced by ,drs4 ,simson1 ,dick1 and ,moor1 gentlemen eminent for their mathematical abilities1 to ,mr4 ,watt4 ,i saw a workman1 and expected no more2 but was surprised to find a philosopher as young as myself1 and always ready to instruct me4 ,i had the vanity to think myself a pretty good proficient in my favourite study1 and was rather mortified at finding ,mr4 ,watt so much my superior4 4 4 4 ,whenever any puzzle came in the way of any of the young students1 we went to ,mr4 ,watt4 ,he needed only to be prompted1 for every thing became to him the beginning of a new and serious study1 and we knew that he would not quit it till he had either discovered its insignificancy1 or had made something of it4 ,he learnt the ,german language in order to peruse ,leupold's ',theatrum ,machinarum2' so did ,i1 to know what he was about4 ,similar reasons made us both learn the ,italian language4 99 99 99 ,when to his superiority of knowledge is added the nave simplicity and candour of ,mr4 ,watt's character1 it is no wonder that the attachment of his acquaintances was strong4 ,i have seen something of the world1 and am obliged to say ,i never saw such another instance of general and cordial attachment to a person whom all acknowledged to be their superior4 ,but that superiority was concealed under the most amiable candour1 and a liberal allowance of merit to every man4 ,mr4 ,watt was the first to ascribe to the ingenuity of a friend things which were nothing but his own surmises1 followed out and embodied by another4 ,i am the more entitled to say this1 as ,i have often experienced it in my own case4 ,watt never permitted the inquiries which arose out of these reunions to interfere with the discharge of the duties of his workshop4 ,there he passed the day1 devoting the ,pg#jhc night to study4 ,every inquiry appeared to him to be attractive in proportion to its difficulty1 and to have charms in proportion as it was removed from the common routine of his business4 ,as an example of this may be mentioned the fact1 that1 being himself so insensible to the charms of music that he could not distinguish one note from another1 he was actually induced to undertake the construction of an organ1 in which he was nevertheless completely successful4 ,the instrument he constructed1 as might have been expected1 contained many improvements in its mechanism2 but what is much more remarkable1 its tone and its musical qualities commanded the admiration of all the professional musicians who heard it4 ,in the construction of this instrument ,watt showed that vigorous spirit of investigation which characterised all the subsequent labours of his life4 ,he made out the scale of temperament by the aid of the phenomena of beats1 of which he could only obtain a knowledge by a profound but obscure work published by ,dr4 ,robert ,smith of ,cambridge4 ,the earliest occasion on which the attention of ,watt is said to have been called to the agency of steam1 was in the year #agei1 when his friend ,robison entertained some speculations for applying that agent as a means of propelling wheel carriages2 and he consulted ,watt on the subject4 ,no record1 however1 has been preserved of any experiments which were tried on this occasion2 nor does it appear that the inquiry was carried farther than a verbal discussion1 such as habitually took place on other subjects of science between ,watt and his friends4 7#df47 ,in #agfb1 ,watt tried some experiments on the force of steam at a high pressure1 confined in a close digester2 and he then constructed a small model to show how motion could be obtained from that power4 ,the practicability of what has since been called the ,high ,pressure ,engine1 was demonstrated by him on this occasion2 but he did not pursue the inquiry1 on account of the supposed danger of working with such compressed steam as was required4 ,it is usual to provide1 in the cabinets of experimental apparatus for the instruction of the students of universities1 ,pg#jhd small working models of the most useful machines4 ,in the collection for the illustration of the lectures delivered to the ,natural ,philosophy class in the ,university of ,glasgow was a working model of ,newcomen's atmospheric engine1 applied to a pump for raising water2 which1 however1 had never been found to work satisfactorily4 ,the ,professor of ,experimental ,philosophy of that day1 ,dr4 ,john ,anderson 7the founder of the celebrated ,andersonian ,institution71 sent this model in #agfc to ,watt's workshop1 to be repaired4 ,its defects soon disappeared1 and it was made to work to the satisfaction of the professor and students4 ,this simple discharge of his duty1 however1 did not satisfy the artisan2 and his wonted activity of mind rendered this model a subject of profound meditation1 and led him into a course of practical inquiry respecting it1 which formed the commencement of a most brilliant career of mechanical discovery4 ,the improvement--we might almost say the creation--of the steam engine1 by this great man1 must not therefore be regarded1 as so often happens with mechanical discoveries1 as the result of fortuitous observation1 or even of a felicitous momentary inspiration4 ,watt1 on the other hand1 conducted his investigation by a course of deep thought1 and of experiments marked by the last refinement of delicacy and address4 ,if he had received a more extended and liberal education1 one would have thought that he had adopted for his guide the celebrated maxim of ,bacon3-- ,to write1 speak1 meditate1 or act1 when we are not provided with facts to direct our thoughts1 is to navigate a coast full of dangers without a pilot1 and to launch into the immensity of the ocean without either rudder or compass4 ,the model which he had repaired1 had a cylinder of only two inches diameter1 and six inches stroke4 ,after he had put it in complete order1 he found1 that although the boiler was much larger in proportion to the cylinder than those of real engines1 yet1 that it was incapable of supplying the cylinder with steam in sufficient quantity to keep it at work4 ,to enable it to continue to move1 he found it necessary to lessen the quantity of water raised by its pump1 so as to ,pg#jhe reduce the load on its piston very much below the proper standard according to the common rules for large engines4 ,he ascribed the great inferiority in the performance of the model1 compared with the performance of the large engines1 to the small size of the cylinder1 and to its material4 ,the cylinder of the model was brass1 while those of large engines were of cast iron2 and brass being a better conductor of heat than iron1 he concluded that more heat in proportion was lost from this cause in the model1 than in the larger engines4 ,he observed that the small cylinder was so heated when the steam was admitted into it1 that it could not be touched by the hand2 but1 nevertheless1 that this heat contributed nothing to its performance1 inasmuch as before the piston descended1 the cylinder required to be cooled4 7#dg47 ,his first attempt to improve the engine1 was by using a wooden cylinder instead of an iron one4 ,he accordingly made a model with a cylinder of wood1 soaked in linseed oil1 and baked to dryness4 ,with this he made numerous experiments1 and found that it required a less quantity of water to be thrown into the cylinder to condense the steam1 and that it was worked with a less supply of steam from the boiler than was necessary with the metallic cylinder4 ,still he found that the force with which the piston descended was considerably less than that which the atmospheric pressure ought to supply1 supposing a tolerably perfect vacuum to be produced under the piston4 ,this led him to suspect that the water injected into the cylinder was not perfectly effectual in condensing the steam4 ,the experiments which he had previously made on the increased temperature at which water boils under pressures greater than that of the atmosphere1 led him by analogy to the conclusion that it would boil at lower temperatures if it were submitted to a pressure less than the atmosphere1 and he was aware that ,dr4 ,cullen and others had then recently discovered that in vacuo1 water would boil at so low a temperature as #ajj4 ,these notions suggested the probability that the water injected into the cylinder being heated by the condensed steam1 might produce vapour of a low temperature ,pg#jhf and reduced pressure under the piston1 which would account for the deficiency he observed in the power of the engine4 ,no means occurred to him by which he could ascertain1 by direct experiment1 the temperatures at which water would boil under pressures less than that of the atmosphere4 ,he sought1 however1 to determine it by the following method4 ,having ascertained1 by repeating and multiplying the experiments which he had tried in #agfb1 on high-pressure steam1 he obtained a table of the temperatures at which water boils at various pressures greater than that of the atmosphere4 ,these results he laid down in a series forming a curve1 of which the abscissa represented the temperatures1 and the ordinates the pressures4 ,he then continued this curve1 backwards as it were1 and obtained1 by analogy1 an approximation to the boiling temperatures1 corresponding to pressures less than that of the atmosphere4 ,in other words1 having obtained by his experiments a notion1 however imperfect1 of the law or rule observed by the temperatures at which water boils at different pressures greater than that of the atmosphere1 he calculated by the same law or rule what the pressures would be at different pressures less than that of the atmosphere4 ,applying these results to the interior of the cylinder of the atmospheric engine1 he obtained an approximation to the pressure of the vapour which would be produced from the warm water formed by the cold water injected into the cylinder1 and the steam condensed by it2 and he accordingly found that vapour1 having a pressure seriously injurious to the power of the engine would be produced in the cylinder1 unless considerably more water of injection was thrown in than was customary4 ,it was apparent that the actual quantity of steam usefully employed in the cylinder at each stroke1 was only the quantity which filled the cylinder2 and therefore1 in order to ascertain the quantity of steam lost by the imperfections of the machine1 it was necessary to compare the actual quantity of steam transmitted by the boiler to the cylinder at each stroke1 with the quantity which would just fill the cylinder4 ,the difference would of course be wasted4 ,but to determine ,pg#jhg the actual quantity of steam supplied by the boiler to the cylinder1 there was no other means than by observing the quantity of water evaporated in the boiler4 ,that being observed1 it was necessary to know the quantity of steam which that water formed2 and it was therefore necessary to determine the quantity or volume of steam which a given volume of water produced4 7#dh47 ,on considering more attentively the operation of the machine1 the following circumstances gradually unfolded themselves to him4 ,let us suppose the piston at the top of the cylinder1 and the space in the cylinder below it1 filled with steam so as to balance the pressure of the atmosphere above the piston4 ,under such circumstances the steam1 as will presently be explained1 must have the temperature of boiling water4 ,but that the steam should have1 and should maintain1 this temperature1 it was evidently necessary that the inner surface of the cylinder in contact with it should have the same temperature3 for if it had a lower temperature1 it would take heat from the steam1 and reduce the temperature of the latter4 ,now the cylinder being a mass of metal1 has a quality in virtue of which heat passes freely through its dimensions1 so that its inner surface could not be maintained at a temperature more elevated than that of its dimensions extending from the inner surface to the outer surface4 ,therefore1 to maintain the steam contained in the cylinder at the proper temperature1 it was essential that the whole of the solid metal composing the cylinder should be itself at that temperature4 ,things being in this state1 it was required that a vacuum should be produced under the piston to give effect to the atmospheric pressure above it1 by relieving it from the pressure below4 ,this1 indeed1 would appear to have been attained by introducing as much cold water within the cylinder as would be sufficient to reconvert the steam contained in it into water2 but ,watt found1 in his experiments on the atmospheric model1 that the piston would not descend with the proper force1 unless a vastly greater quantity of water were introduced into the cylinder than the quantity which he had ascertained to be ,pg#jhh necessary for the reconversion of the steam into water4 ,the cause of this he perceived and fully explained4 ,if we suppose as much1 and no more1 cold water introduced into the cylinder as would reconvert the steam contained in it into water1 then we should have in the bottom of the cylinder a quantity of warm water with a vacuum above it3 but the entire mass of metal composing the cylinder itself1 which was previously at the temperature of boiling water1 would still be at the same temperature4 ,the warm water1 resting in contact with this metal in the bottom of the cylinder1 would be immediately heated by it1 and would rise in its temperature1 while the metal of the cylinder itself would be somewhat lowered in temperature by the heat which it would thus impart to the warm water contained in it4 ,under these circumstances1 as we shall presently explain1 steam would be produced from the water1 which would fill the cylinder2 and although such steam would not have a mechanical pressure equal in amount to the atmosphere1 and therefore would not altogether prevent the piston from descending if it had no load to move1 yet it would deprive the engine of so great a portion of its legitimate power as to render it altogether inefficient4 ,but this defect would be removed by throwing into the cylinder a sufficient quantity of cold water1 not only to destroy the steam contained in it1 but also to cool the entire mass of metal composing the cylinder itself1 until it would be reduced to such a temperature that the vapour proceeding from the water contained in it would have so small a pressure that it would not seriously or injuriously obstruct the descent of the piston4 ,the piston being made to descend with such force as to render the machine practically efficient1 it would then be necessary again to make it ascend2 and to accomplish this1 ,watt found that the boiler should supply a quantity of steam many times greater than was necessary to fill the cylinder4 ,mature reflection on the circumstances which have been just explained1 enabled him to discover how this undue quantity of steam was rendered necessary4 ,let it be recollected1 that when the piston has reached the bottom of the cylinder1 the whole mass of the cylinder1 and ,pg#jhi the piston itself1 are reduced to so low a temperature that the vapour of water1 having the same temperature1 has no pressure sufficiently great to obstruct the action of the machine4 ,when1 in order to make the piston ascend1 steam is introduced from the boiler into the cylinder under the piston1 this steam encounters1 in the first instance1 the cold surfaces of the metal forming the bottom of the cylinder and the bottom of the piston4 ,the first effect of this is to convert the steam which comes from the boiler into water1 an effect which is produced by that steam imparting its heat to the metal with which it comes into contact4 ,this destruction of steam continues until the metal exposed to contact with it has been heated up to the temperature of boiling water4 ,then1 and not till then1 the steam below the piston will have a pressure equal to that of the atmosphere above it1 and the piston will begin to ascend4 ,as it ascends1 however1 the sides of the cylinder which it exposes to the contact of the steam are cold1 and partially destroy the steam4 ,steam1 therefore1 must be supplied from the boiler to replace the steam thus destroyed2 nor can the piston reach the top of the cylinder until such a quantity of steam shall have flowed from the boiler into the cylinder1 as shall be sufficient not only to fill the cylinder under the piston1 but likewise1 by its condensation1 to raise the whole mass of the cylinder and piston to the temperature of boiling water4 ,such were the circumstances which forced themselves upon the attention of ,watt1 in the course of repairing1 and subsequently trying1 the model of the atmospheric engine1 at ,glasgow4 ,being informed generally of the uses of the engine in the drainage of mines1 and of the vast expense attending its operation1 by reason of the quantity of fuel which it consumed1 he saw how important any improvement would be by which the extensive sources of waste which had thus presented themselves could be removed4 ,he saw also1 that all that portion of steam which was expended1 not in filling the cylinder under the piston1 but in heating the great mass of metal composing the cylinder and piston1 from a low temperature to that of boiling water1 upon each stroke of the piston1 was so much heat lost1 and that the proportion of the fuel expended in evaporating the steam thus wasted would be saved1 if by any ,pg#jij expedient he could make the piston descend without cooling the cylinder4 ,but in order to estimate the full amount of this waste1 and to discover the most effectual means of preventing it1 it was necessary to investigate the quantity of heat necessary for the evaporation of a given quantity of water2 also1 the quantity of steam which a given quantity of water would produce1 as well as other circumstances connected with the temperature and pressure of steam4 ,he1 therefore1 applied himself to make experiments with a view to elucidate these questions2 and succeeded in obtaining results which led to the discovery of some of the most important of those physical phenomena1 on the due application of which1 the efficacy of the steam engine1 which he afterwards invented1 depended1 and which also form striking facts in the general physics of heat4 7#di47 ,the first question to which he directed his experiments1 was the determination of the extent to which water enlarged its volume1 or magnitude1 when it passed into steam4 ,to ascertain this1 he filled a thin ,florence flask with steam1 of a pressure equal to the atmosphere1 and weighed it accurately4 ,the same flask was then filled with water1 and weighed again4 ,finally1 the weight of the flask itself was ascertained4 ,it is evident1 that by such means1 the exact weight of the steam which filled the flask1 and of the same bulk of water1 would be obtained4 ,he found that the water weighed about eighteen hundred times more than the steam2 from whence he inferred that the steam which filled the flask contained about eighteen hundred times less water than the flask would contain4#ag ,pg#jia ,having once ascertained this point1 he was able1 by observing the quantity of water evaporated in the boiler of the atmospheric model1 to compute the volume of steam which was supplied to the cylinder4 ,it was evident1 that for every cubic inch of water evaporated in the boiler1 eighteen hundred cubic inches of steam were supplied to the cylinder4 ,having accurately observed the evaporation of the boiler for a short time1 and the number of strokes made by the piston in the same time1 he found that the quantity of water evaporated in the boiler would supply about four times as much steam as the cylinder would require4 ,he consequently inferred1 that about three-fourths of the steam produced was wasted4 ,the next question to which he directed his experiments1 was to ascertain the quantity of cold water necessary to be injected into the cylinder1 in order to condense the steam contained in it4 ,to ascertain this1 he attached a pipe to a boiler1 by which he was enabled to conduct the steam from the boiler into a glass jar containing cold water at fifty-two degrees of temperature4 ,the steam1 as it passed from the boiler through the pipe1 was condensed by the cold water1 and continued to be so condensed1 until1 by the heat which it imparted to the water1 the latter began to boil1 and would then condense no more steam4 ,on comparing the water in the glass jar1 when boiling1 with the water originally contained in it at fifty-two ,pg#jib degrees1 the quantity was found to be increased in the proportion of six to seven1 very nearly2 from which he inferred1 that to reduce one ounce of steam to water1 it was necessary to mix about six ounces of cold water with it4 ,he was further led to the conclusion1 that steam contains a vast quantity of heat1 by the following experiment4 ,he heated1 in a close digester1 a quantity of water several degrees above the common boiling point4 ,when thus heated1 by opening a stop-cock1 he allowed the compressed steam to escape into a cold vessel2 in three or four seconds1 he found that the heat of the water in the digester was reduced from a very high temperature to the common boiling point2 yet1 that all the steam which escaped from it1 and which carried off with it the superabundant heat1 formed only a few drops of water when condensed2 from which he inferred1 that this small quantity of water1 in the form of steam1 contained as much heat as was sufficient to raise all the water in the digester from the boiling point to the temperature at which it was before the steam was allowed to escape4 ,having thus ascertained the exact quantity of cold water which ought to be injected into the cylinder in order to condense the steam which filled the cylinder1 he found1 on comparing the quantity necessary to be injected in order to enable the piston to descend1 that this quantity was about four times as great as that which was necessary to condense the steam4 ,this led him to the conclusion1 that about four times as much heat was destroyed in the cylinder as needed to be destroyed1 if the object were the mere condensation of the steam4 ,this result fully corroborated the other conclusion1 deduced1 from the proportion which he found between the quantity of steam supplied by the boiler and the actual contents of the cylinder4 7#ej47 ,watt was forcibly struck with these circumstances1 not only on account of their importance in an economical point of view1 when their relation to steam power was considered1 but still more so1 as indicating phenomena in the physics of heat altogether novel to him4 ,he1 therefore1 eagerly sought his friend ,dr4 ,black1 to whom he communicated these results4 ,then1 for the first time1 he ,pg#jic was informed1 by ,black1 of the theory of ,,latent ,,heat1 which had recently been discovered by him1 and of which these very phenomena formed the basis4 ,some passages in the works of ,dr4 ,robison produced an erroneous impression1 that a large share of the merit of the discoveries of ,watt which have been just explained was due to ,dr4 ,black1 to whose instructions on the subject of latent heat ,watt was represented to have owed the knowledge of those facts which led to his principal inventions and improvements4 ,we shall here give1 in the words of ,watt himself1 his explanation of the circumstances which led to this error4 ,this explanation is given in a letter addressed by ,watt to ,dr4 ,brewster1 in ,may #ahad1 and prefixed to the third volume of ,brewster's edition of ,robison's ,mechanical ,philosophy3-- ,the representations of friends whose opinions ,i highly value induce me to avail myself of this opportunity of noticing an error into which not only ,dr4 ,robison1 but apparently also ,dr4 ,black1 has fallen1 in relation to the origin of my improvements upon the steam engine1 and which not having been publicly controverted by me1 has1 ,i am informed1 been adopted by almost every subsequent writer upon the subject of latent heat4 ,dr4 ,robison1 in the article ,steam ,engine1 after passing an encomium upon me1 dictated by the partiality of friendship1 qualifies me as the 'pupil and intimate friend of ,dr4 ,black1'--a description which not being there accompanied with any inference1 did not particularly strike me at the time of its first perusal4 ,he afterwards1 in the dedication to me of his edition of ,dr4 ,black's lectures upon chemistry1 goes the length of supposing me to have professed to owe my improvements upon the steam engine to the instructions and information ,i had received from that gentleman1 which certainly was a misapprehension2 as1 though ,i have always felt and acknowledged my obligations to him for the information ,i had received from his conversation1 and particularly for the knowledge of the doctrine of latent heat1 ,i never did nor could consider my improvements as originating in those communications4 ,he is also mistaken in his assertion 7p4 #h4 of the preface to the above work71 that ',i had attended two courses ,pg#jid of the doctor's lectures2' for1 unfortunately for me1 the necessary avocations of my business prevented me from attending his or any other lectures at college2 and as ,dr4 ,robison was himself absent from ,scotland for four years at the period referred to1 he must have been misled by erroneous information4 ,in p4 #ahd4 of the lectures1 ,dr4 ,black says1 ',i have the pleasure of thinking that the knowledge we have acquired concerning the nature of elastic vapours1 in consequence of my fortunate observation of what happens in its formation and condensation1 has contributed in no inconsiderable degree to the public good by suggesting to my friend ,mr4 ,watt of ,birmingham1 then of ,glasgow1 his improvement on this useful engine' 7meaning the steam engine of which he is then speaking74 ,there can be no doubt from what follows in his description of the engine1 and from the very honourable mention which he has made of me in various parts of his lectures1 that he did not mean to lessen any merit that might attach to me as an inventor2 but1 on the contrary1 he was always disposed to give me fully as much praise as ,i deserved4 ,and were that otherwise doubtful1 it would1 ,i think1 be evident from the following quotation from a letter of his to me1 dated #acth ,february #aghc1 where1 speaking of an intended publication by a friend of mine1 on subjects connected with the history of steam1 he says1 ',i think it is very proper for you to give him a short account of your discoveries and speculations2 and particularly to assert clearly and fully your sole right to the honour of the improvements of the steam engine4' ,and in a written testimonial which he very kindly gave me1 on the occasion of a trial at law against a piracy of my invention in #agif-g1 after giving a short account of the invention1 he adds1 ',mr4 ,watt was the sole inventor of the capital improvement and contrivance above mentioned4' ,under this conviction of his candour and friendship1 it is very painful to me to controvert any assertion or opinion of my revered friend2 yet1 in the present case ,i find it necessary to say1 that he appears to me to have fallen into an error2 and ,i hope1 in addition to my assertion1 to make that appear by the short history ,i have given of my invention1 in my ,pg#jie notes upon ,dr4 ,robison's essay1 as well as by the following account of the state of my knowledge previous to my receiving any explanation of the doctrine of latent heat2 and also from that of the facts which principally guided me in the invention4 ,it was known very long before my time1 that steam was condensed by coming into contact with cold bodies1 and that it communicated heat to them2 witness the common still1 c4 c4 ,it was known1 by some experiments of ,dr4 ,cullen and others1 that water and other liquids boiled in vacuo at very low heats2 water below #ajj4 ,it was known to some philosophers that the capacity or equilibrium of heat1 as we then called it1 was much smaller in mercury and tin than in water4 ,it was also known that evaporation caused the cooling of the evaporating liquid1 and bodies in contact with it4 ,i had myself made experiments to determine the following facts3-- ,first1 the capacities of heat for iron1 copper1 and some sorts of wood1 comparatively with water4 ,second1 the bulk of steam compared with that of water4 ,third1 the quantity of water evaporated in a certain boiler by a pound of coals4 ,fourth1 the elasticities of steam at various temperatures greater than that of boiling water1 and an approximation to the law which it followed at other temperatures4 ,fifth1 how much water in the form of steam was required every stroke by a small ,newcomen's engine1 with a wooden cylinder six inches diameter1 and twelve inches stroke4 ,sixth1 the quantity of cold water required in every stroke to condense the steam in that cylinder1 so as to give it a working power of about #g lb4 on the inch4 ,here ,i was at a loss to understand how so much cold water could be heated so much by so small a quantity of water in the form of steam2 and ,i accordingly applied to ,dr4 ,black1 and then first understood what was called latent heat4 ,but this theory1 though useful in determining the quantity of injection necessary where the quantity of water ,pg#jif evaporated by the boiler1 and used by the cylinder1 was known1 and in determining1 by the quantity and heat of the hot water emitted by ,newcomen's engines1 the quantity of steam required to work them did not lead to the improvements ,i afterwards made in the engine4 ,these improvements proceeded upon the old established fact1 that steam was condensed by the contact of cold bodies2 and the later known one1 that water boiled in vacuo at heats below #ajj1 and consequently that a vacuum could not be obtained unless the cylinder and its contents were cooled every stroke to below that heat4 ,illustration3 ,,loch ,,lomond4 ,,footnotes3 #af ,we are indebted for many of the anecdotes of the life of ,watt to the ,eloge ,historique1 recently published by ,m4 ,arago1 who was furnished with all the documents and circumstances relating to this celebrated person which were considered proper for publication1 by his son1 the present ,james ,watt1 ,esq41 of ,aston ,hall1 near ,birmingham1 and to the notes added to this memoir by ,mr4 ,muirhead1 a relative of ,mr4 ,watt4 #ag ,the following is the account of these experiments given in ,watt's own words3-- ,it being evident that there was a great error in ,dr4 ,desagulier's calculations of ,mr4 ,beighton's experiments on the bulk of steam1 a ,florence flask1 capable of containing about a pound of water1 had about one ounce of distilled water put into it2 a glass tube was fitted into its mouth1 and the joining made tight by lapping that part of the tube with packthread covered with glazier's putty4 ,when the flask was set upright1 the tube reached down near to the surface of the water1 and in that position the whole was placed in a tin reflecting oven before a fire until the water was wholly evaporated1 which happened in about an hour1 and might have been done sooner1 had ,i not wished the heat not much to exceed that of boiling water4 ,as the air in the flask was heavier than the steam1 the latter ascended to the top1 and expelled the air through the tube4 ,when the water was all evaporated1 the oven and flask were removed from the fire1 and a blast of cold air was directed against one side of the flask1 to collect the condensed steam in one place4 ,when all was cold1 the tube was removed1 the flask and its contents were weighed with care2 and the flask being made hot1 it was dried by blowing into it by bellows1 and when weighed again was found to have lost rather more than four grains1 estimated at #d-a_/c grains4 ,when the flask was filled with water1 it was found to contain about #ag-a_/h ounces avoirdupois of that fluid which gave about #ahjj for the expansion of water converted into steam of the heat of boiling water4 ,this experiment was repeated with nearly the same result1 and in order to ascertain whether the flask had been wholly filled with steam1 a similar quantity of water was for the third time evaporated2 and1 while the flask was still cold1 it was placed inverted with its mouth 7contracted by the tube7 immersed in a vessel of water1 which it sucked in as it cooled1 until in the temperature of the atmosphere it was filled to within half an ounce measure of water4 ,in repetitions of this experiment at a later date1 ,i simplified the apparatus by omitting the tube1 and laying the flask upon its side in the oven1 partly closing its mouth by a cork1 having a notch on one side1 and otherwise proceeding as has been mentioned4 ,pg#jig ,illustration3 ,,glasgow4 ,,chap4 ,,iv4 ,,exposition ,,of ,,physical ,,principles4 -- ,,thermometer4 -- ,,method ,,of ,,graduating ,,it4 -- ,,freezing ,,and ,,boiling ,,points4 -- ,,latent ,,heat ,,of ,,water4 -- ,,quantity ,,of ,,heat ,,necessary ,,to ,,convert ,,ice ,,into ,,water4 -- ,,quantity ,,of ,,heat ,,given ,,out ,,by ,,water ,,in ,,being ,,converted ,,into ,,ice4 -- ,,process ,,of ,,boiling4 -- ,,of ,,reconversion ,,of ,,steam ,,into ,,water4 -- ,,quantity ,,of ,,heat ,,necessary ,,to ,,convert ,,water ,,into ,,steam4 -- ,,boiling ,,point ,,of ,,water4 -- ,,different ,,in ,,different ,,places4 -- ,,depends ,,on ,,the ,,barometer4 -- ,,varies ,,with ,,the ,,pressure4 -- ,,experimental ,,proof ,,of ,,this4 -- ,,boils ,,at ,,lower ,,temperatures ,,than #bab ,,under ,,pressures ,,less ,,than ,,the ,,atmosphere4 -- ,,sum ,,of ,,latent ,,and ,,sensible ,,heat ,,of ,,steam ,,always ,,the ,,same4 -- ,,the ,,fuel ,,necessary ,,to ,,evaporate ,,water ,,the ,,same1 ,,whatever ,,be ,,the ,,temperature ,,or ,,pressure ,,at ,,which ,,it ,,is ,,evaporated4 -- ,,mechanical ,,force ,,obtained ,,by ,,evaporation4 -- ,,this ,,force ,,nearly ,,the ,,same ,,under ,,all ,,circumstances4 7#ea47 ,we shall pause here to put the reader in possession of the physical and mechanical principles connected with the evaporation of water and other liquids1 which are necessary to enable him to understand the full extent of the value and the merit of the discoveries of ,watt1 and to comprehend the ,pg#jih structure and operation of the steam engine in its improved form1 as it has passed to us from his hands4 ,as we shall frequently have occasion to refer to the indications of a thermometer1 we shall first explain the principle of that instrument as it is commonly used in this country4 ,the thermometer is an instrument used for the purpose of measuring and indicating the temperature or sensible heat of material substances4 ,heat1 like all other physical agents1 can only be measured by its effects4 ,one of these effects best suited for this purpose1 is the change of dimension which all bodies undergo in consequence of their change of temperature4 ,in general1 when heat is applied to a material substance1 that substance undergoes an enlargement of bulk2 and if heat be abstracted from it1 it suffers a diminution of bulk4 ,this variation of magnitude is not always in the same proportion as the increase or diminution of temperature2 but it is so when applied to certain substances and between certain limits4 ,one of the substances whose expansion and contraction through an extensive range of temperature has been found to be nearly uniform1 and which is attended with other convenient qualities for a thermometer1 is the liquid called mercury or quicksilver4 ,a mercurial thermometer is constructed in the following way3-- ,a glass tube is made with a small and uniform bore3 upon the end of this tube1 a bulb is blown1 having a magnitude very great compared with the bore of the tube4 ,let us suppose this bulb and a part of the tube to be filled with mercury4 ,if the mercury contained in the bulb be heated1 it will expand1 and being more susceptible of expansion than the glass which contains it1 the bulb will be too small for its augmented volume3 the mercury in the bulb can only1 therefore1 obtain room for its increased bulk by pressing the mercury in the tube upwards1 which it will accordingly do4 ,the increase of volume which the mercury in the bulb therefore undergoes1 will be exhibited by the increased length of the column in the tube4 ,since the bore of the tube is made so exceedingly minute compared with the magnitude of the bulb1 a very small quantity of mercury forced ,pg#jii from the bulb into the tube1 will cause a considerable increase of the length of the column4 ,small degrees of expansion will therefore be rendered very apparent1 and may be accurately measured4 ,the following is the method by which the thermometer called ,fahrenheit's thermometer is graduated4 ,the tube and bulb being prepared and supplied with mercury1 as already explained1 let the instrument be plunged in a vessel of melting ice4 ,it will be found that the mercury will stand in the tube at a certain point1 from which it will not vary so long as any ice remains not completely melted in the vessel4 ,let a mark be made on the tube1 or on a scale attached to the tube1 at the point corresponding to the top of the column3 the point thus marked is called the freezing point4 ,now let the instrument be immersed in a vessel of boiling water1 the barometer at the time having the height of thirty inches4 ,it will be found that so long as the water is kept boiling1 the column of mercury in the tube will remain stationary4 ,let the point corresponding with the top of the column be marked on the tube1 or on the scale attached to it4 ,this is called the boiling point4 ,let the space on the scale between the freezing and boiling points be now divided into #ahj equal parts3 each of these parts is called a degree4 ,let the same divisions be continued upon the scale below the freezing point1 until thirty-two divisions be taken2 let the lowest division be then marked #j1 and let the successive divisions upwards from that be numbered #a1 #b1 #c1 c4 ,in like manner1 let the same divisions be continued above the boiling point1 as far as the tube will admit4 ,it is evident that1 under these circumstances1 the freezing point will be marked by #cb1 and the boiling point by #bab4 ,it is usual to express the degrees of a thermometer in the same manner as the degrees of a circle1 by placing a small above the number4 ,thus the freezing point is expressed by #cb1 and the boiling point by #bab4 ,the reason the degrees were commenced at #cb below the freezing point was1 because1 when the thermometer was invented1 that temperature was supposed to be the lowest degree of cold possible1 being that of a certain mixture of ,pg#ajj snow and salt4 ,this1 however1 has since been found to be an error1 very much lower temperatures being obtained by various physical expedients4 ,the temperature of a body is1 then1 that elevation to which the thermometer would rise when immersed in that body4 ,thus1 if in plunging the thermometer in water we found the mercury to rise or fall to the division marked #ajj1 we should then say1 the temperature of the water was #ajj4 ,let us suppose a spirit lamp1 or other regular source of heat1 applied to a bath of mercury1 so as to maintain the mercury at a fixed temperature of #bjj1 and let another vessel1 containing a quantity of ice at a temperature of #bj be immersed in the mercury4 ,let a thermometer be placed in the mercury1 and another in the ice4 ,the following effects will then ensue4 ,the thermometer immersed in the ice will be observed gradually to rise from #bj upwards1 until it indicates the temperature of #cb4 ,it will then become stationary1 and the ice which had hitherto remained in a solid state will begin to melt and be converted into water4 ,this process of liquefaction will continue for a considerable time1 during which the thermometer immersed in the ice will constantly be maintained at #cb4 ,at the moment1 however1 when the last portion of ice is liquefied1 the thermometer will begin again to rise4 ,the coincidence of this ascent of the thermometer with the completion of the liquefaction of the ice1 may be very easily observed1 because the ice being lighter1 bulk for bulk1 than water1 will float on the surface1 and so long as a particle of it remains unmelted it will be distinctly seen4 ,now it cannot be doubted that1 during the whole of this process1 the mercury1 supposed to be maintained at #bjj1 constantly imparts heat to the ice2 yet1 from the moment the liquefaction begins1 until it is completed1 no increased temperature is exhibited by the thermometer immersed in the melting ice4 ,if during this part of the process no heat were received by the ice from the mercury1 the consequence would be1 that the application of the lamp would cause the temperature of the mercury to rise above #bjj1 which may be easily demonstrated by withdrawing the vessel of ice from the mercurial bath during the process of liquefaction4 ,the moment ,pg#aja it is withdrawn1 the thermometer immersed in the mercury1 instead of remaining fixed at #bjj1 will begin to rise1 although the action of the lamp remains the same as before2 from which it is evident that the heat which now causes the mercury to rise above #bjj was before received by the melting ice4 ,the heat which thus enters ice in the process of liquefaction1 and which is not indicated by the thermometer1 is for this reason called latent heat4 ,it will be perceived that this phrase is the name of a fact1 and not of an hypothesis4 ,that heat really enters the water1 and is contained in it1 has been established by the experiments2 and to declare that it is present there1 is to declare an established fact4 ,to call it by the name latent heat1 is to declare another established fact1 viz41 that it is not sensible to the thermometer4 ,these facts show us that heat is capable of existing in bodies in two distinct states1 in one of which it is sensible to the thermometer1 and in the other not4 ,heat which is sensible to the thermometer is called1 for distinction1 sensible or free heat4 ,it may be here observed1 that heat which is sensible to the thermometer is also perceptible by the senses1 and heat not sensible to the thermometer is not perceptible by the senses4 ,thus1 ice at #cb and water at #cb feel equally cold1 and yet we have seen that the latter contains considerably more heat than the former4 ,dr4 ,black1 who first noticed the remarkable fact to which we have now alluded1 inferred that ice is converted into water by communicating to it a certain quantity or dose of heat1 which enters into combination with it in a manner analogous to that which takes place when bodies combine chemically4 ,the heat1 thus combined with the solid ice1 loses its property of affecting the senses or the thermometer1 and the effects therefore bear a resemblance to those cases of chemical combination in which the constituent elements change their sensible properties when they form the compound4 ,the fact that the thermometer immersed in the ice remains stationary only as long as the process of liquefaction is going on1 shows that this absorption of heat is necessarily connected with that process1 and that1 were it not for the conversion of ,pg#ajb the solid ice into liquid water1 the heat which is so received would be sensible1 and would cause the thermometer immersed in the ice to rise4 ,before the time of ,black it was supposed that the slightest addition of heat would cause solid ice to be converted into water1 and that the thermometer would immediately pass from the freezing temperature to higher degrees4 ,the experiments above described1 however1 show the falsehood of such a supposition4 ,if1 while the mercurial bath1 in which the ice is immersed1 is maintained at the temperature of #bjj1 the length of time necessary to complete the liquefaction of the ice be observed1 it would be found that that time is about twenty-eight times the length of time which it would take to raise the liquid water from #cb to #cg2 and if it be assumed that the same quantity of heat is imparted to the ice1 during the process of liquefaction1 during each minute1 as is imparted to the water1 during each minute1 in rising from #cb to #cg1 it will follow1 that to liquefy the ice requires twenty-eight times as much heat as is necessary to raise the water from #cb to #cg4 ,it appears1 therefore1 that1 instead of a small quantity of heat being necessary to melt the ice1 a very considerable portion is absorbed in that process4 ,having ascertained the remarkable fact1 that heat is absorbed in a large quantity in the conversion of ice into water1 without rendering the body so absorbing it warmer1 let us now inquire what the exact quantity of heat so absorbed is4 ,we have already stated that1 if the quantity communicated in equal times be the same1 the heat necessary to liquefy a given weight of ice would be twenty-eight times as much as would be necessary to raise the same weight of water from #cb to #cg2 or1 if the heat necessary to raise water through every #e be the same1 that quantity of heat would be sufficient to raise water from #cb to #agb3 and hence we infer1 that as much heat is absorbed in the liquefaction of a given quantity of ice as would raise the same quantity of water through #adj degrees of the thermometric scale4 7#eb47 ,let us now examine the analogous effects produced by the continued application of heat to water in the liquid state4 ,let a small quantity of water be placed in a glass flask of considerable size1 and then closed so as to prevent the escape ,pg#ajc of any vapour4 ,let this vessel be now placed over the flame of a spirit lamp1 so as to cause the water it contains to boil4 ,for a considerable time the water will be observed to boil1 and apparently to diminish in quantity1 until at length all the water disappears1 and the vessel is apparently empty4 ,if the vessel be now removed from the lamp1 and suspended in a cool atmosphere1 the whole of the interior of its surface will presently appear to be covered with a dewy moisture2 and at length a quantity of water will collect in the bottom of it1 equal to that which had been in it at the commencement of the process4 ,that no water has at any period of the experiment escaped from it1 may be easily determined1 by performing the experiment with the glass flask suspended from the arm of a balance1 counterpoised by a sufficient weight suspended from the other arm4 ,the equilibrium will be preserved throughout1 and the vessel will be found to have the same weight1 when to all appearance it is empty1 as when it contains the liquid water4 ,it is evident1 therefore1 that the water exists in the vessel in every stage of the process1 but that it becomes invisible when the process of boiling has continued for a certain length of time2 and it may be shown that it will continue to be invisible1 provided the flask be exposed to a temperature considerably elevated4 ,thus1 for example1 if it be suspended in a vessel of boiling water1 the water which it contains will continue to be invisible2 but the moment it is withdrawn from the boiling water1 and exposed to the cold air1 the water will again become visible1 as above mentioned1 forming a dew on the inner surface1 and finally collecting in the bottom1 as in the commencement of the experiment4 ,in fact1 the liquid has1 by the process of boiling1 been converted into vapour1 or steam1 which is a body similar in its leading properties to common air1 and1 like it1 is invisible4 ,it will hereafter appear that it likewise possesses the property of elasticity1 and other mechanical qualities enjoyed by gases in general4 7#ec47 ,again1 let an open vessel be filled with water at #fj1 and placed in a mercurial bath1 which is maintained1 by a fire or lamp applied to it1 at the temperature of #bcj4 ,place a thermometer in the water1 and it will be observed gradually to ,pg#ajd rise as the temperature of the water is increased by the heat which it receives from the mercury in which it is immersed4 ,the water will steadily rise in this manner until it attains the temperature of #bab2 but here the thermometer immersed in it will become stationary4 ,at the same time the water contained in the vessel will become agitated1 and its surface will present the same appearance as if bubbles of air were rising from the bottom1 and issuing at the top4 ,a cloudy vapour will be given off in large quantities from its surface4 ,this process is called ebullition or boiling4 ,if it be continued for any considerable time1 the quantity of water in the vessel will be sensibly diminished2 and at length every particle of it will disappear1 and the vessel will remain empty4 ,during the whole of this process1 the thermometer immersed in the water will remain stationary at #bab4 ,now1 it will be asked1 what has become of the water8 ,it cannot be imagined that it has been annihilated4 ,we shall be able to answer this by adopting means to prevent the escape of any particle of matter from the vessel containing the water1 into the atmosphere or elsewhere4 ,let us suppose that the top of the vessel containing the water is closed1 with the exception of a neck communicating with a tube1 and let that tube be carried into another close vessel removed from the cistern of heated mercury1 and plunged in another cistern of cold water4 ,such an apparatus is represented in fig4 #ae4 ,illustration3 ,fig4 #ae4 ,a is a cistern of heated mercury1 in which the glass vessel ,b1 containing water1 is immersed4 ,from the top of the vessel ,b proceeds a glass tube ,c1 inclining downwards1 and entering a glass vessel ,d1 which is immersed in a cistern ,e of cold water4 ,if the process already described be continued until the water by constant ebullition has disappeared1 as already mentioned1 ,pg#aje from the vessel ,b1 it will be found that a quantity of water will be collected in the vessel ,d2 and if this water be weighed1 it will be found to have exactly the same weight as the water had which was originally placed in the vessel ,b4 ,it is1 therefore1 quite apparent that the water has passed by the process of boiling from the one vessel to the other2 but1 in its passage1 it was not perceptible by the sight4 ,the tube ,c and the upper part of the vessel ,b1 had the same appearance1 exactly1 as if they had been filled with atmospheric air4 ,that they are not merely filled with atmospheric air may1 however1 be easily proved4 ,when the process of boiling first commences1 it will be found that the tube ,c is cold1 and the inner surface dry4 ,when the process of ebullition has continued a short time1 the tube ,c will become gradually heated1 and the inner surface of it covered with moisture4 ,after a time1 however1 this moisture disappears1 and the tube attains the temperature #bab4 ,in this state it continues until the whole of the water is discharged from the vessel ,b to the vessel ,d4 7#ed47 ,these effects are easily explained4 ,the water in the vessel ,b is incapable of receiving any higher temperature than #bab1 consistently with its retaining the liquid form4 ,small portions1 therefore1 are constantly converted into steam by the heat received from the surrounding mercury1 and bubbles of steam are formed on the bottom and sides of the vessel ,b4 ,these bubbles1 being very much lighter1 bulk for bulk1 than water1 rise rapidly through the water1 just in the same manner as bubbles of air would1 and produce that peculiar agitation at its surface which has been taken as the external indication of boiling4 ,they escape from the surface1 and collect in the upper part of the vessel4 ,the steam thus collected1 when it first enters the tube ,c1 is cooled below the temperature of #bab by the surface of the tube2 and consequently1 being incapable of remaining in the state of vapour at any lower temperature than #bab1 it is reconverted into water1 and forms the dewy moisture which is observed in the commencement of the process on the interior of the tube ,c4 ,at length1 however1 the whole of the tube ,c is heated to the temperature of #bab1 and the moisture which was previously collected upon its inner ,pg#ajf surface is again converted into steam4 ,as the quantity of steam evolved from the water in ,b increases1 it drives before it the steam previously collected in the tube ,c1 and forces it into the vessel ,b4 ,here it encounters the inner surface of this vessel1 which is kept constantly cold by being surrounded with the cold water in which it is immersed2 and the vapour1 being thus immediately reduced below the temperature of #bab1 is reconverted into water4 ,at first it collects in a dew on the surface of the vessel ,d2 but as this accumulates1 it drops into the bottom of the vessel1 and forms a more considerable quantity4 ,as the quantity of water is observed to be gradually diminished in the vessel ,b1 the quantity will be found to be gradually increased in the vessel ,d2 and if the operation be suspended at any stage of the process1 and the water in the two vessels weighed1 it will be found that the weight of the water in ,d is exactly equal to the weight which the water in ,b has lost4 7#ee47 ,the demonstration is1 therefore1 perfect1 that the gradual diminution of the boiling water in the vessel ,b is produced by the conversion of that water into steam by the heat4 ,in the process first described1 when the top of the vessel ,b was supposed to be open1 this steam made its escape into the air1 where it was first dispersed1 and subsequently cooled in separate particles1 and was deposited in minute globules of moisture on the ground and on surrounding objects4 7#ef47 ,in reviewing this process1 we are struck by the fact1 that the continued application of heat to the vessel ,b is incapable of raising the temperature of the water contained in it above #bab4 ,this presents an obvious analogy to the process of liquefaction1 and leads to inquiries of a similar nature1 which are attended with a like result4 ,we must either infer1 that the water1 having arrived at #bab1 received no more heat from the mercury2 or that such heat1 if received1 is incapable of affecting the thermometer2 or1 finally1 that the steam which passes off carries this heat with it4 ,that the water receive heat from the mercury1 will be proved by the fact1 that1 if the vessel ,b be removed from the mercury1 other things remaining as before1 the temperature of the mercury will rapidly rise1 and if the fire be continued1 it will even boil2 but so long as the ,pg#ajg vessel ,b remains immersed1 it prevents the mercury from increasing in temperature4 ,it therefore receives that heat which would otherwise raise the temperature of the quicksilver4 ,illustration3 ,fig4 #af4 ,if a thermometer be immersed in the steam which collects in the upper part of the vessel ,b1 it will show the same temperature 7of #bab7 as the water from which it is raised4 ,the heat1 therefore1 received from the mercury1 is clearly not imparted in a sensible form to the steam1 which has the same temperature in the form of steam as it had in the form of water4 ,what has been already explained respecting liquefaction would lead us1 by analogy1 to suspect that the heat imparted by the mercury to the water has become latent in the steam1 and is instrumental to the conversion of water into steam1 in the same manner as heat has been shown to be instrumental to the conversion of ice into water4 ,as the fact was in that case detected by mixing ice with water1 so we shall1 in the present instance1 try it by a like test1 viz4 by mixing water with steam4 ,let about five ounces and a half of water1 at the temperature of #cb1 be placed in a vessel ,a 7fig4 #af471 and let another vessel ,b1 in which water is kept constantly boiling at the temperature of #bab1 communicate with ,a by a pipe ,c proceeding from the top1 so that the steam may be conducted from ,b1 and escape from the mouth of the pipe at some depth below the surface of the water in ,a4 ,as the steam issues from the pipe1 it will be immediately reconverted into water by the cold water which it encounters2 and1 by continuing this process1 the water in ,a will be gradually heated by the steam combined with it and received through the pipe ,c4 ,if this process be continued until the water in ,a is raised to the temperature of #bab1 it will boil4 ,let it then be weighed1 and it will be found to weigh six ounces and a half3 from whence we infer1 that one ounce of water has been received from the vessel ,b in the form of steam1 and has been reconverted into water by the inferior temperature of the water in ,a4 ,now1 this ounce of water received in the form of steam into the vessel ,a had1 when in that form1 the temperature of #bab4 ,it is now ,pg#ajh converted into the liquid form1 and still retains the same temperature of #bab2 but it has caused the five ounces and a half of water with which it has been mixed1 to rise from the temperature of #cb to the temperature of #bab1--;and this1 without losing any temperature itself4 ,it follows1 therefore1 that1 in returning to the liquid state1 it has parted with as much heat as is capable of raising five times and a half its own weight of water from #cb to #bab4 ,this heat was combined with the steam1 though not sensible to the thermometer2 and was1 therefore1 latent4 ,had it been sensible in the water in ,b1 it would have caused the water to have risen through a number of thermometric degrees1 amounting to five times and a half the excess of #bab above #cb2 that is1 through five times and a half #ahj2 for it has caused five times and a half its own weight of water to receive an equal increase of temperature4 ,but five times and a half #ahj is #iij1 or1 to use round numbers 7for minute accuracy is not here our object71 #ajjj4 ,it follows1 therefore1 that an ounce of water1 in passing from the liquid state at #bab to the state of steam at #bab1 receives as much heat as would be sufficient to raise it through #ajjj thermometric degrees1 if that heat1 instead of becoming latent1 had been sensible4 7#eg47 ,in order to derive all the knowledge from these experiments which they are capable of imparting1 it will be necessary to examine very carefully how water comports itself under a variety of different circumstances4 ,if water be boiled in an open vessel1 with a thermometer immersed1 on different days1 it will be observed that the fixed temperature which it assumes in boiling will be subject to a variation within certain small limits4 ,thus1 at one time1 it will be found to boil at the temperature of #baj2 while1 at others1 the thermometer immersed in it will rise to #bac2 and1 on different occasions1 it will fix itself at different points within these limits4 ,it will also be found1 if the same experiment be performed at the same time in distant places1 that the boiling points will be subject to a like variation4 ,now1 it is natural to inquire what cause produces this variation2 and we shall be led to the discovery of the cause1 by examining what other physical effects undergo a simultaneous change4 ,pg#aji ,if we observe the height of the barometer at the time of making each experiment1 we shall find a very remarkable correspondence between it and the boiling temperature4 ,invariably1 whenever the barometer stands at the same height1 the boiling temperature will be the same4 ,thus1 if the barometer stands at #cj inches1 the boiling temperature will be #bab4 ,if the barometer fall to #bi-a_/b inches1 the thermometer stands at a small fraction above #baa4 ,if the barometer rise to #cj-a_/b inches1 the boiling temperature rises to nearly #bac4 ,the variation in the boiling temperature is1 then1 accompanied by a variation in the pressure of the atmosphere indicated by the barometer2 and it is constantly found that the boiling point will remain unchanged1 so long as the atmospheric pressure remains unchanged1 and that every increase in the one causes a corresponding increase in the other4 7#eh47 ,from these facts it must be inferred1 that the pressure excited on the surface of the water has a tendency to resist its ebullition1 and to make it necessary1 before it can boil1 that it should receive a higher temperature2 and1 on the contrary1 that every diminution of pressure on the surface of the water will give an increased facility to the process of ebullition1 or will cause that process to take place at a lower temperature4 ,as these facts are of the utmost importance in the theory of heat1 it may be useful to verify them by direct experiment4 ,if the variable pressure excited on the surface of the water by the atmosphere be the cause of the change in the boiling temperature1 it must happen1 that any change of pressure produced by artificial means on the surface of the water must likewise change the boiling point1 according to the same law4 ,thus1 if a pressure considerably greater than the atmospheric pressure be excited on a liquid1 the boiling point may be expected to rise considerably above #bab2 and1 on the other hand1 if the surface of the water be relieved from the pressure of the atmosphere1 and be submitted to a considerably diminished pressure1 the water would boil below #bab4 ,illustration3 ,fig4 #ag4 ,let ,b 7fig4 #ag47 be a strong spherical vessel of brass1 supported on a stand ,s1 under which is placed a large spirit lamp ,l1 or other means of heating it4 ,in the top of this vessel are three apertures1 in two of which are screwed a ,pg#aaj thermometer ,t1 the bulb of which enters the hollow brass sphere1 and a stop-cock ,c1 which may be closed or opened at pleasure1 to confine the steam1 or allow it to escape4 ,in the third aperture at the top1 is screwed a long barometer tube1 open at both ends4 ,the lower end of this tube extends nearly to the bottom of the spherical vessel ,b4 ,in the bottom of this vessel is placed a quantity of mercury1 the surface of which rises to some height above the lower end of the tube ,a4 ,over the mercury is poured a quantity of water1 so as to half fill the vessel ,b4 ,matters being thus arranged1 the screws are made tight1 so as to confine the water1 and the lamp is allowed to act on the vessel2 the temperature of the water is raised1 and steam is produced1 which1 being confined within the vessel1 exerts its pressure on the surface of the water1 and resists its ebullition4 ,the pressure of the steam acting on the surface of the water is communicated to the surface of the mercury1 and it forces a portion of the mercury into the tube ,a1 which presently rises above the point where the tube is screwed into the top of the vessel ,b4 ,as the action of the lamp continues1 the thermometer ,t exhibits a gradually increasing temperature2 while the column of mercury in ,a shows the force with which the steam presses on the surface of the water in ,b1--this column being balanced by the pressure of the steam4 ,thus1 the temperature and pressure of the steam at the same moment may always be observed by inspecting the thermometer ,t and the tube ,a4 ,when the column in the tube ,a has risen to the height of #cj inches above the level of the mercury in the vessel ,b1 then the pressure of the steam will be equivalent to double the pressure of the atmosphere1 because1 the tube ,a being open at the top1 the atmosphere presses on the ,pg#aaa surface of the mercury in it4 ,the thermometer ,t will be observed gradually to rise until it attains the temperature of #bab2 but it will not stop there1 as it would do if immersed in water boiled in an open vessel4 ,it will1 on the other hand1 continue to rise2 and when the column of mercury in ,a has attained the height of #cj inches1 the thermometer ,t will have risen to #bea1--;being #ci above the ordinary boiling point4 ,during the whole of this process1 the surface of the water being submitted to a constantly increasing pressure1 its ebullition is prevented1 and it continues to receive heat without boiling4 ,that it is the increased pressure which resists its ebullition1 and causes it to receive a temperature above #bab1 may be easily shown4 ,let the stop-cock ,c be opened2 immediately the steam in ,b1 having a pressure considerably greater than that of the atmosphere1 will rush out1 and will continue to issue from ,c1 until its pressure is balanced by the atmosphere4 ,at the same time the column of mercury in ,a will be observed rapidly to fall1 and to sink below the orifice by which it is inserted in the vessel ,b4 ,the thermometer ,t will also fall until it attains the temperature of #bab4 ,at that point1 however1 it will remain stationary2 and the water will now be distinctly heard to be in a state of rapid ebullition4 ,if the stop-cock ,c be once more closed1 the thermometer will begin to rise1 and the column of mercury ascending in ,a will be again visible4 ,if1 instead of a stop-cock being at ,c1 the aperture were made to communicate with a valve1 like the safety-valve of a steam engine1 loaded with a certain weight1--say at the rate of #ae lbs4 on the square inch1--then the thermometer ,t1 and the mercury in the tube ,a1 would not rise indefinitely as before4 ,the thermometer would continue to rise till it attained the temperature of #bea2 and the mercury in the tube ,a would rise to the height of #cj inches4 ,at this limit the resistance of the valve would be balanced by the pressure of the steam2 and as fast as the water would have a tendency to produce steam of a higher pressure1 the valve would be raised and the steam suffered to escape2 the thermometer ,t and the column of mercury in ,a remaining stationary during this process4 ,if the valve were loaded more heavily1 the phenomena would be ,pg#aab the same1 only that the mercury in ,t and ,a would become stationary at certain heights4 ,but1 on the other hand1 if the valve were loaded at a less pressure than #ae lbs4 on the square inch1 then the mercury in the two tubes would become stationary at lower points4 7#ei47 ,these experiments show that every increase of pressure above the ordinary pressure of the atmosphere causes an increase in the temperature at which water boils4 ,we shall now inquire whether a diminution of pressure will produce a corresponding effect on the boiling point4 ,this may be easily accomplished by the aid of an air pump4 ,let water at the temperature of #bjj be placed in a glass vessel under the receiver of an air pump1 and let the air be gradually withdrawn4 ,after a few strokes of the pump1 the water will boil2 and if the mercurial gauge of the pump be observed1 it will be found that its altitude will be about #bc-a_/b inches4 ,thus the pressure to which the water is submitted has been reduced from the ordinary pressure of the atmosphere expressed by the column of #cj inches of mercury1 to a diminished pressure expressed by #bc-a_/b inches2 and we find that the temperature at which the water boils has been lowered from #bab to #bjj4 ,let the same experiment be repeated with water at the temperature of #ahj1 and it will be found that a further rarefaction of the air is necessary1 but the water will at length boil4 ,if the gauge of the pump be now observed1 it will be found to stand at about fifteen inches1 showing1 that at the temperature of #ahj water will boil under half the ordinary pressure of the atmosphere4 ,these experiments may be varied and repeated2 and it will be always found1 that1 as the pressure is diminished or increased1 the temperature at which the water will boil will be also diminished or increased4 7#fj47 ,the same effects may be exhibited in a striking manner without an air pump1 by producing a vacuum by the condensation of steam4 ,let a small quantity of water be placed in a thin glass flask1 and let it be boiled by holding it over a spirit lamp4 ,when the steam is observed to issue abundantly from the mouth of the flask1 let it be quickly corked and removed from the lamp4 ,the process of boiling will then cease1 and the water will become quiescent2 but if the flask be plunged ,pg#aac in a vessel of cold water1 the water it contains will again pass into a state of violent ebullition1 thus exhibiting the singular fact of water being boiled by cooling it4 ,this effect is produced by the cold medium in which the flask is immersed1 causing the steam above the surface of the water in it to be condensed1 and therefore relieving the water from its pressure4 ,the water1 under these circumstances1 boils at a lower temperature than when submitted to the pressure of the uncondensed vapour4 7#fa47 ,there is no limit to the temperature to which water may be raised1 if it be submitted to a sufficient pressure to resist its tendency to take the vaporous form4 ,if a strong metallic vessel be nearly filled with water1 so as to prevent the liquid from escaping by any force which it can exert1 the water thus inclosed may be heated to any temperature whatever without boiling2 in fact1 it may be made red-hot2 and the temperature to which it may be raised will have no limit1 except the strength of the vessel containing it1 or the point at which the metal of which it is formed may begin to soften or to be fused4 7#fb47 ,the following table will show the temperature at which water will boil under different pressures of the atmosphere corresponding to the altitudes of the barometer between #bf and #ca inches4 ,barometer4 ,boiling ,point4 #bf inches #bjdia #bfe #bjegi #bg #bjffg #bge #bjgee #bh #bjhdc #bhe #bjica #bi #bajai #bie #baajg #cj #bab #cje #babhh #ca #bacgf ,from this table it appears1 that1 for every tenth of an inch which the barometric column varies between these limits1 the boiling temperature changes by the fraction of a degree expressed by the decimal #agf1 or nearly by the vulgar fraction #a_/f4 7#fc47 ,in the experiment already described1 by which the latent ,pg#aad heat of steam was determined1 the water was supposed to be boiled under the ordinary pressure of the atmosphere4 ,having seen1 however1 that water may boil at different temperatures1 under different pressures1 the inquiry presents itself1 whether the heat absorbed in vaporisation at different temperatures1 and under different pressures1 is subject to any variation8 ,experiments of the same nature as those already described1 instituted upon water in a state of ebullition at different temperatures1 as well below as above #bab1 have led to the discovery of a very remarkable fact in the theory of vapour4 ,it has been found that the heat absorbed by vaporisation is always less1 the higher the temperature at which the ebullition takes place2 and less1 by the same amount as the temperature of ebullition is increased4 ,thus1 if water boil at #cab1 the heat absorbed in ebullition will be less by #ajj than if it boiled at #bab2 and again1 if water be boiled under a diminished pressure1 at #aab1 the heat absorbed in vaporisation will be #ajj more than the heat absorbed by water boiled at #bab4 ,it follows1 therefore1 that the actual consumption of heat in the process of vaporisation must be the same1 whatever be the temperature at which the vaporisation takes place2 for whatever heat is saved in the sensible form1 is consumed in the latent form1 and vice vers4 ,let us suppose a given weight of water at the temperature of #cb to be exposed to any regular source by which heat may be supplied to it4 ,if it be under the ordinary atmospheric pressure1 the first #ahj of heat which it receives will raise it to the boiling point1 and the next #ajjj will convert it into steam4 ,thus1 in addition to the heat which it contains at #cb1 the steam at #bab contains #aahj of heat4 ,but if the same water be submitted to a pressure equal to half the atmospheric pressure1 then the first #adh of heat which it receives will cause it to boil1 and the next #ajcb will convert it into vapour4 ,thus1 steam at the temperature of #ahj contains a quantity of heat more than the same quantity of water at #cb1 by #ajcb added to #adh1 which gives a sum of #aahj4 ,steam1 therefore1 raised under the ordinary pressure of the atmosphere at #bab1 and steam raised under half that pressure at #ahj1 contain the same quantity of heat1--with this difference ,pg#aae only--that the one has more latent heat1 and less sensible heat1 than the other4 ,from this fact1 that the sum of the latent and sensible heats of the vapour of water is constant1 it follows that the same quantity of heat is necessary to convert a given weight of water into steam1 at whatever temperature1 or under whatever pressure1 the water may be boiled4 ,it follows1 also1 that1 in the steam engine1 equal weights of high-pressure and low-pressure steam are produced by the same consumption of fuel2 and that1 in general1 the consumption of fuel is proportional to the quantity of water vaporised1 whatever the pressure of the steam may be4#ah 7#fd47 ,having explained the conditions under which1 by supplying heat to water1 it is converted into steam1 and1 by abstracting heat from steam1 it may be reconverted into water1 let us now consider the mechanical force which is developed in these phenomena4 ,illustration3 ,fig4 #ah4 ,let ,a ,b 7fig4 #ah47 be a tube1 or cylinder1 the base of which is equal to a square inch1 and let a piston ,p move in it so as to be steam-tight4 ,let it be supposed1 that under this piston there is1 in the bottom of the cylinder1 a cubic inch of water between the bottom of the piston and the bottom of the tube2 let the piston be counterbalanced by a weight ,w acting over a pulley1 which will be just sufficient to counterpoise the weight of the piston1 so as leave no force tending to keep the piston down1 except the force of the atmosphere acting above it4 ,under the circumstances here supposed1 the piston being in contact with the water1 and all air being excluded1 it will be pressed down by the weight of the atmosphere1 which we will suppose to be fifteen pounds1 the magnitude of the piston being a square inch4 ,pg#aaf ,now let the flame of a lamp be applied at the bottom of the tube2 the water under the piston having its temperature thereby gradually raised1 and being submitted to no pressure save that of the atmosphere above the piston1 it will begin to be converted into steam when it has attained the temperature of #bab4 ,according as it is converted into steam1 it will cause the piston to ascend in the tube until all the water has been evaporated4 ,if the tube were constructed of sufficient length1 the piston then would be found to have risen to the height of about seventeen hundred inches1 or one hundred and forty-two feet2 since1 as has been already explained1 water passing into steam under the ordinary pressure of the atmosphere undergoes an increase of bulk in the proportion of about seventeen hundred to one4 ,now in this process1 the air above the piston1 which presses on it with a force equal to fifteen pounds1 has been raised one hundred and forty-two feet4 ,it appears1 therefore1 that1 by the evaporation of a cubic inch of water under a pressure equal to fifteen pounds per square inch1 a mechanical force of this amount is developed4 ,it is evident that fifteen pounds raised one hundred and forty-two feet successively1 is equivalent to one hundred and forty-two times fifteen pounds raised one foot4 ,now1 one hundred and forty-two times fifteen is two thousand one hundred and thirty1 and therefore the force thus obtained is equal to two thousand one hundred and thirty pounds raised one foot high4 ,this being within about #aaj pounds of a ton1 it may be stated1 in round numbers1 that1 by the evaporation of a cubic inch of water under these circumstances1 a force is obtained equal to that which would raise a ton weight a foot high4 ,the augmentation of volume which water undergoes in passing into steam under the pressure here supposed1 may be easily retained in the memory1 from the accidental circumstance that a cubic inch of water is converted into a cubic foot of steam1 very nearly4 ,a cubic foot contains one thousand seven hundred and twenty-eight cubic inches1--which is little different from the proportion which steam bears to water1 when raised under the atmospheric pressure4 ,pg#aag 7#fe47 ,it will1 therefore1 be an advantage to retain in memory the following general facts3-- #a4 ,a cubic inch of water evaporated under the ordinary atmospheric pressure1 is converted into a cubic foot of steam4 #b4 ,a cubic inch of water evaporated under the atmospheric pressure1 gives a mechanical force equal to what would raise about a ton weight a foot high4 7#ff47 ,let us1 again1 suppose the piston ,p 7fig4 #bc47 to be restored to its original position1 with the liquid water beneath it2 and1 in addition to the weight of the atmosphere which before pressed it down1 let us suppose another weight of fifteen pounds laid upon it1 so that the water below shall be pressed by double the weight of the atmosphere4 ,if the lamp were now applied1 and at the same time a thermometer were immersed in the water1 it would be found that the water would not begin to be converted into steam until it attained the temperature of about #bej4 ,the piston would then begin1 as before1 to ascend1 and the water to be gradually converted into vapour4 ,the water being completely evaporated1 it would be found that the piston would be raised to a height little more than half its former height1 or #gb feet4 ,the mechanical effect1 therefore1 thus obtained1 will be equivalent to double the former weight raised half the former height4 ,in like manner1 if the piston were loaded with thirty pounds in addition to the atmosphere1 the whole pressure on the water being then three times the pressure first supposed1 the piston would be raised to somewhat more than one third of its first height by the evaporation of the water4 ,this would give a mechanical force equivalent to three times the original weight raised a little more than one third of the original height4 ,in general1 as the pressure on the piston is increased1 the height to which the piston would be raised by the evaporation of the water will be diminished in a proportion somewhat less than the proportion in which the pressure on the piston is increased4 ,if the temperature at which the water is converted into steam under these different pressures were the same1 then the height to which the piston would be raised by the evaporation of the water would be diminished in precisely ,pg#aah the same proportion as the pressure on the piston is increased2 and1 in that case1 the whole mechanical force developed by the evaporation of the water would remain exactly the same under whatever pressure the water might be boiled4 ,we shall explain hereafter the extent to which the variation of temperature in the water and steam corresponding to the variation of pressure modifies this law2 but1 as the effect of the difference of temperatures is not considerable1 it will be convenient to register in the memory the following important practical conclusion3-- 7#fg47 ,a cubic inch of water converted into steam will supply a mechanical force very nearly equal to a ton weight raised a foot high2 and this force will not be subject to considerable variation1 whatever be the temperature or pressure at which the water may be evaporated4 ,illustration3 ,,glasgow4 ,,footnotes3 #ah ,the preceding paragraphs1 and some other parts of the present volume on the general properties of ,heat1 are taken from my ,treatise on ,heat1 in the ,cabinet ,cyclopdia1 to which those who desire more detailed explanation and more copious illustration should refer4 ,pg#aai ,illustration3 ,,glasgow ,,college4 ,,chap4 ,v4 ,,watt ,,finds ,,that ,,condensation ,,in ,,the ,,cylinder ,,is ,,incompatible ,,with ,a ,,due ,,economy ,,of ,,fuel4 -- ,,conceives ,,the ,,notion ,,of ,,condensing ,,out ,,of ,,the ,,cylinder4 -- ,,discovers ,,separate ,,condensation4 -- ,,invents ,,the ,,air-,,pump4 -- ,,substitutes ,,steam ,,pressure ,,for ,,atmospheric ,,pressure4 -- ,,invents ,,the ,,steam ,,case1 ,,or ,,jacket4 -- ,,his ,,first ,,experiments ,,to ,,realise ,,these ,,inventions4 -- ,,his ,,experimental ,,apparatus4 -- ,,difficulties ,,of ,,bringing ,,the ,,improved ,,engines ,,into ,,use4 -- ,,watt ,,practises ,,as ,a ,,civil ,,engineer4 -- ,,his ,,partnership ,,with ,,roebuck4 -- ,,his ,,first ,,patent4 -- ,,description ,,of ,,his ,,single-,,acting ,,steam ,,engine4 7#fh47 ,at the period to which we have now brought the history of the invention of the steam engine1 ,watt had obtained1 chiefly by his own experiments1 a sufficient knowledge of the phenomena which have been just explained1 to enable him to arrive at the conclusion that a very small proportion of the whole mechanical effect attending the evaporation was really rendered available by the atmospheric engine2 and that1 ,pg#abj therefore1 extensive and injurious sources of waste existed in its machinery4 ,he perceived that the principal source of this wasteful expenditure of power consisted in the quantity of steam which was condensed at each stroke of the piston1 in heating the cylinder previous to the ascent of the piston4 ,yet1 as it was evident that that ascent could not be accomplished in a cold cylinder1 it was apparent that this waste of power must be inevitable1 unless some expedient could be devised1 by which a vacuum could be maintained in the cylinder1 without cooling it4 ,but1 to produce such a vacuum1 the steam must be condensed2 and1 to condense the steam1 its temperature must be lowered to such a point that the vapour proceeding from it shall have no injurious pressure2 yet1 if condensed steam be contained in a cylinder at a high temperature1 it will return to the temperature of the cylinder1 recover its elasticity1 and resist the descent of the piston4 ,having reflected on these circumstances1 it became apparent to ,watt1 that a vice was inherent in the structure of the atmospheric engine1 which rendered a large waste of power inevitable2 this vice arising from the fact1 that the condensation of the steam was incompatible with the condition of maintaining the elevated temperature of the cylinder in which that condensation took place4 ,it followed1 therefore1 either that the steam must be imperfectly condensed1 or that the condensation could not take place in the cylinder4 ,it was in #agfe1 that1 pondering on these circumstances1 the happy idea occurred to him1 that the production of a vacuum could be equally effected1 though the place where the condensation of the steam took place were not the cylinder itself4 ,he saw1 that if a vessel in which a vacuum was produced were put into communication with another containing an elastic fluid1 the elastic fluid would rush into the vacuum1 and diffuse itself through the two vessels2 but if1 on rushing into such vacuum1 this elastic fluid1 being vapour1 were there condensed1 or restored to the liquid form1 that then the space within the two vessels would be equally rendered a vacuum2--that1 under such circumstances1 one of the vessels might be maintained at any temperature1 however high1 while ,pg#aba the other might be kept at any temperature1 however low4 ,this felicitous conception formed the first step in that splendid career of invention and discovery which has conferred immortality on the name of ,watt4 ,he used to say1 that the moment the idea of separate condensation occurred to him1--that is1 of condensing1 in one vessel kept cold1 the steam coming from another vessel kept hot1--all the details of his improved engine rushed into his mind in such rapid succession1 that1 in the course of a day1 his invention was so complete that he proceeded to submit it to experiment4 ,illustration3 ,fig4 #ai4 ,to explain the first conception of this memorable invention2 let a tube or pipe1 ,s 7fig4 #ai471 be imagined to proceed from the bottom of the cylinder ,a ,b to a vessel1 ,c1 having a stop-cock1 ,d1 by which the communication between the cylinder and the vessel ,c may be opened or closed at pleasure4 ,if we suppose the piston ,p at the top of the cylinder1 and the space below it filled with steam1 the cylinder and steam being at the usual temperature1 while the vessel ,c is a vacuum1 and maintained at a low temperature4 ,then1 on opening the cock ,d1 the steam will rush from the cylinder ,a ,b through the tube ,s1 and1 passing into the cold vessel ,c1 will be condensed by contact with its cold sides4 ,this process of condensation will be rendered instantaneous if a jet of cold water is allowed to play in the vessel ,c4 ,when the steam thus rushing into ,c1 has been destroyed1 and the space in the cylinder ,a ,b becomes a vacuum1 then the pressure of the atmosphere being unobstructed1 the piston will descend with the force due to the excess of the pressure of the atmosphere above the friction4 ,when it has descended1 suppose the stop-cock ,d closed1 and steam admitted from ,pg#abb the boiler through a proper cock or valve below the piston1 the cylinder and piston being still at the same temperature as before4 ,the steam on entering the cylinder1 not being exposed to contact with any surface below its own temperature1 will not be condensed1 and therefore will immediately cause the piston to rise1 and the piston will have attained the top of the cylinder when as much steam shall have been supplied by the boiler as will fill the cylinder4 ,when this has taken place1 suppose the communication with the boiler cut off1 and the cock ,d once more opened3 the steam will again rush through the pipe ,s into the vessel ,c1 where encountering the cold surface and the jet of cold water1 it will be condensed1 and the vacuum1 as before1 will be produced in the cylinder ,a ,b2 that cylinder still maintaining its temperature1 the piston will again descend1 and so the process may be continued4 7#fi47 ,having carried the invention to this point1 ,watt saw that the vessel ,c would gradually become heated by the steam which would be continually condensed in it4 ,to prevent this1 as well as to supply a constant jet of cold water1 he proposed to keep the vessel ,c submerged in a cistern of cold water1 from which a pipe should conduct a jet to play within the vessel1 so as to condense the steam as it would pass from the cylinder4 ,but here a difficulty presented itself1 against which it was necessary to provide4 ,the cold water admitted through the jet to condense the steam1 mixed with the condensed steam itself1 would gradually collect in the vessel ,c1 and at length choke it4 ,to prevent this1 ,watt proposed to put the vessel ,c in communication with a pump ,f1 which might be wrought by the engine itself1 and by which the water1 which would collect in the bottom of the vessel ,c1 would be constantly drawn off4 ,this pump would be evidently rendered the more necessary1 since more or less atmospheric air1 always combined with water in its common state1 would enter the vessel ,c by the condensing jet4 ,this air would be disengaged in the vessel ,c by the heat of the steam condensed therein2 and it would rise through the tube ,s1 and vitiate the vacuum in the cylinder2--an effect which would be rendered the more injurious1 ,pg#abc inasmuch as1 unlike steam1 this elastic fluid would be incapable of being condensed by cold4 ,the pump ,f1 therefore1 by which ,watt proposed to draw off the water from the vessel ,c1 might also be made to draw off the air1 or the principal part of it4 ,the vessel ,c was subsequently called a condenser2 and1 from the circumstances just adverted to1 the pump ,f has been called the air-pump4 ,these--namely1 the cylinder1 the condenser1 and the air-pump--were the three principal parts in the invention1 as it first presented itself to the mind of ,watt--and even before it was reduced to a model1 or submitted to experiment4 ,but1 in addition to these1 other two improvements offered themselves in the very first stage of its progress4 ,in the atmospheric engine1 the piston was maintained steam-tight in the cylinder by supplying a stream of cold water above it1 by which the small interstices between the piston and cylinder would be stopped4 ,it is evident that the effect of this water as the piston descended would be to cool the cylinder1 besides which any portion of it which might pass between the piston and cylinder and which would pass below the piston1 would boil the moment it would fall into the cylinder1 which itself would be maintained at the boiling temperature4 ,this water1 therefore1 would produce steam1 the pressure of which would resist the descent of the piston4 ,watt perceived1 that even though this inconvenience were removed by the use of oil or tallow upon the piston1 still1 that as the piston would descend in the cylinder1 the cold atmosphere would follow it2 and would1 to a certain extent1 lower the temperature of the cylinder4 ,on the next ascent of the piston1 this temperature would have to be again raised to #bab by the steam coming from the boiler1 and would entail upon the machine a proportionate waste of power4 ,if the atmosphere of the engine-house could be kept heated to the temperature of boiling water1 this inconvenience would be removed4 ,the piston would then be pressed down by air as hot as the steam to be subsequently introduced into it4 ,on further consideration1 however1 it occurred to ,watt that it would be still more advantageous if the cylinder itself could be ,pg#abd worked in an atmosphere of steam1 having only the same pressure as the atmosphere4 ,such steam would press the piston down as effectually as the air would2 and it would have the further advantage over air1 that if any portion of it leaked through between the piston and cylinder1 it would be condensed1 which could not be the case with atmospheric air4 ,he therefore determined on surrounding the cylinder by an external casing1 the space between which and the cylinder he proposed to be filled with steam supplied from the boiler4 ,the cylinder would thus be enclosed in an atmosphere of its own1 independent of the external air1 and the vessel so enclosing it would only require to be a little larger than the cylinder1 and to have a close cover at the top1 the centre of which might be perforated with a hole to admit the rod of the piston to pass through1 the rod being made smooth1 and so fitted to the perforation that no steam should escape between them4 ,this method would be attended also with the advantage of keeping the cylinder and piston always heated1 not only inside but outside2 and ,watt saw that it would be further advantageous to employ the pressure of steam to drive the piston in its descent instead of the atmosphere1 as its intensity or force would be much more manageable2 for1 by increasing or diminishing the heat of the steam in which the cylinder was enclosed1 its pressure might be regulated at pleasure1 and it might be made to urge the piston with any force that might be required4 ,the power of the engine would therefore be completely under control1 and independent of all variations in the pressure of the atmosphere4 7#gj47 ,this was a step which totally changed the character of the machine1 and which rendered it a ,,steam ,,engine instead of an ,,atmospheric ,,engine4 ,not only was the vacuum below the piston now produced by the property of steam1 in virtue of which it is reconverted into water by cold2 but the pressure which urged the piston into this vacuum was due to the elasticity of steam4 ,the external cylinder1 within which the working cylinder was enclosed1 was called ,,the ,,jacket1 and is still very generally used4 ,illustration3 ,fig4 #bj4 7#ga47 ,the first experiment in which ,watt attempted to ,pg#abe realise1 on a small scale1 his conceptions1 was made in the following manner4 ,the cylinder of the engine was represented by a brass syringe ,a ,b 7fig4 #bj47 an inch and a third in diameter1 and ten inches in length1 to which a top and a bottom of tin plate was fitted4 ,steam was conveyed by a pipe1 ,s1 from a small boiler into the lower end of this syringe1 a communication being made with the upper end of the syringe by a branch pipe ,d4 ,for the greater convenience of the experiment1 it was found desirable to invert the position of the cylinder1 so that the steam should press the piston ,p upwards instead of downwards4 ,the piston-rod ,r therefore was presented downwards4 ,an eduction pipe ,e was also inserted in the top of the cylinder1 which was carried to the condenser4 ,the piston-rod was made hollow1 or rather a hole was drilled longitudinally through it1 and a valve was fitted at its lower end1 to carry off the water produced by the steam1 which ,pg#abf would be condensed in the cylinder in the commencement of the process4 ,the condenser used in this experiment operated without injection1 the steam being condensed by the contact of cold surfaces4 ,it consisted of two thin pipes ,f1 ,g of tin1 ten or twelve inches in length1 and the sixth of an inch in diameter1 standing beside each other perpendicularly1 and communicating at the top with the eduction pipe1 which was provided with a valve opening upwards4 ,at the bottom these two pipes communicated with another tube ,i of about an inch in diameter1 by a horizontal pipe1 having in it a valve1 ,m1 opening towards ,i1 fitted with a piston ,k1 which served the office of the air-pump1 being worked by the hand4 ,this piston1 ,k1 had valves in it opening upwards4 ,these condensing pipes and air-pump were immersed in a small cistern1 filled with cold water4 ,the steam was conveyed by the steam-pipe ,s to the bottom of the cylinder1 a communication between the top and bottom of the cylinder being occasionally opened by a cock1 ,c1 placed in the branch pipe4 ,the eduction pipe leading to the condenser also had a cock1 ,l1 by which the communication between the top of the cylinder and the condenser might be opened and closed at pleasure4 ,in the commencement of the operation1 the cock ,n admitting steam from the boiler1 and the cock ,l opening a communication between the cylinder and the condenser1 and the cock ,c opening a communication between the top and bottom of the cylinder1 being all open1 steam rushed from the boiler1 passing through all the pipes1 and filling the cylinder4 ,a current of mixed air and steam was thus produced through the eduction pipe ,e1 through the condensing pipes ,f and ,g1 and through the air-pump ,i1 which issued from the valve ,h in the eduction pipe1 and from the valve in the air-pump piston1 all of which opened upwards4 ,the steam also in the cylinder passed through the hole drilled in the piston-rod1 and escaped1 mixed with air1 through the valve in the lower end of that rod4 ,this process was continued until all the air in the cylinder1 pipes1 and condenser1 was blown out1 and all these spaces filled with pure steam4 ,the cocks ,l1 ,c1 and ,n1 were then closed1 and the atmospheric pressure closed the valve ,h and the valves in the air-pump piston4 ,the cold surfaces condensing the steam in ,pg#abg the pipes ,f and ,g1 and in the lower part of the air-pump1 a vacuum was produced in these spaces4 ,the cock ,c being now closed1 and the cocks ,l and ,n being open1 the steam in the upper part of the cylinder rushed through the pipe ,e into the condenser1 where it was reduced to water1 so that a vacuum was left in the upper part of the cylinder4 ,the steam from the boiler passing below the piston1 pressed it upwards with such force1 that it lifted a weight of eighteen pounds hung from the end of the piston-rod4 ,when the piston reached the top of the cylinder1 the cocks ,l and ,n were closed1 and the cock ,c opened4 ,all communication between the cylinder and the boiler1 as well as between the cylinder and the condenser1 were now cut off1 and the steam in the cylinder circulated freely above and below the piston1 by means of the open tube ,d4 ,the piston1 being subject to equal forces upwards and downwards1 would therefore descend by its own weight1 and would reach the bottom of the cylinder4 ,the air-pump piston meanwhile being drawn up1 the air and the condensed steam in the tubes ,f and ,g were drawn into the air-pump ,i1 through the open horizontal tube at the bottom4 ,its return was stopped by the valve ,m4 ,by another stroke of the air-pump1 this water and air were drawn out through valves in the piston1 which opened upwards4 ,the cock ,c was now closed1 and the cocks ,l and ,n opened1 preparatory to another stroke of the piston4 ,the steam in the upper part of the cylinder rushed1 as before1 into the tubes ,f and ,g1 and was condensed by their cold surfaces1 while steam from the boiler coming through the pipe ,s1 pressed the piston upwards4 ,the piston again ascended with the same force as before1 and in the same manner the process was continually repeated4 7#gb47 ,the quantity of steam expended in this experimental model in the production of a given number of strokes of the piston was inferred from the quantity of water evaporated in the boiler2 and on comparing this with the magnitude of the cylinder and the weight raised by the pressure of the steam1 the contrivance was proved to affect the economy of steam1 as far as the imperfect conditions of such a model could have permitted4 ,a larger model was next constructed1 having an outer cylinder1 or steam case1 surrounding the working cylinder1 and ,pg#abh the experiments made with it fully realised ,watt's expectations1 and left no doubt of the great advantages which would attend his invention4 ,the weights raised by the piston proved that the vacuum in the cylinder produced by the condensation was almost perfect2 and he found that when he used water in the boiler which by long boiling had been well cleared of air1 the weight raised was not much less than the whole amount of the pressure of the steam upon the piston4 ,in this larger model1 the cylinder was placed in the usual position1 with a working lever and other apparatus similar to that employed in the ,atmospheric ,engine4 7#gc47 ,it was in the beginning of the year #agfe1 ,watt being then in the twenty-ninth year of his age1 that he arrived at these great discoveries4 ,the experimental models just described1 by which his invention was first reduced to a rude practical test1 were fitted up at a place called ,delft ,house1 in ,glasgow4 ,it will doubtless1 at the first view1 be a matter of surprise that improvements of such obvious importance in the economy of steam power1 and capable of being verified by tests so simple1 were not immediately adopted wherever atmospheric engines were used4 ,at the time1 however1 referred to1 ,watt was an obscure artisan1 in a provincial town1 not then arrived at the celebrity to which it has since attained1 and the facilities by which inventions and improvements became public were much less than they have since become4 ,it should also be considered that all great and sudden advances in the useful arts are necessarily opposed by the existing interests with which their effects are in conflict4 ,from these causes of opposition1 accompanied with the usual influence of prejudice and envy1 ,watt was not exempt1 and was not therefore likely suddenly to revolutionise the arts and manufactures of the country by displacing the moving powers employed in them1 and substituting an engine1 the efficacy and power of which depended mainly on physical principles1 then altogether new and but imperfectly understood4 ,not having the command of capital1 and finding it impracticable to inspire those who had1 with the same confidence in the advantages of his invention which he himself felt1 he was ,pg#abi unable to take any step towards the construction of engines on a large scale4 ,soon after this1 he gave up his shop in ,glasgow1 and devoted himself to the business of a ,civil ,engineer4 ,in this capacity he was engaged to make a survey of the river ,clyde1 and furnished an elaborate and valuable ,report upon its projected improvements4 ,he was also engaged in making a plan of the canal1 by which the produce of the ,monkland ,colliery was intended to be carried to ,glasgow1 and in superintending the execution of that work4 ,besides these1 several other engineering enterprises occupied his attention1 among which may be mentioned1 the navigable canal across the isthmus of ,crinan1 afterwards completed by ,rennie2 improvements proposed in the ports of ,ayr1 ,glasgow1 and ,greenock2 the construction of the bridges at ,hamilton1 and at ,rutherglen2 and the survey of the country through which the celebrated ,caledonian canal was intended to be carried4 ,if1 forgetful of my duties as the organ of this academy1 says ,m4 ,arago 7whose eloquent observations on the delays of this great invention1 addressed to the assembled members of the ,national ,institute of ,france1 we cannot forbear to quote71 ,i could think of making you smile1 rather than expressing useful truths1 ,i would find here matter for a ludicrous contrast4 ,i would call to your recollection the authors1 who at our weekly sittings demand with all their might and main 7 cor et cris7 an opportunity to communicate some little remark--some small reflection--some trifling note1 conceived and written the night before2 ,i would represent them to you cursing their fate1 when according to your rules1 the reading of their communication is postponed to the next meeting1 although during this cruel week1 they are assured that their important communication is deposited in our archives in a sealed packet4 ,on the other hand1 ,i would point out to you the creator of a machine1 destined to form an epoch in the annals of the world1 undergoing patiently and without murmur1 the stupid contempt of capitalists1--conscious of his exalted genius1 yet stooping for eight years to the common labour of laying down plans1 taking levels1 and all the tedious calculations connected with the routine of common engineering4 ,while in this conduct you cannot fail to recognise the serenity1 ,pg#acj the moderation1 and the true modesty of his character1 yet such indifference1 however noble may have been its causes1 has something in it not altogether blameless4 ,it is not without reason that society visits with severe reprobation those who withdraw gold from circulation and hoard it in their coffers4 ,is he less culpable who deprives his country1 his fellow citizens1 his age1 of treasures a thousand times more precious than the produce of the mine2 who keeps to himself his immortal inventions1 sources of the most noble and purest enjoyment of the mind1 who abstains from conferring upon labour those powers1 by which would be multiplied in an infinite proportion the products of industry1 and by which1 with advantage to civilisation and human nature1 he would smooth away the inequalities of the conditions of man4#ai 7#gd47 ,although ,watt was thus attracted by pursuits foreign to his recent investigations respecting the improvement of steam power1 he never lost sight of that object4 ,it was not until the year #agfh1 three years after his great discoveries1 that any step was taken to enable him to carry them into effect on a large scale4 ,at that time his friends brought him into communication with ,dr4 ,roebuck1 the proprietor of the ,carron ,iron ,works1 who rented extensive coal works at ,kinneal from the ,duchess of ,hamilton4 ,watt was first employed by ,roebuck as a civil engineer2 but when he made known to him the improvements he had projected in the steam engine1 ,roebuck proposed to take out a patent for an engine on the principle of the model which had been fitted up at ,delft ,house1 and to join ,watt in a partnership1 for the construction of such engines4 ,sensible of the advantages to be derived from the influence of ,roebuck1 and from his command of capital1 ,watt agreed to cede to him two thirds of the advantages to be derived from the invention4 ,a patent was accordingly taken out on the fifth of ,january1 #agfi1 nearly four years after the invention had been completed2 and an experimental engine on a large scale was constructed by him1 and fitted up at ,kinneal ,house4 ,in the first trial this machine more than fulfilled ,watt's anticipations4 ,its ,pg#aca success was complete4 ,in the practical details of its construction1 however1 some difficulties were still encountered1 the greatest of which consisted in packing the piston1 so as to be steam-tight4 ,the principle of the new engine did not admit of water being kept upon the piston1 to prevent leakage1 as in the old engines2 he was therefore obliged to have his cylinders much more accurately bored1 and more truly cylindrical1 and to try a great variety of soft substances for packing the piston1 which would make it steam-tight without great friction1 and maintain it so in a situation perfectly dry1 and at the temperature of boiling water4 ,while ,watt was endeavouring to overcome these and other difficulties1 in the construction of the machine1 his partner1 ,dr4 ,roebuck1 became embarrassed1 by the failure of his undertaking in the ,borrowstowness coal and salt works2 and he was unable to supply the means of prosecuting with the necessary vigour the projected manufacture of the new engines4 ,the important results of ,watt's labours having happily at this time become more publicly known1 ,mr4 ,matthew ,boulton1 whose establishment at ,soho1 near ,birmingham1 was at that time the most complete manufactory for metal-work in ,england1 and conducted with unexampled enterprise and spirit1 proposed to purchase ,dr4 ,roebuck's interest in the patent4 ,this arrangement was effected in the year #aggc1 and in the following year ,mr4 ,watt removed to ,soho1 where a portion of the establishment was allotted to him1 for the erection of a foundery1 and other works necessary to realise his inventions on a grand scale4 ,the patent which had been granted in #agfi was limited to a period of fourteen years1 and would consequently expire about the year #aghc4 ,from the small progress which had hitherto been made in the construction of engines upon the new principle1 and from the many difficulties still to be encountered1 and the large expenditure of capital which must obviously be incurred before any return could be obtained1 it was apparent that unless an extension of the patent right could be obtained1 ,boulton and ,watt could never expect any advantage adequate to the risk of their great ,pg#acb enterprise4 ,in the year #aggd an application was accordingly made to parliament for an extension of the patent1 which was supported by the testimony of ,dr4 ,roebuck1 ,mr4 ,boulton1 and others1 as to the merits and probable utility of the invention4 ,an ,act was accordingly passed1 in #agge1 extending the term of the patent until the year #ahjj4 7#ge47 ,the following abstract of this ,act may not be uninteresting at this time1 when the anticipations expressed in it have been so successfully and extensively realised3-- ,an ,act for vesting in ,james ,watt1 engineer1 his executors1 administrators1 and assigns1 the sole use and property of certain steam engines1 commonly called fire engines1 of his invention1 throughout his majesty's dominions1 for a limited time3 ,and whereas the said ,james ,watt hath employed many years1 and a considerable part of his fortune1 in making experiments upon steam engines1 commonly called fire engines1 with a view to improve those very useful machines1 by which several very considerable advantages over the common steam engines are acquired2 but upon account of the many difficulties which always arise in the execution of such large and complex machines1 and of the long time requisite to make the necessary trials1 he could not complete his intention before the end of the year #aggd1 when he finished some large engines as specimens of his construction1 which have succeeded1 so as to demonstrate the utility of the said invention3 ,and whereas1 in order to manufacture these engines with the necessary accuracy1 and so that they may be sold at moderate prices1 a considerable sum of money must be previously expended in erecting mills and other apparatus2 and as several years and repeated proofs will be required before any considerable part of the public can be fully convinced of the utility of the invention1 and of their interest to adopt the same1 the whole term granted by the said letters patent may probably elapse before the said ,james ,watt can receive an advantage adequate to his labour and invention3 ,and whereas1 by furnishing mechanical power at much less expense1 and in more convenient forms1 than has hitherto been done1 his engines may be of great utility1 in facilitating ,pg#acc the operations in many great works and manufactures of this kingdom2 yet it will not be in the power of the said ,james ,watt to carry his invention into that complete execution which he wishes1 and so as to render the same of the highest utility to the public of which it is capable1 unless the term granted by the said letters patent be prolonged1 and his property in the said invention secured for such time as may enable him to obtain an adequate recompense for his labour1 time1 and expense3 ,to the end1 therefore1 that the said ,james ,watt may be enabled and encouraged to prosecute and complete his said invention1 so that the public may reap all the advantages to be derived therefrom in their fullest extent3 it is enacted1 ,that from and after the passing of this ,act1 the sole privilege and advantage of making1 constructing1 and selling the said engines hereinbefore particularly described1 within the kingdom of ,great ,britain1 and his majesty's colonies and plantations abroad1 shall be1 and are hereby declared to be1 vested in the said ,james ,watt1 his executors1 administrators1 and assigns1 for and during the term of twenty-five years1 c4 c4 7#gf47 ,thus protected and supported1 ,watt now directed the whole vigour of his mind to perfect the practical details of his invention1 and the result was1 the construction on a large scale of the engine which has since been called his ,,single ,,acting ,,steam ,,engine4 ,it is necessary to recollect1 that notwithstanding the extensive and various application of steam power in the arts and manufactures1 at the time to which our narrative has now reached1 the steam engine had never been employed for any other purpose save that of raising water by working pumps4 ,the motion1 therefore1 which was required was merely an upward force1 such as was necessary to elevate the piston of a pump1 loaded with the column of water which it raised4 ,the following then is a description of the improved engine of ,watt1 by which such work was proposed to be performed3-- ,illustration3 ,fig4 #ba4 ,in the cylinder represented at ,c 7fig4 #ba471 the piston ,p moves steam-tight4 ,it is closed at the top1 and the piston ,pg#acd rod1 being accurately turned1 runs in a steam-tight collar1 ,b1 furnished with a stuffing-box1 and is constantly lubricated with melted tallow4 ,a funnel is screwed into the top of the cylinder1 through which1 by opening a stop-cock1 melted ,pg#ace tallow is permitted from time to time to fall upon the piston within the cylinder1 so as to lubricate it1 and keep it steam-tight4 ,two boxes1 ,a ,a1 called the upper and lower steam boxes1 contain valves by which steam from the boiler may be admitted and withdrawn4 ,these steam boxes are connected by a tube of communication ,t1 and they communicate with the cylinder at the top and bottom by short tubes represented in the figure4 ,the upper steam box ,a contains one valve1 by which a communication with the boiler may be opened or closed at pleasure4 ,the lower valve box contains two valves4 ,the lower valve ,i communicates with the tube ,t1 leading to the condenser ,d1 which being opened or closed1 a communication is made or cut off at pleasure1 between the cylinder ,c and the condenser ,d4 ,a second valve1 or upper valve ,h1 which is represented closed in the figure1 may be opened so as to make a free communication between the cylinder ,c and the tube ,t1 and by that means between the cylinder ,c1 below the piston and the space above the piston4 ,the condenser ,d is submerged in a cistern of cold water4 ,at the side there enters it a tube1 ,e1 governed by a cock1 which being opened or closed to any required extent1 a jet of cold water may be allowed to play in the condenser1 and may be regulated or stopped1 at pleasure4 ,this jet1 when playing1 throws the water upwards in the condenser towards the mouth of the tube ,t1 as water issues from the rose of a watering pot4 ,the tube ,s proceeds from the boiler1 and terminates in the steam box ,a1 so that the steam supplied from the boiler constantly fills that box4 ,the valve ,g is governed by levers1 whose pivots are attached to the framing of the engine1 and is opened or closed at pleasure1 by raising or lowering the lever ,g4 ,the valve ,g1 when open1 will therefore allow steam to pass from the boiler through the short tube to the top of the piston1 and this steam will also fill the tube ,t4 ,if the lower valve ,h be closed1 its circulation beyond that point will be stopped2 but if the valve ,h be open1 the valve ,i being closed1 then the steam will circulate equally in the cylinder1 above and below the piston4 ,if the valve ,i be open1 then steam will rush through the tube ,t into the condenser2 but this escape of the steam will be ,pg#acf stopped1 if the valve ,i be closed4 ,the valve ,h is worked by the lever ,h1 and the valve ,i by the lever ,i4 ,the valve ,g is called the upper steam valve1 ,h the lower steam valve1 ,i the exhausting valve1 and ,e the condensing valve4 ,from the bottom of the condenser ,d proceeds a tube leading to the air-pump1 which is also submerged in the cistern of cold water4 ,in this tube is a valve ,m1 which opens outwards from the condenser towards the air-pump4 ,in the piston of the air-pump ,n is a valve which opens upwards4 ,the piston-rod ,q of the air-pump is attached to a beam of wood called a plug frame1 which is connected with the working beam by a flexible chain playing on the small arch-head immediately over the air-pump4 ,from the top of the air-pump barrel above the piston proceeds a pipe or passage leading to a small cistern1 ,b1 called the hot well4 ,the pipe which leads to this well1 is supplied with a valve1 ,k1 which opens outwards from the air pump barrel towards the well4 ,from the nature of its construction1 the valve ,m admits the flow of water from the condenser towards the air-pump1 but prevents its return2 and1 in like manner1 the valve ,k admits the flow of water from the upper part of the air-pump barrel into the hot well ,b1 but obstructs its return4 ,let us now consider how these valves should be worked in order to move the piston upwards and downwards with the necessary force4 ,it is in the first place necessary that all the air which fills the cylinder1 the tubes and the condenser shall be expelled4 ,to accomplish this it is only necessary to open at once the three valves ,g1 ,h1 and ,i4 ,the steam then rushing from the boiler through the steam-pipe ,s1 and the open valve ,g will pass into the cylinder above the piston1 will fill the tube ,t1 pass through the lower steam valve ,h1 will fill the cylinder ,c below the piston1 and will pass through the open valve ,i into the condenser4 ,if the valve ,e be closed so that no jet shall play in the condenser1 the steam rushing into it will be partially condensed by the cold surfaces to which it will be exposed2 but if the boiler supply it through the pipe ,s in sufficient abundance1 it will rush with violence through the cylinder and all the passages1 and its pressure in the ,pg#acg condenser ,d1 combined with that of the heated air with which it is mixed1 will open the valve ,m1 and it will rush through mixed with the air into the air-pump barrel ,n4 ,it will press the valves in the air-pump piston upwards1 and1 opening them1 will rush through1 and will collect in the air-pump barrel above the piston4 ,it will then1 by its pressure1 open the valve ,k1 and will escape into the cistern ,b4 ,throughout this process the steam1 which mixed with the air fills the cylinder1 condenser and air-pumps will be only partially condensed in the last two1 and it will escape mixed with air through the valve ,k1 and this process will continue until all the atmospheric air which at first filled the cylinder1 tubes1 condenser and air-pump barrel shall be expelled through the valve ,k1 and these various spaces shall be filled with pure steam4 ,when that has happened let us suppose all the valves closed4 ,in closing the valve ,i the flow of steam to the condenser will be stopped1 and the steam contained in it will speedily be condensed by the cold surface of the condenser1 so that a vacuum will be produced in the condenser1 the condensed steam falling in the form of water to the bottom4 ,in like manner1 and for like reasons1 a vacuum will be produced in the air-pump4 ,the valve ,m1 and the valves in the air-pump piston will be closed by their own weight4 ,by this process1 which is called blowing through1 the atmospheric air1 and other permanent gases1 which filled the cylinder1 tubes1 condenser and air-pump are expelled1 and these spaces will be a vacuum4 ,the engine is then prepared to be started1 which is effected in the following manner3--,the upper steam valve ,g is opened1 and steam allowed to flow from the boiler through the passage leading to the top of the cylinder4 ,this steam cannot pass to the bottom of the cylinder1 since the lower steam valve ,h is closed4 ,the space in the cylinder below the piston being therefore a vacuum1 and the steam pressing above it the piston will be pressed downwards with a corresponding force4 ,when it has arrived at the bottom of the cylinder the steam valve ,g must be closed1 and at the same time the valve ,h opened4 ,the valve ,i leading to the condenser being also closed1 the steam ,pg#ach which fills the cylinder above the piston is now admitted to circulate through the open valve ,h below the piston1 so that the piston is pressed equally upwards and downwards by steam1 and there is no force to resist its movement save its friction with the cylinder4 ,the weight of the pump rods on the opposite end of the beam being more than equivalent to overcome this the piston is drawn to the top of the cylinder1 and pushes before it the steam which is drawn through the tube ,t1 and the open valve ,h1 and passes into the cylinder ,c below the piston4 ,illustration3 ,fig4 #bb4 ,when the piston has thus arrived once more at the top of the cylinder1 let the valve ,h be closed1 and at the same time the valves ,g and ,i opened1 and the condensing cock ,e also opened1 so as to admit the jet to play in the condenser4 ,the steam which fills the cylinder ,c below the piston1 will now rush through the open valve ,i into the condenser which has been hitherto a vacuum1 and there encountering the jet1 will be instantly converted into water1 and a mixture of condensed steam and injected water will collect in the bottom of the condenser4 ,at the same time1 the steam proceeding from the boiler by the steam pipe ,s to the upper steam box ,a1 will pass through the open steam valve ,g to the top of the piston1 but cannot pass below it because of the lower steam valve ,h being closed4 ,the piston1 thus acted upon above by the pressure of the steam1 and the space in the cylinder below it being a vacuum1 its downward motion is resisted by no force but the friction1 and it is therefore driven to the bottom of the cylinder4 ,during its descent the valves ,g1 ,i1 and ,e remained open4 ,at the moment it arrives at the bottom of the cylinder1 all these three valves are closed1 and the valve ,h opened4 ,the steam which fills the cylinder above the piston is now permitted to circulate below it1 by the open valve ,h1 and the piston being consequently pressed equally upwards and downwards will be drawn upwards as before by the preponderance of the pump rods at the opposite end of the beam4 ,the weight of these rods must also be sufficiently great to draw the air-pump piston ,n upwards4 ,as this piston rises in the air-pump1 it leaves a vacuum below it into which the water and air collected in the condenser will be drawn through the valve ,m1 which opens outwards4 ,when the ,pg#aci air-pump piston has arrived at the top of the barrel1 which it will do at the same time that the steam piston arrives at the top of the cylinder1 the water and the chief part of the air or other fluids which may have been in the condenser will be drawn into the barrel of the air-pump1 and the valve ,m being closed by its own weight1 assisted by the pressure of these fluids they cannot return into the condenser4 ,at the moment the steam piston arrives at the top of the cylinder1 the valve ,h is closed1 and the three valves ,g1 ,i1 and ,e are opened4 ,the effect of this change is the same as was already described in the former case1 and the piston will in the same manner and from the same causes be driven downwards4 ,the air-pump piston will at the same time descend by the force of its own weight1 aided by the weight of the plug-frame attached to its rod4 ,as it descends1 the air below it will be gradually compressed above the surface of the water in the bottom of the barrel1 until its pressure becomes sufficiently great to open the valves in the air-pump piston4 ,when this happens1 the valves in the air-pump piston1 as represented on a large scale in fig4 #bb41 will be opened1 and the air will pass through them above the piston4 ,when the piston comes in contact with the water in the bottom of the barrel1 this water will likewise pass through the open valves4 ,when the piston has arrived at the bottom of the air-pump barrel1 the valves in it will be closed by the pressure of the fluids above them4 ,the next ascent of the steam piston will draw up the air-pump piston1 and with it the fluids in the pump barrel above it4 ,as the air-pump ,pg#adj piston approaches the top of its barrel1 the air and water above it will be drawn through the valve ,k into the hot cistern ,b4 ,the air will escape in bubbles through the water in that cistern1 and the warm water will be deposited in it4 ,the magnitude of the opening in the condensing valve ,e1 must be regulated by the quantity of steam admitted to the cylinder4 ,as much water ought to be supplied through the injection valve as will be sufficient to condense the steam contained in the cylinder1 and also to reduce the temperature of the water itself1 when mixed with the steam1 to a sufficiently low degree to prevent it from producing vapour of a pressure which would injuriously affect the working of the piston4 ,it has been shown1 that five and a half cubic inches of ice-cold water mixed with one cubic inch of water in the state of steam would produce six and a half cubic inches of water at the boiling temperature4 ,if then the cylinder contained one cubic inch of water in the state of steam1 and only five and a half cubic inches of water were admitted through the condensing jet1 supposing this water1 when admitted1 to be at the temperature of #cb1 then the consequence would be that six and a half cubic inches of water at the boiling temperature would be produced in the condenser4 ,steam would immediately arise from this1 and at the same time the temperature of the remaining water would be lowered by the amount of the latent heat taken up by the steam so produced4 ,this vapour would rise through the open exhausting valve ,i1 would fill the cylinder below the piston1 and would impair the efficiency of the steam above pressing it down4 ,the result of the inquiries of ,watt respecting the pressure of steam at different temperatures1 showed1 that to give efficiency to the steam acting upon the piston it would always be necessary to reduce the temperature of the water in the condenser to #ajj4 ,let us then see what quantity of water at the common temperature would be necessary to produce these effects4 ,if the latent heat of steam be taken at #ajjj1 a cubic inch of water in the state of steam may be considered for the purposes of this computation1 as equivalent to one cubic inch of water at #abab4 ,now the question is1 how many cubic inches of water at #fj must be mixed with this1 in order that the ,pg#ada mixture may have the temperature of #ajj8 ,this will be easily computed4 ,as the cubic inch of water at #abab is to be reduced to #ajj1 it must be deprived of #aaab of its temperature4 ,on the other hand1 as many inches of water at #fj as are to be added1 must be raised in the same mixture to the temperature of #ajj1 and therefore each of these must receive #dj of temperature4 ,the number of cubic inches of water necessary to be added will therefore be determined by finding how often #dj are contained in #aaab4 ,if #aaab be divided by #dj1 the quotient will be #bgh4 ,hence it appears1 that to reduce the water in the condenser to the temperature of #ajj1 supposing the temperature of the water injected to be #fj1 it will be necessary to supply by the injection cock very nearly twenty-eight times as much water as passes through the cylinder in the state of steam2 and therefore if it be supposed that all the water evaporated in the boiler passes through the cylinder1 it follows that about twenty-eight times as much water must be thrown into the condenser as is evaporated in the boiler4 ,from these circumstances it will be evident that the cold cistern in which the condenser and air-pump are submerged1 must be supplied with a considerable quantity of water4 ,independently of the quantity drawn from it by the injection valve1 as just explained1 the water in the cistern itself must be kept down to a temperature of about #fj4 ,the interior of the condenser and air-pump being maintained by the steam condensed in them at a temperature not less than #ajj2 the outer surfaces of these vessels consequently impart heat to the water in the cold cistern1 and have therefore a tendency to raise the temperature of that water4 ,to prevent this1 a pump called the cold pump1 represented at ,l in fig4 #ba41 is provided4 ,by this pump water is raised from any convenient reservoir1 and driven through proper tubes into the cold cistern4 ,this cold pump is wrought by the engine1 the rod being attached to the beam4 ,water being1 bulk for bulk1 heavier the lower its temperature1 it follows that the water supplied by the cold pump to the cistern will have a tendency to sink to the bottom1 pressing upwards the warmer water contained in it4 ,a waste-pipe is provided1 by which this ,pg#adb water is drained off1 and the cistern therefore maintained at the necessary temperature4 ,from what has been stated1 it is also evident that the hot well ,b1 into which the warm water is thrown by the air-pump1 will receive considerably more water than is necessary to feed the boiler4 ,a waste-pipe1 to carry off this1 is also provided2 and the quantity necessary to feed the boiler is pumped up by a small pump1 ,o1 the rod of which is attached to the beam1 as represented in fig4 #ba41 and which is worked by the engine4 ,the water raised by this pump is conducted to a reservoir from which the boiler is fed1 by means which will be hereafter explained4 ,we shall now explain the manner in which the machine is made to open and close the valves at the proper times4 ,by referring to the explanation already given1 it will be perceived that at the moment the piston reaches the top of the cylinder1 the upper steam valve ,g must be open1 to admit the steam to press it down2 while the exhausting valve ,i must be opened1 to allow the steam to pass to the condenser2 and the condensing valve ,e must be opened1 to let in the water necessary for the condensation of the steam2 and at the same time the lower steam valve ,h must be closed1 to prevent the passage of the steam which has been admitted through ,g4 ,the valves ,g1 ,i1 and ,e must be kept open1 and the valve ,h kept closed1 until the piston arrives at the bottom of the cylinder1 when it will be necessary to close all the three valves1 ,g1 ,i1 and ,e1 and to open the valve ,h1 and the same effects must be produced each time the piston arrives at the top and bottom of the cylinder4 ,all this is accomplished by a system of levers1 which are exhibited in fig4 #ba4 ,the pivots on which these levers play are represented on the framing of the engine1 and the arms of the levers ,g1 ,h1 and ,i1 communicating with the corresponding valves ,g1 ,h1 and ,i1 are represented opposite a bar attached to the rod of the air-pump1 called the plug frame4 ,this bar carries certain pegs and detents1 which act upon the arms of the several levers in such a manner that1 on the arrival of the beam at the extremities of its play upwards and downwards1 the levers are so struck that the valves are opened and closed at the proper ,pg#adc times4 ,it is needless to explain all the details of this arrangement4 ,let it be sufficient1 as an example of all1 to explain the method of working the upper steam valve ,g4 ,when the piston reaches the top of the cylinder1 a pin strikes the arm of the lever ,g1 and throws it upwards3 this1 by means of the system of levers1 pulls the arm of the valve ,g downwards1 by which the upper steam valve is raised out of its seat1 and a passage is opened from the steam pipe to the cylinder4 ,the valve is maintained in this state until the piston reaches the bottom of the cylinder1 when the arm ,g is pressed downwards1 by which the arm ,g is pressed upwards1 and the valve restored to its seat4 ,by similar methods the levers governing the other three valves1 ,h1 ,i1 and ,e1 are worked4 ,illustration3 ,fig4 #bc4 ,illustration3 ,fig4 #bd4 ,the valves used in these engines were of the kind called spindle valves4 ,they consisted of a flat circular plate of bell metal1 ,a ,b1 fig4 #bc41 with a round spindle passing perpendicularly through its centre1 and projecting above and below it4 ,this valve1 having a conical form1 was fitted very exactly1 by grinding into a corresponding circular conical seat1 ,a ,b ,c ,d1 fig4 #bd41 which forms the passage which it is the office of the valve to open and close4 ,when the valve falls into its seat1 it fits the aperture like a plug1 so as entirely to stop it4 ,the spindle plays in sockets or holes1 one above and the other below the aperture which the valve stops2 these holes keep the valve in its proper position1 so as to cause it to drop exactly into its place4 ,in the experimental engine made by ,mr4 ,watt at ,kinneal1 he used cocks1 and sometimes sliding covers1 like the regulator described in the old engines2 but these he found very soon to become leaky4 ,he was1 therefore1 obliged to change them for the spindle valves just described1 which1 being truly ,pg#add ground1 and accurately fitted in the first instance1 were not so liable to go out of order4 ,these valves are also called puppet clacks1 or button valves4 ,in the earlier engines constructed by ,watt1 the condensation was produced by the contact of cold surfaces1 without injection4 ,the reason of rejecting the method of condensing by injection was1 doubtless1 to avoid the injurious effects of the air1 which would always enter the condenser1 in combination with the water of condensation1 and vitiate the vacuum4 ,it was soon found1 however1 that a condenser acting by cold surfaces without injection1 being necessarily composed of narrow pipes or passages1 was liable to incrustation from bad water1 by which the conducting power of the material of the condenser was diminished2 so that1 while its outer surface was kept cold by the water of the cold cistern1 the inner surface might1 nevertheless1 be so warm that a very imperfect condensation would be produced4 ,illustration3 ,,soho1 ,,birmingham4 ,,footnotes3 #ai ,eloge1 p4 #cjh4 ,pg#ade ,illustration3 ,,birmingham4 ,,chap4 ,,vi4 ,,correspondence ,,of ,,watt ,,with ,,smeaton4 -- ,,failure ,,of ,,condensation ,,by ,,surface4 -- ,,improvements ,,in ,,construction ,,of ,,piston4 -- ,,method ,,of ,,packing4 -- ,,improvements ,,in ,,boring ,,the ,,cylinders4 -- ,,disadvantages ,,of ,,the ,,new ,,compared ,,with ,,the ,,old ,,engines4 -- ,,greatly ,,increased ,,economy ,,of ,,fuel4 -- ,,expedients ,,to ,,force ,,the ,,new ,,engines ,,into ,,use4 -- ,,correspondence ,,with ,,smeaton4 -- ,,efficiency ,,of ,,fuel ,,in ,,the ,,new ,,engines4 -- ,,discovery ,,of ,,the ,,expansive ,,action ,,of ,,steam4 -- ,,watt ,,states ,,it ,,in ,a ,,letter ,,to ,,dr4 ,,small4 -- ,,its ,,principle ,,explained4 -- ,,mechanical ,,effect ,,resulting ,,from ,,it4 -- ,,computed ,,effect ,,of ,,cutting ,,off ,,steam ,,at ,,different ,,portions ,,of ,,the ,,stroke4 -- ,,produces ,a ,,variable ,,power4 -- ,,expedients ,,for ,,equalising ,,the ,,power4 -- ,,limitation ,,of ,,the ,,expansive ,,principle ,,in ,,watt',s ,,engines4 -- ,,its ,,more ,,extensive ,,application ,,in ,,the ,,cornish ,,engines4 7#gg47 ,in a letter addressed by ,watt to ,smeaton1 dated ,april1 #agff1 ,watt refers to some of these practical difficulties which he had to encounter4 ,i have been1 says he1 tormented with exceedingly bad health1 resulting from the operation of an anxious mind1 the natural consequence of staking everything ,pg#adf upon the cast of a die2 for in that light ,i look upon every project which has not received the sanction of repeated success4 ,i have made considerable alterations in our engine lately1 particularly in the condenser4 ,that which ,i used at first was liable to be impaired1 from incrustations from bad water2 therefore we have substituted one which works by an injection4 ,in pursuing this idea ,i have tried several kinds1 and have at last come to one1 which ,i am not inclined to alter4 ,it consists of a jack-head pump1 shut at bottom1 with a common clack bucket1 and a valve in the cover of the pump1 to discharge the air and water4 ,the eduction steam pipe1 which comes from the cylinder1 communicates with this pump both above and below the bucket1 and has valves to prevent anything from going back from the pump to the eduction pipe4 ,the bucket descends by its own weight1 and is raised by the engine when the great piston descends1 being hung to the outer end of the great lever3 the injection is made both into the upper part of this pump and into the eduction pipe1 and operates beyond my ideas in point of quickness and perfection4 ,besides the difficulty arising from incrustation1 ,watt found the tubulated condensers1 and indeed all other expedients for condensing by cold surfaces1 subject to a fatal objection4 ,they did not condense instantaneously1 and although they were capable of ultimately effecting the condensation1 yet that process was not completed until a great part of the stroke of the piston was made4 ,thus during more or less of the stroke the uncondensed steam resisted the piston1 and robbed the moving power of a part of its effect4 ,this objection has ever attended condensation by surface4 ,illustration3 ,fig4 #be4 ,illustration3 ,fig4 #bf4 7#gh47 ,another source of difficulty arose from the necessity of constructing the piston and cylinder with greater precision than had been usual in the old engines4 ,to fit the cover to the cylinder so as to be steam-tight2 to construct the piston rod so as to move through it without allowing the escape of steam1 and yet at the same time without injurious friction2 to connect the piston rod with the piston1 so as to drive the ,pg#adg latter through the cylinder with a perfectly straight and parallel motion2 to make such connection perfectly centrical and firm1 and yet to allow the piston in its ascent to come nearly into contact with the cover of the cylinder--were all difficulties peculiar to the new engine4 ,in the atmospheric engine the shank of the piston rod was rough and square1 and the rod was secured to the piston by two or four branches or stays1 as represented in fig4 #be4 ,it is evident that such a construction would be inadmissible in an engine in which the piston in its ascent must be brought nearly into contact with the close cover of the cylinder4 ,besides this the piston rod of an atmospheric engine might throughout its whole length have any form which was most convenient1 and required no other property than the strength necessary to work the beam4 ,in the new engine1 on the contrary1 it was necessary that it should be accurately turned and finely polished1 so as to pass through the hole in the top of the cylinder1 and be maintained in it steam-tight4 ,this was effected by a contrivance called a stuffing-box ,b1 represented in fig4 #bf4 ,a hole is made in the cover of the cylinder very little greater in magnitude than the diameter of the piston rod4 ,above this hole is a cup in which1 around the piston1 is placed a stuffing of hemp or tow1 which is saturated with oil or melted tallow4 ,this collar of hemp is pressed down by another piece1 also perforated with a hole through which the piston rod plays1 and which is screwed down on the said collar of hemp4 7#gi47 ,although the imperfect manner in which the interior of the cylinders was then formed impaired the efficiency of the ,pg#adh new engines1 yet such imperfections were not so injurious as in the old atmospheric engines4 ,any imperfection of form of the inner surface of the cylinder would necessarily cause more or less steam or air to escape between the piston and cylinder4 ,in the improved engine this steam passing into the vacuum below the piston would rush into the condenser1 and be there condensed1 so that its effect in resisting the motion of the piston would necessarily be trifling4 ,but on the other hand1 any escape of air between the piston and cylinder of an atmospheric engine would introduce an elastic fluid under the piston1 which would injuriously affect the action of the machine4 ,illustration3 ,fig4 #bg4 ,to make the pistons move sufficiently steam-tight in these early imperfect cylinders1 ,watt contrived a packing formed of a collar of hemp1 or tow1 as represented in fig4 #bg4 ,the bottom of the piston was formed of a circular plate of a diameter nearly1 but not altogether equal to the interior diameter of the cylinder4 ,the part of the piston above this was considerably less in diameter1 so that the piston was surrounded by a circular groove or channel two inches wide1 into which hemp or soft rope1 called gasket1 was run1 so as to form the packing4 ,the top of the piston was placed over this1 having a rim or projecting part1 which entered the circular groove and pressed upon the packing1 the cover being pressed downwards by screws passing through the piston4 ,the lower part of the groove round the piston was rounded with a curve1 so that the pressure on the packing might force the latter against the inner surface of the cylinder4 ,this packing was kept supplied with melted tallow1 as already described1 from the funnel1 screwed into the top of the cylinder4 ,the metallic edges of the piston were by this means prevented from coming into contact with the surface of the cylinder1 which was only pressed upon by the stuffing or packing projecting beyond these4 7#hj47 ,improved methods of boring soon1 however1 relieved ,pg#adi the engine from a part of these imperfections1 and ,watt writes to ,mr4 ,smeaton in the letter above quoted as follows3-- ,mr4 ,wilkinson has improved the art of boring cylinders2 so that ,i promise1 upon a #gb inch cylinder1 being not further distant from absolute truth than the thickness of a thin sixpence in the worst part4 ,i am labouring to improve the regulators2 my scheme is to make them acute conical valves1 shut by a weight1 and opened by the force of the steam4 ,they bid fair for success1 and will be tried in a few days4 ,the person here alluded to was ,mr4 ,john ,wilkinson1 of ,bersham near ,chester1 who1 about the year #agge1 contrived a new machine for accurately boring the insides of cylinders4 ,the cylinder being first obtained from the foundery with a surface as accurate as the process of casting would admit1 had its inner surface reduced to still greater accuracy by this machine1 which consists of a straight central bar extended along the axis of the cylinder1 which was made to revolve slowly round it4 ,during the operation of boring1 the borer or cutter was fitted to slide along this bar1 which being perfectly straight1 served as a sort of ruler to guide the borer or cutter in its progress through the cylinder4 ,in this manner the interior surface of the cylinder was rendered not only true and straight in its longitudinal direction1 but also perfectly circular in its cross section4 ,the grease found to be most eligible for lubrication was the tallow of beef or mutton2 but in the earlier cylinders this was soon consumed by reason of the imperfection of the boring1 and the piston being left dry ceased to be steam-tight4 ,to prevent this1 ,watt sought for some substance1 which while it would thicken the tallow1 and detain it around the piston1 would not be subject to decomposition by heat4 ,black lead dust was used for this purpose1 but was soon found to wear the cylinder4 ,in the mean while1 however1 the improved method of boring supplied cylinders which rendered this expedient unnecessary4 ,when the inner surface of the cylinder is perfectly true and smooth1 the packing of the piston is soon rendered solid and hard1 being moulded to the cylinder by working1 so as to fit it perfectly4 ,when by wear it became loose1 it was ,pg#aej only necessary to tighten the screws by which the top and bottom of the piston were held together4 ,the packing being compressed by those means1 was forced outwards towards the surface of the cylinder1 so as to be rendered steam-tight4 7#ha47 ,it was not until about the year #aggh1 nine years after the date of the patent1 and thirteen after the invention of separate condensation1 that any impression was produced on the mining interests by the advantages which were presented to them by these vast improvements4 ,this long interval1 however1 had not elapsed without considerable advantage2 for although all the great leading principles of the contrivance were invented so early as the year #agfe1 yet the details of construction had been in a state of progressive and continued improvement from the time ,watt joined ,dr4 ,roebuck1 in #agfi1 to the period now adverted to4 ,the advantages which the engine offered in the form in which it has been just described1 were numerous and important1 as compared even with the most improved form of the atmospheric engine2 and it should be remembered1 that that machine had also gone on progressively improving1 and was probably indebted for some of its ameliorations to hints derived from the labours of ,watt1 and to the adoption of such of his expedients as were applicable to this imperfect machine1 and could be adopted without an infraction of his patent4 ,in the most improved forms to which the atmospheric engine had then attained1 the quantity of steam wasted at each stroke of the piston was equal to the contents of the cylinder4 ,such engines1 therefore1 consumed twice the fuel which would be requisite1 if all sources of waste could have been removed4 ,in ,watt's engines1 the steam consumed at each stroke of the piston amounted only to #a-a_/d times the contents of the cylinder4 ,the waste steam1 therefore1 per stroke1 was only a quarter of what was usefully employed4 ,the absolute waste1 therefore1 of the best atmospheric engines was four times that of the improved engine1 and consequently the saving of fuel in the improved engines amounted to about three eighths of all the fuel consumed in atmospheric engines of the same power4 ,pg#aea 7#hb47 ,but independently of this saving of steam1 which would otherwise be wasted1 the power of ,watt's engine1 as compared with the atmospheric engine1 was so much augmented that the former would work against a resistance of ten pounds on the square inch under the same circumstances in which the latter would not move against more than seven pounds4 ,the cause of this augmentation of power is easily explained4 ,in the atmospheric engine the temperature of the condensed steam could not be reduced below #aeb without incurring a greater loss than would be compensated by the advantage to be obtained from any higher degree of condensation4 ,now steam raised from water at #aeb has a pressure of nearly four pounds per square inch4 ,this pressure1 therefore1 acted below the piston resisting the atmospheric pressure above4 ,in ,watt's engine1 however1 the condenser was kept at a temperature of about #ajj1 at which temperature steam has a pressure of less than one pound per square inch4 ,a resisting force upon the piston of three pounds per square inch was therefore saved in ,watt's engine as compared with the atmospheric engine4 7#hc47 ,besides these direct sources of economy1 there were other advantages incidental to ,watt's engine4 ,an atmospheric engine possessed very limited power of adaptation to a varying load4 ,the moving power being the atmospheric pressure1 was not under control1 and1 on the other hand1 was subject to variations from day to day and from hour to hour1 according to the changes of the barometer4 ,in the first construction of such an engine1 therefore1 its power being necessarily adapted to the greatest load which it would have to move1 whenever the load upon its pumps was diminished1 the motion of the piston in descending would be rapidly accelerated in consequence of the moving power exceeding the resistance4 ,by this the machinery would be subject to sudden shocks1 which were productive of rapid wear1 and exposed the machinery to the danger of fracture4 ,to remedy this inconvenience1 the following expedient was provided in the atmospheric engine3 whenever the load on the engine was materially diminished1 the quantity of water admitted through the injection valve to condense the steam was proportionally ,pg#aeb diminished4 ,an imperfect condensation being therefore produced1 vapour remained in the cylinder under the piston1 the pressure of which resisted the atmosphere1 and mitigated the force of the machine4 ,besides this1 a cock was provided in the bottom of the cylinder1 called an air cock1 by which atmospheric air could be admitted to resist the piston whenever the motion was too rapid4 ,these expedients1 however1 were all attended with a waste of fuel in relation to the work done by the engine2 for it is evident that the consumption of steam was necessarily the same1 whether the engine was working against its full load or against a reduced resistance4 ,on the other hand1 in the improved engine of ,watt1 when the load1 to work against which the engine exerted its full power1 was diminished1 a cock or valve was provided in the steam pipe leading from the boiler1 which was called a throttle valve1 by adjusting which the passage in that pipe could be more or less contracted4 ,by regulating this cock the supply of steam from the boiler was checked1 and the quantity transmitted to the cylinder diminished1 so that its effect upon the piston might be rendered equal to the amount of the diminished resistance4 ,by this means the quantity of steam transmitted to the cylinder was rendered exactly proportional to the work which the engine had to perform4 ,if1 under such circumstances1 the boiler was worked to its full power1 so as to produce steam as fast as it would when the engine was working at full power1 then no saving of fuel would be effected1 since the surplus steam produced in the boiler would necessarily escape at the safety valve4 ,but in such case the fireman was directed to limit the fuel of the furnace until the discharge at the safety valve ceased4 ,by these expedients1 the actual consumption of fuel in one of these improved engines was always in the exact proportion of the work which it performed1 whether it worked at full power or at any degree under its regular power4 7#hd47 ,notwithstanding these and other advantages attending the new engines1 ,boulton and ,watt experienced difficulties all but insurmountable in getting them into use4 ,no manufactory existed in the country possessing machinery capable of ,pg#aec executing with the necessary precision the valves and other parts which required exact execution1 and the patentees were compelled to construct machinery at ,soho for this purpose2 and even after they succeeded in getting the cylinders properly bored1 the piston rods exactly turned and polished1 the spindle valves constructed so as to be steam-tight1 and every other arrangement completed which was necessary for the efficiency of the machine1 the novelty of the engine1 and the difficulty which was supposed to attend its maintenance in good working order1 formed strong objections to its adoption4 ,to remove such objections1 great sacrifices were necessary on the part of ,boulton and ,watt2 and they accordingly resolved to undertake the construction of the new engines without any profit1 giving them to the parties requiring their use at first cost1 on the condition of being remunerated by a small share of what they would save in fuel4 ,we have no objection1 writes ,mr4 ,boulton1 to contract with the ,carron ,company to direct the making of an engine to return the water for their mills4 99 99 99 99 ,we do not aim at profits in engine building1 but shall take our profits out of the saving of fuel2 so that if we save nothing1 we shall take nothing4 ,our terms are as follows3 we will make all the necessary plans1 sections1 and elevations for the building1 and for the engine with its appurtenances1 specifying all cast and forged iron work1 and every other particular relative to the engine4 ,we will give all necessary directions to your workmen1 which they must implicitly obey4 ,we will execute1 for a stipulated price1 the valves1 and all other parts which mayrequire exact execution1 at ,soho2 we will see that all the parts are put together1 and set to work1 properly2 we will keep our own work in repair for one year1 and we have no other objection to seven years than the inconvenience of the distance4 ,we will guarantee that the engine so constructed shall raise at least #bj1jjj cubic feet of water twenty-four feet high with each hundred weight of coals burnt4 ,when all this is done1 a fair and candid comparison shall be made between it1 and your own engine1 or any other engine in ,scotland1 from which comparison the amount of savings in fuel shall be estimated1 and that amount being ,pg#aed divided into three parts1 we shall be entitled to one of those parts1 in recompense for our patent licence1 our drawings1 c4 c4 ,our own share of savings shall be estimated in money1 according to the value of your coals delivered under the boiler1 and you shall annually pay us that sum1 during twenty-five years from the day you begin to work2 provided you continue the use of the engine so long4 ,and in case you sell the engine1 or remove it to any other place1 you must previously give us notice1 for we shall then be entitled to our third of the savings of fuel1 according to the value of coals at such new place4 ,this is a necessary condition1 otherwise the engine which we make for you at an expense of two thousand pounds may be sold in ,cornwall for ten thousand pounds4 ,such parts of the engine as we execute at ,soho we will be paid for at a fair price2 ,i conclude1 from all the observations ,i have had an opportunity of making1 that our engines are four times better than the common engines4 ,in boilers1 which are a very expensive article1 the savings will be in proportion to the savings of coal4 ,if you compare our engine with the common engine 7not in size1 but in power71 you will find the original expense of erecting one to be nearly the same4 ,mr4 ,wilkinson has bored us several cylinders1 almost without error2 that of fifty inches diameter1 which we put up at ,tipton1 does not err the thickness of an old shilling in any part2 so that you must either improve your method of boring1 or we must furnish the cylinder to you4 ,the reluctance of mining companies to relinquish the old engines1 even on these terms1 led them to propose to ,mr4 ,watt to grant them a licence for the use of his condenser1 to be applied to the atmospheric engine1 without the introduction of other improvements4 ,such a proposition was made to him by ,mr4 ,smeaton1 in the year #aggh1 to which he returned the following answer3-- ,i have several times considered the propriety of the application of my condensers to common engines1 and have made experiments with that view upon our engine at ,soho1 but have never found such results as would induce me to try ,pg#aee it any where else2 and1 in consequence1 we refused to make that application to ,wheal ,virgin engines in ,cornwall1 and to some others2 our reasons were1 that though it might have enabled them to have gone deeper with their present engines1 yet1 the savings of fuel would not have been great1 in comparison to the complete machine4 ,by adding condensers to engines that were not in good order1 our engine would have been introduced into that country 7which we look upon as our richest mine7 in an unfavourable point of view1 and without such profits as would have been satisfactory either to us or to the adventurers2 and if we had granted the use of condensers to one1 we must have done so to all1 and thereby have curtailed our profits1 and perhaps injured our reputation4 ,besides1 where a new engine is to be erected1 and to be equally well executed in point of workmanship and materials1 an engine of the same power cannot be constructed materially cheaper on the old plan than on ours2 for our boiler and cylinder are much smaller1 and the building1 the lever1 the chains1 together with all the pump and pit work1 are only the same4 99 99 99 99 ,we charge our profits in proportion to the saving made in fuel by our engine1 when compared with a common one which burns the same kind of coals2 we ask one third of these savings to be paid us annually1 or half yearly2 the payment being redeemable in the option of our employer1 at ten years' purchase2 and when the coals are low priced1 we should also make some charge as engineers4 ,in all these comparisons our own interest has made us except your 7,mr4 ,smeaton7 improved engines1 unless we were allowed a greater proportion of the savings4 ,their exertions to improve the manufacture of engines at ,soho is shown by the following letter from ,mr4 ,boulton1 in the same correspondence to ,mr4 ,smeaton3-- ,we are systematising the business of engine making1 as we have done before in the button manufactory2 we are training up workmen1 and making tools and machines to form the different parts of ,mr4 ,watt's engines with more accuracy1 and at a cheaper rate than can possibly be done by the ordinary methods of working4 ,our workshop and apparatus will be of ,pg#aef sufficient extent to execute all the engines which are likely to be soon wanted in this country2 and it will not be worth the expense for any other engineers to erect similar works1 for that would be like building a mill to grind a bushel of corn4 ,i can assure you from experience1 that our small engine at ,soho is capable of raising #ejj1jjj cubic feet of water #a foot high with every #aab lbs4 of coals1 and we are in hopes of doing much more4 ,mr4 ,watt's engine has a very great advantage in mines1 which are continually working deeper3 suppose1 for instance1 that a mine is #ej fathoms deep1 you may have an engine which will be equal to draining the water when the mine is worked1 to #ajj fathoms deep1 and yet you can constantly adapt the engine to its load1 whether it be #ej or #ajj fathoms1 or any intermediate depth2 and the consumption of coals will be less in proportion when working at the lesser than at the greater depths2 supposing it works1 as our engines generally do1 at #aa lbs4 per square inch1 when the mine becomes #ajj fathoms deep4 7#he47 ,the great improvement which has been introduced within the last half century1 in the details of ,watt's steam engine1 will be rendered manifest by comparing the effects of a given weight of fuel here supplied by ,mr4 ,boulton with the effects which the same weight of fuel is now known to produce in the best pumping engines worked in ,cornwall4 ,one of these engines1 in good working order1 has been known to raise #abe1jjj1jjj lbs4 #a foot high1 by the combustion of a bushel of coals4 ,but the average performance of even the best engines is below this amount4 ,if we take it at #ij1jjj1jjj1 this will be equivalent to the weight of about #a-a_/b million cubic feet of water1 a bushel of coals being #c_/d cwt4 ,it will therefore follow that1 with the present engines1 one hundred weight of coals is capable of raising about two million cubic feet of water one foot high1 being a duty four times that assigned to the early engines by ,mr4 ,boulton4 7#hf47 ,at the time that ,watt1 in conjunction with ,dr4 ,roebuck1 obtained the patent for his improved engine1 the idea occurred to him1 that the steam which had impelled the piston in its descent rushed from the cylinder with a mechanical force much more than sufficient to overcome any resistance ,pg#aeg which it had to encounter in its passage to the condenser2 and that such force might be rendered available as a moving power1 in addition to that already obtained from the steam during the stroke of the piston4 ,this notion involved the whole principle of the expansive action of steam1 which subsequently proved to be of such importance in the performance of steam engines4 ,watt was1 however1 so much engrossed at that time1 and subsequently1 by the difficulties he had to encounter in the construction of his engines1 that he did not attempt to bring this principle into operation4 ,it was not until after he had organised that part of the establishment at ,soho which was appropriated to the manufacture of steam engines1 that he proceeded to apply the expansive principle4 ,since the date of the patent which he took out for this 7#aghb71 was subsequent to the application of the same principle by another engineer1 named ,hornblower1 it is right to state1 that the claim of ,mr4 ,watt to this important step in the improvement of the steam engine1 is established by a letter addressed by him to ,dr4 ,small1 of ,birmingham1 dated ,glasgow1 ,may1 #agfi3-- ,i mentioned to you a method of still doubling the effect of the steam1 and that tolerably easy1 by using the power of steam rushing into a vacuum1 at present lost4 ,this would do little more than double the effect1 but it would too much enlarge the vessels to use it all3 it is peculiarly applicable to wheel engines1 and may supply the want of a condenser1 where the force of steam only is used2 for open one of the steam valves1 and admit steam until one fourth of the distance between it and the next valve is filled with steam1 then shut the valve1 and the steam will continue to expand1 and to press round the wheel1 with a diminishing power1 ending in one fourth of its first exertion4 ,the sum of the series you will find greater than one half1 though only one fourth of steam was used4 ,the power will indeed be unequal1 but this can be remedied by a fly1 or by several other means4 ,in #aggf the engine1 which had been then recently erected at ,soho1 was adapted to act upon the principle of expansion4 ,when the piston had been pressed down in the cylinder for a certain portion of the stroke1 the further supply of steam ,pg#aeh from the boiler was cut off1 by closing the upper steam valve1 and the remainder of the stroke was accomplished by the expansive power of the steam which had already been introduced into the cylinder4 7#hg47 ,to make this method of applying the force of steam intelligible1 some previous explanation of mechanical principles will be necessary4 ,if a body which offers a certain resistance be urged by a certain moving force1 the motion which it will receive will depend on the relation between the energy of the moving force and the amount of the resistance opposed to it4 ,if the moving force be precisely equal to the resistance1 the motion which the body will receive will be perfectly uniform4 ,if the energy of the moving force be greater than the resistance1 then its surplus or excess above the amount of resistance will be expended in imparting momentum to the mass of the body moved1 and the latter will1 consequently1 continually acquire augmented speed4 ,the motion of the body will1 therefore1 be in this case accelerated4 ,if the energy of the moving force be less in amount than the resistance1 then all that portion of the resistance which exceeds the amount of the moving force will be expended in depriving the mass of the body of momentum1 and the body will therefore be moved with continually diminished speed until it be brought to rest4 7#hh47 ,whenever1 therefore1 a uniform motion is produced in a body1 it may be taken as an indication of the equality of the moving force to the resistance2 and1 on the other hand1 according as the speed of the body is augmented or diminished1 it may be inferred that the energy of the moving force has been greater or less than the resistance4 ,it is an error to suppose that rest is the only condition possible for a body to assume when under the operation of two or more mechanical forces which are in equilibrium4 ,by the laws of motion the state of a body which is not under the operation of any external force must be either in a state of rest or of uniform motion4 ,whichever be its state1 it will suffer no change if the body be brought under the operation of two or more forces which are in equilibrium2 for to suppose ,pg#aei such forces to produce any change in the state of the body1 whether from rest to motion1 or vice vers1 or in the velocity of the motion which the body may have previously had1 would be equivalent to a supposition that the forces applied to the body being in equilibrium were capable of producing a dynamical effect1 which would be a contradiction in terms4 ,this1 though not always clearly understood by mere practical men1 or by persons superficially informed1 is1 in fact1 among the fundamental principles of mechanical science4 7#hi47 ,when the piston is at the top of the cylinder1 and about to commence its motion downwards1 the steam acting upon it will have not only to overcome the resistance arising from the friction of the various parts of the engine1 but will also have to put in motion the whole mass of matter of the piston pump rods1 pump pistons1 and the column of water in the pump barrels4 ,besides imparting to this mass the momentum corresponding to the velocity with which it will be moved1 it will also have to encounter the resistance due to the preponderance of the weight of the water and pump rods over that of the steam piston4 ,the pressure of steam1 therefore1 upon the piston at the commencement of the stroke must1 in accordance with the mechanical principles just explained1 have a greater force than is equal to all the resistances which it would have to overcome1 supposing the mass to be moving at a uniform velocity4 ,the moving force1 therefore1 being greater than the resistance1 the mass1 when put in motion1 will necessarily move with a gradually augmented speed1 and the piston of the engine which has been described in the last chapter would necessarily move from the top to the bottom of the cylinder with an accelerated motion1 having at the moment of its arrival at the bottom a greater velocity than at any other part of the stroke4 ,as the piston and all the matter which it has put in motion must at this point come to rest1 the momentum of the moving mass must necessarily expend itself on some part of the machinery1 and would be so much mechanical force lost4 ,it is evident1 therefore1 independently of any consideration of the expansive principle1 to which we shall presently refer1 that the action of the ,pg#afj moving power in the descent of the piston ought to be suspended before the arrival of the piston at the bottom of the cylinder1 in order to allow the momentum of the mass which is in motion to expend itself1 and to allow the piston to come gradually to rest at the termination of the stroke4 ,thus1 if we were to suppose that after the piston had descended through three fourths of the whole length of the cylinder1 and had acquired a certain velocity1 the steam above it were suddenly condensed1 so as to leave a vacuum both above and below it1 the piston1 being then subject to no impelling force1 would still move downwards1 in virtue of the momentum it had acquired1 until the resistance would deprive it of that momentum1 and bring it to rest2 and if the remaining fourth part of the cylinder were necessary for the accomplishment of this1 then it is evident that that part of the stroke would be accomplished without further expenditure of the moving power4 ,in fact1 this part of the stroke would be made by the expenditure of that excess of moving power1 which1 at the commencement of the stroke1 had been employed in putting the machinery and its load in motion1 and in subsequently accelerating that motion4 ,although under such circumstances the resistance1 during the operation of the moving power1 shall not have been at any time equal to the moving power1 since while the motion was accelerated it was less1 and while retarded greater than that power1 yet as the whole moving power has been expended upon the resistance1 the mechanical effect which the moving power has produced under such circumstances will be equal to the actual amount of that power4 ,if in an engine of this kind the steam was not cut off till the conclusion of the stroke1 a part of the moving power would be lost upon those fixed points in the machinery which would sustain the shock produced by the instantaneous cessation of motion at the end of the stroke4 ,independently1 therefore1 of any consideration of the expansive principle1 it appears that1 in an engine of this kind1 the steam ought to be cut off before the completion of the stroke4 ,pg#afa ,illustration3 ,fig4 #bh4 7#ij47 ,to render the expansive action of steam intelligible1 let ,a ,b 7fig4 #bh47 represent a cylinder whose area we will suppose1 for the sake of illustration1 to be a square foot1 and whose length1 ,a ,b1 shall also be a foot4 ,if steam of a pressure equal to the atmosphere be supplied to this cylinder1 it will exert a pressure of about one ton on the piston2 and if such steam be uniformly supplied from the boiler1 the piston will be moved from ,a to ,b with the force of one ton1 and that motion will be uniform if the piston be opposed throughout the same space by a resistance equal to a ton4 ,when the piston has arrived at ,b1 let us suppose that the further supply of steam from the boiler is stopped by closing the upper steam valve1 and let us also suppose the cylinder to be continued downwards so that ,b ,c shall be equal to ,a ,b1 and suppose that ,b ,c has been previously in communication with the condenser1 and is therefore a vacuum4 ,the piston at ,b will then be urged with a force of one ton downwards1 and as it descends the steam above it will be diffused through an increased volume1 and will consequently acquire a diminished pressure4 ,we shall1 for the present1 assume that this diminution of pressure follows the law of elastic fluids in general2 that it will be decreased in the same proportion as the volume of the steam is augmented4 ,while the piston1 therefore1 moves from ,b downwards it will be urged by a continually decreasing force4 ,let us suppose1 that by some expedient1 it is also subject to a continually decreasing resistance1 and that this resistance decreases in the same proportion as the force which urges the piston4 ,in that case the motion of the piston would continue uniform4 ,when the piston would arrive at ,p1 the middle of the second cylinder1 then the space occupied by the steam being increased in the proportion of #b to #c1 the pressure on the piston would be diminished in the proportion of #c to #b1 and the pressure at ,b being one ton1 it would be two-thirds of a ton at ,p4 ,in like manner when the piston would arrive at ,c1 the space occupied by the steam being double that which ,pg#afb it occupied when the piston was at ,b1 the pressure of the steam would be half its pressure at ,b1 and therefore at the termination of the stroke1 the pressure on the piston would be half a ton4 ,if the space from ,b to ,c1 through which the steam is here supposed to act expansively1 be divided into ten equal parts1 the pressure on the piston at the moment of passing each of those divisions would be calculated upon the same principle as in the cases now mentioned4 ,after moving through the first division1 the volume of the steam would be increased in the proportion of #aj to #aa1 and therefore its pressure would be diminished in the proportion of #aa to #aj4 ,the pressure1 therefore1 driving the piston at the end of the first of these ten divisions would be #aj_/aaths of a ton4 ,in like manner1 its pressure at the second of the divisions would be #aj_/abths of a ton1 and the third #aj_/acths of a ton2 and so on1 as indicated in the figure4 ,now if the pressure of the steam through each of these divisions were to continue uniform1 and1 instead of gradually diminishing1 to suffer a sudden change in passing from one division to another1 then the mechanical effect produced from ,b to ,c would be obtained by taking a mean or average of the several pressures throughout each of the ten divisions4 ,in the present case it has been supposed that the force on the piston at ,b was #bbdj pounds4 ,to obtain the pressure in pounds corresponding to each of the successive divisions1 it will therefore only be necessary to multiply #bbdj by #aj1 and to divide it successively by #aa1 #ab1 #ac1 c4 ,the pressures1 therefore1 in pounds1 at each of the ten divisions1 will be as follows3-- #ast #bjcfc #b;d #ahfff #c;d #agbca #dth #afjjj #eth #adicc #fth #adjjj #gth #acagf #hth #abddd #ith #aagij #ajth #aabjj ,if the mean of these be taken by adding them together ,pg#afc and dividing by #aj1 it will be found to be #adih pounds4 ,it appears1 therefore1 that the pressures through each of the ten divisions being supposed to be uniform 7which however1 strictly1 they are not17 the mechanical effect of the steam from ,b to ,c would be the same as if it acted uniformly throughout that space upon the piston with a force of about #aejj pounds1 being rather less than three-fourths of its whole effect from ,a to ,b4 ,but it is evident that this principle will be equally applicable if the second cylinder had any other proportion to the first4 ,thus it might be twice the length of the first2 and in that case1 a further mechanical effect would be obtained from the expansion of the steam4 ,the more accurate method of calculating the effect of the expansion from ,b to ,c1 would involve more advanced mathematical principles than could properly be introduced here2 but the result of such a computation would be that the actual average effect of the steam from ,b to ,c would be equal to a uniform pressure through that space1 amounting to one thousand five hundred and forty-five pounds1 being greater than the result of the above computation1 the difference being due to the expansive action through each of the ten divisions1 which was omitted in the above computation4 7#ia47 ,it is evident that the expansive principle1 as here explained1 involves the condition of a variation in the intensity of the moving power4 ,thus1 if the steam act with a uniform energy on the piston so long as its supply from the boiler continues1 the moment that supply is stopped1 by closing the steam valve1 the steam contained in the cylinder will fill a gradually increasing volume by the motion of the piston1 and therefore will act above the piston with a gradually decreasing energy4 ,if the resistance to the moving power produced by the load1 friction1 c4 be not subject to a variation corresponding precisely to such variation in the moving power1 then the consequence must be that the motion imparted to the load will cease to be uniform4 ,if the energy of the moving power at any part of the stroke be greater than the resistance1 the motion produced will be accelerated2 if it be less1 the motion will be retarded2 and if it be at one time greater1 and another ,pg#afd time less1 as will probably happen1 then the motion will be alternately accelerated and retarded4 ,this variation in the speed of the body moved will not1 however1 affect the mechanical effect produced by the power1 provided that the momentum imparted to the moving mass be allowed to expend itself at the end of the stroke1 so that the piston may be brought to rest as nearly as possible by the resistance of the load1 and not by any shock on any fixed points in the machine4 ,this is an object which1 consequently1 should be aimed at with a view to the economy of power1 independently of other considerations connected with the wear and tear of the machinery4 ,so long as the engine is only applied to the operation of pumping water1 great regularity of motion is not essential1 and1 therefore1 the variation of speed which appears to be an almost inevitable consequence of any extensive application of the expansive principle1 is of little importance4 ,in the patent which ,watt took out for the application of the expansive principle1 he specified several methods of producing a uniform effect upon a uniform resistance1 notwithstanding the variation of the energy of the power which necessarily attended the expansion of the steam4 ,this he proposed to accomplish by various mechanical means1 some of which had been previously applied to the equalisation of a varying power4 ,one consisted in causing the piston to act on a lever1 which should have an arm of variable length1 the length increasing in the same proportion as the energy of the moving power diminished4 ,this was an expedient which had been already applied in mechanics for the purpose of equalising a varying power4 ,a well-known example of it is presented in the main-spring and fuzee of a watch4 ,according as the watch goes down1 the main-spring becomes relaxed1 and its force is diminished2 but1 at the same time1 the chain by which it drives the fuzee acts upon a wheel or circle1 having a diameter increased in the same proportion as the energy of the spring is diminished4 ,another expedient consisted in causing the moving power1 when acting with greatest energy1 to lift a weight which should be allowed to descend again1 assisting the piston when the energy of the moving force was diminished4 ,pg#afe ,another method consisted in causing the moving force1 when acting with greatest energy1 to impart momentum to a mass of inert matter1 which should be made to restore the same force when the moving power was more enfeebled4 ,we shall not more than allude here to these contrivances proposed by ,watt1 since their application has never been found advantageous in cases where the expansive principle is used4 7#ib47 ,the application of the expansive principle in the engines constructed by ,boulton and ,watt1 was always very limited1 by reason of their confining themselves to the use of steam having a pressure not much exceeding that of the atmosphere4 ,if the principle of expansion1 as above explained1 be attentively considered1 it will be evident that the extent of its application will mainly depend on the density and pressure of the steam admitted from the boiler4 ,if the density and pressure be not considerable when the steam is cut off1 the extent of its subsequent expansion will be proportionally limited4 ,it was in consequence of this1 that this principle from which considerable economy of power has been derived1 was applied with much less advantage by ,mr4 ,watt than it has since been by others1 who have adopted the use of steam of much higher pressure4 ,in the engines of ,boulton and ,watt1 where the expansive principle was applied1 the steam was cut off after the piston had performed from one half to two thirds of the stroke1 according to the circumstances under which the engine was worked4 ,the decreasing pressure produced by expansion was1 in this case1 especially with the larger class of engines1 little more than would be necessary to allow the momentum of the mass moved to spend itself1 before the arrival of the piston at the end of the stroke4 ,subsequently1 however1 boilers producing steam of much higher pressure were applied1 and the steam was cut off when the piston had performed a much smaller part of the whole stroke4 ,the great theatre of these experiments and improvements has been the mining districts in ,cornwall1 where1 instead of working with steam of a pressure not much exceeding that of the atmosphere1 it has been found advantageous to use steam whose pressure is at least four times as great as ,pg#aff that of the atmosphere2 and instead of limiting its expansion to the last half or fourth of the stroke1 it is cut off after the piston has performed one fourth part of the stroke or less1 all the remainder of the stroke being accomplished by the expansive power of the steam1 and by momentum4 ,illustration3 ,,bridge ,,over ,,the ,,clyde ,,at ,,hamilton1 ,,designed ,,by ,,watt4 ,pg#afg ,illustration3 ,,double-,,acting ,,engine1 ,,zinc ,,works1 ,,city ,,road1 ,,london4 ,,chap4 ,,vii4 ,,properties ,,of ,,steam4 -- ,,common ,,steam4 -- ,,superheated ,,steam4 -- ,,law ,,of ,,dalton ,,and ,,gay ,,lussac4 -- ,,law ,,of ,,mariotte4 -- ,,relation ,,between ,,temperature ,,and ,,pressure ,,of ,,common ,,steam4 -- ,,effects ,,of ,,the ,,expansion ,,of ,,common ,,steam4 -- ,,mechanical ,,effects ,,of ,,steam4 -- ,,method ,,of ,,equalising ,,the ,,expansive ,,force4 -- ,,hornblower',s ,,engine4 -- ,,woolf',s ,,engine4 -- ,,watt',s ,,attempts ,,to ,,extend ,,the ,,steam ,,engine ,,to ,,manufactures4 -- ,,papin',s ,,projected ,,applications ,,of ,,the ,,steam ,,engine4 -- ,,savery',s ,,applications ,,of ,,the ,,engine ,,to ,,move ,,machinery4 -- ,,jonathan ,,hull',s ,,application ,,to ,,water ,,wheels4 -- ,,stewart',s ,,application ,,of ,,the ,,engine ,,to ,,mill ,,work4 -- ,,washborough',s ,,application ,,of ,,the ,,fly ,,wheel ,,and ,,crank4 -- ,,watt',s ,,second ,,patent4 -- ,,double-,,action ,,valves4 7#ic47 ,since the application of the expansive action of steam involves the consideration of its properties when it ceases to be in contact with the water from which it was produced1 and likewise the variation of its pressure in different states of ,pg#afh density and at different temperatures1 it is necessary here to explain some of the most important of these properties of vapour4 ,steam may exist in two states1 distinguished from each other by the following circumstances3-- #ast4 ,it may be such that the abstraction from it of any portion of heat1 however small1 will cause its partial condensation4 #b;d4 ,it may be such as to admit of the abstraction of heat from it without undergoing any other change than that which air would undergo under like circumstances1 viz4 a diminution of temperature and pressure4 7#id47 ,we shall call1 for distinction1 the former ,common ,steam1 and the latter ,superheated ,steam4 ,illustration3 ,fig4 #bi4 ,to explain the circumstances out of which these properties arise1 let ,b 7fig4 #bi47 be imagined to be a vessel filled with water1 communicating by a pipe and stopcock with another vessel ,a1 which in the commencement of the process may be conceived to be filled with air4 ,let ,d be a pipe and stopcock at the top of this vessel4 ,if the vessel ,b be heated1 and the two cocks be opened1 the steam proceeding from the water in ,b will blow the air out of the vessel ,a through the open stopcock ,d1 in the same manner as air is blown from a steam engine4 ,when the vessel ,a by these means has been filled with pure steam1 let both stopcocks be closed4 ,if the steam in ,a1 under these circumstances1 have a pressure of #ae lbs4 per square inch1 its temperature will be found to be #bac4 ,now1 if any heat be abstracted from this steam1 its temperature will fall1 and a portion of it will be reconverted into water4 ,again1 suppose the vessel ,a to be filled with pure steam which has been produced from the heated water in ,b1 the stopcock ,c being open4 ,let the stopcock ,c be then closed1 and the water in ,b be heated to a higher temperature1 the temperature and pressure of the steam in ,a being observed4 ,if the stopcock ,c be now opened1 the steam in ,a will be immediately observed to rise to the more elevated temperature which has been imparted to the water in ,b1 and at the same time it will acquire an increased pressure4 ,pg#afi ,the increase of temperature which it has received would of itself produce an increased pressure2 but that this is not the sole cause of the augmented pressure in the present case might be proved by weighing the vessel ,a4 ,it would be found to have increased weight1 which could only arise from its having received from the water in ,b an additional quantity of vapour4 ,the increased pressure therefore1 which the steam in ,a has acquired1 is due conjointly to its increased density and its increased temperature4 ,in general1 if the water in the vessel ,b be raised or lowered in temperature1 the steam in the vessel ,a will rise and fall in temperature in a corresponding manner1 always having the same temperature as the water in ,b4 ,if the weight of the vessel ,a were observed1 it would be found to increase with every increase of temperature1 and to diminish with every diminution of temperature1 proving that the augmented temperature of the water in ,b produces an augmented density of the steam in ,a4 ,the same pressure would be found always to correspond to the same temperature and density1 so that if the numerical amount of any one of the three quantities1 the temperature1 the pressure1 or the density1 were known1 the other two must necessarily be determined1 the same temperature always corresponding to the same pressure1 and vice vers4 ,and in like manner1 steam produced under these circumstances of the same density cannot have different pressures4 ,it must be observed that the steam here produced receives all the heat which it possesses from the water from which it is raised4 ,now it is easily demonstrable1 that this is the least quantity of heat which is compatible with the steam maintaining the vaporous form2 for if the stopcock ,c be closed so as to separate the steam in ,a from the water in ,b1 and that any portion of heat1 however small1 be then abstracted from the steam in ,a1 some portion of the steam will be reconverted into water4 ,this then1 according to the definition already given1 is ,common ,steam4 7#ie47 ,let us now suppose that the vessel ,a1 being in communication with the vessel ,b by the open stopcock1 has been filled with pure steam of any given temperature4 ,the steam which it thus contains will be common steam1 and1 as has been ,pg#agj shown 7#id471 it cannot lose any portion of heat1 however small1 without being partially condensed2 but let the stopcock ,c be closed1 and let the steam in ,a be then exposed to any source of heat by which its temperature may be raised any required number of degrees4 ,from the steam thus obtained heat may be abstracted without producing any condensation2 and such abstraction of heat may be continued without producing condensation1 until the steam is cooled down to that temperature at which it was raised from the water in ,b1 when the stopcock ,c was opened4 ,any further reduction of temperature would be attended with condensation4 ,if after increasing the temperature of the steam in ,a1 the stopcock ,c being shut so as to render it superheated steam1 its pressure be observed1 the pressure will be found to be increased1 but not to that amount which it would have been increased had the steam in ,a been raised to the same temperature by heating the water in ,b to that temperature1 and keeping the stopcock open4 ,in fact1 its present augmented pressure will be due only to its increased temperature1 since its density remains unchanged4 ,but if in these circumstances the stopcock ,c be suddenly opened1 the pressure of the steam in ,a will as suddenly rise to that pressure which in common steam corresponds to its temperature2 and if the vessel ,a were weighed1 it would be found to have increased in weight1 proving that the steam contained in it has received increased density by an increased quantity of vapour proceeding from the water in ,a4 ,in fact1 by opening the stopcock the steam which was before superheated steam1 has become common steam4 ,it has the greatest density which steam of that temperature can have2 and consequently1 if any heat be abstracted from it1 a partial condensation will ensue4 ,to render these general principles more intelligible1 let us suppose that the water in ,b is raised to the temperature of #bac1 the stopcock ,c being open2 the vessel ,a will then be filled with steam of the same temperature1 and having a pressure of #ae lbs4 per square inch4 ,this will be common steam4 ,if the stopcock be now closed1 and the whole apparatus be exposed to the temperature of #bdc2 the steam in ,a will preserve the same density1 but its pressure will be ,pg#aga increased from #ae lbs4 to a little more than #af lbs4 per square inch4 ,let the stopcock ,c be then opened and while the temperature of the steam in ,a shall continue to be #bdc1 the pressure will suddenly rise from #af lbs4 to about #bf lbs4 per square inch4 ,the weight of the steam in ,a will be at the same time increased in the same proportion of #af to #bf as its pressure4 ,the steam thus produced in ,a will then be common steam1 and any abstraction of heat from it would be attended with partial condensation4 7#if47 ,the law1 according to which the pressure of elastic fluids in general1 whether gases or vapours1 increases with their temperature1 was simultaneously discovered by ,dalton and ,gay ,lussac4 ,if the pressure which the gas or vapour would have at the temperature of melting ice1 were expressed by #aj1jjj1 then the increase of pressure which it would receive for every degree of temperature by which it would be raised1 its volume being supposed to be preserved1 would be expressed by #bjh-a_/c4 ,thus1 if the pressure of gas1 or vapour1 on a surface of a certain magnitude at the temperature of #cb were #aj1jjj ounces1 then the same gas or vapour would acquire an additional pressure of #bjh-a_/c ounces for every degree of temperature which would be imparted to it above #cb4 ,this law is common to all gases and vapours4 ,it may be objected that water cannot exist in the state of vapour under the usual pressures at so low a temperature as melting ice4 ,this1 however1 does not hinder the application of the above law1 for that law will equally hold good by computing the pressure which the vapour would have if it were a permanent gas1 and if it could therefore exist in the elastic form at that low temperature4 7#ig47 ,another law1 common to all elastic fluids1 and of equal importance with the former1 was discovered by ,mariotte4 ,by this law it appears that every gas or vapour1 so long as its temperature is unchanged1 will have a pressure directly proportional to its density4 ,if therefore1 while we compress steam into half its volume1 we could preserve its temperature unaltered1 we should increase its pressure in a two-fold proportion2 but if the process of compression should cause its temperature to increase1 ,pg#agb then its increase of pressure will be greater than its increase of density1 since it will be due conjointly to the increase of density and to the increase of temperature4 ,in this case the increased pressure may be deduced from the combined application of the two laws just explained2 that of ,mariotte will determine that increase of pressure which is due to the increase of density1 and that of ,dalton and ,gay ,lussac will determine the further increase of pressure which will be due to the increase of temperature4 ,the full investigation of these effects1 and the formul expressing them1 will be found in the ,appendix to this volume4 7#ih47 ,the fixed relations which exist between the temperatures of common steam and its pressure and density1 have never been discovered from any general physical principles4 ,the pressures and the densities however1 which correspond to a great variety of temperatures throughout the thermometric scale1 have been ascertained by extensive series of experiments instituted by philosophers of this and other countries4 ,from a comparison of the temperatures and pressures thus found by experiment1 empirical formul have been constructed1 which exhibit1 with an approximation sufficiently close for practice1 this relation2 and these formul may accordingly be used for the computation of tables exhibiting the pressures1 temperatures1 and densities of common steam2 and such tables will have sufficient numerical accuracy for all practical purposes4 ,these formul1 and the tables resulting from them1 will be found in the ,appendix to this volume4 7#ii47 ,it has been explained1 that to effect the conversion of water into steam1 it is only necessary to impart to it as much heat as1 added to the temperature which it has1 would1 if it continued in the liquid form1 raise it to the temperature of #abab4 ,this condition is necessary1 and sufficient to effect the transition of water into vapour4 ,if1 for example1 as much heat were imparted to the water evaporated1 as would maintain it in the liquid state to #acjj1 then the steam so produced would be superheated steam1 having #hj of heat more than is necessary to maintain it in the vaporous form4 ,from such steam1 therefore1 #hj of heat may be abstracted without producing any condensation4 ,pg#agc 7#ajj47 ,common steam being raised from water at any pressure and temperature1 and being afterwards separated from the water1 if the same steam be compressed into a small volume1 or allowed to expand into a greater volume1 it will still maintain its quality of common steam1 and will have the same pressure and temperature1 whatever volume it may assume1 as it would have if immediately raised from water at that pressure4 ,thus if steam be raised from water under a pressure of #cj lbs4 per square inch1 and1 being separated from the water1 be allowed to dilate1 until its pressure is reduced to #ae lbs4 per square inch1 its temperature will then be reduced to #bac1 which is that temperature which it would have if immediately raised from water under a pressure of #ae lbs4 per square inch2 and if any heat be abstracted from such steam1 whether under its original pressure1 or under the diminished pressure of #ae lbs4 per square inch1 a condensation will be produced1 the amount of which will be the same1 if the same quantity of heat be abstracted from the steam4 ,these are consequences which immediately flow from the fact1 that the sum of the latent and sensible heats of steam is always the same4#bj ,it appears1 therefore1 that supposing the steam used in an engine to receive no additional heat after it leaves the boiler1 however it may be changed in its density by subsequent expansion1 it will still retain its character of common steam1 and cannot lose any portion of heat1 however small1 without suffering partial condensation4 ,the mechanical force also exerted by such steam1 after expansion1 must be computed in the same manner as if it were raised immediately4 7#aja47 ,if the law of ,mariotte were strictly applicable to steam1 its mechanical effect would be the same as has been already explained in all states of density2 but since its temperature will rise and fall as its density is increased or diminished1 a corresponding change will be produced in its ,pg#agd mechanical efficacy4 ,it is therefore necessary in the calculation of the mechanical effect of steam1 whether it be used at a uniform pressure without the principle of expansion1 or with the application of that principle to any given extent1 to take into account the combined operation of the laws of ,mariotte and ,dalton4 ,formul exhibiting the relation between the temperatures1 pressures1 volumes1 and densities of steam1 and the mechanical effect produced by the evaporation of water1 whether acting with or without expansion1 together with the tables necessary for the practical application of these1 will be found in the ,appendix4 7#ajb47 ,one of the methods of equalising the varying force of expanding steam1 would be to work it at the same time in two cylinders connected with the same beam2 so that while its force in one would be augmented1 its force in the other would be diminished1 the combination of the two producing a uniform effect4 ,soon after the expansive principle was promulged by ,mr4 ,watt1 this expedient was accordingly resorted to by an engineer named ,hornblower4 ,illustration3 ,fig4 #cj4 ,in the year #agha1 ,hornblower conceived the notion of working an engine with two cylinders of different sizes1 by allowing the steam to flow freely from the boiler until it fills the smaller cylinder1 and then permitting it to expand into the greater one1 employing it thus to press down two pistons in the following manner4 ,let ,c1 fig4 #cj41 be the centre of the great working-beam1 carrying two arch heads1 on which the chains of the piston rods play4 ,the distances of these arch heads from the centre ,c must be in the same proportion as the length of the cylinders1 in order that the same play of the beam may correspond to ,pg#age the plays of both pistons4 ,let ,f be the steam-pipe from the boiler1 and ,g a valve to admit the steam above the lesser piston4 ,h is a tube by which a communication may be opened by the valve ,i1 between the top and bottom of the lesser cylinder ,b4 ,k is a tube communicating by the valve ,l1 between the bottom of the lesser cylinder ,b and the top of the greater cylinder ,a4 ,m is a tube communicating1 by the valve ,n1 between the top and bottom of the greater cylinder ,a2 and ,p a tube leading to the condenser by the exhausting valve ,o4 ,at the commencement of the operation1 suppose all the valves opened1 and steam allowed to flow through the engine until the air be completely expelled1 and then let all the valves be closed4 ,to start the engine1 let the exhausting valve ,o and the steam valves ,g and ,l be opened1 as in fig4 #cj4 ,the steam will flow freely from the boiler1 and press upon the lesser piston1 and at the same time the steam below the greater piston will flow into the condenser1 leaving a vacuum in the greater cylinder4 ,the valve ,l being opened1 the steam which is under the piston in the lesser cylinder will flow through ,k1 and press on the greater piston1 which1 having a vacuum beneath it1 will consequently descend4 ,at the commencement of the motion1 the lesser piston is as much resisted by the steam below it1 as it is urged by the steam above it2 but after a part of the descent has been effected1 the steam below the piston1 in the lesser cylinder1 passing into the greater1 expands into an increased space1 and therefore loses part of its elastic force4 ,the steam above the lesser piston retaining its full force by having a free communication with the boiler by the valve ,g1 the lesser piston will be urged by a force equal to the excess of the pressure of this steam above the diminished pressure of the expanded steam below it4 ,as the pistons descend1 the steam which is between them is continually increasing in its bulk1 and therefore decreasing in its pressure1 from whence it follows1 that the force which resists the lesser piston is continually decreasing1 while that which presses it down remains the same1 and therefore the effective force which impels it must be continually increasing4 ,pg#agf ,on the other hand1 the force which urges the greater piston is continually decreasing1 since there is a vacuum below it1 and the steam which presses it is continually expanding into an increased bulk4 ,illustration3 ,fig4 #ca4 ,impelled in this way1 let us suppose the pistons to have arrived at the bottoms of the cylinders1 and let the valves ,g1 ,l1 and ,o1 be closed1 and the valves ,i and ,n opened4 ,no steam is allowed to flow from the boiler1 ,g being closed1 nor any allowed to pass into the condenser1 since ,o is closed1 and all communication between the cylinders is stopped by closing ,l4 ,by opening the valve ,i1 a free communication is made between the top and bottom of the lesser piston through the tube ,h1 so that the steam which presses above the lesser piston will exert the same pressure below it1 and the piston is in a state of indifference4 ,in the same manner the valve ,n being open1 a free communication is made between the top and bottom of the greater piston1 and the steam circulates above and below the piston1 and leaves it free to rise4 ,a counterpoise attached to the pump-rods1 in this case1 draws up the piston1 as in ,watt's single engine2 and when they arrive at the top1 the valves ,i and ,n are closed1 and ,g1 ,l1 and ,o1 opened1 and the next descent of the pistons is produced in the manner already described1 and so the process is continued4 ,the valves are worked by the engine itself1 by means similar to some of those already described4 ,by computation1 we find the power of this engine to be nearly the same as a similar engine on ,watt's expansive principle4 ,it does not1 however1 appear1 that any adequate advantage was gained by this modification of the principle1 since no engines of this construction are now made4 7#ajc47 ,the use of two cylinders was revived by ,arthur ,woolf in #ahjd1 who1 in this and the succeeding year1 obtained patents for the application of steam raised under a high pressure to double-cylinder engines4 ,the specification of his patent states1 that he has proved by experiment that steam raised ,pg#agg under a safety-valve loaded with any given number of pounds upon the square inch will1 if allowed to expand into as many times its bulk as there are pounds of pressure on the square inch1 have a pressure equal to that of the atmosphere4 ,thus1 if the safety-valve be loaded with four pounds on the square inch1 the steam1 after expanding into four times its bulk1 will have the atmospheric pressure2 if it be loaded with #e1 #f1 or #aj lbs4 on the square inch1 it will have the atmospheric pressure when it has expanded into #e1 #f1 or #aj times its bulk1 and so on4 ,it was1 however1 understood in this case1 that the vessel into which it was allowed to expand should have the same temperature as the steam before it expands4 ,it is very unaccountable how a person of ,mr4 ,woolf's experience in the practical application of steam could be led into errors so gross as those involved in the averments of this patent2 and it is still more unaccountable how the experiments could have been conducted which led him to conclusions not only incompatible with all the established properties of elastic fluids1 but even involving in themselves palpable contradiction and absurdity4 ,if it were admitted that every additional pound avoirdupois which should be placed upon the safety-valve would enable steam1 by its expansion into a proportionally enlarged space1 to attain a pressure equal to the atmosphere1 the obvious consequence would be1 that a physical relation would subsist between the atmospheric pressure and the pound avoirdupois6 ,it is wonderful that it did not occur to ,mr4 ,woolf1 that1 granting his principle to be true at any given place1 it would necessarily be false at another place1 where the barometer would stand at a different height6 ,thus1 if the principle were true at the foot of a mountain1 it would be false at the top of it2 and if it were true in fair weather1 it would be false in foul weather1 since these circumstances would be attended by a change in the atmospheric pressure1 without making any change in the pound avoirdupois4#ba ,pg#agh 7#ajd47 ,for several years after the extension of ,watt's first patent had been obtained from parliament1 he was altogether engrossed by the labour of bringing to perfection the application of the steam-engine to the drainage of mines1 and in surmounting the numerous difficulties which presented themselves to its general adoption1 even after its manifold advantages were established and admitted4 ,when1 however1 these obstacles had been overcome1 and the works for the manufacture of engines for pumping water1 at ,soho1 had been organised and brought into active operation1 he was relieved from the pressure of these anxieties1 and was enabled to turn his attention to the far more extensive and important uses of which he had long been impressed with the conviction that the engine was capable4 ,his sagacious mind enabled him to perceive that the machine he had created was an infant force1 which by the fostering influence of his own genius would one day extend its vast power over the arts and manufactures1 the commerce and the civilisation of the world4 ,filled with such aspirations1 he addressed his attention about the year #aggi1 to the adaptation of the steam-engine to move machinery1 and thereby to supersede animal power1 and the natural agents1 wind and water4 ,the idea that steam was capable of being applied extensively as a prime mover1 had prevailed from a very early period2 and now that we have seen its powers so extensively brought to bear1 it will not be uninteresting to revert to the faint traces by which its agency was sketched in the crude speculations of the early mechanical inventors4 7#aje47 ,papin1 to whom the credit of discovering the method of producing a vacuum by the condensation of steam is due1 was the earliest and most remarkable of those projectors4 ,with very limited powers of practical application1 he was1 nevertheless1 peculiarly happy in his mechanical conceptions2 and had his experience and opportunities been proportionate to the clearsighted character of his mind1 he would doubtless have anticipated some of the most memorable of his successors in the progressive improvement of the steam engine4 ,in his work already cited1 after describing his method of imparting an alternate motion to a piston by the atmospheric ,pg#agi pressure acting against a vacuum produced by the condensation of steam1 he stated that his invention1 besides being applicable to pumping water1 could be available for rowing vessels against wind and tide1 which he proposed to accomplish in the following manner4 ,paddle-wheels1 such as have since been brought into general use1 were to be placed at the sides1 and attached to a shaft extending across the vessel4 ,within the vessel1 and under this shaft1 he proposed to place several cylinders supplied with pistons1 to be worked by the atmospheric pressure4 ,on the piston-rods were to be constructed racks furnished with teeth3 these teeth were to work in the teeth of wheels or pinions1 placed on the shaft of the paddle-wheels4 ,these pinions were not to be fixed on the shaft1 but to be connected with it by a ratchet2 so that when they turned in one direction1 they would revolve without causing the shaft to revolve2 but when driven in the other direction1 the catch of the ratchet-wheel would act upon the shaft so as to compel the shaft and paddle-wheels to revolve with the motion of the pinion or wheel upon it4 ,by this arrangement1 whenever the piston of any cylinder was forced down by the atmospheric pressure1 the rack descending would cause the corresponding pinion of the paddle-shaft to revolve2 and the catch of the ratchet wheel1 being thus in operation1 would cause the paddle-shaft and paddle-wheels also to revolve2 but whenever the piston would rise1 the rack driving the pinion in the opposite direction1 the catch of the ratchet wheel would merely fall from tooth to tooth1 without driving the paddle-shaft4 ,it is evident that by such an arrangement a single cylinder and piston would give an intermitting motion to the paddle-shaft1 the motion of the wheel being continued only during the descent of the piston2 but if several cylinders were provided1 then their motion might be so managed1 that when one would be performing its ascending stroke1 and therefore giving no motion to the paddle-shaft1 another should be performing its descending stroke1 and therefore driving the paddle-shaft4 ,as the interval between the arrival of the piston at the bottom of the cylinder and the commencement ,pg#ahj of its next descent would have been1 in the imperfect machine conceived by ,papin1 much longer than the time of the descent1 it was evident that more than two cylinders would be necessary to insure a constantly acting force on the paddle-shaft1 and1 accordingly1 ,papin proposed to use several cylinders4 ,in addition to this1 ,papin proposed to construct a boiler having a fireplace surrounded on every side by water1 so that the heat might be imparted to the water with such increased rapidity as to enable the piston to make four strokes per minute4 ,these projects were promulged in #afij1 but it does not appear that they were ever reduced to experiment4 7#ajf47 ,savery proposed1 in his original patent1 in #afih1 to apply his steam engine as a general prime mover for all sorts of machinery1 by causing it to raise water to make an artificial fall1 by which overshot water-wheels might be driven4 ,this proposal was not acted on during the lifetime of ,savery1 but it was at a subsequent period partially carried into effect4 ,mr4 ,joshua ,rigley erected several steam engines on this principle at ,manchester1 and other parts of ,lancashire1 to impel the machinery of some of the earliest manufactories and cotton mills in that district4 ,the engines usually raised the water from sixteen to twenty feet high1 from whence it was conveyed to an overshot wheel1 to which it gave motion4 ,the same water was repeatedly elevated by the engine1 so that no other supply was necessary1 save what was sufficient to make good the waste4 ,these engines continued in use for some years1 until superseded by improved machines4#bb 7#ajg47 ,in #agcf1 ,jonathan ,hulls obtained a patent for a method of towing ships into or out of harbour against wind and tide4 ,this method was little more than a revival of that proposed by ,papin in #afij4 ,the motion1 however1 was to be communicated to the paddle-shaft by a rope passing over a pulley fixed on an axis1 and was to be maintained during the returning stroke of the piston by the descent of a weight which was elevated during the descending stroke4 ,there is no record1 however1 of this plan1 any more than that of ,papin1 ever having been reduced to experiment4 7#ajh47 ,during the early part of the last century the ,pg#aha manufactures of this country had not attained to such an extent as to render the moving power supplied by water insufficient or uncertain to any inconvenient degree2 and accordingly mills1 and other works in which machinery required to be driven by a moving power1 were usually built along the streams of rivers4 ,about the year #agej the general extension of manufactures1 and their establishment in localities where water power was not accessible1 called the steam engine into more extensive operation4 ,in the year #ageb1 ,mr4 ,champion1 of ,bristol1 applied the atmospheric engine to raise water1 by which a number of overshot wheels were driven4 ,these were applied to move extensive brass-works in that neighbourhood1 and this application was continued for about twenty years1 but ultimately given up on account of the expense of fuel and the improved applications of the steam engine4 ,about this time ,smeaton applied himself with great activity and success to the improvement of wind and water mills1 and succeeded in augmenting their useful effect in a twofold proportion with the same supply of water4 ,from the year #agej until the year #aghj he was engaged in the construction of his improved water mills1 which he erected in various parts of the country1 and which were imitated so extensively that the improvement of such mills became general4 ,in cases where a summer drought suspended the supply of water1 horse machinery was provided1 either to work the mill or to throw back the water4 ,these improvements necessarily obstructed for a time the extension of steam power to mill work2 but the increase of manufactures soon created a demand for power greatly exceeding what could be supplied by such limited means4 ,in the manufacture of iron1 it is of great importance to keep the furnaces continually blown1 so that the heat may never be abated by day or night4 ,in the extensive ironworks at ,colebrook ,dale1 several water-wheels were used in the different operations of the manufacture of iron1 especially in driving the blowers of the iron furnaces4 ,these wheels were usually driven by the water of a river1 but in the summer months the supply became so short that it was insufficient to work them all4 ,steam engines were accordingly erected to ,pg#ahb return the water for driving these wheels4 ,this application of the engine as an occasional power for the supply of water-wheels having been found so effectual1 returning engines were soon adopted as the permanent and regular means of supplying water-wheels4 ,the first attempt of this kind is recorded to have been made by ,mr4 ,oxley1 in #agfb1 who constructed a machine to draw coals out of a pit at ,hartley colliery1 in ,northumberland4 ,it was originally intended to turn the machine by a continuous circular motion received from the beam of the engine2 but that method not being successful1 the engine was applied to raise water for a wheel by which the machine was worked4 ,this engine was continued in use for several years1 and though it was at length abandoned1 on account of its defective construction1 it nevertheless established the practicability of using steam power as a means of driving water wheels4#bc 7#aji47 ,in the year #aggg1 ,mr4 ,john ,stewart read a paper before the ,royal ,society1 describing a method for obtaining a continued circular motion for turning all kinds of mills from the reciprocating motion of a steam engine4 ,he proposed to accomplish this by means of two endless chains passing over pulleys1 which should be moved upwards and downwards by the motion of the engine1 in the manner of a window sash4 ,the joint pins of the links of the two chains worked in teeth at the opposite sides of a cog wheel1 to which they imparted a circular motion1 first by one chain1 and then by the other1 acting alternately on opposite sides of the wheel4 ,one chain impelled it during the descent of the piston1 and the other during the ascent2 but one of these chains always passed over its pulleys so as to produce no effect on one side of the cog wheel1 whilst the other chain worked on the opposite side to turn it round4 ,for this purpose each chain was provided with a catch1 to prevent its circulating over its pulleys in one direction1 but to allow it free motion in the other4 ,the cog wheel thus kept in revolution might be applied to the axis of any mill which the engine was required to work4 ,thus1 if it were applied to a flour-mill1 the millstone itself would perform the office of a fly-wheel to regulate the intermission of ,pg#ahc the power1 and in other mills a fly-wheel might be added for this purpose4 ,the hints obtained by ,mr4 ,stewart from ,papin's contrivance1 before mentioned1 will not fail to be perceived4 ,in ,mr4 ,stewart's paper he notices indirectly the method of obtaining a continued circular motion from a reciprocating motion by means of a crank or winch1 which1 he says1 occurs naturally in theory1 but in practice would be impossible1 from the nature of the motion of the engine1 which depends on the force of the steam1 and cannot be ascertained in its length4 ,therefore1 on the first variation1 the machine would be either broken in pieces or turned back4 ,such an opinion1 pronounced by a man of considerable mechanical knowledge and ingenuity1 against a contrivance which1 as will presently appear1 proved in practice1 not less than in theory1 to be the most effectual means of accomplishing the end here pronounced to be impossible1 is sufficiently remarkable4 ,it might cast some doubt on the extent of ,mr4 ,stewart's practical knowledge1 if it did not happen to be in accordance with a judgment so generally unimpeachable as that of ,mr4 ,smeaton4 ,this paper of ,mr4 ,stewart's was referred by the council of the ,royal ,society to ,mr4 ,smeaton1 who remarked upon the difficulty arising from the absolute stopping of the whole mass of moving power1 whenever the direction of the motion is changed2 and observed1 that although a fly-wheel might be applied to regulate the motion1 it must be such a large one as would not be readily controlled by the engine itself2 and he considered that the use of such a fly-wheel would be a greater incumbrance to a mill than a water-wheel to be supplied by water pumped up by the engine4 ,this engineer1 illustrious as he was1 not only fell into the error of ,mr4 ,stewart in respect of the crank1 but committed the further blunder of condemning the very expedient which has since rendered the crank effectual4 ,it will presently appear that the combination of the crank and fly-wheel have been the chief means of establishing the dominion of the steam engine over manufactures4 7#aaj47 ,in #aggi1 ,mr4 ,matthew ,wasbrough1 an engineer at ,bristol1 took out a patent for the application of a steam engine ,pg#ahd to produce a continuous circular motion by means of ratchet wheels1 similar to those previously used by ,mr4 ,oxley1 at ,hartley colliery2 to which1 however1 ,mr4 ,wasbrough added a fly-wheel to maintain and regulate the motion4 ,several machines were constructed under this patent2 and among others1 one was erected at ,mr4 ,taylor's saw-mills and block manufactory at ,southampton4 ,in #aghj1 one was erected at ,birmingham1 where the ratchet work was found to be subject to such objections1 that one of the persons about the works substituted for it the simple crank1 which has since been invariably used4 ,a patent was taken out for this application of the crank in the same year1 by ,mr4 ,james ,pickard1 of ,birmingham4 ,it will presently appear1 however1 that the suggestion of this application of the crank was derived from the proceedings of ,watt1 who was at the same time engaged in similar experiments4 7#aaa47 ,the single-acting steam engine1 as constructed by ,watt1 was not adapted to produce continuous uniform motion of rotation1 for the following reasons3-- ,first4 ,the effect required was that of an uniformly acting force4 ,the steam engine1 on the other hand1 supplied an intermitting force4 ,its operation was continued during the descending motion of the piston1 but it was suspended during the ascent of the piston4 ,to produce the continued effect now required1 either its principle of operation should be altered1 or some expedient should be devised for maintaining the motion of the revolving shaft during the ascent of the piston1 and the consequent suspension of the moving power4 ,secondly4 ,the action of the steam engine was rectilinear4 ,it was a power which acted in a straight line1 viz41 in the direction of the cylinder4 ,the motion1 however1 required to be produced1 was a circular motion--a motion of rotation around the axis or shaft of the mill4 ,the steps by which ,watt proceeded to accomplish these objects have been recorded by himself as follows1 in his notes upon ,dr4 ,robison's article on the steam engine3-- ,i had very early turned my mind to the producing of continued motion round an axis2 and it will be seen1 by reference to my first specification in #agfi1 that ,i there described ,pg#ahe a steam wheel1 moved by the force of steam1 acting in a circular channel against a valve on one side1 and against a column of mercury1 or some other fluid metal1 on the other side4 ,this was executed upon a scale of about six feet diameter at ,soho1 and worked repeatedly1 but was given up1 as several practical objections were found to operate against it2 similar objections lay against other rotative engines1 which had been contrived by myself and others1 as well as to the engines producing rotatory motions by means of ratchet wheels4 ,having made my single reciprocating engines very regular in their movements1 ,i considered how to produce rotative motions from them in the best manner2 and amongst various schemes which were subjected to trial1 or which passed through my mind1 none appeared so likely to answer the purpose as the application of the crank1 in the manner of the common turning lathe2 but as the rotative motion is produced in that machine by impulse given to the crank in the descent of the foot only1 it requires to be continued in its ascent by the energy of the wheel1 which acts as a fly2 being unwilling to load my engine with a fly-wheel heavy enough to continue the motion during the ascent of the piston 7or with a fly-wheel heavy enough to equalise the motion1 even if a counterweight were employed to act during that ascent71 ,i proposed to employ two engines1 acting upon two cranks fixed on the same axis1 at an angle of #abj to one another1 and a weight placed upon the circumference of the fly-wheel at the same angle to each of the cranks1 by which means the motion might be rendered nearly equal1 and only a very light fly-wheel would be requisite4 ,this had occurred to me very early2 but my attention being fully employed in making and erecting engines for raising water1 it remained in petto until about the year #aggh or #aghi1 when ,mr4 ,wasbrough erected one of his ratchet-wheel engines at ,birmingham1 the frequent breakages and irregularities of which recalled the subject to my mind1 and ,i proceeded to make a model of my method1 which answered my expectations2 but having neglected to take out a patent1 the invention was communicated by a workman employed to ,pg#ahf make the model1 to some of the people about ,mr4 ,wasbrough's engine1 and a patent was taken out by them for the application of the crank to steam engines4 ,this fact the said workman confessed1 and the engineer who directed the works acknowledged it2 but said1 nevertheless1 that the same idea had occurred to him prior to his hearing of mine1 and that he had even made a model of it before that time2 which might be a fact1 as the application to a single crank was sufficiently obvious4 ,in these circumstances1 ,i thought it better to endeavour to accomplish the same end by other means1 than to enter into litigation2 and if successful1 by demolishing the patent1 to lay the matter open to every body4 ,accordingly1 in #agha1 ,i invented and took out a patent for several methods of producing rotative motions from reciprocating ones2 amongst which was the method of the sun-and-planet wheels4 ,this contrivance was applied to many engines1 and possesses the great advantage of giving a double velocity to the fly-wheel2 but is perhaps more subject to wear1 and to be broken under great strains1 than a simple crank1 which is now more commonly used1 although it requires a fly-wheel of four times the weight1 if fixed upon the first axis2 my application of the double engine to these rotative machines rendered the counterweight unnecessary1 and produced a more regular motion4 7#aab47 ,watt's second patent here referred to1 was dated #beth ,october1 #agha1 and was entitled ,a patent for certain new methods of applying the vibrating or reciprocating motions of steam or fire engines to produce a continued rotative or circular motion round an axis or centre1 and thereby to give motion to the wheels of mills and other machines4 ,all the methods specified in this patent were intended to be worked by the single-acting engine1 already described1 a counterweight being applied to impel the machinery during the returning stroke of the engine1 which weight would be elevated during the descent of the piston4 ,there were five different expedients proposed in the specification for producing a rotatory motion2 but1 of these five1 two only were ever applied in practice4 ,pg#ahg 7#aac47 ,suppose a rod or bar attached by a pin or joint at the upper extremity to the working end of the beam of the engine1 and by a similar pin or joint at the lower extremity to an iron wheel fixed on the extremity of the axis of the fly-wheel4 ,one half of this wheel is formed of a solid semicircle of cast iron1 while the other half is constructed of open spokes1 so as to be as light as is consistent with strength4 ,the position of the wheel on the axis is such that during the returning stroke of the piston1 when the operation of the steam is suspended1 the heavy semicircle of the wheel will be descending1 and by its weight will draw down the connecting bar1 and thereby draw down the working end of the beam1 and draw up the piston in the cylinder4 ,when the piston descends and is driven by the power of the steam1 the heavy semicircle of the above-mentioned wheel will be drawn upwards1 and in the same way the motion will be continued4 ,illustration3 ,fig4 #cb4 7#aad47 ,the second method of producing a rotatory motion1 which was subsequently continued for many years in practical operation1 was that which was called the ,sun-and-planet ,wheels4 ,a toothed wheel ,a 7fig4 #cb471 called the sun wheel1 was fixed on the axle of the fly-wheel1 to which rotation was to be imparted4 ,the wheel ,b1 called the planet wheel1 having an equal diameter1 was fastened on the end ,i of the connecting rod ,h ,i1 so as to be incapable of revolving4 ,during the descent of the piston1 the working end of the beam was drawn upwards1 and the end ,i of the connecting rod travelled from ,c to ,d1 through the dotted semicircle ,c ,i ,d4 ,the wheel ,b not being capable of revolving on the centre ,i1 would1 during this motion1 drive the sun wheel ,a4 ,during the ascent of the steam piston1 the working end of the beam would descend1 and the centre ,i of ,pg#ahh the planet wheel ,b would be driven downwards from ,d to ,c1 through the other dotted semicircle1 and would consequently continue to drive the sun wheel round in the same direction4 ,this contrivance1 although in the main inferior to the more simple one of the crank1 is not without some advantages2 among others1 it gives to the sun wheel double the velocity which would be communicated by the crank2 for in the crank one revolution only on the axle is produced by one revolution of the crank1 but in the sun-and-planet wheel1 two revolutions of the sun wheel are produced by one of the planet wheel2 thus a double velocity is obtained from the same motion of the beam4 ,this will be evident from considering that when the planet wheel is in its highest position1 its lowest tooth is engaged with the highest tooth of the sun wheel2 as the planet wheel passes from the highest position1 its teeth drive those of the sun wheel before them1 and when it comes into the lowest position1 the highest tooth of the planet wheel is engaged with the lowest of the sun wheel3 but then half of the sun wheel has rolled off the planet wheel1 and1 therefore1 the tooth which was engaged with it in its highest position1 must now be distant from it by half the circumference of the wheel1 and must1 therefore1 be again in the highest position2 so that while the planet wheel has been carried from the top to the bottom1 the sun wheel has made a complete revolution4 ,this advantage of giving an increased velocity may be obtained also by the crank1 by placing toothed wheels on its axle4 ,independently of the greater expense attending the construction of the sun-and-planet wheel1 its liability to go out of order1 and the rapid wear of the teeth1 and other objections1 rendered it inferior to the crank1 which has entirely superseded it4 7#aae47 ,although by these contrivances ,watt succeeded in obtaining a continuous circular motion from the reciprocating motion of the steam engine1 the machine was still one of intermitting1 instead of continuous action4 ,the expedient of a counterweight1 elevated during the descending stroke1 and giving back the power expended on it in the interval of the returning stroke1 did not satisfy the ,pg#ahi fastidious mechanical taste of ,watt4 ,he soon perceived that all which he proposed to accomplish by the application of two cylinders and pistons working alternately1 could be attained with greater simplicity and effect by a single cylinder1 if he could devise means by which the piston might be impelled by steam upwards as well as downwards4 ,to accomplish this1 it was only necessary to throw the lower end of the cylinder into alternate communication with the boiler1 while the upper end would be put into communication with the condenser4 ,if1 for example1 during the descent of the piston1 the upper end of the cylinder communicated with the boiler1 and the lower end with the condenser2 and1 on the other hand1 during the ascent of the piston1 the lower end communicated with the boiler1 and the upper end with the condenser2 then the piston would be driven continually1 whether upwards or downwards1 by the power of steam acting against a vacuum4 ,watt obtained his third patent for this contrivance1 on the #abth of ,march1 #aghb4 ,this change in the principle of the machine involved several other changes in the details of its mechanism4 ,illustration3 ,fig4 #cc4 7#aaf47 ,it was necessary1 in the first place1 to provide means for admitting and withdrawing the steam at either end of the cylinder4 ,for this purpose let ,b and ,b 7fig4 #cc47 be two steam-boxes1 ,b the upper1 and ,b the lower1 communicating respectively with the top and bottom of the cylinder by proper passages ,d ,d4 ,let two valves be placed in ,b1 one1 ,s1 above the passage ,d1 and the other1 ,c1 below it2 and in like manner two other valves in the lower valve-box1 ,b1 one1 ,s1 above the passage ,d1 and the other1 ,c1 below it4 ,above the valve ,s in the upper steam-box is an opening at which the steam-pipe from the boiler enters1 and below the valve ,c is another opening1 at which enters the exhausting-pipe leading to the condenser4 ,in like manner1 above the valve ,s in the lower steam-box enters a steam-pipe leading from the boiler1 and below the valve ,c enters an exhausting-pipe leading to ,pg#aij the condenser4 ,it is evident1 therefore1 that steam can always be admitted above the piston by opening the valve ,s1 and below it by opening the valve ,s2 and1 in like manner1 steam can be withdrawn from the cylinder above the piston1 and allowed to pass to the condenser1 by opening the valve ,c1 and from below it by opening the valve ,c4 ,illustration3 ,fig4 #cd4 ,supposing the piston ,p to be at the top of the cylinder1 and the cylinder below the piston to be filled with pure steam1 let the valves ,s and ,c be opened1 the valves ,c and ,s being closed as represented in fig4 #cd4 ,steam from the boiler will1 therefore1 flow in through the open valve ,s1 and will press the piston downwards1 while the steam that has filled the cylinder below the piston will pass through the open valve ,c into the exhausting-pipe leading to the condenser1 and being condensed will leave the cylinder below the piston a vacuum4 ,the piston will1 therefore1 be pressed downwards by the action of the steam above it1 as in the single-acting engine4 ,having arrived at the bottom of the cylinder1 let the valves ,s and ,c be both closed1 and the valves ,s and ,c be opened1 as represented in fig4 #cd4 ,steam will now be admitted through the open valve ,s and through the passage ,d below the piston1 while the steam which has just driven the piston downwards1 filling the cylinder above the piston1 will be drawn off through the open valve ,c1 and the exhausting-pipe1 into the condenser1 leaving the cylinder above the piston a vacuum4 ,the piston will1 therefore1 be pressed upwards by the action of the steam below it1 against the vacuum above it1 and will ascend with the same force as that with which it had descended4 ,this alternate action of the piston upwards and downwards may evidently be continued by opening and closing the valves alternately in pairs4 ,whenever the piston is at the top of the cylinder1 as represented in fig4 #cc41 the valves ,s and ,c1 that is1 the upper steam-valve and the lower exhausting-valve1 are opened1 and the valves ,c and ,s1 that is1 the upper exhausting-valve and the lower steam-valve1 are closed2 and ,pg#aia when the piston has arrived at the bottom of the cylinder1 as represented in fig4 #cd41 the valves ,c and ,s1 that is1 the upper exhausting-valve and the lower steam-valve1 are opened1 and the valves ,s and ,c1 that is1 the upper steam-valve and the lower exhausting-valve1 are closed4 ,if these valves1 as has been here supposed1 be opened and closed at the moments at which the piston reaches the top and bottom of the cylinder1 it is evident that they may be all worked by a single lever connected with them by proper mechanism4 ,when the piston arrives at the top of the cylinder1 this lever would be made to open the valves ,s and ,c1 and at the same time to close the valves ,s and ,c2 and when it arrives at the bottom of the cylinder1 it would be made to close the valves ,s and ,c1 and to open the valves ,s and ,c4 ,if1 however1 it be desired to cut off the steam before the arrival of the piston at the termination of its stroke1 whether upwards or downwards1 then the steam-valves must be closed before the arrival of the piston at the end of its stroke2 and as the exhausting-valve ought to be left open until the stroke is completed1 these valves ought to be moved at different times4 ,in that case separate levers should be provided for the different valves4 ,we shall1 however1 return again to the subject of the valves which regulate the admission of steam to the cylinder and its escape to the condenser4 7#aag47 ,it will be remembered that in the single-acting engine the process of condensation was suspended while the piston ascended in the cylinder1 and therefore the play of the jet of cold water in the condenser was stopped during this interval4 ,in the double-acting engine1 however1 the flow of steam from the cylinder to the condenser is continued1 whether the piston ascends or descends1 and therefore a constant condensation of steam must be produced4 ,the condensing jet1 therefore1 does not in this case1 as in the former1 play with intervals of intermission4 ,a constant jet of cold water must be maintained in the condenser4 ,it will presently appear that in the double-acting engine applied to manufactures1 the motion of the piston was subject to more or less variation of speed1 and the quantity of steam ,pg#aib admitted to the cylinder was subject to a corresponding change4 ,the quantity of steam1 therefore1 drawn into the condenser was subject to variation1 and required a considerable change in the quantity of cold water admitted through the jet to condense it4 ,to regulate this1 the valve or cock by which the water was admitted into the condenser was worked in the double-acting engine by a lever furnished with an index1 by which the quantity of condensing water admitted into the condenser could be regulated4 ,this index played upon a graduated arch1 by which the engine-man was enabled to regulate the supply4 ,illustration3 ,,heathfield ,,house1 ,,near ,,birmingham1 ,,the ,,residence ,,of ,,watt4 ,,footnotes3 #bj ,these effects are explained in my ,treatise on ,heat2 and they have lately been verified by experiments made with locomotive engines by ,m4 de ,pambour1 who found that the steam raised from the boiler of a locomotive engine1 under a pressure of above #ej lbs4 per square inch1 was in the state of common steam as it issued from the chimney at a very diminished pressure and at a lower pressure4 #ba ,it is strange that this absurdity has been repeatedly given as unquestionable fact in various encyclopdias1 as well as in by far the greater number of treatises expressly on the subject4 #bb ,farey1 ,treatise on the ,steam ,engine1 p4 #abb4 #bc ,farey on the ,steam ,engine1 p4 #big4 ,pg#aic ,illustration3 ,,double-,,acting ,,engine4--,,city ,,saw-,,mills4 ,,chap4 ,,viii4 ,,methods ,,of ,,connecting ,,the ,,piston-,,rod ,,and ,,beam ,,in ,,the ,,double-,,acting ,,engine4 -- ,,rack ,,and ,,sector4 -- ,,parallel ,,motion4 -- ,,connecting ,,rod ,,and ,,crank4 -- ,,fly-,,wheel4 -- ,,throttle-,,valve4 -- ,,governor4 -- ,,construction ,,and ,,operation ,,of ,,the ,,double-,,acting ,,engine4 -- ,,eccentric4 -- ,,cocks ,,and ,,valves4 -- ,,single-,,clack ,,valve4 -- ,,double-,,clack ,,valve4 -- ,,conical ,,valves4 -- ,,slide ,,valves4 -- ,,murray',s ,,slides4 -- ,,the ,d ,,valve4 -- ,,seaward',s ,,slides4 -- ,,single ,,cock4 -- ,,four-,,way ,,cock4 -- ,,pistons4 -- ,,common ,,hemp-,,packed ,,piston4 -- ,,woolfe',s ,,piston4 -- ,,metallic ,,pistons4 -- ,,cartwright',s ,,engine4 -- ,,cartwright',s ,,piston4 -- ,,barton',s ,,piston4 7#aah47 ,in the single-acting engine1 the force of the piston acted on the beam only during its descent2 and this force was transmitted from the piston to the beam1 as we have seen1 by a flexible chain1 extended from the end of the piston-rod1 ,pg#aid and playing upon the arch head of the beam4 ,in the double-acting engine1 however1 the force of the steam pressing the piston upwards must likewise be transmitted to the beam1 so as to drive the latter upwards while the piston ascends4 ,this action could not be accomplished by a chain connecting the piston with the arch head of the beam4 ,where the mechanical action to be transmitted is a pull1 and not a push1 a flexible chain1 cord1 or strap1 is sufficient2 but if a push or thrust is required to be transmitted1 then the flexibility of the medium of mechanical communication afforded by a chain renders it inapplicable4 ,in the double-acting engine1 during the descent1 the piston-rod still pulls the beam down2 and so far a chain connecting the piston-rod with the beam would be sufficient to transmit the action of the one to the other2 but in the ascent1 the beam no longer pulls up the piston-rod1 but is pushed up by it4 ,a chain from the piston-rod to the arch head1 as described in the single-acting engine1 would fail to transmit this force4 ,if such a chain were used with the double engine1 where there is no counterweight on the opposite end of the beam1 the consequence would be1 that in the ascent of the piston the chain would slacken1 and the beam would still remain depressed4 ,it is therefore necessary that some other mechanical connection be contrived between the piston-rod and the beam1 of such a nature that in the descent the piston-rod may pull the beam down1 and may push it up in the ascent4 ,illustration3 ,fig4 #ce4 ,watt first proposed to effect this by attaching to the end of the piston-rod a straight rack1 faced with teeth1 which should work in corresponding teeth raised on the arch head of the beam1 as represented in fig4 #ce4 ,if his improved steam engines required no further precision of operation and construction than the atmospheric engines1 this might have been sufficient2 but in these engines it was indispensably necessary that the piston-rod should be guided with a smooth and even motion through the stuffing-box in the top of the cylinder1 otherwise any shake or irregularity would cause it to work loose in the stuffing-box1 and either to admit the air1 or to let the steam escape4 ,under these circumstances1 the motion of ,pg#aie the rack and toothed arch head were inadmissible1 since it was impossible by such means to impart to the piston-rod that smooth and equable motion which was requisite4 ,another contrivance which occurred to ,watt was1 to attach to the top of the piston-rod a bar1 which should extend above the beam1 and to use two chains or straps1 one extending from the top of the bar to the lower end of the arch head1 and the other from the bottom of the bar to the upper end of the arch head4 ,by such means the latter strap would pull the beam down when the piston would descend1 and the former would pull the beam up when the piston would ascend4 ,these contrivances1 however1 were superseded by the celebrated mechanism since called the ,parallel ,motion1 one of the most ingenious mechanical combinations connected with the history of the steam engine4 7#aai47 ,it will be observed that the object was to connect by some inflexible means the end of the piston-rod with the extremity of the beam1 and so to contrive the mechanism1 that while the end of the beam would move alternately up and down in part of a circle1 the end of the piston-rod connected with the beam should move up and down in a straight line4 ,if the end of the piston-rod were fastened upon the end of the beam by a pivot without any other connection1 it is evident that1 being moved up and down in the arch of a circle1 it would be drawn to the left and the right alternately1 and would consequently either be broken or bent1 or would work loose in the stuffing-box4 ,instead of connecting the end of the rod immediately with the end of the beam by a pivot1 ,watt proposed to connect them by certain moveable rods1 so arranged that1 as the end of the beam would move up and down in the circular arch1 the rods would so accommodate themselves to that motion1 that the end connected with the piston-rod should not be disturbed from its rectilinear course4 ,to explain the principle of the mechanism called the parallel motion1 let us suppose that ,o ,p 7fig4 #cf47 is a rod or lever moveable on a centre ,o1 and that the end ,p of this rod shall move through a circular arch ,p ,p ,p ,p a vertical plane1 and let its play be limited by two stops ,s1 which shall prevent its ascent above the point ,p1 and its descent below ,pg#aif the point ,p4 ,let the position of the rod and the limitation of its play be such that the straight line ,a ,b drawn through ,p and ,p1 the extreme positions of the lever ,o ,p1 shall be a vertical line4 ,illustration3 ,fig4 #cf4 ,let o be a point on the other side of the vertical line ,a ,b1 and let the distance of ,o to the right of ,a ,b be the same as the distance of o to the left of ,a ,b4 ,let o p be a rod equal in length to ,o ,p1 moving like ,o ,p on the centre o1 so that its ,pg#aig extremity p shall play upwards and downwards through the arch p p p p1 its play being limited in like manner by stops s4 ,now1 let us suppose that the ends ,p p of these two rods are joined by a link ,p p1 the connection being made by a pivot1 so that the angles formed by the link and the rods shall be capable of changing their magnitude4 ,this link will make the motion of one rod depend on that of the other1 since it will preserve their extremities ,p p always at the same distance from each other4 ,if1 therefore1 we suppose the rod ,o ,p to be moved to the position ,o ,p1 its extremity ,p tracing the arch ,p ,p ,p ,p1 the link connecting the rods will at the same time drive the extremity p of the rod o p through the arch p p p p so that when the extremity of the one rod arrives at ,p1 the extremity of the other rod will arrive at p4 ,by this arrangement1 in the simultaneous motion of the rods1 whether upwards or downwards1 through the circular arches to which their play is limited1 the extremities of the link joining them will deviate from the vertical line ,a ,b in opposite directions4 ,at the limits of their play1 the extremities of the link will always be in the line ,a ,b2 but in all intermediate positions1 the lower extremity of the link will be to the right of ,a ,b1 and its upper extremity to the left of ,a ,b4 ,so far as the derangement of the lower extremity of the link is concerned1 the matter composing the link would be transferred to the right of ,a ,b1 and so far as the upper extremity of the link is concerned1 the matter composing it would be transferred to the left of ,a ,b4 ,by the combined effects of these contrary derangements of the extremities of the link from the vertical line1 it might be expected that a point would exist1 in the middle of the link1 where the two contrary derangements would neutralise each other1 and which point would therefore be expected to be disturbed neither to the right nor to the left1 but to be moved upwards and downwards in the vertical line ,a ,b4 ,such is the principle of the parallel motion2 and in fact the middle point of the link will move for all practical purposes accurately in the vertical line ,a ,b1 provided that the angular play of the levers ,o ,p and o p does not exceed a certain ,pg#aih limit1 within which1 in practice1 their motion may always be restrained4 ,to trace the motion of the middle point of the link more minutely1 let ,p ,p ,p ,p be four positions of the lever ,o ,p1 and let p p p p be the four corresponding positions of the lever o p4 ,in the positions ,o ,p o p1 the link will take the position ,p p1 in which the entire link will be vertical1 and its middle point x will therefore be in the vertical line ,a ,b4 ,when the one rod takes the position ,o ,p1 the other rod will have the position o p2 and the link will have the position ,p p4 ,the middle point of the link will be at x1 which will be found to be on the vertical line ,a ,b4 ,thus one half of the link ,p x will be to the left of the vertical line ,a ,b2 while the other half1 p x1 will be to the right of the vertical line2 the derangement from the vertical line affecting each half of the link in contrary directions4 ,again1 taking the one rod in the position ,o ,p1 the corresponding position of the other rod will be o p1 and the position of the link will be ,p p4 ,if the middle point of the link in this position be taken1 it will be found to be at x1 on the vertical line ,a ,b2 and1 as before1 one half of the link ,p x will be thrown to the left of the vertical line1 while the other half p x1 will be thrown to the right of the vertical line4 ,finally1 let the one rod be in its lowest position1 ,o ,p1 while the other rod shall take the corresponding position1 o p4 ,the direction of the link ,p p will now coincide with the vertical line2 and its middle point x will therefore be upon that line4 ,the previous derangement of the extremities of the rod1 to the right and to the left1 are now redressed1 and all the parts of the rod have assumed the vertical position4 ,it is plain1 therefore1 that by such means the alternate motion of a point such as ,p or p1 upwards and downwards in a circular arch1 may be made to produce the alternate motions of another point x1 upwards and downwards in a straight line4 7#abj47 ,although the guidance of the air-pump rod in a true vertical line is not so necessary as that of the steam piston1 ,pg#aii and as the air-pump piston is always brought down by its own weight and that of its rod1 the connection of the air-pump piston-rod with the beam1 by any contrivance of the kind now described1 was not so necessary4 ,nevertheless1 by a slight addition to the mechanical contrivance which has been just described1 ,watt obtained the means of at once preserving the true rectilinear motion of both piston-rods4 ,illustration3 ,fig4 #cg4 ,let the lever represented by ,o ,p in fig4 #cf4 be conceived to be prolonged to twice its length1 as represented in fig4 #cg41 so that ,o ,p shall be twice ,o ,p4 ,let the points ,p p be connected by a link as before4 ,let a link ,p x1 equal in length to the link ,p p be attached to the point ,p1 and let the extremity x of this link be connected with the point p by another link1 equal in length to ,p ,p1 by pivots at x and p1 so that the figure ,p ,p x p shall be a jointed parallelogram1 the angles of which will be capable of altering their magnitude with every change of position of the rods o p and ,o ,p4 ,thus1 when the rod ,o ,p descends1 the angles of the parallelogram at ,p and x will be diminished in magnitude1 while the angles at ,p and p will be increased in magnitude4 ,now1 let a line be conceived to be drawn from ,o to x4 ,it is evident that that line will pass through the middle point of the link p ,p1 for the triangle ,o ,p x is in all respects similar to the greater triangle ,o ,p x only on half the scale1 so that every side of the one is ,pg#bjj half the corresponding side of the other4 ,therefore ,p x is half the length of ,p x2 but ,p x was made equal to ,p p1 and therefore p x is half of ,p p1 that is to say1 x is the middle point of ,p p4 ,it has been already shown1 that in the alternate motion of the rods o p1 ,o ,p in ascending and descending1 the point x is moved upwards and downwards in a true vertical line4 ,now since the triangle ,o ,p x is in all respects similar to ,o ,p x1 and subject to a similar motion during the ascent and descent of the rods1 it is apparent that the point x must be subject to a motion in all respects similar to that which affects the points x1 except that the point x will move through double the space4 ,in fact1 the principle of the mechanism is precisely similar to that of the common pantograph1 where two rods are so connected as that the motion of the one governs the motion of the other1 so that whatever line or figure may be described by one1 a similar line or figure must be described by the other4 ,since1 then1 the point x is moved upwards and downwards in a vertical straight line1 the point x will also be moved in a vertical straight line of double the length4 ,if such an arrangement of mechanism as has been here described can be connected with the beam of the steam engine1 so that while the point x is attached to the top of the steam piston1 and the space through which it ascends and descends shall be equal to the length of the stroke of that piston1 the point x shall be attached to the rod of the air-pump piston1 the stroke of the latter being half that of the steam piston1 then the points x and x will guide the motion of the two pistons so as to preserve them in true vertical straight lines4 ,the manner in which these ideas are reduced to practice admits of easy explanation3 let the point ,o be the centre of the great working beam1 and let ,o ,p be the arm of the beam on the side of the steam cylinder4 ,let ,p be a pivot upon the beam1 at the middle point between its centre ,o and its extremity ,p2 and let the links ,p p1 ,p x1 and ,p p be jointed together1 as already described4 ,let the point or pivot o be attached to some part of the fixed framing of the engine or engine house1 and let the rod o p1 equal to half the arm of the beam1 be attached by a pivot to the corner of the parallelogram at ,pg#bja p4 ,let the end of the steam piston-rod be attached to the corner of the parallelogram x1 and let the end of the air-pump be attached to the middle point x of the link ,p p2 by which arrangement it is evident that the rectilinear motion of the two piston-rods will be rendered compatible with the alternate circular motions of the points ,p and ,p on the beam4 ,among the many mechanical inventions produced by the fertile genius of ,watt1 there is none which has excited such universal1 such unqualified1 and such merited admiration as that of the parallel motion4 ,it is indeed impossible1 even for an eye unaccustomed to view mechanical combinations1 to behold the beam of a steam engine moving the pistons1 through the instrumentality of the parallel motion1 without an instinctive feeling of pleasure at the unexpected fulfilment of an end by means having so little apparent connection with it4 ,when this feeling was expressed to ,watt himself1 by those who first beheld the performance of this exquisite mechanism1 he exclaimed with his usual vivacity1 that he himself1 when he first beheld his own contrivance in action1 was affected by the same sense of pleasure and surprise at its regularity and precision4 ,he said1 that he received from it the same species of enjoyment that usually accompanies the first view of the successful invention of another person4 ,among the parts composing the steam engine1 you have doubtless1 says ,m4 ,arago1 observed a certain articulated parallelogram4 ,at each ascent and descent of the piston1 its angles open and close with the sweetness--,i had almost said with the grace--which charms you in the gestures of a consummate actor4 ,follow with your eye alternately the progress of its successive changes1 and you will find them subject to the most curious geometrical conditions4 ,you will see1 that of the four angles of the jointed parallelogram1 three describe circular arches1 but the fourth which holds the piston-rod is moved nearly in a straight line4 ,the immense utility of this result strikes mechanicians with even less force than the simplicity of the means by which ,watt has attained it4 ,the parallel motion1 of which there are several other varieties1 depending1 however1 generally upon the same ,pg#bjb principle1 formed part of a patent which ,mr4 ,watt obtained in the year #aghd1 another part of which patent was for a locomotive engine1 by which a carriage was to be propelled on a road4 ,in a letter to ,mr4 ,smeaton dated #bb;d ,october1 in the same year1 ,watt says1-- ,i have lately contrived several methods of getting entirely rid of all the chains and circular arches about the great levers of steam engines1 and nevertheless making the piston-rods ascend and descend perpendicularly1 without any sliding motions or right-lined guides1 merely by combinations of motions about centres2 and with this further advantage1 that they answer equally well to push upwards as to pull downwards1 so that this method is applicable to our double engines which act both in the ascent and descent of their pistons4 ,a rotative engine of this species with the new motion which is now at work in our manufactory 7but must be sent away very soon7 answers admirably4 ,it has cost much brain work to contrive proper working gear for these double engines1 but ,i have at last done it tolerably well1 by means of the circular valves1 placed in an inverted position1 so as to be opened by the force of the steam2 and they are kept shut by the working gear4 ,we have erected an engine at ,messrs4 ,goodwyne and ,co4's brewery1 ,east ,smithfield1 ,london4 ,illustration3 ,fig4 #ch4 7#aba47 ,by the contrivance which has been explained above1 the force of the piston in ascending and descending would be conveyed to the working end of the beam2 and the next problem which ,watt had to solve was1 to produce by the force exerted by the working end of the beam in ascending and descending a continuous motion of rotation4 ,in the first instance he proposed to accomplish this by a crank placed upon the axle to which rotation was to be imparted1 and driven by a rod connecting it with the working end of the beam4 ,let ,k 7fig4 #ch47 be the centre1 to which motion is to be imparted by the working end ,h of the beam4 ,on the axle ,k suppose a short lever ,k ,i to be fixed so that when ,k ,i is turned round the centre ,k1 the axle must turn with it4 ,let an iron rod1 the weight of which shall balance the piston and piston-rod at the other end of the beam1 be connected by joints with the working end ,h of the beam1 and the extremity ,i of the ,pg#bjc lever ,k ,i4 ,as the end ,h of the beam is moved upwards and downwards1 the lever ,k ,i will be turned round the centre ,k1 taking successively the positions represented by faint lines in the figure2 and thus a motion of continued rotation will be imparted to the axle ,k4 ,this simple and effectual expedient of producing a continued rotatory motion by a crank was abandoned by ,watt1 as already explained1 by reason of a patent having been obtained upon information of his experiments surreptitiously procured4 ,to avoid litigation1 he therefore substituted for the crank the sun and planet wheel already described2 but at the expiration of the patent1 which restricted the use of the crank1 the sun and planet wheel was discontinued in ,watt's engine1 and the crank restored4 7#abb47 ,whether the crank or the sun and planet wheel be used1 there is still a difficulty in the maintenance of a regular motion of rotation4 ,in the various positions which the crank and connecting rod assume throughout a complete revolution1 there are two in which the moving power loses all influence in impelling the crank4 ,these positions are those which the crank assumes when the piston is at the top and bottom of the ,pg#bjd cylinder1 and is just about to change the direction of its motion4 ,when the piston is at the bottom of the cylinder1 the pivot ,i 7fig4 #ch471 by which the connecting rod ,h ,i is attached to the end of the crank1 is immediately over the axle ,k of the crank1 and under the pivot ,h1 which joins the upper end of the connecting rod with the beam4 ,in fact1 in this position the connecting rod and crank are in the same straight line1 extending from the end of the beam to the axle of the crank4 ,the steam1 on entering the cylinder below the piston1 and pressing it upwards1 would produce a corresponding downward force on the connecting rod at ,h1 which would be continued along the connecting rod and crank to the axle ,k4 ,it is evident that such a force could have no tendency to turn the crank round1 but would expend its whole energy in pressing the axle ,k downwards4 ,the other position in which the power loses its effect upon the crank is when the piston is at the top of the cylinder4 ,in this case1 the working end of the beam will be at the lowest point of its play1 and the crank-pin ,i will be immediately below the axle ,k2 so that ,k will be placed immediately between ,h and ,i4 ,when the steam presses on the top of the piston1 it will expend its force in drawing the end ,h of the connecting rod upwards1 by which the crank-pin ,i will likewise be drawn upwards4 ,it is evident that this force can have no effect in turning the crank round1 but will expend its whole energy in producing an upward strain on the axle ,k4 ,if the crank were absolutely at rest in either of the positions above described1 it is apparent that the engine could not be put in motion by the steam2 but if the engine has been previously in motion1 then the mass of matter forming the crank1 and the axle on which the crank is formed1 having already had a motion of rotation1 will have a tendency to preserve the momentum it has received1 and this tendency will be sufficient to throw the crank ,k ,i out of either of those critical positions which have been described4 ,having once escaped these dead points1 then the connecting rod forming an angle1 however obtuse or acute1 with the crank1 the pressure or pull upon the former will have a tendency to produce rotation in the latter4 ,as the crank revolves1 however1 the influence ,pg#bje of the connecting rod upon it will vary according to the angle formed by the connecting rod and crank4 ,when that angle is a right angle1 then the effect of the connecting rod on the crank is greatest1 since the force upon it has the advantage of the whole leverage of the crank2 but according as the angle formed by the crank and connecting rod becomes more or less acute or obtuse in the successive attitudes which they assume in the revolution of the crank1 the influence of the connecting rod over the crank varies1 changing from nothing at the two dead points already described1 to the full effect produced in the two positions where they are at right angles4 ,in consequence of this varying leverage1 by which the force with which the connecting rod is driven by the steam is transmitted to the axle on which the crank revolves1 a corresponding variation of speed would necessarily be produced in the motion imparted to the crank4 ,the speed at the dead points would be least1 being due altogether to the momentum already imparted to the revolving mass of the crank and axle2 and it would gradually increase and be greatest at the points where the effect of the crank on the connecting rod is greatest4 ,although this change of speed would not affect the actual mechanical efficacy of the machine1 and although the same quantity of steam would perform the same work at the varying velocity as it would do if the velocity were regulated1 yet this variation of speed would be incompatible with the purposes to which it was now proposed that the steam engine should be applied in manufactures4 ,in these a regular uniform motion should be imparted to the main axle4 7#abc47 ,one of the expedients which ,watt proposed for the attainment of this end was1 by placing two cranks on the same axle1 in different positions1 to be worked by different cylinders1 so that while one crank should be at its dead points1 the other should be in the attitude most favourable for its action4 ,this expedient has since1 as we shall see1 been carried into effect in steam vessels2 but one more simple and efficient presented itself in the use of a fly-wheel4 ,on the main axle driven by the crank ,watt placed a large wheel of metal1 as represented in fig4 #dc41 called a fly-wheel4 ,this wheel being well constructed1 and nicely balanced on its ,pg#bjf axle1 was subject to very little resistance from friction2 any moving force which it would receive it would therefore retain1 and would be ready to impart such moving force to the main axle whenever that axle ceased to be driven by the power4 ,when the crank1 therefore1 is in those positions in which the action of the power upon it is most efficient1 a portion of the energy of the power is expended in increasing the velocity of the mass of matter composing the fly-wheel4 ,as the crank approaches the dead points1 the effect of the moving power upon the axle and upon the crank is gradually enfeebled1 and at these points vanishes altogether4 ,the momentum which has been imparted to the fly-wheel then comes into play1 and carries forward the axle and crank out of the dead points with a velocity very little less than that which it had when the crank was in the most favourable position for receiving the action of the moving power4 ,by this expedient1 the motion of revolution received by the axle from the steam piston is subject to no other variation than just the amount of change of momentum in the great mass of the fly-wheel1 which is sufficient to extricate the crank twice in every revolution from the mechanical dilemma to which its peculiar form exposes it2 and this change of velocity may be reduced to as small an amount as can be requisite by giving the necessary weight and magnitude to the fly-wheel4 7#abd47 ,by such arrangements the motion imparted to the main axle ,k would be uniform1 provided that the moving power of the engine be always proportionate to the load which it drives4 ,but in the general application of the steam engine to manufactures it was evident that the amount of the resistance to which any given machine would be subject must be liable to variation4 ,if1 for example1 the engine drive a cotton-mill1 it will have to impart motion to all the spinning frames in that mill4 ,the operation of one or more of these may from time to time be suspended1 and the moving power would be relieved from a corresponding amount of resistance4 ,if1 under such circumstances1 the energy of the moving power remained the same1 the velocity with which the machines would be driven would be subject to variation1 being increased whenever the operation of any portion of the machines usually ,pg#bjg driven by it is suspended2 and1 on the other hand1 diminished when any increased number of machines are brought into operation4 ,in fine1 the speed would vary nearly in the inverse proportion of the load driven1 increasing as the load is diminished1 and vice vers4 ,on the other hand1 supposing that no change took place in the amount of the load driven by the engine1 and that the same number of machines of whatever kind would have to be continually driven1 the motion imparted to the main axle would still be subject to variation by the changes inevitable to the moving power4 ,the piston of the engine being subject to an unvaried resistance1 a uniform motion could only be imparted to it1 by maintaining a corresponding uniformity in the impelling power4 ,this would require a uniform supply of steam from the boiler1 which would further imply a uniform rate of evaporation in the boiler1 unless means were provided in the admission of steam from the boiler to the cylinder to prevent any excess of steam which might be produced in the boiler from reaching the cylinder4 ,illustration3 ,fig4 #ci4 ,illustration3 ,fig4 #dj4 ,this end was attained by a contrivance afterwards called the throttle-valve4 ,an axis ,a ,b 7figs4 #ci1 #dj47 was placed across the steam pipe in a ring of cast-iron ,d ,e1 of proper thickness4 ,on this axis was fastened a thin circular plate ,t1 of nearly the same diameter as the steam pipe4 ,on the outer end ,b of this axle was placed a short lever or handle ,b ,c1 by which it could be turned4 ,when the circular plate ,t was turned into such a position as to be at right angles to the length of the tube1 it stopped the passage within the tube altogether1 so that no steam could pass from the boiler to the engine4 ,on the other hand1 when the handle was turned through a fourth of a revolution from this position1 then the circular plate ,t had its plane in the direction of the length of the tube1 so that its edge would be presented towards the current of steam flowing from the boiler to the cylinder4 ,in that position the passage within the tube ,pg#bjh would be necessarily unobstructed by the throttle-valve4 ,in intermediate positions of the valve1 as that represented in figs4 #ci1 #dj41 the passage might be left more or less opened1 so that steam from the boiler might be admitted to the cylinder in any regulated quantity according to the position given to the lever ,b ,c4 ,a view of the throttle-valve taken by a section across the steam pipe is exhibited in fig4 #dj41 and a section of it through the axis of the steam pipe is represented in fig4 #ci4 ,the form of the valve is such1 that1 if accurately constructed1 the steam in passing from the boiler would have no effect by its pressure to alter any position which might be given to the valve2 and any slight inaccuracy of form which might give a tendency to the steam to alter the position would be easily counteracted by the friction of the valve upon its axle4 ,the latter might be regulated at pleasure4 ,by this expedient1 however the evaporation of water in the boiler might vary within practical limits1 the supply of steam to the cylinder would be rendered regular and uniform4 ,if the boiler became too active1 and produced more steam than was necessary to move the engine with its load at the requisite speed1 then the throttle-valve was shifted so as to contract the passage and limit the supply of steam4 ,if1 on the other hand1 the process of evaporation in the boiler was relaxed1 then the throttle-valve was placed with its edge more directed towards the steam4 ,independently of the boiler1 if the load on the engine was lightened1 then the same supply of steam to the cylinder would unduly accelerate the motion4 ,in this case1 likewise1 the partial closing of the throttle-valve would limit the supply of steam and regulate the motion2 and if1 on the other hand1 the increase of load upon the engine rendered necessary an increased supply of steam1 then the opening of the throttle-valve would accomplish the purpose4 ,by these means1 therefore1 a uniform motion might be maintained1 provided the vigilance of the engine-man was sufficient for the due management of the lever ,b ,c1 and provided that the furnace under the boiler was kept in sufficient activity to supply the greatest amount of steam which would be necessary ,pg#bji for the maintenance of a uniform motion with the throttle-valve fully opened4 7#abe47 ,watt1 however1 soon perceived that the proper manipulation of the lever ,b ,c would be impracticable with any degree of vigilance and skill which could be obtained from the persons employed to attend the engine4 ,he1 therefore1 adapted to this purpose a beautiful application of a piece of mechanism1 which had been previously used in the regulation of mill-work1 and which has since been well known by the name of the ,governor1 and has always been deservedly a subject of much admiration4 ,the governor is an apparatus by which the axle of the fly-wheel is made to regulate the throttle-valve1 so that the moment that the axle begins to increase its velocity1 it shifts the position of the throttle-valve1 so as to limit the supply of steam from the boiler1 and thereby to check the increase of speed4 ,and on the other hand1 whenever the velocity of the axle is diminished1 the lever ,b ,c is moved in the contrary direction1 so as to open more fully the passage for the steam1 and accelerate the motion of the engine4 ,a small grooved wheel ,a ,b 7fig4 #da47 is attached to a vertical spindle supported in pivots or sockets ,c and ,d1 in which it is capable of revolving4 ,an endless cord works in the groove ,a ,b1 and is carried over proper pulleys to the axle of the fly-wheel1 where it likewise works in a groove4 ,when this cord is properly tightened the motion of the fly-wheel will give motion to the wheel ,a ,b1 so that the velocity of the one will be subject to all the changes incidental to the velocity of the other4 ,by this means the speed of the grooved wheel ,a ,b may be considered as representing the speed of the fly-wheel1 and of the machinery which the axle of the fly-wheel drives4 ,illustration3 ,fig4 #da4 ,it is evident that the same end might be attained by substituting for the grooved wheel ,a ,b a toothed wheel1 which might be connected by other toothed wheels1 and proper shafts1 and axles with the axle of the fly-wheel4 ,a ring or collar ,e is placed on the upright spindle1 so as to be capable of moving freely upwards and downwards4 ,to this ring are attached by pivots two short levers1 ,e ,f1 the ,pg#baj pivots or joints at ,e allowing these levers to play upon them4 ,at ,f these levers are joined by pivots to other levers ,f ,g1 which cross each other at ,h1 where an axle or pin passes through them1 and attaches them to the upright spindle ,c ,d4 ,these intersecting levers are capable1 however1 of playing on this axle or pin ,h4 ,to the ends ,g of these levers are attached two heavy balls of metal ,i4 ,the levers ,f ,g pass through slits in a metallic arch attached to the upright spindle1 so as to be capable of revolving upon it4 ,if the balls ,i are drawn outwards from the vertical axis1 it is evident that the ends ,f of the levers will be drawn down1 and therefore the pivots ,e likewise drawn down4 ,in fact1 the angles ,e ,f ,h will become more acute1 and the angle ,f ,e ,f more obtuse4 ,by these means the sliding ring ,e will be drawn down4 ,to this sliding ring ,e1 and immediately above it1 is attached a grooved collar1 which slides on the vertical spindle upwards and downwards with the ring ,e4 ,in the grooved collar are inserted the prongs of a fork ,k1 formed at the end of the lever ,k ,l1 the fulcrum or pivot of the lever being at ,l4 ,by this arrangement1 when the divergence of the balls ,i causes the collar ,e to be drawn down1 the fork ,k1 whose prongs are inserted in the groove of that collar1 is likewise drawn down2 and1 on the other hand1 when1 by reason of the balls ,i falling towards the ,pg#baa vertical spindle1 the collar ,e is raised1 the fork ,k is likewise raised4 ,the ascent and descent of the fork ,k necessarily produce a contrary motion in the other end ,n of the lever4 ,this end is connected by a rod1 or system of rods1 with the end ,m of the short lever which works the throttle-valve ,t4 ,by such means the motion of the balls ,i1 towards or from the vertical spindle1 produces in the throttle-valve a corresponding motion2 and they are so connected that the divergence of the balls ,i will cause the throttle-valve to close1 while their descent towards the vertical spindle will cause it to open4 ,these arrangements being comprehended1 let us suppose that1 either by reason of a diminished load upon the engine or an increased activity of the boiler1 the speed has a tendency to increase4 ,this would impart increased velocity to the grooved wheel ,a ,b1 which would cause the balls ,i to revolve with an accelerated speed4 ,the centrifugal force which attends their motion would therefore give them a tendency to move from the axle1 or to diverge4 ,this would cause1 by the means already explained1 the throttle-valve ,t to be partially closed1 by which the supply of steam from the boiler to the cylinder would be diminished1 and the energy of the moving power1 therefore1 mitigated4 ,the undue increase of speed would thereby be prevented4 ,if1 on the other hand1 either by an increase of the load1 or a diminished activity in the boiler1 the speed of the machine was lessened1 a corresponding diminution of velocity would take place in the grooved wheel ,a ,b4 ,this would cause the balls ,i to revolve with less speed1 and the centrifugal force produced by their circular motion would be diminished4 ,this force being thus no longer able fully to counteract their gravity1 they would fall towards the spindle1 which would cause1 as already explained1 the throttle-valve to be more fully opened4 ,this would produce a more ample supply of steam to the cylinder1 by which the velocity of the machine would be restored to its proper amount4 ,illustration3 ,fig4 #db4 7#abf47 ,the principle which renders the governor so perfect a regulator of the velocity of the machine is difficult to be ,pg#bab explained without having recourse to the aid of the technical language of mathematical physics4 ,as1 however1 this instrument is of such great practical importance1 and has attracted such general admiration1 it may be worth while here to attempt to render intelligible the mechanical principles which govern its operation4 ,let ,s 7fig4 #db47 be the point of suspension of a common pendulum ,s ,p1 and let ,p ,o ,p be the arch of its vibration1 so that the ball ,p shall swing or vibrate alternately to the east and to the west of the lowest point ,o1 through the arches ,o ,p and ,o ,p4 ,it is a property of such an instrument that1 provided the arch in which it vibrates be not considerable in magnitude1 the time of its vibration will be the same whether the arch be long or short4 ,thus1 for example1 if the pendulum1 instead of vibrating in the arch ,p ,p1 vibrated in the arch p p1 the time which it would take to perform its vibrations would be the same4 ,if1 however1 the magnitude of the arch of vibration be increased1 then a variation will take place in the time of vibration2 but unless the arch of vibration be considerably increased1 this variation will not be great4 ,now let it be supposed that while the pendulum ,p ,p continues to vibrate east and west through the arch ,p ,p1 it shall receive such an impulse from north and south as would1 if it were not in a state of previous vibration1 cause it to vibrate between north and south1 in an arch similar to the arch ,p ,p4 ,this second vibration between north and south ,pg#bac would not prevent the continuance of the other vibration between east and west2 but the ball ,p would be at the same time affected by both vibrations4 ,while1 in virtue of the vibration from east to west1 the ball would swing from ,p to ,p1 it would1 in virtue of the other vibration1 extend its motion towards the north to a distance from the line ,w ,e equal to half a vibration1 and will return from that distance again to the position ,p4 ,while returning from ,p to ,p1 its second vibration will carry it towards the south to an equal distance on the southern side of ,w ,e1 and it will return again to the position ,p4 ,if the combination of these two motions or vibrations be attentively considered1 it will be perceived that the effect on the ball will be a circular motion1 precisely similar to the circular motion of the balls of the governor already described4 ,now the time of vibration of the pendulum ,s ,p between east and west will not in any way be affected by the second vibration1 which it is supposed to receive between north and south1 and therefore the time the pendulum takes in moving from ,p to ,p and back again from ,p to ,p will be the same whether it shall have simultaneously or not the other vibration between north and south4 ,hence it follows that the time of revolution of the circular pendulum will be equal to the time of similar vibrations of the same pendulum1 if1 instead of having a circular motion1 it were allowed to vibrate in the manner of a common pendulum4 ,if this point be understood1 and if it also be remembered that the time of vibration of a common pendulum is necessarily the same whether the arch of vibration be small or great1 it will be easily perceived that the revolving pendulum or governor will have nearly the same time of revolution whether it revolve in a large circle or a small one3 in other words1 whether the balls revolve at a greater or a less distance from the central spindle or axis4 ,this1 however1 is to be understood only approximately4 ,when the angle of divergence of the balls is as considerable as it usually is in governors1 the time of revolution at different distances from the axis will therefore be subject to some variation1 but to a very small one4 ,pg#bad ,the centrifugal force 7which is the name given in mechanics to that influence which makes a body revolving in a circle fly from the centre7 depends conjointly on the velocity of revolution1 and on the distance of the revolving body from the centre of the circle4 ,if the velocity of revolution be the same1 then the centrifugal force will increase in the same proportion as the distance of the revolving body from the centre4 ,if1 on the other hand1 the distance of the revolving body from the centre remain the same1 the centrifugal force will increase in the same proportion as the square of the time of vibration diminishes1 or1 in other words1 it will increase in the same proportion as the square of the number of revolutions per minute4 ,it follows from this1 therefore1 that the greater is the divergence of the balls of the governor1 and the more rapidly they revolve1 the greater will be their centrifugal force4 ,now this centrifugal force1 if it were not counterbalanced1 would give the balls a constant tendency to recede from the centre2 but from the construction of the apparatus1 the further they are removed from the centre the greater will be the effect of their gravitation in resisting the centrifugal force4 ,it is evident that the ball at ,p will have a greater tendency to fall by gravitation towards ,o than it would have at p1 because the acclivity of the arch descending towards ,o at ,p is greater than its acclivity at p4 ,the gravitation1 therefore1 or tendency of the ball to fall towards the central axis being greater at ,p than at p it will be able to resist a greater centrifugal force4 ,this increased centrifugal force1 which the ball would have revolving at the distance ,p above what it would have at the distance p1 is produced partly by the greater distance of the ball from the central axis1 and partly by the greater velocity of its motion4 ,but it will be evident that the time of its revolution may nevertheless be the same1 or nearly the same1 at both distances4 ,if it should appear that the actual velocity of its motion of revolution at ,p be greater than its velocity at p1 in the same proportion as the circles in which they revolve1 then it is evident that the time of revolution would be as much increased by the greater space which ,p will have to travel over1 as it will have to be ,pg#bae diminished by the greater speed with which that space is traversed4 ,the time of revolution1 therefore1 may be the same1 or nearly the same1 in both cases4 ,if this explanation be comprehended1 it will not be difficult to apply it to the actual case of the governor4 ,if a sudden increase of the energy of the moving power1 or a diminution of the load1 should give the machine an increased velocity1 then the increased speed of the balls of the governor will give them an increased centrifugal force1 which for the moment will be greater than the tendency of their gravitation to make them fall towards the vertical axis4 ,this centrifugal force1 therefore1 prevailing1 the balls will recede from the axis2 but as they recede1 their gravitation towards the vertical axis will1 as has been already explained1 be increased1 and will become equal to the centrifugal force produced by the increased velocity1 provided that velocity do not exceed a certain limit4 ,when the balls1 by diverging1 get such increased gravitation as to balance the centrifugal force1 then they will continue to revolve at a fixed distance from the vertical axis4 ,when this happens1 the time of the revolution must be nearly the same as it was before their increased divergence2 in other words1 the proportion of the moving power to the load will be so restored by the action of the levers of the governor on the throttle-valve that the machine will move at its former velocity1 or nearly so4 ,the principle on which the governor acts1 as just explained1 necessarily supposes temporary disarrangements of the speed4 ,in fact1 the governor1 strictly speaking1 does not maintain a uniform velocity1 but restores it after it has been disturbed4 ,when a sudden change of motion of the engine takes place1 the governor being immediately affected will cause a corresponding alteration in the throttle-valve2 and this will not merely correct the change of motion1 but it will1 as it were1 overdo it1 and will cause a derangement of speed of the opposite kind4 ,thus if the speed be suddenly increased to an undue amount1 then the governor being affected will first close the throttle-valve too much1 so as to reduce the speed below the proper limit4 ,this second error will again affect the governor in the contrary way1 and the speed ,pg#baf will again be increased rather too much4 ,in this way a succession of alterations of effect will ensue until the governor settles down into that position in which it will maintain the engine at the proper speed4 ,to prevent the inconvenience which would attend any excess of such variations1 the governor is made to act with great delicacy on the throttle-valve1 so that even a considerable change in the divergence of the balls shall not produce too much alteration in the opening of that valve3 the steam in the boiler should have at least #b lbs4 per square inch pressure more than is generally required in the cylinder4 ,this excess is necessary to afford scope for that extent of variation of the power which it is the duty of the throttle-valve to regulate4 ,the governor is usually so adjusted as to make thirty-six revolutions per minute1 when in uniform motion2 but if the motion is increased to the rate of thirty-nine revolutions1 the balls will fly to the utmost extent allowed them1 being the limitation of the grooves in which their rods move2 and if1 on the other hand1 the speed be diminished to thirty-four revolutions per minute1 they will collapse to the lowest extent of their play4 ,the duty of the governor1 therefore1 is to correct smaller casual derangements of the velocity2 but if any permanent change to a considerable extent be made either in the load driven by the machine or in the moving power supplied to it from the boiler1 then a permanent change is necessary to be made in the connection between the governor and the throttle-valve1 so as to render the governor capable of regulating those smaller changes to which the speed of the machine is liable4 7#abg47 ,having thus explained the principal mechanical contrivances provided by ,watt for the maintenance and regulation of the rotatory motion to be produced by his double-acting steam engine1 let us now consider the machine as a whole1 and investigate the process of its operation4 ,a section of this engine is represented in fig4 #dc4 ,illustration3 ,fig4 #dc4 ,steam is supplied from the boiler to the cylinder by the steam pipe ,s4 ,the throttle-valve ,t in that pipe1 near the cylinder1 is regulated by a system of levers connected with ,pg#bag the governor4 ,the piston ,p is accurately fitted in the steam cylinder ,c by packing1 as already described in the single-acting engine4 ,this piston1 as it moves1 divides the cylinder into two compartments1 between which there is no communication by which steam or any other elastic fluid can pass4 ,the upper steam box ,b is divided into three compartments by the two valves4 ,above the upper steam valve ,v is a compartment communicating with the steam pipe2 below the upper exhausting valve ,e is another compartment communicating with the eduction pipe which leads to the condenser4 ,by the valves ,v and ,e a communication may be opened or closed between the boiler on the one hand1 or the condenser on the other1 and the top of the cylinder4 ,the continuation ,s of the steam pipe leads to the lower box ,b1 which1 like the upper1 is divided into three compartments by two valves ,v and ,e4 ,the upper compartment communicates with the steam pipe1 and thereby with the boiler2 and the lower compartment communicates with the eduction pipe1 and thereby with the condenser4 ,by means of the two valves ,v and ,e1 a communication may be opened or closed between the steam pipe on the one hand1 or the exhausting pipe on the other1 and the lower part of the cylinder4 ,the four valves ,v1 ,e1 ,v1 and ,e are connected by a system of levers with a handle or spanner m1 which1 being driven downwards or upwards1 is capable of opening or closing the valves in pairs1 in the manner already described 7#aaf474 ,the condensers1 the air-pump1 and the hot-water pump1 are in all respects similar to those already described in the single-acting engine1 except that the condensing jet is governed by a lever ,i1 by which it is allowed to play continually in the condenser1 and by which the quantity of water admitted through it is regulated4 ,the cold-water pump ,n is worked by the engine as already described in the single-acting engine1 and supplies the cistern in which the air-pump and condenser are submerged1 so as to keep down its temperature to the proper limit4 ,on the air-pump rod ,r are two pins properly placed1 so as to strike the spanner m1 upwards and downwards1 at the proper times1 when the piston approaches the termination of the stroke at the top or bottom of the cylinder4 ,the pump ,l ,pg#bah conducts the warm water drawn by the air-pump from the condenser to a proper reservoir for feeding the boiler4 ,the vertical motion of the piston-rod in a straight line is rendered compatible with the circular motion of the end of the beam by the parallel motion already described4 ,the point b1 on the beam1 moves upwards and downwards in a circular arch1 of which the axis of the beam is the centre4 ,in like manner the point d of the rod d c moves upwards and downwards1 in a similar arch of which the fixed pivot c is the centre4 ,the joint or bar d b1 which joins these two pivots1 will be moved so that its middle point e will ascend and descend nearly in a straight line1 as has been already explained 7#abj472 ,pg#bai opposite this point e is attached the piston-rod of the air-pump1 which is accordingly guided upwards and downwards by this means4 ,the jointed parallelogram b d g f is attached to the beam by pivots2 and1 as has been explained 7#abj471 the point g will be moved upwards and downwards in a straight line1 through twice the space through which the point e is moved4 ,to the point g the rod of the steam piston is attached4 ,thus1 the rods of the steam piston and air-pump are moved by the same system of jointed bars1 and moved through spaces which are in the proportion of two to one4 ,although this system of jointed rods forming the parallel motion1 appears in the figure to consist only of one parallelogram b d g f1 and one rod c d1 called the radius rod1 it is1 in fact1 double1 a similar parallelogram and radius rod being attached to corresponding points1 and in the same manner on the other side of the beam2 but from the view given in the cut1 the one set of rods hides the other4 ,the two systems of rods thus attached to opposite sides of the beam at several inches asunder1 are connected by cross rods1 the ends of which form the pivots or joints1 and extend between the parallelograms4 ,the ends of these rods are only visible in the figure4 ,it is to the middle of one of these rods1 the end of which is represented at e1 that the air-pump piston-rod is attached2 and it is to the middle of another1 the end of which is represented at g1 that the steam piston-rod is attached4 ,these two piston-rods1 therefore1 are driven1 not immediately by either of the parallelograms forming the parallel motion1 but by the bars extending between them4 ,to the working end of the beam ,h is attached a rod of cast-iron ,o1 called the connecting rod1 the lower end of which is attached to the crank by a pivot4 ,the weight of the connecting rod is so made1 that it shall balance the weight of the piston-rods of the air-pump and cylinder on the other side of the beam2 and the weight of the piston-rod of the cold-water pump ,n nearly balances the weight of the piston-rod of the hot-water pump ,l4 ,thus1 so far as the weights of the machinery are concerned1 the engine is in equilibrium1 and the piston would rest in any position indifferently in the cylinder4 ,the axis of the fly-wheel on which the crank is formed is ,pg#bbj square in the middle part1 where the fly-wheel is attached to it1 but has cylindrical necks at each end1 which rest in sockets or bearings supported by the framing of the machine1 in which sockets the axis revolves freely4 ,on the axle of the crank is placed the fly-wheel1 and connected with its axle is the governor ,q1 which regulates the throttle-valve ,t in the manner already described4 ,let us now suppose the engine to be in full operation4 ,the piston being at the top of the cylinder1 the spanner m will be raised by the lower pin on the air-pump rod1 and the upper steam valve ,v1 and the lower exhausting valve ,e1 will be opened1 while the upper exhausting valve ,e and the lower steam valve ,v are closed4 ,steam will1 therefore1 be admitted above the piston1 and the steam which filled the cylinder below it will be drawn off to the condenser1 where it will be converted into water4 ,the piston will1 therefore1 be urged by the pressure of the steam above it to the bottom of the cylinder4 ,as it approaches that limit1 the spanner m will be struck downwards by the upper pin on the air-pump rod1 and the valves ,v and ,e will be closed1 and at the same time the lower steam valve ,v and the upper exhausting valve ,e will be opened4 ,steam will1 therefore1 be admitted below the piston1 while the steam above it will be drawn off into the condenser1 and converted into water4 ,the pressure of the steam1 therefore1 below the piston will urge it upwards1 and in the same manner the motion will be continued4 ,while this process is going on in the cylinder and the condenser1 the water formed in the condenser will be gradually drawn off by the operation of the air-pump piston1 in the same manner as explained in the single-acting engine2 and at the same time the hot water thrown into the hot well by the air-pump piston will be carried off by the hot-water pump ,l4 ,such are the chief circumstances attending the continuance of the operation of the double-acting engine4 ,it is only necessary here to recall what has been already explained respecting the operation of the fly-wheel4 ,the commencement of the motion of the piston from the top and bottom of the cylinder is produced1 not by the pressure of the steam upon it upwards or downwards1 which must1 for the reasons ,pg#bba already explained1 be entirely inefficient2 but by the momentum of the fly-wheel1 which extricates the crank from those positions in which the moving power cannot affect it4 ,the manner in which the motion of the crank affects the connecting rod at the dead points produces an effect of great importance in the operation of the engine4 ,when the crank-pin is approaching the lowest point of its play1 and therefore the piston approaching the top of the cylinder1 the motion of the crank-pin becomes nearly horizontal1 and consequently its effect in drawing the connecting rod and the working end of the beam downwards and the piston upwards1 is extremely small4 ,the consequence of this is1 that as the piston approaches the top of the cylinder1 its motion becomes very rapidly retarded2 and as the motion of the crank-pin at its lowest point is actually horizontal1 the piston is brought to a state of rest by this gradually retarded motion at the top of the cylinder4 ,in like manner1 when the crank-pin moves from its dead point upwards1 its motion at first is very nearly horizontal1 and consequently its effect in driving the working end of the beam upwards1 and the piston downwards1 is at first very small1 but gradually accelerated4 ,the effect of this upon the piston is1 that it arrives at and departs from the top of the stroke with a very slow motion1 being absolutely brought to rest at that point4 ,the same effect is produced when the piston arrives at the bottom of the cylinder4 ,this retardation and suspension of the motion of the piston at the termination of the stroke affords time for the process of condensation to be effected1 so that when the moving power of the steam upon the piston can come into action1 the condensation shall be sufficiently complete4 ,as the piston approaches the top of the cylinder1 and its motion becomes slow1 the working gear is made to open the lower exhausting valve2 the steam enclosed in the cylinder below the piston1 and which has just driven the piston upwards1 presses with an elastic force of #ag lbs4 per square inch on every part of the interior of the cylinder1 while the uncondensed vapour in the condenser presses with a force of about #b lbs4 per square inch4 ,the steam1 therefore1 will have a tendency to rush from the cylinder to the ,pg#bbb condenser through the open exhausting valve1 with an excess of pressure amounting to #ae lbs4 per square inch1 while the piston pauses at the top of the cylinder4 ,this process goes on1 and when the piston has descended by the motion of the fly-wheel1 a sufficient distance from the top of the cylinder to call the moving force of the steam into action1 the exhaustion will be complete1 and the pressure of the uncondensed vapour in the cylinder will become the same as in the condenser4 ,the pressure of steam in the cylinder1 and of uncondensed vapour in the condenser1 varies1 within certain limits1 in different engines1 and therefore the amount here assigned to them must be taken merely as an example4 ,the size of the valves by which the steam is allowed to pass from the cylinder to the condenser should be such as to cause the condensation to take place in a sufficiently short time1 to be completed when the steam impelling the piston is called into action4 ,watt1 in the construction of his engines1 made the exhaustion-valves with a diameter which was one fifth of the diameter of the cylinder1 and therefore the actual magnitude of the aperture for the escape of the steam was one twenty-fifth of the magnitude of the cylinder2 but the spindle of the valve diminished this so that the available space for the escape of steam did not exceed one twenty-seventh of the magnitude of the cylinder4 ,this was found to produce a sufficiently rapid condensation4 ,it was usual to make the steam valves of the same magnitude as the exhausting valves1 but the flow of steam through the former was resisted by the throttle-valve1 while no obstruction was opposed to its passage through the latter4 ,the rapidity with which the cylinder must be exhausted by the condenser will1 however1 depend upon the velocity with which the piston is moved in it4 ,the magnitude1 therefore1 of the exhausting valves which would be sufficient for an engine which acts with a slow motion would be too small where a rapid motion is required4 ,in the single-acting steam engine1 where the moving force always acted downwards on the piston1 the pressure upon ,pg#bbc all the joints of the machinery by which the force of the piston was conveyed to the working parts1 always took place in the same direction1 and consequently whatever might be the mechanical connection by which the several joints were formed1 the pins by which they were connected1 must always come to a bearing in their respective sockets1 however loosely they may have been fitted4 ,for the same reason1 however1 that the arch head and chain were abandoned as a means of connecting the steam piston with the beam1 and the parallel motion substituted1 it was also necessary in the double-acting engine1 where all joints whatever were driven alternately in opposite directions1 to fit the connecting pins with the greatest accuracy in their sockets1 and to abandon all connection of the parts by chains4 ,if any sensible looseness was left in the joints1 a violent jerk would be produced every time the motion of the piston was reversed4 ,any looseness either in the pivots or joints of the parallel motion of the working beam1 the connecting rod1 or crank1 would1 at every change of stroke1 be so accumulated as to produce upon the machinery the effects of percussion1 and would consequently be attended with the danger of straining and breaking the moveable parts of the mechanism4 ,to secure1 therefore1 the necessary accuracy of the joints1 ,watt contrived that every joint in the engine should admit of the size of the socket being exactly adapted to the size of the pin1 so as always to make a good fitting by closing the socket upon the pin1 when any looseness would be produced by wear4 ,with this view1 all the joints were fitted with sockets made of brass or gun-metal1 capable of adjustment4 ,each socket was composed of two pieces1 accurately fitted into a cell or groove1 in which one of the brasses can be moved towards the other by means of a wedge or screw4 ,each brass has in it a semi-cylindrical cavity1 and the two cavities being opposed to each other1 form a socket for the joint-pin4 ,one of the two brasses can always be tightened round that pin1 so as to enclose it tight between the two semi-cylindrical cavities1 and to prevent any looseness taking place4 ,the brasses1 and other parts of such a joint1 are represented ,pg#bbd in fig4 #dd4 ,these joints still continue to be used in the engines as now constructed4 ,illustration3 ,fig4 #dd4 ,the motion of the working beam1 and the pump-rods which it drives1 and of the connecting rod1 ought1 if the whole were constructed with perfect precision1 to take place in the same or parallel vertical planes2 but this supposes a perfection of execution which could hardly have been expected in the early manufacture of such engines1 whatever may have been attained by improvements which have been since made4 ,in the details of construction1 ,watt saw that there would be a liability to lateral strain1 owing to the planes of the different motions not being truly vertical and truly parallel1 and that if a provision were not made for such lateral motion1 the machinery would be subject to constant strain in its joints and rapid wear4 ,he provided against this by constructing the main joints by which the great working lever was connected with the pistons and connecting rod1 so as to form universal joints1 giving freedom of motion laterally as well as vertically4 ,the great lever1 or working beam1 was so called from being originally made from a beam of oak4 ,it is now1 however1 universally constructed of cast-iron4 ,the connecting rod is also made of cast-iron1 and attached to the beam and to the crank by axles or pivots4 ,the mechanism by which the four valves are opened and closed1 is subject to considerable variation in different engines4 ,they have been described above as being opened and closed simultaneously by a single lever4 ,sometimes1 however1 they are opened alternately in pairs by two distinct levers driven by two pins attached to the air-pump rod4 ,one pin strikes the lever1 which opens and closes the upper steam valve1 and lower exhausting valve2 the other strikes that which opens and closes the lower steam valve and upper exhausting valve4 ,since the date of the earlier double-acting engines1 constructed by ,boulton and ,watt1 a great variety of mechanical expedients have been practised for working the valves1 by which the steam is admitted to and withdrawn from the ,pg#bbe cylinder4 ,we shall here describe a few of these methods3-- 7#abh47 ,the method of working the valves by pins on the air-pump rod driving levers connected with the valves has been1 in almost all modern double-acting machines1 superseded by an apparatus called an eccentric1 by which the motion of the axle of the fly-wheel is made to open and close the valves at the proper times4 ,illustration3 ,fig4 #de4 ,an eccentric is a metallic circle attached to a revolving axle1 so that the centre of the circle shall not coincide with the centre round which the axle revolves4 ,let us suppose that ,g 7fig4 #de471 is a square revolving shaft4 ,let a circular plate of metal ,b ,d1 having its centre at ,c1 have a square hole cut in it1 corresponding to the shaft ,g1 and let the shaft ,g pass through this square aperture1 so that the circular plate ,b ,d shall be fastened upon the shaft1 and capable of revolving with it as the shaft revolves4 ,the centre ,c of the circular plate ,b ,d will be carried round the centre ,g of the revolving shaft1 and will describe round it a circle1 the radius of which will be the distance of the centre ,c of the circular plate from the centre of the shaft4 ,such circular plate so placed upon a shaft1 and revolving with it1 is an eccentric4 ,let ,e ,f be a metallic ring1 formed of two semicircles of metal screwed together at ,h1 so as to be capable1 by the adjustment of the screws1 of having the circular aperture formed by the ring enlarged and diminished within certain ,pg#bbf small limits4 ,let this circular aperture be supposed to be equal to the magnitude of the eccentric ,b ,d4 ,to the circular ring ,e ,f let an arm ,l ,m be attached4 ,if the ring ,e ,f be placed around the eccentric ,b ,d1 and that the screws ,h be so adjusted as to allow the eccentric ,b ,d to revolve within the ring ,e ,f1 then while the eccentric revolves1 the ring not partaking of its revolution1 the arm ,l ,m will be alternately driven to the right and to the left1 by the motion of the centre ,c of the eccentric as it revolves round the centre ,g of the axle4 ,when the centre ,c of the eccentric is in the same horizontal line with the centre ,g1 and to the left of it1 then the position of ,l ,m will be that which is represented in fig4 #de42 but when1 after half a revolution of the main axle1 the centre ,c of the eccentric is thrown on the other side of the centre ,g1 then the point ,m will be transferred to the right1 to a distance equal to twice the distance ,c ,g4 ,thus as the eccentric ,b ,d revolves within the ring ,e ,f1 that ring1 together with the arm ,l ,m1 will be alternately driven1 right and left1 through a space equal to twice the distance between the centre of the eccentric and the centre of the revolving shaft4 ,if we suppose a notch formed at the extremity of the arm ,l ,m1 which is capable of embracing a lever ,n ,m1 moveable on a pivot at ,n1 the motion of the eccentric would give to such a lever an alternate motion from right to left1 and vice vers4 ,if we suppose another lever ,n ,o connected with ,n ,m1 and at right angles to it1 forming what is called a bell-crank1 then the alternate motion received by ,m1 from right to left1 would give a corresponding motion to the extremity ,o of the lever ,n ,o1 upwards and downwards4 ,if this last point ,o were attached to a vertical arm or shaft1 it would impart to such arm or shaft an alternate motion upwards and downwards1 the extent of which would be regulated by the length of the levers respectively4 ,by such a contrivance the revolution of the fly-wheel shaft is made to give an alternate vertical motion of any required extent to a vertical shaft placed near the cylinder1 which may be so connected with the valves as to open and close them4 ,since the upward and downward motion of this vertical shaft is governed by the alternate motion of the centre ,pg#bbg ,c to the right and to the left of the centre ,g1 it is evident that by the adjustment of the eccentric upon the fly-wheel shaft1 the valves may be opened and closed at any required position of the fly-wheel and crank1 and therefore at any required position of the piston in the cylinder4 ,such is the contrivance by which the valves1 whatever form may be given to them1 are now almost universally worked in double-acting steam engines4 99 99 99 99 99 ,having described the general structure and operation of the steam engine as improved by ,watt1 we shall now explain1 in a more detailed manner1 some parts of its machinery which have been variously constructed1 and in which more or less improvements have been made4 ,,of ,,the ,,cocks ,,and ,,valves4 7#abi47 ,in the steam engine1 as well as in every other machine in which fluids act1 it is necessary to open or close1 occasionally1 the tubes or passages through which these fluids move4 ,the instruments by which this is accomplished are called cocks or valves4 ,cocks or valves may be classified by the manner in which they are opened3 #ast1 they may be opened by a motion similar to the lid of a box upon its hinges2 #b;d1 they may be opened by being raised directly upwards1 in the same manner as the lid of a pot or kettle2 #c;d1 they may be opened by a sliding motion1 like that of the sash of a window or the lid of a box which slides in grooves2 #dth1 they may be opened by a motion of revolution1 in the same manner as the cock of a beer-barrel is opened or closed4 ,the term valve is more properly applied to the first and second of these classes2 the third class are usually called slides1 and the fourth cocks4 7#acj47 ,the single clack valve is the most simple example of the first class4 ,it is usually constructed by attaching to a plate of metal larger than the aperture which the valve is intended to stop1 a piece of leather1 and to the under side of this leather another piece of metal smaller than the aperture4 ,the leather ,pg#bbh extending on one side beyond the larger metallic plate1 and being flexible1 forms the hinge on which the valve plays4 ,such a valve is usually closed by its own weight1 and opened by the pressure of the fluid which passes through it4 ,it is also held closed more firmly by the pressure of the fluid whose return it is intended to obstruct4 ,an example of this valve occurs in the steam engine1 in the passage between the condenser and the air-pump4 ,the aperture which it stops is there a seat inclined at an angle whose inclination is such as to render the weight of the valve sufficient to close it4 ,in cases where the valve is exposed to heat1 as in the example just mentioned1 where it is continually in contact with the hot water flowing from the condenser to the air-pump1 the use of leather is inadmissible1 and in that case the metallic surface of the valve is ground smooth to fit its seat4 ,the extent to which such a valve should be capable of opening1 ought to be such that the aperture produced by it shall be equal to the aperture which it stops4 ,this will be effected if the angle through which it rises be about #cj4 ,illustration3 ,fig4 #df4 ,the valve by which the air and water collected in the bottom of the air-pump are admitted to pass through the air-pump piston is a double clack1 consisting of two semicircular plates1 having the hinges on the diameters of these semicircles1 as represented in fig4 #df4 7#aca47 ,of the valves which are opened by a motion perpendicular to their seat1 the most simple is a flat metallic plate1 made larger than the orifice which it is intended to stop1 and ground so as to rest in steam-tight contact with the surface surrounding the aperture4 ,such a valve is usually guided in its perpendicular motion by a spindle passing through its centre1 and sliding in holes made in cross bars extending above and below the seat of the valve4 ,the conical steam-valves1 which have been already described 7#aaf471 usually called spindle-valves1 are the most common of this class4 ,the best angle to be given to the conical seat is found in practice to be #de4 ,with a less inclination the valve has a tendency to be fastened in its seat1 and a greater inclination would cause the top of the valve to occupy ,pg#bbi unnecessary space in the valve-box4 ,the area1 or transverse section of the valve-box1 should be rather more than double the magnitude of the upper surface of the valve1 in order to allow a sufficiently free passage for the steam1 and the play of the valve should be such as to allow it to rise from its seat to a height not less than one fourth of the diameter of its upper surface4 ,the valves coming under this class are sometimes formed as spheres or hemispheres resting in a conical seat1 and in such cases they are generally closed by their own weight1 and opened by the pressure of the fluid which passes through them4 7#acb47 ,one of the advantages attending the use of slides1 compared with the other form of valves1 is the simplicity with which the same slide may be made to govern several passages1 so that a single motion with a slide may perform the office of two or more motions imparted to independent valves4 ,in most modern engines the passage of the steam to and from the cylinder is governed by slides of various forms1 some of which we shall now explain4 ,illustration3 ,fig4 #dg4 7#acc47 ,in figs4 #dg4 and #dh4 is represented a slide-valve contrived by ,mr4 ,murray of ,leeds4 ,a ,b is a steam-tight case attached to the side of the cylinder2 ,e ,f is a rod1 which receives an alternate motion1 upwards and downwards1 from the eccentric1 or from whatever other part of the engine is intended to move the slide4 ,this rod1 passing through a stuffing-box1 moves the slide ,g upwards and downwards4 ,s is the mouth of the steam pipe coming from the boiler2 ,t is the mouth of a tube or pipe leading to the condenser2 ,h is a passage leading to the top1 and ,i to the bottom1 of the cylinder4 ,in the position of the slide represented in fig4 #dg41 the steam coming from the boiler through ,s passes through the space ,h to the top of the cylinder1 while the steam from the bottom of the cylinder passes through the space ,i into the tube ,t1 and goes to the condenser4 ,when the rod ,pg#bcj ,e ,f is raised to the position represented in fig4 #dh41 then the passage ,h is thrown into communication with the tube ,t1 while the passage ,i is made to communicate with the tube ,s4 ,steam1 therefore1 passes from the boiler through ,i below the piston1 while the steam which was above the piston1 passing through ,h into ,t1 goes to the condenser4 ,thus the single slide ,g performs the office of the four valves described in 7#aaf474 ,illustration3 ,fig4 #dh4 7#acd47 ,the slide ,g has always steam of a full pressure behind it1 while the steam in front of it escaping to the condenser1 exerts but little pressure upon it4 ,it is therefore always forcibly pressed against the surfaces in contact with which it moves1 and is thereby maintained steam-tight4 ,indeed this pressure would rapidly wear the rubbing surfaces1 unless they were made sufficiently extensive1 and hardened so as to resist the effects of the friction4 ,where fresh water is used1 as in land boilers1 the slide may be made of hardened steel2 and in the case of marine boilers1 it may be constructed of gun-metal4 ,in this and all other contrivances in which the apertures by which the steam is admitted to and withdrawn from the piston are removed to any considerable distance from the top and bottom of the cylinder1 there is a waste of steam1 for the steam consumed at each stroke of the piston is not only that which would fill the capacity of the cylinder1 but also the steam which fills the passage between the slide ,g and the top or bottom of the cylinder4 ,any arrangement which would throw the passages ,h and ,i on the other side of the slide ,g1 that is1 between ,s and ,g1 instead of being1 as they are1 between ,g and the top and bottom of the cylinder1 would remove this defect4 ,this is accomplished by a slide1 which is usually called the ,d valve1 because1 being semi-cylindrical in its form1 and hollow1 its cross section resembles the letter ,d4 ,this slide1 which is that which at present is in most general use1 is represented in figs4 #di1 #ej42 ,e is the rod by which the slide is moved1 passing ,pg#bca through a stuffing-box ,f2 ,g ,g is the slide represented by a vertical section1 a a being a passage in it extending from the top to the bottom2 ,s is the mouth of the great steam pipe coming from the boiler2 ,p is the pipe leading to the condenser2 ,t ,h is a hollow space formed in the slide always in communication with the steam pipe ,s1 and consequently always filled with steam from the boiler4 ,a transverse section of the slide and cylinder is represented in fig4 #ea41 where a represents the top of the passage marked a in fig4 #di4 ,in the position of the slide represented in fig4 #di41 the steam filling the space ,t ,h has access to the top of the cylinder1 but is excluded from the bottom4 ,the steam which was below the piston1 passing up the passage a1 escapes through the tube ,p to the condenser4 ,when the piston has descended1 the rod ,e moves the slide downwards1 so as to give it the position represented in ,,fig4 #ej4 ,the steam in ,t ,h has now access to the bottom of the cylinder1 while the steam above the piston passing through ,p escapes to the condenser4 ,in this way the operation of the piston is continued and the steam consumed at each stroke only exceeds the capacity of the cylinder by what is necessary to fill the passages between the slide and the cylinder4 ,illustration3 ,fig4 #di4 ,illustration3 ,fig4 #ej4 ,illustration3 ,fig4 #ea4 ,in a slide constructed in this manner1 the steam filling the space ,t ,h has a tendency to press the slide back1 so as to break the contact of the rubbing surfaces1 and thereby to cause the steam to leak from the space ,t ,h to the back of the slide4 ,this is counteracted by the packing x1 at the back of the slide4 ,in engines of very long stroke1 the extent of the rubbing surfaces of slides of this kind renders it difficult to keep ,pg#bcb them in steam-tight contact and to insure their uniform wear4 ,in such cases1 therefore1 separate slides1 upon the same principle1 are provided at the top and bottom of the cylinder1 moved1 however1 by a single rod of communication4 7#ace47 ,in slides1 as we have here described them1 the same motion which admits steam to either end of the cylinder1 withdraws it from the other end4 ,such an arrangement is only compatible with the operation of a cylinder which works without expansion2 for in such a cylinder the full flow of steam to the piston is only interrupted for a moment during the change of position of the slide4 ,but if the steam act expansively1 it would be necessary to move the slide1 so as to stop its flow to one end of the cylinder1 without at the same time obstructing the escape of steam from the other end to the condenser4 ,it would therefore be necessary that the slide should close the passage leading to the cylinder at one end1 without at the same time obstructing the communication between the passage from the cylinder to the condenser at the other end4 ,on the arrival of the piston1 however1 at the bottom of the cylinder1 it would be necessary immediately to put the lower passage to the cylinder in communication with the steam pipe1 and the upper passage in communication with the condenser4 ,this would necessarily suppose two motions of the slide as well as some modifications in its length4 ,let the length of the slide be such that when the passage to the top of the cylinder is stopped1 the lower part of the slide shall not reach the passage to the lower part of the cylinder2 and let such a provision be made in the mechanism by which the rod ,e governing the slide is driven that it shall receive two motions during the descent of the piston1 the first to be imparted to it at the moment the steam is to be cut off1 and the second just before the termination of the stroke4 ,let the position of the slide1 at the commencement of the stroke1 be represented in fig4 #eb41 and let it be required that the steam shall be cut off at one half of the stroke4 ,when the piston has made half the stroke1 the rod governing the slide is moved downwards1 so as to throw the slide into the position represented in fig4 #ec4 ,the passage between the steam pipe and the cylinder is ,pg#bcc now stopped at both ends2 but the passage from the bottom of the cylinder to the condenser remains open4 ,during the remainder of the stroke1 therefore1 the steam in the cylinder works expansively4 ,as the piston approaches the bottom of the cylinder1 another motion is imparted to the rod governing the slide1 by which the latter is thrown into the position represented in fig4 #ed4 ,steam now flows below the piston while the steam above it passes to the condenser4 ,in a similar manner1 by two motions successively imparted to the slide during the ascent of the piston1 the steam may be cut off at half stroke2 and it is evident that by regulating the time at which these motions are given to the slide1 the steam may be worked expansively1 to any required extent4 ,illustration3 ,fig4 #eb4 ,illustration3 ,fig4 #ec4 ,illustration3 ,fig4 #ed4 ,it is easy to conceive various mechanical means by which1 in the same engine1 the point at which the steam is cut off may be regulated at pleasure4 ,in cases where the motion of the piston is very rapid1 as in locomotive engines1 it is desirable that the passages to and from the cylinder should be opened very suddenly4 ,this is difficult to be accomplished with any form of slide consisting of a single aperture2 but if1 instead of admitting the steam to the cylinder by a single aperture1 the same magnitude of opening were divided among several apertures1 then a proportionally less extent of motion in the slide would clear the passage for the steam1 and consequently greater suddenness of opening would be effected4 ,pg#bcd ,the great advantages in the economy of fuel resulting from the application of the expansive principle have1 of late years forced themselves on the attention of engineers1 and considerable improvements have been made in its application1 especially in the case of marine engines used for long voyages1 in which the economy of fuel has become an object of the last importance4 ,the mechanism by which expansive slides are moved1 is made capable of adjustment1 so that the part of the stroke at which the steam is cut off1 can be altered at pleasure4 ,the working power of the engine1 therefore1 instead of being controlled by the throttle-valve1 is regulated by the greater or less extent to which the expansive principle is applied4 ,steam of the same pressure is admitted to the cylinder in all cases2 but it is cut off at a greater or less portion of the stroke1 according to the power which the engine is required to exert4 ,the last degree of perfection has been conferred on this principle by connecting the governor with the mechanism by which the slide is moved1 so that the governor instead of acting on the throttle-valve1 is made to act upon the slide4 ,by this means when1 by reason of any diminution of the resistance1 the motion of the engine is accelerated1 the balls of the governor diverging shift the cam or lever which governs the slide1 so that the steam is cut off after a shorter portion of the stroke1 the expansive principle is brought into greater play1 and the quantity of steam admitted to the cylinder at each stroke is diminished4 ,if1 on the other hand1 the resistance to the machine be increased1 so as to diminish the velocity of the engine1 then the balls collapsing the levers of the governor shift the cam which moves the slides1 so as to increase the portion of the stroke made by the piston before the steam is cut off1 and thereby to increase the amount of mechanical power developed in the cylinder at each stroke4 ,the extent to which the expansive principle is capable of being applied1 more especially in marine engines1 has been hitherto limited by the necessity of using steam of very high pressure1 whenever the steam is cut off after the piston has performed only a small part of the stroke4 ,a method1 however1 is now 7,march1 #ahdj7 under experimental trial1 by ,pg#bce ,messrs4 ,maudsley and ,field1 by which the expansive principle may be applied to any required extent without raising the steam in the boiler above the usual pressure of from three to five pounds per square inch4 ,this method consists in the use of a piston of great magnitude4 ,the force urging the piston is thus obtained not by an excessive pressure on a limited surface1 but by a moderate pressure diffused over a large surface4 ,the entire moving force acting on the piston before the steam is cut off1 is considerably greater than the resistance2 but during the remainder of the stroke this force is gradually enfeebled until the piston is brought to the extremity of its play4 ,illustration3 ,fig4 #ee4 7#acf47 ,mr4 ,samuel ,seaward1 of the firm of ,messrs4 ,seawards1 engineers1 has contrived an improved system of slides1 for which he has obtained a patent4 ,a section of ,seaward's slides is represented in fig4 #ee4 ,the steam pipe proceeding from the boiler to the cylinder is represented at ,a ,a1 and it communicates with passages ,s and ,s leading to the top and bottom of the cylinder4 ,these passages are formed in nozzles of iron or other hard metal cast upon the side of the cylinder4 ,these nozzles present a smooth face outwards1 upon which the slides ,b ,b1 also formed with smooth faces1 play4 ,the slides ,b ,b are attached by knuckle-joints to rods ,e ,e1 which move through stuffing-boxes1 and the ,pg#bcf connection of these rods with the slides is such that the slides have play so as to detach their surfaces easily from the smooth surfaces of the nozzles when not pressed against these surfaces4 ,the steam in the steam pipe ,a ,a will press against the backs of the slides ,b ,b1 and keep their faces in steam-tight contact with the smooth surfaces of the nozzles4 ,these slides may be opened or closed by proper mechanism at any point of the stroke4 ,when steam is to be admitted to the top of the cylinder1 the upper slide is raised and the passage ,s opened2 and when it is to be admitted to the bottom of the cylinder1 the lower slide is raised and the passage ,s opened2 and its communication to the top or bottom of the cylinder is stopped by the lowering of these slides respectively4 ,on the other side of the cylinder are provided two passages ,c ,c leading to a pipe ,g1 which is continued to the condenser4 ,on this pipe are cast nozzles of iron or other metal presenting smooth faces towards the cylinder1 and having passages ,d ,d communicating between the top and bottom of the cylinder respectively and the pipe ,g ,g leading to the condenser4 ,two slides b b'1 having smooth faces turned from the cylinder1 and pressing upon the faces of the nozzles ,d ,d1 are governed by rods playing through stuffing-boxes1 in the same manner as already described4 ,the faces of these slides being turned from the cylinder1 the steam in the cylinder having free communication with them1 has a tendency to keep them by its pressure in steam-tight contact with the surfaces in which the apertures leading to the condenser are formed4 ,these two slides may be opened or closed whenever it is necessary4 ,when the piston commences its descent1 the upper steam slide is raised1 so as to open the passage ,s1 and admit steam above the piston2 and the lower exhausting slide b is also raised1 so as to allow the steam below the piston to escape through ,g to the condenser1 the other two passages ,s and ,c being closed by their respective slides4 ,the slide which governs ,s is lowered at that part of the stroke at which the steam is intended to be cut off1 the other slides remaining unchanged2 and when the piston has reached the bottom of the cylinder1 the lower steam slide opens the passage ,s1 and ,pg#bcg the upper exhausting slide opens the passage ,c2 and at the same time the lower exhausting slide closes the passage ,c4 ,steam being admitted below the piston through ,s1 and at the same time the steam above it being drawn away to the condenser through the open passage ,c and the tube ,g1 the piston ascends4 ,when it has reached that point at which the steam is intended to be cut off1 the slide which governs ,s is lowered1 the other slides remaining unaltered1 and the upward stroke is completed in the same manner as the downward4 ,these four slides may be governed by a single lever1 or they may be moved by separate means4 ,from the small spaces between the several slides and the body of the cylinder1 it will be evident that the waste of steam by this contrivance will be very small4 ,in the slide valves commonly used1 the packing of hemp at the back of the slide1 by which the pressure necessary to keep the slide in steam-tight contact is obtained1 requires constant attention from the engine-man while the engine is at work4 ,any neglect of this will produce a corresponding loss in the power of the engine2 and accordingly it is found that in many cases where engines work inefficiently1 the defect is owing either to ignorance or want of attention on the part of the engine-man in the packing of the slides4 ,in ,seaward's slides no hemp packing is used1 nor is any attention on the part of the engine-man required after the slides are first adjusted4 ,the slides receive the pressure necessary to keep them in steam-tight contact with the surfaces of the nozzles from the steam itself1 which acts behind them4 ,the eduction and steam slides being independent of each other1 they may be adjusted so that the engine shall work expansively in any required degree2 and this may be accomplished either by working the slides by separate mechanism1 or by a single eccentric4 ,one of the advantages claimed by the patentees for these slides is1 that the engines are secured from the accidents which arise from the accumulation of water within the steam cylinder4 ,if such a circumstance should occur1 the action of the piston will press the water against the faces of the steam ,pg#bch slides1 and the play allowed to them by their connection with the rods which move them permits their faces to be raised from the surfaces of the nozzles1 so that the water collected in the cylinder shall be driven into the steam pipe1 and sent back from thence to the boiler4 ,illustration3 ,fig4 #ef4 ,illustration3 ,fig4 #eg4 ,illustration3 ,fig4 #eh4 7#acg47 ,of the cocks or valves which are opened and closed by the motion of an axis passing through their centre1 the throttle-valve1 whether worked by hand or by the governor1 is an example4 ,but the most common form for cocks is that of a cylindrical or slightly conical plug 7fig4 #ef471 inserted in an aperture of corresponding magnitude passing across the pipe or passage which the cock is intended to open or close4 ,one or more holes are pierced transversely in the cock1 and when the cock is turned so that these holes run in the direction of the tube1 the passage through the tube is opened2 but when the passage through the cock is placed at right angles to the tube1 then the sides of the tube stop the ends of the passage in the cock1 and the passage through the tube is obstructed4 ,the simple cock is designed to open or close the passage through a single tube4 ,when the cock is turned1 as in fig4 #eg41 so that the passage through the cock shall be at right angles to the length of the tube1 then the passage through the tube is stopped2 but when the cock is turned from that position through a quarter of a revolution1 as in fig4 #eh41 then the passage through the cock takes the direction of the passage through the tube1 and the cock is opened1 and the passage through the tube unobstructed4 ,in such a cock the passage may be more or less throttled by ,pg#bci adjusting the position of the cock1 so that a part of the opening in it shall be covered by the side of the tube4 7#ach47 ,it is sometimes required to put one tube or passage alternately in communication with two others4 ,this is accomplished by a two-way cock4 ,in this cock the passage is curved1 opening usually at points on the surface of the cock1 at right angles to each other4 ,such a cock has already been described1 and its use illustrated in the description of the ,marquis of ,worcester's engine 7#ag472 the two-way cock1 as represented at ,k and ,r 7fig4 #d471 being the means by which steam and water are alternately supplied to the two forcing vessels4 ,illustration3 ,fig4 #ei4 ,illustration3 ,fig4 #fj4 7#aci47 ,when it is required to put four passages alternately in communication by pairs1 a four-way cock is used4 ,such a cock has two curved passages 7fig4 #ei471 each similar to the curved passage in the two-way cock4 ,let ,s ,c ,b ,t be the four tubes which it is required to throw alternately into communication by pairs4 ,when the cock is in the position fig4 #ei41 the tube ,s communicates with ,t1 and the tube ,c with ,b4 ,by turning the cock through a quarter of a revolution1 as in fig4 #fj41 the tube ,s is made to communicate with ,b1 and the tube ,c with ,t2 and if the cock continue to be turned at intervals through a quarter of a revolution1 these changes of communication will continue to be alternately made4 ,it is evident that this may be accomplished by turning the cock continually in the same direction4 ,the four-way cock is sometimes used as a substitute for the valves or slides in a double-acting steam engine to conduct the steam to and from the cylinder4 ,if ,s represent a pipe conducting steam from the boiler1 ,c that which leads to the condenser1 ,t the tube which leads to the top of the cylinder1 and ,b that which leads to the bottom1 then when the cock is in the position 7fig4 #ei471 steam would flow from the boiler to ,pg#bdj the top of the piston1 while the steam below it would be drawn off to the condenser2 and in the position 7fig4 #fj471 steam would flow from the boiler to the bottom of the piston1 while the steam above it would be drawn off to the condenser4 ,thus by turning the cock through a quarter of a revolution towards the termination of each stroke1 the operation of the machine would be continued4 ,one of the disadvantages which is inseparable from the use of a four-way cock for this purpose is the loss of the steam at each stroke1 which fills the tubes between the cock and the ends of the cylinder4 ,this disadvantage could only be avoided by the substitution of two two-way cocks 7#ach47 instead of a four-way cock4 ,a two-way cock at the top of the cylinder would open an alternate communication between the cylinder and steam pipe1 and the cylinder and condenser1 while a similar office would be performed by another two-way cock at the other end4 ,the friction on cocks of this description is more than on other valves2 but this is in some degree compensated by the great simplicity of the instrument4 ,when the cock is truly ground into its seat1 being slightly conical in its form1 the pressure of the steam has a tendency to keep the surfaces in contact2 but this pressure also increases the friction1 and has a tendency to wear the seat of the cock into an elliptical shape4 ,consequently1 such cocks require to be occasionally ground and refitted4 7#adj47 ,the four-way cock1 as above described1 admits the steam to one end of the piston at the same moment that it stops it at the other end4 ,it would therefore be inapplicable where steam is worked expansively4 ,a slight modification1 however1 analogous to that already described in the slides1 will adapt it to expansive action4 ,this will be accomplished by giving to one of the passages through the cock one aperture larger than the other1 and working the cock so that this passage shall always be used to conduct steam to the cylinder2 also by enlarging both apertures of the other passage1 and using it always to conduct steam from the cylinder4 ,the effect of such an arrangement will be readily understood4 ,illustration3 ,fig4 #fa4 ,illustration3 ,fig4 #fb4 ,illustration3 ,fig4 #fc4 ,illustration3 ,fig4 #fd4 ,let the position of the cock at the commencement of the ,pg#bda descending stroke be represented in fig4 #fa4 ,steam flows from ,s through ,t to the top of the cylinder1 while it escapes from ,b through ,c from the bottom of the cylinder4 ,when the piston has arrived at that point at which the steam is to be cut off1 let the cock be shifted to the position represented in fig4 #fb4 ,the passage of steam from the boiler is now stopped1 but the escape of steam from the bottom of the cylinder through ,c continues1 and the cock is maintained in this position until the piston approaches the bottom of the cylinder1 when it is further shifted to the position represented in fig4 #fc4 ,steam now flows from ,s through ,b to the bottom of the cylinder1 while the steam from the top of the cylinder escapes through ,c to the condenser4 ,when the piston has arrived at that point where the steam is to be cut off1 the cock is shifted to the position represented in fig4 #fd4 ,the communication between the steam and the bottom of the piston is now stopped1 while the communication between the top of the cylinder and the condenser is still open4 ,during the next double stroke of the piston the position of the cock is similarly changed1 but in the contrary direction1 and in the same way the motion is continued4 ,under these circumstances the cock1 instead ,pg#bdb of being moved constantly in the same direction1 as in the case of the common four-way cock1 will require to be moved alternately in opposite directions4 ,,pistons4 7#ada47 ,the office of a piston being to divide a cylinder into two compartments by a movable partition which shall obstruct the passage of any fluid from one compartment to the other1 it is evident that the two conditions which such an instrument ought to fulfil are1 first1 that the contact of its sides with the surface of the cylinder shall be so close and tight throughout its entire play that no steam or other fluid can pass between them2 secondly1 that it shall be so free from friction1 notwithstanding this necessary tightness1 that it shall not absorb any injurious quantity of the moving power4 ,since1 however accurately the surfaces of the piston and cylinder may be constructed1 there will always be in practice more or less imperfection of form1 it is evident that the contact of the surface of the piston with the cylinder throughout the stroke can only be maintained by giving to the circumference of the piston sufficient elasticity to accommodate itself to such inequalities of form4 ,the substance1 whatever it may be1 used for this purpose1 and by which the piston is surrounded1 is called packing4 ,in steam pistons the material used for packing must be such as is capable of resisting the united effects of heat and moisture4 ,hence leather and other animal substances are inapplicable4 ,the packing used for steam pistons is therefore of two kinds1 vegetable packing1 usually hemp1 or metallic packing4 ,the common hemp-packed piston has been already in part described 7#gi474 ,the bottom of the piston is a circular plate just so much less in diameter than the cylinder as is sufficient to allow its free motion in ascending and descending4 ,a little above its lowest point this plate begins gradually to diminish in thickness1 until its diameter is reduced to from one to two inches less than that of the cylinder1 leaving therefore around ,pg#bdc it a hollow space1 as represented in fig4 #fe4 ,the cover of the piston is a plate similarly formed1 being in like manner gradually reduced in thickness downwards1 so as to correspond with the lower plate4 ,in the hollow space which thus surrounds the piston a packing of unspun hemp or soft rope1 called gasket1 is introduced by winding it round the piston so as to render it an even and compact mass4 ,when the space is thus filled up1 the top of the piston is attached to the bottom by screws4 ,the curved form of the space within which the hempen packing is confined is such that when the screws are tightened1 that part of the packing which is nearest to the top and bottom of the piston is forced against the cylinder1 so as to produce upon the two parallel rings as much pressure as is necessary to render it steam-tight4 ,when by use the packing is worn down so as to produce leakage1 the cover of the cylinder must be removed1 and the screws connecting the top and bottom of the piston tightened3 this will force out the packing and render the piston steam-tight4 ,this packing is lubricated by melted tallow let down upon the piston from the funnel inserted in the top of the cylinder1 furnished with a stop-cock to prevent the escape of steam4 ,the lower end of the piston-rod is formed slightly conical1 the thickest part of the cone being downward4 ,it is passed up through the piston1 and a nut or wedge between the top and bottom is inserted so as to secure the piston in its position upon the rod4 ,illustration3 ,fig4 #fe4 ,the process of removing the top of the cylinder for the purpose of tightening the screws in the piston is one of so laborious a nature1 that the men entrusted with the superintendence of these machines are tempted to allow the engine to work notwithstanding injurious leakage at the piston1 rather than incur the labour of tightening the screws as often as it is necessary to do so4 ,to avoid this inconvenience1 the following method of ,pg#bdd tightening the packing of the piston without removing the lid of the cylinder1 was contrived by ,woolf4 ,the head of each of the screws was formed into a toothed pinion1 and as these screws were placed at equal distances from the centre of the piston1 these several pinions were driven by a large toothed wheel1 revolving on the piston-rod as an axis4 ,by such an arrangement it is evident that if any one of the screws be turned1 a like motion will be imparted to all the others through the medium of the large central wheel4 ,woolf accordingly formed1 on the head of one of the screws1 a square end4 ,when the piston was brought to the top of the cylinder1 this square end entered an aperture made in the under side of the cover of the cylinder4 ,this aperture was covered by a small circular piece screwed into the top of the cylinder1 which was capable of being removed so as to render the square head of the screw accessible4 ,when this was done1 a proper key being applied to the square head of the screw1 it was turned2 and by being turned1 all the other screws were in like manner moved4 ,in this way1 instead of having to remove the cover of the cylinder1 which in large cylinders was attended with great labour and loss of time1 the packing was tightened by merely unscrewing a piece in the top of the cylinder not much greater in magnitude than the head of one of the screws4 ,this method was further simplified by causing the great circular wheel already described to move upon the piston-rod1 not as an axis1 but as a screw1 the thread being cut upon a part of the piston-rod which worked in a corresponding female screw cut upon the central plate4 ,by such means1 the screw whose head was let into the cover of the cylinder which turned1 would cause this circular plate to be pressed downwards by the force of the screw constructed on the piston-rod4 ,this circular plate thus pressed downwards1 acted upon pins or plugs which pressed together the top and bottom of the cylinder in the same manner as they were pressed together by the screws connecting them as already described4 ,,metallic ,,pistons4 7#adb47 ,the notion of constructing a piston so as to move steam-tight in the cylinder without the use of packing of vegetable ,pg#bde matter was first suggested by the ,rev4 ,mr4 ,cartwright1 a gentleman well known for other mechanical inventions4 ,a patent was granted in #agig for a new form of steam engine1 in which he proposed to use the vapour of alcohol to work the piston instead of the steam of water3 and since the principle of the engine excluded the use of lubrication by oil or tallow1 he substituted a piston formed of metallic rings pressed against the surface of the cylinder by springs1 so as to be maintained in steam-tight contact with it1 independently either of packing or lubrication4 ,although the engine for which this form of piston was intended never came into practical use1 yet it is so simple and elegant in its structure1 and forms a link so interesting in the history of the steam engine1 that some explanation of it ought not to be omitted in this work4 ,the steam-pipe from the boiler is represented cut off at ,b 7fig4 #ff472 ,t is a spindle-valve1 for admitting steam above the piston1 and ,r is a spindle-valve in the piston2 ,d is a curved pipe forming a communication between the cylinder and the condenser1 which is of very peculiar construction4 ,cartwright proposed effecting a condensation without a jet1 by exposing the steam to contact with a very large quantity of cold surface4 ,for this purpose1 he formed his condenser by placing two cylinders nearly equal in size1 one within the other1 allowing the water of the cold cistern in which they were placed to flow through the inner cylinder1 and to surround the outer one4 ,thus1 the thin space between the two cylinders formed the condenser4 ,illustration3 ,fig4 #ff4 ,the air-pump is placed immediately under the cylinder1 and the continuation of the piston-rod works its piston1 which is solid and without a valve4 ,f is the pipe from the condenser to the air-pump1 through which the condensed steam is drawn off through the valve ,g on the ascent of the piston1 and on the descent this is forced through a tube into a hot well ,h1 for the purpose of feeding the boiler through the feed-pipe ,i4 ,in the top of the hot well ,h is a valve which opens inwards1 and is kept closed by a ball floating on the surface of the liquid4 ,the pressure of the condensed air above the surface of the liquid in ,h forces it through ,i into the boiler4 ,when the air accumulates in too great a degree ,pg#bdf in ,h1 the surface of the liquid is pressed so low that the ball falls and opens the valve1 and allows it to escape4 ,the air in ,h is that which is pumped from the condenser with the liquid1 and from which it was disengaged4 ,let us suppose the piston at the top of the cylinder3 it strikes the tail of the valve ,t1 and raises it1 while the stem of the piston-valve ,r strikes the top of the cylinder1 and is pressed into its seat4 ,a free communication is at the same time open between the cylinder1 below the piston and the condenser1 through the tube ,d4 ,the pressure of the steam ,pg#bdg thus admitted above the piston acting against the vacuum below it1 will cause its descent4 ,on arriving at the bottom of the cylinder1 the tail of the piston-valve ,r will strike the bottom1 and it will be lifted from its seat1 so that a communication will be opened through it with the condenser4 ,at the same moment1 a projecting spring ,k1 attached to the piston-rod1 strikes the stem of the steam-valve ,t1 and presses it into its seat4 ,thus while the further admission of steam is cut off1 the steam above the piston flows into the condenser1 and the piston being relieved from all pressure1 is drawn up by the momentum of the fly-wheel1 which continues the motion it received from the descending force4 ,on the arrival of the piston again at the top of the cylinder1 the valve ,t is opened and ,r closed1 and the piston descends as before1 and so the process is continued4 ,the mechanism by which motion is communicated from the piston to the fly-wheel is peculiarly elegant4 ,on the axis of the fly-wheel is a small wheel with teeth1 which work in the teeth of another larger wheel ,l4 ,this wheel is turned by a crank1 which is worked by a cross-piece attached to the end of the piston-rod4 ,another equal-toothed wheel ,m is turned by a crank1 which is worked by the other end of the cross-arm attached to the piston-rod4 ,one of the peculiarities of this engine is1 that the liquid which is used for the production of steam in the boiler circulates through the machine without either diminution or admixture with any other fluid1 so that the boiler never wants more feeding than what can be supplied from the hot well ,h4 ,this circumstance forms an important feature in the machine1 as it allows of ardent spirits being used in the boiler instead of water1 which1 since they boil at low heats1 promised a saving of fuel4 ,the inventor proposed that the engine should be used as a still1 as well as a mechanical power1 in which case the whole of the fuel would be saved4 ,illustration3 ,fig4 #fg4 ,illustration3 ,fig4 #fh4 7#adc47 ,that part of ,cartwright's piston which in the common piston is occupied by the packing of gasket1 already explained 7#ada471 was filled by a number of rings1 one placed within and above another1 and divided into three or four ,pg#bdh segments4 ,two rings of brass were made of the full size of the cylinder1 and so ground as to fit the cylinder nearly steam-tight4 ,these were cut into several segments ,a ,a ,a 7fig4 #fg471 and were placed one above the other1 so as to fill the space between the top and bottom plates of the piston4 ,the divisions of the segments of the one ring were made to fit between the divisions of the other4 ,within these another series of rings1 ,b ,b ,b1 were placed1 similarly constructed1 so as to fit within the first series in the same manner as the first series were made to fit within the cylinder4 ,the joints of the upper series of each set of rings are exhibited in the plan 7fig4 #fg472 the places of the joints of the lower series are shown by dotted lines2 the position of the rings of each series one above the other is shown in the section 7fig4 #fh474 ,the joints of the inner series of rings are so placed as to lie between those of the outer series1 to prevent the escape of steam which would take place by one continued joint from top to bottom of the packing4 ,the segments into which the rings are divided are pressed outwards by steel springs in the form of the letter ,v1 the springs which act upon the outer series of segments abutting upon the inner series1 and those which act on the inner series abutting upon the solid centre of the piston3 these springs are represented in fig4 #fg4 ,illustration3 ,fig4 #fi4 ,illustration3 ,fig4 #gj4 7#add47 ,an improved form was given to the metallic piston by ,barton4 ,barton's piston consists of a solid cylinder of cast iron1 represented at ,a in section in fig4 #fi41 and in plan in ,pg#bdi fig4 #gj4 ,in the centre of this is a conical hole1 increasing in magnitude downwards1 to receive the piston-rod1 in which the latter is secured by a cross-pin ,b4 ,a deep groove1 square in its section1 is formed around the piston1 so that while the top and bottom of the piston form circles equal in magnitude to the section of the cylinder1 the intermediate part of the body of the piston forms a circle less than the former by the depth of the groove4 ,let a ring of brass1 cast iron1 or cast steel1 be made to correspond in magnitude and form with this groove1 and let it be divided as represented in fig4 #gj41 into four segments ,c ,c ,c ,c1 and four corresponding angular pieces ,d ,d ,d ,d4 ,let the groove which surrounds the piston be filled by the four segments with the four wedge-like angular pieces within them1 and let the latter be urged against the former by eight spiral springs1 as represented in fig4 #fi4 and fig4 #gj4 ,these springs will abut against the solid centre by the piston1 and will urge the segments ,c against the cylinder4 ,the spiral springs which urge the wedges are confined in their action by steel pins which pass through their centre1 and by being ,pg#bej confined in cylindrical cavities worked into the wedges and into corresponding parts of the solid centre of the piston1 as the segments ,c wear1 the springs urge the wedges outwards1 and the points of the latter protruding1 are gradually worn down so as to fill up the spaces left between the segments1 and thus to complete the outer surface of the piston4 ,various other forms of metallic pistons have been proposed1 but as they do not differ materially in principle from those we have just described1 it will not be necessary here to describe them4 ,illustration3 ,,engine ,,at ,,the ,,city ,,saw ,,mills4 ,pg#bea ,illustration3 ,,furnace ,,at ,,the ,,city ,,saw ,,mills4 ,,chap4 ,,ix4 ,,constituents ,,of ,,coal4 -- ,,process ,,of ,,combustion4 -- ,,heat ,,evolved ,,in ,,it4 -- ,,form ,,and ,,structure ,,of ,,boiler4 -- ,,waggon ,,boiler4 -- ,,furnace4 -- ,,method ,,of ,,feeding ,,it4 -- ,,combustion ,,of ,,gas ,,in ,,flues4 -- ,,construction ,,of ,,grate ,,and ,,ash-,,pit4 -- ,,magnitude ,,of ,,heating ,,surface ,,of ,,boiler4 -- ,,steam-,,space ,,and ,,water-,,space ,,in ,,boiler4 -- ,,position ,,of ,,flues4 -- ,,method ,,of ,,feeding ,,boiler4 -- ,,level ,,gauges4 -- ,,self-,,regulating ,,feeders4 -- ,,steam-,,gauge4 -- ,,barometer-,,gauge4 -- ,,indicator4 -- ,,counter4 -- ,,safety-,,valve4 -- ,,fusible ,,plugs4 -- ,,self-,,regulating ,,damper4 -- ,,self-,,regulating ,,furnace4 -- ,,power ,,and ,,duty ,,of ,,engines4 -- ,,horse-,,power ,,of ,,steam ,,engines4 -- ,,evaporation ,,proportional ,,to ,,horse-,,power4 -- ,,sources ,,of ,,loss ,,of ,,power4 -- ,,absence ,,of ,,good ,,practical ,,rules ,,for ,,power4 -- ,,common ,,rules ,,followed ,,by ,,engine ,,makers4 -- ,,duty ,,distinguished ,,from ,,power4 -- ,,duty ,,of ,,boilers4 -- ,,proportion ,,of ,,stroke ,,to ,,diameter ,,of ,,cylinder4 -- ,,duty ,,of ,,engines4 -- ,,cornish ,,system ,,of ,,inspection4 -- ,,its ,,good ,,effects4 -- ,,historical ,,detail ,,of ,,the ,,duty ,,of ,,cornish ,,engines4 7#ade47 ,the machinery which has been explained in the preceding chapters1 consisting of the cylinder with its passages and valves1 the piston-rod1 parallel motion1 beam1 connecting-rod and crank1 together with the condenser1 air-pump1 and other appendages1 having no source of moving power in themselves1 must be regarded as mere instruments by which the mechanical effect developed by the furnace and the boiler is transmitted to the working point and so ,pg#beb modified as to be adapted to the uses to which the machine is applied4 ,the boiler is at once a magazine in which the moving power is stored in sufficient quantity to supply the demands of the engine and an apparatus in which that power is fabricated4 ,the mechanical effect evolved in the conversion of water into steam by heat1 is the process by which the power of the steam-engine is produced1 and space is provided in the boiler1 capacious enough to contain as much steam as is necessary for the engine1 besides a sufficient quantity of water to continue that supply undiminished1 notwithstanding the constant drafts made upon it by the cylinder3 even the water itself1 from the evaporation of which the mechanical power is produced1 ought to be regarded as an instrument by which the effect of the heat of the combustible is rendered mechanically efficient1 inasmuch as the same heat1 applied not only to other liquids but even to solids1 would likewise be productive of mechanical effects4 ,the boiler and its furnace are therefore parts of the steam-engine1 the construction and operation of which are entitled to especial attention4 7#adf47 ,,coal1 the combustible almost universally used in steam-engines1 is a substance1 the principal constituents of which are carbon and hydrogen1 occasionally mixed with sulphur in a small proportion1 and earthy incombustible matter4 ,in different sorts of coal the proportions of these constituents vary1 but in coal of good quality about three quarters of the whole weight of the combustible is carbon4 ,when carbon is heated to a temperature of about #gjj in an atmosphere of pure oxygen1 it will combine chemically with that gas1 and the product will be the gas called carbonic acid4 ,the volume of carbonic acid produced by this combination1 will be exactly equal to that of the oxygen combined with the carbon1 and therefore the weight of a given volume of the gas will be increased by the weight of carbon which enters the combination4 ,it is found that two parts by weight of oxygen combined with three of carbon1 form carbonic acid4 ,the weight of the carbonic acid1 therefore1 produced in the combustion1 will be greater than the weight of the oxygen1 bulk for bulk1 in the proportion of five to two1 the volume being the same and the gases being ,pg#bec compared at the same temperatures and under equal pressures4 ,in this combination heat is evolved in very large quantities4 ,this effect arises from the heat previously latent in the carbon and oxygen being rendered sensible in the process of combustion4 ,the carbonic acid proceeding from the combustion is by such means raised to a very high temperature1 and the carbon during the process acquires a heat so intense as to become luminous2 no flame1 however1 is produced4 ,hydrogen1 heated to a temperature of about #ajjj1 in contact with oxygen will combine with the latter1 and a great evolution of heat will attend the process2 the gases will be rendered luminous1 and flame will be produced4 ,the product of this process will be water1 which being exposed to the intense heat of combustion1 will be immediately converted into steam4 ,hydrogen combines with eight times its own weight of oxygen1 producing nine times its own weight of water4 ,hydrogen gas is1 however1 not usually disengaged from coal in a simple form1 but combined chemically with a certain portion of carbon1 the combination being called carburetted hydrogen4 ,pure hydrogen burns with a very faintly luminous blue flame1 but carburetted hydrogen gives that bright flame occasionally having an orange or reddish tinge1 which is seen to issue from burning coals3 this is the gas used for illumination1 being expelled from the coal by the process of coking1 and conducted to the various burners through proper pipes4 ,the sulphur1 which in a very small proportion is contained in coals1 is also combustible1 and combines in the process of combustion with oxygen1 forming sulphurous acid3 it is also sometimes evolved in combination with hydrogen1 forming sulphuretted hydrogen4 ,atmospheric air consists of two gases1 azote and oxygen1 mixed together in the proportion of four to one2 five cubic feet of atmospheric air consisting of four cubic feet of azote and one of oxygen4 ,any combustible will combine with the oxygen contained in atmospheric air1 if raised to a temperature somewhat higher than that which is necessary to cause its combustion in an atmosphere of pure oxygen4 ,if coals1 therefore1 or other fuel exposed to atmospheric ,pg#bed air1 be raised to a sufficiently high temperature1 their combustible constituents will combine with the oxygen of the atmospheric air1 and all the phenomena of combustion will ensue4 ,in order1 however1 that the combustion should be continued1 and should be carried on with quickness and activity1 it is necessary that the carbonic acid1 and other products1 should be removed from the combustible as they are produced1 and fresh portions of atmospheric air brought into contact with it2 otherwise the combustible would soon be surrounded by an atmosphere composed chiefly of carbonic acid to the exclusion of atmospheric air1 and therefore of uncombined oxygen1 and consequently the combustion would cease1 and the fuel be extinguished4 ,to maintain the combustion1 therefore1 a current of atmospheric air must be constantly carried through the fuel3 the quantity and force of this current must depend on the quantity and quality of the fuel to be consumed4 ,it must be such that it shall supply sufficient oxygen to the fuel to maintain the combustion1 and not more than sufficient1 since any excess would be attended with the effect of absorbing the heat of combustion1 without contributing to the maintenance of that effect4 ,heat is communicated from body to body in two ways1 by radiation and by contact4 ,rays of heat issue from a heated body1 and are dispersed through the surrounding space in a manner1 and according to laws1 similar to those which govern the radiation of light4 ,the heat thus radiated meeting other bodies is imparted to them1 and penetrates them with more or less facility according to their physical qualities4 ,a heated body also brought into contact with another body of lower temperature1 communicates heat to that other body1 and will continue to do so until the temperature of the two bodies in contact shall be equalised4 ,heat proceeds from fuel in a state of combustion in both these ways3 the heated fuel radiates heat in all directions around it1 and the heat thus radiated will be imparted to all parts of the furnace which are exposed to the fuel4 ,the gases1 which are the products of the combustion1 escape from the fuel at a very high temperature1 and consequently1 in acquiring that temperature they absorb a considerable ,pg#bee quantity of the heat of combustion4 ,but besides the gases actually formed in the process of combustion1 the azote forming four fifths of the air carried through the fuel to support the combustion1 absorbs heat from the combustible1 and rises into the upper part of the furnace at a high temperature4 ,these various gases1 if conducted directly to the chimney1 would carry off with them a considerable quantity of the heat4 ,provision should therefore be made to keep them in contact with the boiler such a length of time as will enable them to impart such a portion of the heat which they have absorbed from the fuel1 as will still leave them at a temperature sufficient1 and not more than sufficient1 to produce the necessary draft in the chimney4 7#adg47 ,the forms of boiler which have been proposed as the most convenient for the attainment of all these requisite purposes have been very various4 ,if strength alone were considered1 the spherical form would be the best2 and the early boilers were very nearly hemispheres1 placed on a slightly concave base4 ,the form adopted by ,watt1 called the waggon boiler1 consists of a semi-cylindrical top1 flat perpendicular sides1 flat ends1 and a slightly concave bottom4 ,the steam intended to be used in boilers of this description did not exceed the pressure of the external atmosphere by more than from #c to #e lbs4 per square inch2 and the flat sides and ends1 though unfavourable to strength1 could be constructed sufficiently strong for this purpose4 ,in a boiler of this sort1 the air and smoke passing through the flues that are carried round it1 are in contact at one side only with the boiler4 ,the brickwork1 or other materials forming the flue1 must therefore be non-conductors of heat1 that they may not absorb any considerable portion of heat from the air passing in contact with them4 ,a boiler of this form is represented in fig4 #ga4 ,the grate and a part of the flues are rendered visible by the removal of a portion of the surrounding masonry in which the boiler is set4 ,the interior of the boiler is also shown by cutting off one half of the semi-cylindrical roof4 ,a longitudinal vertical section is shown in fig4 #gb41 and a cross section in fig4 #gc4 ,a horizontal section taken above the level of the grate1 and below the level of the water in the boiler1 showing ,pg#bef the course of the flues1 is given in fig4 #gd4 ,the corresponding parts in all the figures are marked by the same letters4 ,illustration3 ,fig4 #ga4 ,the door by which fuel is introduced upon the grate is represented at ,a1 and the door leading to the ash-pit at ,b4 ,the fire bars at ,c slope downwards from the front at an angle of about #be1 giving a tendency to the fuel to move from the front towards the back of the grate4 ,the ash-pit ,d is constructed of such a magnitude1 form1 and depth1 as to admit a current of atmospheric air to the grate-bars1 sufficient to sustain the combustion4 ,the form of the ash-pit is usually wide below1 contracting towards the top4 ,illustration3 ,fig4 #gb4 ,the fuel when introduced at the fire-door ,a1 should be laid on that part of the grate nearest to the fire-door1 called the dead plates3 there it is submitted to the process of coking1 by which the gases and volatile matter which it contains are expelled1 and being carried by a current of air1 admitted ,pg#beg through small apertures in the fire-door over the burning fuel in the hinder part of the grate1 they are burnt4 ,when the fuel in front of the grate has been thus coked1 it is pushed back1 and a fresh feed introduced in front4 ,the coal thus pushed back soon becomes vividly ignited1 and by continuing this process1 the fuel spread over the grate is maintained in the most active state of combustion at the hinder part of the grate4 ,by such an arrangement1 the smoke produced by the combustion of the fuel may be burnt before it enters the flues4 ,the flame and heated air proceeding from the burning fuel arising from the grate1 and rushing towards the back of the furnace1 passes over the fire-bridge ,e1 and is carried through the flue ,f which passes under the boiler4 ,this flue 7the cross section of which is shown in fig4 #gc41 by the dark shade put under the boiler7 is very nearly equal in width to the bottom of the boiler1 the space at the bottom of the boiler1 near the corners1 being only what is sufficient to give the weight of the boiler support on the masonry forming the ,pg#beh sides of the flue4 ,the bottom of the boiler being concave1 the flame and heated air as they pass along the flue rise to the upper part by the effects of their high temperature1 and lick the bottom of the boiler from the fire-bridge at ,e to the further end ,g4 ,illustration3 ,fig4 #gc4 ,illustration3 ,fig4 #gd4 ,at ,g the flue rises to ,h1 and turning to the side of the boiler at ,i ,i1 conducts the flame in contact with the side from the back to the front2 it then passes through the flue ,k across the front1 and returns to the back by the other side ,pg#bei flue ,l4 ,the side flue is represented1 stripped of the masonry1 in fig4 #ga41 and also appears in the plan in fig4 #gd41 and in the cross section in fig4 #gc4 ,the course of the air is represented in fig4 #gd4 by the arrows4 ,from the flue ,l the air is conducted into the chimney at ,m4 ,by such an arrangement1 the flame and heated air proceeding from the grate are made to circulate round the boiler1 and the length and magnitude of the flues through which it is conducted should be such1 that when it shall arrive at the chimney its temperature shall be reduced1 as nearly as is consistent with the maintenance of draught in the chimney1 to the temperature of the water with which it is in contact4 ,the method of feeding the furnace1 which has been described above1 is one which1 if conducted with skill and care1 would produce a much more perfect combustion of the fuel than would attend the common method of filling the grate from the back to the front with fresh fuel1 whenever the furnace is fed4 ,this method1 however1 is rarely observed in the management of the furnace4 ,it requires the constant attention of the stokers 7such is the name given to those who feed the furnaces74 ,the fuel must be supplied1 not in large quantities1 and at distant intervals1 but in small quantities and more frequently4 ,on the other hand1 the more common practice is to allow the fuel on the grate to be in a great degree burned away1 and then to heap on a large quantity of fresh fuel1 covering over with it the burning fuel from the back to the front of the grate4 ,when this is done1 the heat of the ignited coal acting upon the fresh fuel introduced1 expels the gases combined with it and1 mixed with these1 a quantity of carbon1 in a state of minute division1 forming an opaque black smoke4 ,this is carried through the flues and drawn up the chimney4 ,the consequence is1 that not only a quantity of solid fuel is sent out of the chimney unconsumed1 but the hydrogen and other gases also escape unburned1 and a proportional waste of the combustible is produced2 besides which1 the nuisance of an atmosphere filled with smoke ensues4 ,such effects are visible to all who observe the chimneys of steam-vessels1 while the engine is in operation4 ,when the furnaces are thus filled with fresh fuel1 a large volume of ,pg#bfj dense black smoke is observed to issue from the chimney4 ,this gradually subsides as the fuel on the grate is ignited1 and does not reappear until a fresh feed is introduced4 ,this method of feeding1 by which the furnace would be made to consume its own smoke1 and the combustion of the fuel be rendered complete1 is not however free from counteracting effects4 ,in ordinary furnaces the feed can only be introduced by opening the fire-doors1 and during the time the fire-doors are opened a volume of cold air rushes in1 which passing through the furnace is carried through the flues to the chimney4 ,such is the effect of this in lowering the temperature of the flues1 that in many cases the loss of heat occasioned is greater than any economy of fuel obtained by the complete consumption of smoke4 ,various methods1 however1 may be adopted by which fuel may be supplied to the grate without opening the fire-doors1 and without disturbing the supply of air to the fire4 ,a hopper built into the front of the furnace1 with a moveable bottom or valve1 by which coals may be allowed to drop in from time to time upon the front of the grate1 would accomplish this4 7#adh47 ,in order to secure the combustion of the gases evolved from the coals placed in the front of the grate1 it is necessary that a supply of atmospheric air should be admitted with them over the burning fuel4 ,this is effected by small apertures or regulators1 provided in the fire-doors1 governed by sliding-plates1 by which they may be opened or closed to any required extent4 ,a patent has recently been granted to ,mr4 ,williams1 one of the directors of the ,city of ,dublin ,steam ,navigation ,company1 for a method of consuming the unburned gases which escape from the grate1 and are carried through the flues4 ,this method consists in introducing into the flue tubes placed in a vertical position1 the lower ends of which being inserted in the bottom of the flue are made to communicate with the ash-pit1 and the upper ends of which are closed4 ,the sides and tops of these tubes are pierced with small holes1 through which atmospheric air drawn from the ash-pit issues in jets4 ,the oxygen supplied by this air immediately combines with the carburetted hydrogen1 which ,pg#bfa having escaped from the furnace unburned is carried through the flues at a sufficient temperature to enter into combination with the oxygen admitted through holes in the tubes4 ,a number of jets of flame thus proceed from these holes1 having an appearance similar to the flame of a gas-lamp4 ,it is evident that such tubes must be inefficient unless they are placed in the flues so near the furnace1 that the temperature of the unburned gases shall be sufficiently high to produce their combustion4 7#adi47 ,the magnitude of the grate and ash-pit must be determined by the rate at which the evaporation is required to be conducted in the boiler and the quality of the fuel4 ,it must be a matter of regret1 that the proportions of the various parts of steam-engines1 with their boilers and furnaces1 have not been determined by any exact or satisfactory experiments2 and those who project and manufacture the engines themselves1 are not less in ignorance on those points than others4 ,with coals of the common quality a certain average proportion must exist between the necessary magnitude of the grate-surface and the quantity of water to be evaporated in a given time in the boiler4 ,but what that proportion is for any given quality of fuel1 is at present unascertained4 ,each engine-maker follows his own rule1 and the rule thus followed is in most cases a matter of bare conjecture1 unsupported by any experimental evidence4 ,some engine-makers will allow a square foot of grate-surface for every cubic foot of water per hour1 which is expected to be evaporated in the boiler2 others allow only half a square foot3 and practice varies between these limits4 ,bituminous coals which melt and cake1 and which burn with much flame and smoke1 must be spread more thinly on the grate than other descriptions of fuel1 otherwise a considerable quantity of combustible gases would be dismissed into the flues unburnt4 ,such coals therefore1 other circumstances being the same1 require a larger portion of grate-surface2 and the same may be said of coals which produce clinkers in their combustion1 and form lumps of vitrified matter on the grate1 by which the spaces between the grate-bars are speedily closed up4 ,when such fuel is used1 the grate-bars require to be frequently raked ,pg#bfb out1 otherwise the spaces between them being obstructed1 the draught would become insufficient for the due combustion of the fuel4 ,to facilitate the raking out of the grate1 the bars are placed with their ends towards the fire-door3 they are usually made of cast-iron1 from two to two inches and a half wide on the upper surface1 with intervals of nearly half an inch between them4 ,the bars taper downwards1 their under surfaces being much narrower than their upper1 the spaces between them thus widening1 to facilitate the fall of the ashes between them4 ,the grate-bars slope downwards from the front to the back4 ,the height of the centre of the bottom of the boiler1 above the front of the grate1 is usually about two feet1 and about three feet above the back of it4 ,the concave bottom of the boiler1 however1 brings its surfaces at the slide closer to the grate4 7#aej47 ,between the evaporating power of the boiler1 and the magnitude of surface it exposes to the action of the furnace1 there is a relation which1 like that of the grate surface1 has never been ascertained by any certain or satisfactory experimental investigation2 much less have the different degrees of efficiency attending different parts of the boiler-surface been determined4 ,that part of the surface of the boiler immediately over and around the grate1 is exposed to the immediate radiation of the burning fuel1 and is therefore probably the most efficient in the production of steam4 ,the tendency of flame and heated air to rise1 would naturally bring them in the flues into closer contact with those parts of the boiler-surface which are horizontal in their position1 and which form the tops of the flues1 than with those which are lateral or vertical in their position1 and which form the sides of the flues4 ,in a boiler constructed like that already described1 the flue-surface therefore1 which would be most efficient1 would be the concave bottom of the boiler extending from the fire-bridge to its remote end4 ,in some boilers1 especially those in which steam of high pressure is produced1 the form is cylindrical1 the middle flue being formed into an elliptical tube the greater axis of which is horizontal from end to end of the boiler4 ,it seems doubtful1 however1 ,pg#bfc whether in such a boiler the heat produces any useful effect on the water below the flue1 the water above being always at a higher temperature1 and therefore lighter than that below1 and consequently no currents being established between the upper and lower strata of the water4 ,it was considered by ,mr4 ,watt1 but we are not aware on what experimental grounds1 that from eight to ten square feet of heating surface were sufficient to produce the evaporation of one cubic foot of water per hour4 ,the practice of engine-makers since that time has been to increase the allowance of heating surface for the same rate of evaporation4 ,engine-builders have varied very much in this respect1 some allowing twelve1 fifteen1 and even eighteen square feet of surface for the same rate of evaporation4 ,it must1 however1 still be borne in mind1 that whether this increased allowance did or did not produce the actual evaporation imputed to it1 has not been1 as far as we are informed1 ever accurately ascertained4 ,the production of a given rate of evaporation by a moderate heat diffused over a larger surface1 rather than by a fiercer temperature confined to a smaller surface1 is attended with many practical advantages4 ,the plates of the boiler acted upon by the fire are less exposed to oxydisation1 and the boiler will be proportionally more durable4 7#aea47 ,besides presenting to the action of the fire a sufficient surface to produce steam at the required rate1 the capacity of the boiler must be proportioned to the quantity of water to be evaporated4 ,the space within the boiler is appropriated to a twofold purpose3 #ast1 ,to contain the water to be evaporated2 #b;dly1 ,to contain a quantity of ready made steam for the supply of the cylinder4 ,if the space appropriated to the steam did not bear a considerable proportion to the magnitude of the cylinder1 the momentary expansion of the steam passing to the cylinder from the boiler at each stroke would reduce the pressure of the steam in a great proportion1 and unless the pressure in the boiler were considerably greater than that which the steam is intended to have in the cylinder1 the pressure in the latter would be reduced below the proper amount4 ,the proportion of the ,pg#bfd steam space in the boiler to the magnitude of the cylinder has been very variously estimated1 nor can it be said that any practical rule of a general kind has been adopted4 ,it is held by some that the steam-space will be sufficient if it contain five times the quantity of steam consumed at each stroke1 while others maintain that it should contain at least ten times that quantity1 and opinions vary between these limits4 7#aeb47 ,the proportion of water-space in the boiler to its evaporating power should also be regulated1 so that the introduction of the feed at a comparatively low temperature may not unduly chill the water in the boiler4 ,supposing the feed to be introduced in a low pressure boiler at the temperature of #ajj1 and that the necessary temperature within the boiler be #bbe1 the quantity of water it contains should be about five times the quantity evaporated1 and therefore also five times the quantity introduced through the feed per hour4 ,for every cubic foot of water per hour therefore1 intended to be evaporated by the boiler1 water-space for five cubic feet should be provided4 ,it is1 however1 right to repeat that this 7like almost every other so called rule7 is the result not of any exact general calculation1 but one deduced from the custom which has obtained among the manufacturers of steam-engines4 7#aec47 ,the surface of the water in the boiler should always be above the range of the flues4 ,when the heated air in the flues acts upon a part of the boiler within which water is contained1 the water within receiving an increased temperature becomes1 bulk for bulk1 lighter than the strata of water above it1 and ascends4 ,it is replaced by the descending strata1 which1 in their turn receiving increased temperature1 rise to the surface2 or if the action of the heat convert the water into steam1 the bubbles of steam rise to the surface1 fresh portions of water continually coming into contact with the boiler-plates on which the heated air or flame acts4 ,by this process the boiler-plates are continually cooled1 either by being successively washed by water at a lower temperature1 or by the heat taken from them becoming latent in the steam bubbles formed in contact with them4 ,but if the heat act ,pg#bfe upon a part of the boiler containing steam within it1 which steam being a slow recipient of heat1 and no currents being established1 nor any phenomenon produced in which heat is rendered latent1 the heat of the fire communicated to the boiler-plates accumulates in them1 and raises their temperature to an injurious degree4 ,the plates may by this means be softened1 so as to cause the boiler to burst1 or the difference between the expansion of the highly heated plates thus exposed to fire in contact with steam and that of the plates which are cooled by contact with water1 may cause the joinings of the boiler-plates to open1 and the boiler to leak4 ,by whatever means1 therefore1 the boiler be fed1 care should be taken that the evaporation should not be allowed to reduce the level of the water in it below the highest flue4 7#aed47 ,as the water by which the boiler is fed must always have a much lower temperature than that at which the boiler is maintained1 the supply of the feed will have a constant tendency to lower the temperature of the water1 and this tendency will be determined by the proportion between the magnitude of the feed and the quantity of water in the boiler4 ,since it is requisite that the level of the water in the boiler shall not suffer any considerable change1 it is evident that the magnitude of the feed must be equal to the quantity of water evaporated4 ,if it were less1 the level of the water would continually fall by reason of the excess of the evaporation over the feed2 and if it were greater1 the level would rise by the accumulation of water in the boiler4 ,if therefore the quantity of water-space allowed in the boiler be five times the volume of water evaporated per hour1 the quantity introduced by the feed per hour1 whether continuously or at intervals1 must be of the same amount4 ,since the process of evaporation is continuous1 the variation of level of water in the boiler will be entirely dependent on the intervals between the successive feeds4 ,if the feed be continuous1 and always equal to the evaporation1 then the level of the water in the boiler will undergo no change2 but if while the evaporation is continuous the feed be made at intervals1 then the change of level of water in the boiler as ,pg#bff well as its change of temperature1 will be subject to a variation proportional to the intervals between the successive feeds4 ,it is manifest1 therefore1 that the feed should either be uninterrupted or be supplied at short intervals1 so that the change of level and temperature of the water in the boiler should not be considerable4 7#aee47 ,different methods have been1 from time to time1 suggested for indicating the level of the water in the boiler4 ,we have already mentioned the two gauge-pipes used in the earlier steam-engines 7#ca471 and which are still generally continued4 ,there are1 however1 some other methods which merit our attention4 ,illustration3 ,fig4 #ge4 ,a weight ,f 7fig4 #ge471 half immersed in the water in the boiler1 is supported by a wire1 which1 passing steam-tight through a small hole in the top1 is connected by a flexible string1 or chain1 passing over a wheel ,w1 with a counterpoise ,a1 which is just sufficient to balance ,f when half immersed4 ,if ,f be raised above the water1 ,a being lighter will no longer balance it1 and ,f will descend pulling up ,a1 and turning the wheel ,w4 ,if1 on the other hand1 ,f be plunged deeper in the water1 ,a will more than balance it1 and will pull it up1 so that the only position in which ,f and ,a will balance each other is1 when ,f is half immersed4 ,the wheel ,w is so adjusted1 that when two pins placed on its rim are in the horizontal position1 the water is at its proper level4 ,consequently it follows1 that if the water rise above this level1 the weight ,f is lifted and ,a falls1 so that the pins come into another position4 ,if1 on the other hand1 the level of the water fall1 ,f falls and ,a rises1 so that the pins assume a different position4 ,thus1 in general1 the position of the pins becomes an indication of the quantity of water in the boiler4 7#aef47 ,another method is to place a glass tube 7fig4 #gf471 with one end ,t entering the boiler above the proper level1 and the other end ,t entering it below the proper level4 ,it must ,pg#bfg be evident that the water in the tube will always stand at the same level as the water in the boiler1 since the lower part has a free communication with that water1 while the surface is submitted to the pressure of the same steam as the water in the boiler4 ,this and the last-mentioned gauge have the advantage of addressing the eye of the engineer at once1 without any adjustment2 whereas the gauge-cocks must be both opened1 whenever the depth is to be ascertained4 ,illustration3 ,fig4 #gf4 ,these gauges1 however1 require the frequent attention of the engine-man2 and it becomes desirable either to find some more effectual means of awakening that attention1 or to render the supply of the boiler independent of any attention4 ,in order to enforce the attention of the engine-man to replenish the boiler when partially exhausted by evaporation1 a tube was sometimes inserted at the lowest level to which it was intended that the water should be permitted to fall4 ,this tube was conducted from the boiler into the engine-house1 where it terminated in a mouth-piece or whistle1 so that whenever the water fell below the level at which this tube was inserted in the boiler1 the steam would rush through it1 and issuing with great velocity at the mouth-piece1 would summon the engineer to his duty with a call that would rouse him even from sleep4 ,illustration3 ,fig4 #gg4 7#aeg47 ,in the most effectual of these methods1 the task of replenishing the boiler should still be executed by the engineer2 and the utmost that the boiler itself was made to do1 was to give due notice of the necessity for the supply of water4 ,the consequence was1 among other inconveniences1 that the level of the water was subject to constant variation4 ,to remedy this a method has been invented1 by which ,pg#bfh the engine is made to feed its own boiler4 ,the pipe ,g 7fig4 #gg471 which leads from the hot water pump1 terminates in a small cistern ,c in which the water is received4 ,in the bottom of this cistern1 a valve ,v is placed1 which opens upwards1 and communicates with a feed-pipe1 which descends into the boiler below the level of the water in it4 ,the stem of the valve ,v is connected with a lever turning on the centre ,d1 and loaded with a weight ,f dipped in the water in the boiler in a manner similar to that described in fig4 #ge41 and balanced by a counterpoise ,a in exactly the same way4 ,when the level of the water in the boiler falls1 the float ,f falls with it1 and pulling down the arm of the lever raises the valve ,v1 and lets the water descend into the boiler from the cistern ,c4 ,when the boiler has thus been replenished1 and the level raised to its former place1 ,f will again be raised1 and the valve ,v closed by the weight ,a4 ,in practice1 however1 the valve ,v adjusts itself by means of the effect of the water on the weight ,f1 so as to permit the water from the feeding-cistern ,c to flow in a continued stream1 just sufficient in quantity to supply the consumption from evaporation1 and to maintain the level of the water in the boiler constantly the same4 ,by this arrangement the boiler is made to replenish itself1 or1 more properly speaking1 it is made to receive such a supply1 as that it never wants replenishing1 an effect which no effort of attention on the part of an engine-man could produce4 ,but this is not the only good effect produced by this contrivance4 ,a part of the steam which originally left the boiler1 and having discharged its duty in moving the piston1 was condensed and reconverted into water1 and lodged by the air-pump in the hot well 7fig4 #gg471 is here again restored to the source from which it came1 bringing back all the unconsumed portion of its heat preparatory to being once more put in circulation through the machine4 ,the entire quantity of hot water pumped into the cistern ,c1 is not always necessary for the boiler4 ,a waste-pipe may be provided for carrying off the surplus1 which may be turned to any purpose for which it may be required2 or it may be discharged into a cistern to cool1 preparatory to ,pg#bfi being restored to the cold cistern1 in case water for the supply of that cistern be not sufficiently abundant4 ,illustration3 ,fig4 #gh4 7#aeh47 ,another method of arranging a self-regulating feeder is shown in fig4 #gh4 ,a is a hollow ball of metal attached to the end of a lever1 whose fulcrum is at ,b4 ,the other arm of the lever ,c is connected with the stem of a spindle-valve1 communicating with a tube which receives water from the feeding-cistern4 ,thus1 when the level of the water in the boiler subsides1 the ball ,a preponderating over the weight of the opposite arm1 the lever falls1 the arm ,c rises and opens the valve1 and admits the feeding water4 ,this apparatus will evidently act in the same manner and on the same principles as that already described4 ,pg#bgj ,the mouth of the tube by which the feed is introduced should be placed at that part of the boiler which is nearest the end of the flues which issue into the chimney4 ,by such means the temperature of the water in contact with those flues will be lowest at the place where the temperature of the heated air intended to act upon it is also lowest4 ,the difference of the temperatures will therefore be greater than it would be if the point of the boiler containing water of a higher temperature was left in contact with this part of the flue4 ,illustration3 ,fig4 #gi4 7#aei47 ,it is necessary to have a ready method of ascertaining at all times the pressure of the steam which is used in working the engine4 ,for this purpose a bent tube containing mercury is inserted into some part of the apparatus1 which has free communication with the steam4 ,let ,a ,b ,c 7fig4 #gi47 be such a tube4 ,the pressure of the steam forces the mercury down in the leg ,a ,b1 and up in the leg ,b ,c4 ,if the mercury in both legs be at exactly the same level1 the pressure of the steam must be exactly equal to that of the atmosphere2 because the steam pressure on the mercury in ,a ,b balances the atmospheric pressure on the mercury in ,b ,c4 ,if1 however1 the level of the mercury in ,b ,c be above the level of the mercury in ,b ,a1 the pressure of the steam will exceed that of the atmosphere4 ,the excess of its pressure above that of the atmosphere may be found by observing the difference of the level of the mercury in the tubes ,b ,c and ,b ,a1 allowing a pressure of one pound on each square inch for every two inches in the difference of the levels4 ,if1 on the contrary1 the level of the mercury in ,b ,c should fall below its level in ,a ,b1 the atmospheric pressure will ,pg#bga exceed that of the steam1 and the quantity of the excess may be ascertained exactly in the same way4 ,if the tube be glass1 the difference of levels of the mercury would be visible2 but it is most commonly made of iron2 and in order to ascertain the level1 a thin wooden rod with a float is inserted in the open end of ,b ,c1 so that the portion of the stick within the tube indicates the distance of the level of the mercury from its mouth4 ,a bulb or cistern of mercury might be substituted for the leg ,a ,b1 as in the common barometer4 ,this instrument is called the steam-gauge4 ,if the steam-gauge be used as a measure of the strength of the steam which presses on the piston1 it ought to be on the same side of the throttle-valve 7which is regulated by the governor7 as the cylinder2 for if it were on the same side of the throttle-valve with the boiler1 it would not be affected by the changes which the steam may undergo in passing through the throttle-valve1 when partially closed by the agency of the governor4 ,for boilers in which steam of very high pressure is used1 as in those of locomotive engines1 a steam-gauge1 constructed on the above principle1 would have inconvenient or impracticable length4 ,in such boilers the pressure of the steam is equal to four or five times that of the atmosphere1 to indicate which the column of mercury in the steam-gauge would be four or five feet in height4 ,in such cases a thermometer-gauge may be used with advantage4 ,the principle of this gauge is founded on the fact1 that between the pressure and temperature of steam produced in contact with water there is a fixed relation1 the same temperature always corresponding to the same pressure4 ,if1 therefore1 a thermometer be immersed in the boiler which shall show the temperature of the steam1 a scale may be attached to it1 on which shall be engraved the corresponding pressures4 ,such gauges are now very generally used on locomotive engines4 ,illustration3 ,fig4 #hj4 7#afj47 ,the force with which the piston is pressed depends on two things1 #ast1 the actual strength of the steam which presses on it2 and1 #b;dly1 on the actual strength of the vapour which resists it4 ,for although the vacuum produced by the method of separate condensation be much more perfect than ,pg#bgb what had been produced in the atmospheric engines1 yet still some vapour of a small degree of elasticity is found to be raised from the hot water in the bottom of the condenser before it can be extracted by the air-pump4 ,one of these pressures is indicated by the steam-gauge already described2 but still1 before we can estimate the force with which the piston descends1 it is necessary to ascertain the force of the vapour which remains uncondensed1 and resists the motion of the piston4 ,another gauge1 called the barometer-gauge1 is provided for this purpose4 ,a glass tube ,a ,b 7fig4 #hj471 more than thirty inches long and open at both ends1 is placed in an upright or vertical position1 having the lower end ,b immersed in a cistern of mercury ,c4 ,to the upper end is attached a metal tube1 which communicates with the condenser1 in which a constant vacuum1 or rather high degree of rarefaction1 is sustained4 ,the same vacuum must therefore exist in the tube ,a ,b1 above the level of the mercury1 and the atmospheric pressure on the surface of the mercury in the cistern ,c will force the mercury up in the tube ,a ,b1 until the column which is suspended in it is equal to the difference between the atmospheric pressure and the pressure of the uncondensed steam4 ,the difference between the column of mercury sustained in this instrument and in the common barometer1 will determine the strength of the uncondensed steam1 allowing a force proportional to one pound per square inch for every two inches of mercury in the difference of the two columns4 ,in a well-constructed engine which is in good order1 there is very little difference between the altitude in the barometer-gauge and the common barometer4 ,to compute the force with which the piston descends1 thus becomes a very simple arithmetical process4 ,first1 ascertain the difference of the levels of the mercury in the steam-gauge2 this gives the excess of the steam pressure above the atmospheric pressure4 ,then find the height of the mercury in the barometer-gauge2 this gives the excess of the atmospheric pressure above the uncondensed steam4 ,hence1 if these two heights be added together1 we shall obtain the ,pg#bgc excess of the impelling force of the steam from the boiler1 on the one side of the piston1 above the resistance of the uncondensed steam on the other side3 this will give the effective impelling force4 ,now1 if one pound be allowed for every two inches of mercury in the two columns just mentioned1 we shall have the number of pounds of impelling pressure on every square inch of the piston4 ,then1 if the number of square inches in the section of the piston be found1 and multiplied by the number of pounds on each square inch1 the force with which it moves will be obtained4 ,from what we have stated it appears that1 in order to estimate the force with which the piston is urged1 it is necessary to refer to both the barometer and the steam-gauge4 ,this double computation may be obviated by making one gauge serve both purposes4 ,if the end ,c of the steam-gauge 7fig4 #gi471 instead of communicating with the atmosphere were continued to the condenser1 we should have the pressure of the steam acting upon the mercury in the tube ,b ,a1 and the pressure of the uncondensed vapour which resists the piston acting on the mercury in the tube ,b ,c4 ,hence the difference of the levels of the mercury in the tubes would at once indicate the difference between the force of the steam and that of the uncondensed vapour1 which is the effective force with which the piston is urged4 7#afa47 ,but these methods of determining the effective force by which the piston is urged1 can only be regarded as approximations1 and not very perfect ones4 ,if the condensation of steam on one side of the piston were instantaneously effected1 or the uncondensed vapour were of the same tension during the whole stroke2 and if1 besides this1 the pressure of steam on the piston were of uniform intensity from the beginning to the end of the stroke1 then the steam and barometer gauges taken together would become an accurate index of the effective force of steam on the piston3 but such is not the case4 ,when the steam is first admitted through the steam-valve it acts on the piston with a pressure which is first slightly diminished1 and afterwards a little increased1 until it arrives at that part of the stroke at which the steam-valve is closed1 after which the pressure is diminished4 ,the ,pg#bgd pressure1 therefore1 urging the piston is subject to variation2 but the pressure of the uncondensed vapour on the other side of the piston is subject to still greater change4 ,at the moment the exhausting-valve is opened1 the piston is relieved from the pressure upon it by the commencement of the condensation2 but this process during the descent of the piston is gradual1 and the vacuum is rendered more and more perfect1 until the piston has nearly attained the limit of its play4 ,these variations1 both as well of the force urging the piston as of the force resisting it1 are such as not to be capable of being accurately measured by a mercurial column1 since they would produce oscillations in such a column1 which would render any observations of its mean height impracticable4 ,to measure the mean efficient force of the piston1 taking into account these circumstances1 ,mr4 ,watt invented an instrument1 which1 like all his mechanical inventions1 has answered its purpose perfectly1 and is still in general use4 ,this instrument1 called an indicator1 consists of a cylinder of about #a-c_/d inch in diameter1 and #h inches in length4 ,it is bored with great accuracy1 and fitted with a solid piston moving steam-tight in it with very little friction4 ,the rod of this piston is guided in the direction of the axis of the cylinder through a collar in the top1 so as not to be subject to friction in any part of its play4 ,at the bottom of the cylinder is a pipe governed by a stop-cock and turned in a screw1 by which the instrument may be screwed on the top of the steam-cylinder of the engine4 ,in this position1 if the stop-cock of the indicator be opened1 a free communication will be made between the cylinder of the indicator and that of the engine4 ,the piston-rod of the indicator is attached to a spiral spring1 which is capable of extension and compression1 and which by its elasticity is capable of measuring the force which extends or compresses it in the same manner as a spring steel-yard or balance4 ,if a scale be attached to the instrument at any point on the piston-rod to which an index might be attached1 then the position of that index upon the scale would be governed by the position of the indicator-piston in its cylinder4 ,if any force pressed the indicator-piston upwards1 so as to compress the spring1 ,pg#bge the index would rise upon the scale2 and if1 on the other hand1 a force pressed the indicator-piston downwards1 then the spiral spring would be extended1 and the index on the piston-rod descend upon the scale4 ,in each case the force of the spring1 whether compressed or extended1 would be equal to the force urging the indicator-piston1 and the scale might be so divided as to show the amount of this force4 ,now1 let the instrument be supposed to be screwed upon the top of the cylinder of a steam-engine1 and the stop-cock opened so as to leave a free communication between the cylinder of the indicator below its piston and the cylinder of the steam-engine above the steam-piston4 ,at the moment the upper steam-valve is opened1 the steam rushing in upon the steam-piston will also pass into the indicator1 and press the indicator-piston upwards3 the index upon its piston-rod will point upon the scale to the amount of pressure thus exerted4 ,as the steam-piston descends1 the indicator-piston will vary its position with the varying pressure of the steam in the cylinder1 and the index on the piston-rod will play upon the scale1 so as to show the pressure of the steam at each point during the descent of the piston4 ,if it were possible to observe and record the varying position of the index on the piston-rod of the indicator1 and to refer each of these varying positions to the corresponding point of the descending stroke1 we should then be able to declare the actual pressure of the steam at every point of the stroke4 ,but it is evident that such an observation would not be practicable4 ,a method1 however1 was contrived by ,mr4 ,southern1 an assistant of ,messrs4 ,boulton and ,watt1 by which this is perfectly effected4 ,a square piece of paper1 or card1 is stretched upon a board1 which slides in grooves formed in a frame4 ,this frame is placed in a vertical position near the indicator1 so that the paper may be moved in a horizontal direction backwards and forwards1 through a space of fourteen or fifteen inches4 ,instead of an index a pencil is attached to the indicator of the piston-rod3 this pencil is lightly pressed by a spring against the paper above mentioned1 and as the paper is moved in a horizontal direction ,pg#bgf under the pencil1 would trace upon the paper a line4 ,if the pencil were stationary this line would be straight and horizontal1 but if the pencil were subject to a vertical motion1 the line traced on the paper moved under the pencil horizontally would be a curve1 the form of which would depend on the vertical motion of the pencil4 ,the board thus supporting the paper is put into connexion by a light cord carried over pulleys with some part of the parallel motion1 by which it is alternately moved to the right and to the left4 ,as the piston ascends or descends1 the whole play of the board in the horizontal direction will therefore represent the length of the stroke1 and every fractional part of that play will correspond to a proportional part of the stroke of the steam-piston4 ,illustration3 ,fig4 #ha4 ,the apparatus being thus arranged1 let us suppose the steam-piston at the top of the cylinder commencing its descent4 ,as it descends1 the pencil attached to the indicator piston-rod varies its height according to the varying pressure of the steam in the cylinder4 ,at the same time the paper is moved uniformly under the pencil1 and a curved line is traced upon it from right to left4 ,when the piston has reached the bottom of the cylinder1 the upper exhausting-valve is opened1 and the steam drawn off to the condenser4 ,the indicator-piston being immediately relieved from a part of the pressure acting upon it descends1 and with it the pencil also descends2 but at the same time the steam-piston has begun to ascend1 and the paper to return from left to right under the pencil4 ,while the steam-piston continues to ascend1 the condensation becomes more and more perfect1 and the vacuum in the cylinder1 and therefore also in the indicator1 being gradually increased in power1 the atmospheric pressure above the indicator-piston presses it downwards and stretches the spring4 ,the pencil meanwhile1 with the paper moving under it from right to left1 traces a second curve4 ,as the former curve showed the actual pressure of the steam impelling the piston in its descent1 this latter will show the pressure of the uncondensed steam raising the piston in its ascent1 and a comparison of the two will exhibit the effective force on the piston4 ,fig4 #ha4 represents such a diagram as would be ,pg#bgg produced by this instrument4 ,a ,b ,c is the curve traced by the pencil during the descent of the piston1 and ,c ,d ,e that during its ascent4 ,a is the position of the pencil at the moment the piston commences its descent1 ,b is its position at the middle of the stroke1 and ,c at the termination of the stroke4 ,on closing the upper steam-valve and closing the exhausting-valve1 the indicator-piston being gradually relieved from the pressure of the steam the pencil descends1 and at the same time the paper moving from left to right1 the pencil traces the curve ,c ,d ,e1 the gradual descent of this curve showing the progressive increase of the vacuum4 ,as the atmospheric pressure constantly acts above the piston of the indicator1 its position will be determined by the difference between the atmospheric pressure and the pressure of the steam below it2 and therefore the difference between the heights of the pencil at corresponding points in the ascending and descending stroke1 will express the difference between the pressure of the steam impelling the piston in the ascent and resisting it in the descent at these points4 ,thus at the middle of the stroke1 the line ,b ,d will express the extent to which the spring governing the indicator-piston would be stretched by the difference between the force of steam impelling the piston at the middle of the descending stroke1 and the force of steam resisting it at the middle of the ascending stroke4 ,the force therefore measured by the line ,b ,d will be the effective force on the piston at that point2 and the same may be said of every part of the diagram produced by the indicator4 ,the whole mechanical effect produced by the stroke of the piston being composed of the aggregate of all its varying effects throughout the stroke1 the determination of its amount ,pg#bgh is a matter of easy calculation by the measurement of the diagram supplied by the indicator4 ,let the horizontal play of the pencil from ,a to ,c be divided into any proposed number of equal parts1 say ten3 at the middle of the stroke1 ,b ,d expresses the effective force on the piston1 and if this be considered to be uniform through the tenth part of the stroke1 as from f to g1 then the number of pounds expressed by ,b ,d multiplied by the tenth part of the stroke expressed in parts of a foot1 will be the mechanical effect through that part of the stroke expressed in pounds' weight raised one foot4 ,in like manner m n will express the effective force on the piston after three fourths of the stroke have been performed1 and if this be multiplied by a tenth part of the stroke as before1 the mechanical effect similarly expressed will be obtained2 and the same process being applied to any successive tenth part of the stroke1 and the numerical results thus obtained being added together1 the whole effect of the stroke will be obtained1 expressed in pounds' weight raised one foot4 7#afb47 ,by means of the indicator1 the actual mechanical effect produced by each stroke of the engine can be obtained1 and if the actual number of strokes made in any given time be known1 the whole effect of the moving power would be determined4 ,an instrument called a counter was also contrived by ,watt1 to be attached either to the working beam or to any other reciprocating part of the engine4 ,this instrument consisted of a train of wheel-work with governing hands or indices moved upon divided dials1 like the hand of a clock4 ,a record of the strokes was preserved by means precisely similar to those by which the hands of a clock or time-piece indicated and recorded the number of vibrations of the pendulum or balance-wheel4 7#afc47 ,to secure the boiler from accidents arising from the steam contained in it acquiring an undue pressure1 a safety-valve is used1 similar in principle to those adopted in the early engines4 ,this valve is represented in fig4 #ga4 at ,n4 ,it is a conical valve1 kept down by a weight sliding on a rod upon it4 ,when the pressure of the steam overcomes the force of this weight1 it raises the valve and escapes1 being carried off through the tube4 ,pg#bgi ,with a view to the economy of heat1 this waste steam tube is sometimes conducted into the feeding cistern1 where the steam carried off by it is condensed1 and heats the feeding water4 ,the magnitude of the safety-valve should be such that1 when open1 steam should be capable of passing through it as rapidly as it is generated in the boiler4 ,the superficial magnitude1 therefore1 of such valves must be proportional to the evaporating power of the boiler4 ,in low pressure boilers the steam is generally limited to five or six pounds' pressure per square inch1 and consequently the load over the safety-valve in pounds would be found by multiplying the superficial magnitude of its smallest part by these numbers4 ,in boilers in which the steam is maintained at a higher pressure1 it would be inconvenient to place upon the safety-valve the necessary weight4 ,in such cases a lever is used1 the shorter arm of which presses down the valve1 and the longer arm is held down by a weight capable of adjustment1 so that the pressure on the valve may be regulated at discretion4 ,two safety-valves should be provided on all boilers1 one of which should be locked up1 so that the persons in care of the engine should have no power to increase the load upon it4 ,in such case1 however1 it is necessary that a handle connected with the valve should project outside the box containing it1 so that it may always be possible for the engineer to ascertain that the valve is not locked in its seat1 a circumstance which is liable to happen4 ,sometimes also two safety-valves are provided1 one loaded a little heavier than the other4 ,the escape of steam from the lighter valve in this case gives notice to the engine-man of the growing increase of pressure1 and warns him to check the production of steam4 ,the lever by which the safety-valve is held down is sometimes acted on by a spiral spring1 capable of being so adjusted as to produce any required pressure on the valve4 ,this arrangement is adopted in locomotive engines1 where steam of very high pressure is used2 and in such cases also there are always provided two such valves1 one of which cannot be increased in its pressure4 ,the pipe by which the boiler is fed with water will ,pg#bhj necessarily act as a safety-valve1 for when the pressure of the steam increases in an undue degree1 it will press the water in the boiler up through the feed-pipe1 so as to discharge it into the feed-cistern1 a circumstance which would immediately give notice of the internal state of the boiler4 ,the steam-gauge1 already described 7fig4 #gi471 would also act as a safety-valve2 for if the pressure of steam in the boiler should be so augmented as to blow the mercury out of the steam-gauge1 the steam would then issue through the gauge1 and the pressure of the boiler be reduced1 provided that the magnitude of the tube forming the steam-gauge were sufficient for this purpose4 7#afd47 ,in high pressure boilers which are exposed to extreme temperatures and pressures1 and which are therefore subject to danger of explosion1 a plug of metal is sometimes inserted1 which is capable of being fused at a temperature above which the boiler should not be permitted to be raised4 ,if the pressure of steam increase beyond the proper limit1 the temperature of the water and steam will undergo a corresponding increase2 and if the metal of the plug be capable of being fused at such a temperature1 the plug will fall out of the boiler1 and the steam and water will issue from it4 ,various alloys of metal are fusible at temperatures sufficiently low for this purpose4 ,an alloy composed of one part of lead1 three of tin1 and five of bismuth1 will fuse at the common temperature of boiling water2 and alloys of the same metals1 in various proportions1 will fuse at different temperatures from #bjj to #djj4 ,although fusible plugs may be used1 in addition to other means of insuring safety1 they ought not to be exclusively relied on at the ordinary working pressure of the boiler4 ,the fusible plug ought to be capable of more than resisting the pressure2 but if it be so1 its point of fusion would be one at which the steam would have a pressure of at least two atmospheres above its working pressure4 ,the plug would therefore be capable of being fused only as soon as the steam would acquire a pressure of #cj lbs4 per inch above its regular working pressure4 ,when a boiler ceases to be worked1 and the furnace has been extinguished1 the space within it appropriated to steam ,pg#bha will be left a vacuum by the condensation of the steam with which it was previously filled4 ,the external pressure of the atmosphere acting on the boiler would1 under such circumstances1 have a tendency to crush it inwards4 ,to prevent this1 a safety-valve is provided1 opening inwards1 and balanced by a weight sufficient to keep it closed until it be relieved from the pressure of the steam below4 ,a large aperture closed by a flange secured with screws1 represented at ,o in fig4 #ga41 called the man-hole1 is provided to admit persons into the boiler for the purpose of cleaning or repairing its interior4 7#afe47 ,the manner in which the governor regulates the supply of steam from the boiler to the cylinder1 proportioning the quantity to the work to be done1 and thereby sustaining a uniform motion1 has been already explained 7p4 #abe474 ,since then the consumption of steam in the engine is subject to variation1 owing to the various quantities of work it may have to perform1 it is evident that the production of steam in the boiler should be subject to a proportional variation4 ,for otherwise1 one of two effects would ensue3 the boiler would either fail to supply the engine with steam1 or steam would accumulate in the boiler from being produced in too great abundance1 and would escape at the safety-valve1 and thus be wasted4 ,in order to vary the production of steam in proportion to the demands of the engine1 it is necessary to stimulate or mitigate the furnace1 as the evaporation is to be augmented or diminished4 ,the activity of the furnace must depend on the current of air which is drawn through the grate-bars1 and this will depend on the magnitude of the space afforded for the passage of that current through the flues4 ,a plate called a damper is accordingly placed with its plane at right angles to the flue1 so that by raising and lowering it in the same manner as the sash of a window is raised or lowered1 the space allowed for the passage of air through the flue may be regulated4 ,this plate might be regulated by the hand1 so that by raising or lowering it the draught might be increased or diminished1 and a corresponding effect produced on the ,pg#bhb evaporation in the boiler3 but the force of the fire is rendered uniformly proportional to the rate of evaporation by the following arrangement1 without the intervention of the engineer4 ,the column of water sustained in the feed-pipe 7figs4 #ga1 #gb47 represents by its weight the difference between the pressure of steam within the boiler and that of the atmosphere4 ,if the engine consumes steam faster than the boiler produces it1 the steam contained in the boiler acquires a diminished pressure1 and consequently the column of water in the feed-pipe will fall4 ,if1 on the other hand1 the boiler produce steam faster than the engine consumes it1 the accumulation of steam in the boiler will cause an increased pressure on the water it contains1 and thereby increase the height of the column of water sustained in the feed-pipe4 ,this column therefore necessarily rises and falls with every variation in the rate of evaporation in the boiler4 ,a hollow float ,p is placed upon the surface of the water of this column2 a chain connected with this float is carried upwards1 and passed over two pulleys1 after which it is carried downwards through an aperture leading to the flue which passes beside the boiler3 to this chain is attached the damper4 ,by such an arrangement it is evident that the damper will rise when the float ,p falls1 and will fall when the float ,p rises1 since the weight of the damper is so adjusted1 that it will only balance the float ,p when the latter rests on the surface of the water4 ,whenever the evaporation of the boiler is insufficient1 it is evident from what has been stated1 that the float ,p will fall and the damper will rise1 and will afford a greater passage for air through the flue4 ,this will stimulate the furnace1 will augment its heating power1 and will therefore increase the rate of evaporation in the boiler4 ,if1 on the other hand1 the production of steam in the boiler be more than is requisite for the supply of the engine1 the float will be raised and the damper let down1 so as to contract the flue1 to diminish the draught1 to mitigate the fire1 and therefore to check the evaporation4 ,in this way the excess1 or defect1 of evaporation in the boiler is made to act upon the fire1 so as to render the heat proceeding from the combustion as nearly as possible proportional to the wants of the engine4 ,pg#bhc 7#aff47 ,the method of feeding the furnace by hand through the fire-door being subject to the double objection of admitting more cold air over the fuel than is necessary for its combustion1 and the impracticability of insuring that regular attendance on the part of the stokers1 directed the attention of engineers to the construction of self-regulating furnaces4 ,the most effectual of these1 and that which has come into most general use1 was invented by ,mr4 ,william ,brunton of ,birmingham4 ,the advantages proposed to be attained by him were those expressed in his patent3-- ,first1 ,i put the coal upon the grate by small quantities1 and at very short intervals1 say every two or three seconds4 #b;dly1 ,i so dispose of the coals upon the grate1 that the smoke evolved must pass over that part of the grate upon which the coal is in full combustion1 and is thereby consumed4 #c;dly1 ,as the introduction of coal is uniform in short spaces of time1 the introduction of air is also uniform1 and requires no attention from the fireman4 ,as it respects economy3 #ast1 ,the coal is put upon the fire by an apparatus driven by the engine1 and so contrived that the quantity of coal is proportioned to the quantity of work which the engine is performing2 and the quantity of air admitted to consume the smoke is regulated in the same manner4 #b;dly1 ,the fire-door is never opened1 excepting to clean the fire2 the boiler1 of course1 is not exposed to that continual irregularity of temperature which is unavoidable in the common furnace1 and which is found exceedingly injurious to boilers4 #c;dly1 ,the only attention required is to fill the coal-receiver every two or three hours1 and clean the fire when necessary4 #dthly1 ,the coal is more completely consumed than by the common furnace1 as all the effect of what is termed stirring up the fire 7by which no inconsiderable quantity of coal is passed into the ash-pit71 is attained without moving the coal upon the grate4 ,a circular grate is placed on a vertical revolving shaft2 on the lower part of this shaft1 under the ash-pit1 is placed a toothed wheel driven by a pinion4 ,this pinion is placed on another vertical shaft1 which ascends above the boiler2 and ,pg#bhd on the other end of this is placed a bevelled wheel driven by a pinion4 ,this pinion is attached to a shaft1 which takes its motion from the axis of the fly-wheel1 or any other revolving shaft connected with the engine4 ,a constant motion of revolution is therefore imparted to the circular grate1 and its velocity being proportional to that of the engine1 will necessarily be also proportional to the quantity of fuel which ought to be consumed4 ,through that part of the boiler which is over the fire-grate a vertical tube or opening is made directly over that part of the furnace which is most distant from the flues4 ,over this opening a hopper is placed1 which contains the fuel by which the boiler is to be fed2 and in the bottom of this hopper is a sliding valve1 capable of being opened or closed1 so as to regulate the quantity of fuel supplied to the fire-grate4 ,the fuel dropping in in small quantities through this open valve falls on the grate1 and is carried round by it1 so as to leave a fresh portion of the grate to receive succeeding feeds4 ,the coals admitted through the hopper are previously broken to a proper size2 and in some forms of this apparatus there are two rollers1 at a regulated distance asunder1 the surfaces of which are formed into blunt angular points1 and which are kept in slow revolution by the engine4 ,between these rollers the coals must pass before they reach the valve through which the furnace is fed1 and they are thus broken and reduced to a regulated size4 ,the valve which regulates the opening through which the feed is admitted1 is connected by chains and pulleys with the self-regulating damper already described1 so that in proportion as the damper is raised1 the valve governing the feed may be opened4 ,thus1 while the quantity of air admitted by the damper is increased according to the demands of the engine1 the quantity of fuel admitted for the feed is increased by opening the valve in the bottom of the hopper in the same proportion4 ,apertures are also provided in the front of the grate1 governed by regulators1 by which the quantity of air necessary and sufficient to produce the combustion of the gas evolved from the fuel is admitted1 these openings being also connected with the self-regulating damper4 ,a considerable portion of the heat imparted to the water ,pg#bhe in the boiler escapes by radiation from the surface of the boiler1 steam-pipes1 and other parts of the machinery in contact with the steam and hot water4 ,the effects of this are rendered very apparent in marine engines1 where a large quantity of water is found to be condensed in the great steam-pipes leading from the boiler to the cylinder4 ,in stationary land boilers this loss of heat is usually diminished1 and in some cases in a great degree removed1 by surrounding the boiler with non-conducting substances4 ,in some cases the boiler is built round in brick work4 ,in ,cornwall1 where the economy is regarded perhaps to a greater extent than elsewhere1 the boiler and steam-pipes are surrounded with a packing of sawdust1 which being almost a non-conductor of heat1 is impervious to the heat proceeding from the surfaces with which it is in contact1 and consequently confines all the heat within the boiler4 ,in marine boilers it has been the practice recently to clothe the boiler and steam-pipes with a coating of felt1 which is attended with a similar effect4 ,when these remedies are properly applied1 the loss of heat proceeding from the radiation of the boiler is reduced to an extremely small amount4 ,the engine-houses of some of the ,cornish engines1 where the boiler generates steam at a very high temperature1 are nevertheless frequently maintained at a lower temperature than the external air1 and on entering them they have in a great degree the effect of a cave4 7#afg47 ,all mechanical action is measured by the amount of force exercised1 or resistance overcome1 and the space through which that force has acted1 or through which the resistance has been moved4 ,the gross amount of mechanical action developed by the moving power of an engine1 is expended partly on moving the engine itself1 and partly on overcoming the resistance on which the engine is intended to act4 ,that part of the mechanical energy of the moving power which is expended on the resistance or load which the engine moves exclusively1 and of the power expended on moving the engine itself1 is called the useful effect of the machine4 ,the gross effect1 therefore1 exceeds the useful effect by the ,pg#bhf amount of power spent in moving the engine1 or which may be wasted or destroyed in any way by the engine4 ,it is usual to express and estimate all mechanical effect whatever by nature of the resistance overcome1 by an equivalent weight raised a certain height4 ,thus1 if an engine exerts a certain power in driving a mill1 in drawing a carriage on a road1 or in propelling a vessel on water1 the resistance against which it has to act must be equal to a definite amount of weight4 ,if a carriage be drawn1 the traces are stretched by the tractive power1 by the same tension that would be given to them if a certain weight were appended to them4 ,if the paddle-wheels of a boat are made to revolve1 the water opposes to them a resistance equal to that which would be produced1 if instead of moving the water the wheel had to raise some certain weight4 ,in any case1 therefore1 weight becomes the exponent of the energy of the resistance against which the moving power acts4 ,but the amount of mechanical effect depends conjointly on the amount of resistance1 and the space through which that resistance is moved4 ,the quantity of this effect1 therefore1 will be increased in the same proportion1 whether the quantity of resistance or the space through which that resistance is moved be augmented4 ,thus1 a resistance of one hundred pounds1 moved through two feet1 is mechanically equivalent to a resistance of two hundred pounds moved through one foot1 or of four hundred pounds moved through six inches4 ,to simplify1 therefore1 the expression of mechanical effect1 it is usual to reduce it invariably to a certain weight raised one foot4 ,if the resistance under consideration be equivalent to a certain weight raised through ten feet1 it is always expressed by ten times the amount of that weight raised through one foot4 ,it has also been usual in the expression of mechanical effect1 to take the pound weight as the unit of weight1 and the foot as the unit of length1 so that all mechanical effect whatsoever is expressed by a certain number of pounds raised one foot4 7#afh47 ,the gross effect of the moving power in a steam-engine1 is the whole mechanical force developed by the evaporation ,pg#bhg of water in the boiler4 ,a part of this effect is lost by the partial condensation of the steam before it acts upon the piston1 and by the imperfect condensation of it subsequently3 another portion is expended on overcoming the friction of the different moving parts1 and in acting against the resistance which the air opposes to the machine4 ,if the motion be subject to sudden shocks1 a portion of the power is then lost by the destruction of momentum which such shocks produce4 ,but if those parts of the machine which have a reciprocating motion be1 as they ought to be1 brought gradually to rest at each change of direction1 then no power is absorbed in this way4 7#afi47 ,the useful effect of an engine is variously denominated according to the relation under which it is considered4 ,if it be referred to the time during which it is produced1 it is called ,,power4 7#agj47 ,if it be referred to the fuel1 by the combustion of which the evaporation has been effected1 it is called ,,duty4 7#aga47 ,when steam-engines were first brought into use1 they were commonly applied to work pumps for mills which had been previously worked or driven by horses4 ,in forming their contracts1 the first steam-engine builders found themselves called upon to supply engines capable of executing the same work as was previously executed by some certain number of horses4 ,it was therefore convenient1 and indeed necessary1 to be able to express the performance of these machines by comparison with the animal power to which manufacturers1 miners1 and others1 had been so long accustomed4 ,when an engine1 therefore1 was capable of performing the same work in a given time as any given number of horses of average strength usually performed1 it was said to be an engine of so many horses' power4 ,steam-engines had been in use for a considerable time before this term had acquired any settled or uniform meaning1 and the nominal power of engines was accordingly very arbitrary4 ,at length1 however1 the use of steam-engines became more extended1 and the confusion and inconvenience arising out of all questions respecting the performance of engines1 rendered it necessary that some fixed ,pg#bhh and definite meaning should be assigned to the terms by which the powers of this machine were expressed4 ,to have abandoned the term horse-power1 which had been so long in use1 would have been obviously inconvenient2 nor could there be any objection to its continuance1 provided all engine-makers1 and all those who used engines1 could be brought to agree upon some standard by which the unit of horse-power might be defined4 ,the performance of a horse of average strength working for eight hours a day was therefore selected as a standard1 or unit1 of steam-engine power4 ,smeaton estimated that such an animal1 so working1 was capable of performing a quantity of work equal in its mechanical effect to #bb1iaf lbs4 raised one foot per minute1 while ,desaguliers estimated the same power at #bg1ejj lbs4 raised through the same height in the same time4 ,the discrepancy between these estimates probably arose from their being made from the performances of different classes of horses4 ,messrs4 ,boulton and ,watt caused experiments to be made with the strong horses used in the breweries in ,london1 and from the result of these trials they assigned #cc1jjj lbs4 raised one foot per minute1 as the value of a horse's power4 ,this is the unit of engine-power now universally adopted2 and when an engine is said to be of so many horses' power1 what is meant is1 that that engine1 in good working order and properly managed1 is capable of moving a resistance equal to #cc1jjj lbs4 through one foot per minute4 ,thus an engine of ten horse-power is one that would raise #ccj1jjj lbs4 weight one foot per minute4 ,whether this estimate of an average horse's power be correct or not1 in reference to the actual work which the animal is capable of executing1 is a matter of no present importance in its application to steam-power4 ,the steam-engine is no longer used to replace the power of horses1 and therefore no contracts are based upon such a comparison4 ,the term horse-power1 therefore1 as applied to steam-engines1 must be understood to have no reference whatever to the actual animal power1 but must be taken as a term having no other meaning than the expression of the ability of the ,pg#bhi machine to move the amount of resistance above mentioned through one foot per minute4 7#agb47 ,it has been already explained 7#fg47 that the conversion of a given volume of water into steam is productive of a certain definite amount of mechanical force1 this amount depending on the pressure under which the water is evaporated1 and the extent to which the expansive principle is used in working the steam4 ,it is evident that this amount of mechanical effect is a major limit1 which cannot be exceeded by the power of the engine4 ,if the steam be not worked expansively1 then the whole power of the water1 transmitted in the form of steam from the boiler to the working machinery1 will be a matter of easy calculation1 when the pressure at which the steam is worked is known4 ,a table1 exhibiting the mechanical power of a cubic foot of water converted into steam at various pressures1 expressed in an equivalent number of pounds' weight raised one foot high1 is given in the ,appendix to this volume4 ,where much accuracy is sought for1 the pressure at which the steam is used must be taken into account2 but by reference to the table it will be seen1 that when steam is worked without expansion1 its mechanical effect varies very little with the pressure4 ,it may therefore be assumed1 as has been already stated1 that for every cubic inch of water transmitted in the form of steam to the cylinders1 a force is produced1 represented by a ton weight raised a foot high4 ,now1 as #cc1jjj lbs4 is very nearly #ae tons1 it follows that #ae cubic inches of water converted into steam per minute1 or #ijj cubic inches per hour1 will produce a mechanical force equal to one horse4 ,if1 therefore1 to #ijj cubic inches be added the quantity of water per hour necessary to move the engine itself1 independently of its load1 we shall obtain the quantity of water per hour which must be supplied by the boiler to the engine for each horse-power1 and this will be the same whatever may be the magnitude or proportions of the cylinder4 7#agc47 ,the quantity of power expended in working the engine itself1 independently of that required to move its load1 will be less in proportion to the degree of perfection which ,pg#bij may be attained in the construction of the engine1 and to the order in which it is kept while working4 ,engines vary one from another so much in these respects1 that it is scarcely possible to lay down any general rules for the quantity of power to be allowed over and above what is necessary to move the load4 ,the means whereby mechanical power is expended in working the engine may be enumerated as follows3-- ,first4 ,steam in passing from the boiler to the cylinder is liable to lose its temperature by the radiation of the steam-pipes and other passages through which it is conducted4 ,since the steam produced in the boiler is in contact with water1 it will be common steam 7#id471 and consequently the least loss of heat will cause a partial condensation4 ,to whatever extent this condensation may be carried1 a proportional loss of power1 in reference to the heat obtained from the fuel1 will be entailed upon the engine4 ,it has been said that the force necessary to move the steam from the boiler to the cylinder through passages more or less contracted1 subject to the friction of the pipes and tubes through which it moves1 should be taken into account in estimating the power1 and a corresponding deduction made4 ,this1 however1 is not the case3 the steam having passed into the cylinder remains common steam1 its pressure being diminished by reason of the force expended in thus moving it from the boiler to the cylinder4 ,but its mechanical efficacy at the reduced pressure is not sensibly different from the efficacy which it had in the boiler4 ,if at the reduced pressure its volume were the same1 then a loss of effect would be sustained equivalent to the difference of the pressures2 but its volume being augmented in very nearly the same proportion as its pressure is diminished1 the mechanical efficacy of a given weight of steam in the cylinder will be sensibly the same as in the boiler4 ,second4 ,the radiation of heat from the cylinder and its appendages1 will cause a partial condensation of steam1 and thereby produce a diminished mechanical effect4 ,third4 ,the steam1 which at each stroke of the piston fills the passages between the steam-valves and the piston1 at the ,pg#bia moment the latter commences the stroke will be inefficient4 ,if it were possible for the piston to come into steam-tight contact with each end of the cylinder1 and that the steam-valve should be in immediate contact with the side or top of the piston1 then the whole of the steam which would pass through the steam-valve would be efficient2 but as some space1 however small1 must remain between the piston and the ends of the cylinder1 and between the side of the cylinder and the steam-valve1 there will always be a volume of steam bearing a sensible proportion to the magnitude of the cylinder1 which at each stroke of the piston will be inefficient4 ,this volume of steam is called the clearance4 ,fourth4 ,since the piston must move in steam-tight contact with the cylinder1 it must have a definite amount of friction with the sides of the cylinder by whatever means it may be packed4 ,this friction will produce a corresponding resistance to the moving power4 ,fifth4 ,the various joints of the machinery where steam is contained are subject to leakage1 and whatever amount of steam shall thus escape must be placed to the account of power lost4 ,sixth4 ,when the eduction-valve is opened to admit the steam to the condenser1 a certain force is required to expel the steam from the cylinder4 ,this force reacts upon the piston1 and counteracts to a proportional extent the moving power of the steam on the other side4 ,besides this the water in the condenser cannot be conveniently reduced below the temperature of about #ajj1 and at this temperature steam has a pressure of about #a lb4 per square inch4 ,this vapour will continue to fill the cylinder1 and will resist the moving power which impels the piston4 ,seventh4 ,power must be provided for opening and closing the valves or slides1 for working the air-pump1 hot-water pump1 and cold-water pump1 and finally to overcome the friction on the journals and centres of the parts of the parallel motion1 the main axle of the beam1 the connecting rod1 crank1 and fly-wheel axle4 ,it will be apparent how very much these sources of resistances must vary in different engines1 and how rough ,pg#bib an approximation any general estimate must be of their gross amount4 7#agd47 ,there are many circumstances which obstruct the practical application of any standard of engine-power3 the magnitude of furnace1 and the extent of heating surface necessary to produce any required rate of evaporation in the boiler1 are unascertained2 each engine-maker has his own rule in these matters1 and all the rules are equally unsupported by any experimental test entitled to respect4 ,thus the circumstances that govern the rate of evaporation in the boiler may be regarded as almost wholly unknown4 ,but supposing the rate of evaporation to be ascertained1 the amount of power absorbed by the condensation of steam on its passage to the cylinder1 the imperfect condensation of the same steam after it has worked the piston1 the friction of the various moving parts of the machinery1 and1 above all1 the difference of effect of these losses of power in engines constructed on different scales of magnitude1 are absolutely unknown4 ,we are1 therefore1 not placed in a condition to assign any thing more than a general account of what has been the practice of engine-makers in constructing engines which are nominally of a certain power4 ,in common low-pressure engines of the larger kind1 to which class alone we at present refer1 it has been usual1 with the same fuel and under like circumstances1 to allow from #aj to #ah square feet of heating surface in the boiler for every nominal horse-power of the engine4 ,within these wide limits the practice of engine-makers has varied4 ,it is not1 however1 to be supposed1 that the boiler with #ah square feet of surface per horse-power has the same evaporating power as that which has but #aj4 ,this difference1 therefore1 amounts to nothing more than different manufacturers of steam-engines putting into circulation boilers having powers really different while they are nominally the same4 ,the magnitude of the cylinder is regulated by the nominal power of the engine1 and it is usual so to regulate the evaporating power of the boiler1 that the piston shall move at the average rate of #bjj feet per minute4 ,this being assumed1 it is customary to allow about #bb square inches of piston ,pg#bic surface for every nominal horse-power of the engine4 ,if this power were in conformity to the standard already defined1 this amount of surface moved at #bjj feet per minute would be impelled by a pressure amounting to #g-a_/b lbs4 per square inch4 ,the safety-valve of the boiler of such engines is usually loaded at from #d to #e lbs4 per square inch1 and consequently the steam in the boiler will have a pressure of from #ai to #bj lbs4 per square inch4 ,if1 therefore1 the effective pressure on the piston be really only #g-a_/b lbs4 per square inch1 the pressure expended in overcoming the friction of the engine1 and the loss consequent on the partial condensation of steam on one side and its imperfect condensation on the other1 would amount to from #ab to #ac lbs4 per square inch1 or nearly double the assumed useful effect of the engine4 ,messrs4 ,maudslay and ,field are accustomed to allow an evaporation of ten gallons1 or #af cubic feet of water per hour1 for each nominal horse-power of the engine4 ,they also allow about #bb square inches of piston surface per nominal horse-power1 the piston being supposed to move at the rate of #bjj feet per second4#bd ,the quantity of grate surface necessary in proportion to the power of the engine1 has been equally unascertained1 and engine-makers vary in their practice from half a square foot to one square foot per nominal horse-power4 ,the proportion which the magnitude of the heating surface of the boiler1 and the fire surface of the grate bears to the evaporating power of the boiler1 has not been determined by experiment1 nor1 so far as we are informed1 by any well-ascertained practical results4 ,the estimates or rather conjectures of engine-makers1 of the evaporation necessary to produce one horse-power1 vary from one to two cubic feet of water per hour4 ,it has been ,pg#bid already shown that the evaporation of #ijj cubic inches1 or little more than half a cubic foot per hour1 evolves a gross mechanical effect representing one horse-power2 from which it appears1 that if the evaporation of the boilers of steam engines were what engineers suppose them to be1 the gross mechanical power produced in them for every nominal horse-power of the engine varies in actual amount from the power of two to that of four horses4 ,the above estimates must be understood as referring to double-acting steam engines above thirty-horse power4 ,the circumstances attending the performance of single-acting engines applied to the drainage of mines1 have been ascertained with much greater precision4 ,this has been mainly owing to a spirited system of general inspection1 which has been established in ,cornwall1 to which we shall hereafter more particularly advert4 7#age47 ,in expressing the duty of engines1 it would have been desirable that the duty of the boiler should have been separated from that of the engine4 ,the duty of a boiler is estimated by the volume of water evaporated by a given quantity of fuel1 independently of the time which such evaporation may take4 ,the duty1 therefore1 will be expressed by the number of cubic feet of water evaporated1 divided by the number of bushels of coal necessary for that evaporation1 supposing the bushel of coal to be the unit of fuel4 ,it will be observed that the duty of an engine or boiler is entirely distinct from1 and independent of1 its power4 ,one boiler may be greater than another in power to any extent1 while it may be equal to or less than it in duty4 ,a bushel of coals may evaporate the same number of cubic feet of water under two boilers1 but may take twice as great a time to produce such evaporation under one than under the other4 ,in such a case the power of one boiler will be double that of the other1 while their duty will be the same4 ,in like manner1 a bushel of coals consumed in working two engines may produce the same useful effect1 but it may produce that useful effect in the one in half the time it takes to produce it in the other4 ,in that case the duty of the engines will be the same1 but the power of the one will be double that of the other4 ,pg#bie ,in fine1 power has reference to time1--duty1 to fuel4 ,the more rapidly the engine produces its mechanical effect1 the greater its power will be1 whatever may be the fuel consumed in working it4 ,and1 on the other hand1 the greater the useful effect produced by a given weight of fuel1 the greater will be the duty1 however long the time may be which the fuel may take to produce the useful effect4 7#agf47 ,the proportion of the stroke to the diameter of the cylinder must be determined by the velocity intended to be given to the piston4 ,with the same capacity of cylinder1 and the same evaporation in the boiler1 the velocity of the piston will augment as the magnitude of its diameter is diminished4 ,the proportion of the diameter to the stroke of the cylinder is very various4 ,in engines used for steam-vessels the length of the cylinder very little exceeds its diameter4 ,in land engines1 however1 the proportion of the length to the diameter is greater4 ,it is maintained by some that the proportion of the diameter and length of the cylinder should be such as to render its surface exposed to the cooling of the external air1 the smallest possible4 ,tredgold has maintained that since1 during the stroke1 the steam is gradually exposed to contact with the surface of the cylinder from the top to the bottom1 the mean surface exposed in contact with steam being half that of the entire cylinder1 the proportion of the diameter to the stroke should be such that the surface of half the length of the cylinder1 added to the magnitude of the top and bottom1 shall be a minimum4 ,if this principle be admitted1 then the best proportion of the diameter to the stroke would be that of one to two1 the length of the stroke being twice the diameter of the cylinder2 but since the whole surface of the cylinder is constantly exposed to the cooling effects of the air1 and since in the intervals of the stroke there is no sensible change of the temperature of the surface1 the loss of heat by cooling will in effect be the same1 especially in double-acting engines1 as if the cylinder were constantly filled with steam4 ,if this be admitted1 then the object should be to give the cylinder such a proportion1 that its entire surface1 including the top and bottom1 shall be a minimum4 ,pg#bif ,the proportion given by this condition would be very nearly that which is observed in the cylinders of marine engines1 viz4 that the length of the cylinder should be equal to its diameter4 ,if in a low-pressure engine the pressure of steam in the cylinder be taken at #ag lbs4 per square inch1 then the volume of steam will be about fifteen hundred times that of the water which produces it4 ,for every cubic foot of water1 therefore1 in the effective evaporation of the boiler1 #aejj cubic feet of steam will be passed through the cylinder4 ,if it be intended that the motion of the piston shall be at the rate of #be strokes per minute1 or #aejj strokes per hour1 then the capacity of that portion of the cylinder between the steam-valve and the piston at the end of the stroke1 must consist of half as many cubic feet as there are cubic feet per hour evaporated in the boiler4 ,if the steam1 therefore1 be cut off at half stroke1 the number of cubic feet of space in the cylinder will be equal to the number of cubic feet of water effectively evaporated by the boiler2 and if a cubic foot of water effectively evaporated be taken as the measure of a horse-power1 then there would be as many cubic feet in the capacity of the cylinder as is equal to the nominal power of the engine4 7#agg47 ,the duty of engines varies according to their form and magnitude1 the circumstances under which they are worked1 and the purposes to which they are applied4 ,in double-acting engines working without expansion1 the coal consumed per nominal horse-power per hour varies from #g to #ab lbs4 ,an examination of the steam-logs of several government steamers made by me a few years since1 gave1 as the average of consumption of fuel at that time of the best class of marine engines1 about #h lbs4 per nominal horse-power per hour4 ,since1 however1 no account could be obtained of the actual evaporation of water in the boiler1 nor1 with the necessary degree of precision1 of the quantity and pressure of the steam which passed through the cylinders1 this estimate must be regarded as an approximation subject to several causes of error4 ,the question of the duty of boilers and engines applied to the ,pg#big general purposes of manufactures and navigation1 is one which has not yet been satisfactorily investigated2 and it were much to be desired that the proprietors of such engines should combine to establish a strict analysis of their performance in reference to their consumption of fuel1 their evaporation of water1 and their useful effects4 ,the results of such an investigation1 if properly conducted1 would perhaps tend more to the improvement of the steam engine than any discoveries in science1 or inventions in mechanical detail likely to be made in the present stage of the progress of that machine4 7#agh47 ,a strict investigation of this kind has been for many years carried on respecting the performance of the steam engines used for the drainage of the mines in ,cornwall2 and it has been attended with effects the most beneficial to the interests of those concerned in them4 ,the engines to which this important inquiry has been applied being used for the purpose of pumping1 are generally single-acting engines1 in which steam is used expansively to a great extent4 ,the steam is produced under a very high pressure in the boiler1 and being admitted to the cylinder is cut off after a small portion of the entire stroke has been made1 the remainder of the stroke being produced by the expansion of the steam4 ,about the year #ahaa1 a number of the proprietors of the principal ,cornish mines agreed to establish this system of inspection1 under the management and direction of ,captain ,joel ,lean1 and to publish monthly reports4 ,in these reports were stated the following particulars3--#a4 ,the load per square inch on the piston2 #b4 ,the consumption of coal in bushels2 #c4 ,the number of strokes made by the engine2 #d4 ,the length of the strokes in the pumps2 #e4 ,the load in pounds2 #f4 ,the duty of the engine1 expressed by the number of pounds raised one foot high by the consumption of a bushel of coals2 #g4 ,the number of strokes per minute2 #h4 ,the diameter and stroke of the cylinder1 and a general description of the engine4 ,when these reports were commenced1 the number of engines brought under inspection was twenty-one4 ,in the year #ahac it increased to twenty-nine2 in #ahad to thirty-two2 in #ahbj the number reported upon increased ,pg#bih to forty2 in #ahbh the number was fifty-seven2 and in #ahcf it was sixty-one4 ,this gradual increase in the number of engines brought under this system of inspection1 was produced by the good effects which attended it4 ,these beneficial consequences were manifested1 not only in the improved performance of the same engines1 but in the gradually improved efficiency of those which were afterwards constructed4 ,the following table taken from the statement of the duty of ,cornish engines by ,thomas ,lean and brother1 lately published by the ,british ,association1 will show in a striking manner the improvement of the ,cornish engines1 from the commencement of this system of inspection to the present time4 ,the duty is expressed by the number of pounds raised one foot high by the consumption of a bushel of coals4 ---------------------------------------- ---------------------------------------- ---------------------------------------- ------ ,no4 of ,average ,duty of the ,average ,duty of the best ,years4,engines4 ,whole4 ,engine4 ---------------------------------------- ---------------------------------------- -------------------------------------- #ahab #ba #ai1cjj1jjj #ahac #bi #ai1ejj1jjj #bf1djj1jjj #ahad #cb #bj1fjj1jjj #cb1jjj1jjj #ahae #ce #bj1ejj1jjj #bh1gjj1jjj #ahaf #ce #bc1jjj1jjj #cb1djj1jjj #ahag #ce #bf1ejj1jjj #da1fjj1jjj #ahah #cf #be1djj1jjj #ci1cjj1jjj #ahai #dj #bf1cjj1jjj #dj1jjj1jjj #ahbj #df #bh1gjj1jjj #da1cjj1jjj #ahba #de #bh1bjj1jjj #db1hjj1jjj #ahbb #eb #bh1ijj1jjj #db1ejj1jjj #ahbc #eb #bh1bjj1jjj #db1ajj1jjj #ahbd #di #bh1cjj1jjj #dc1ejj1jjj #ahbe #ef #cb1jjj1jjj #de1djj1jjj #ahbf #ea #cj1ejj1jjj #de1bjj1jjj #ahbg #ea #cb1ajj1jjj #ei1gjj1jjj #ahbh #eg #cg1ajj1jjj #gf1hjj1jjj #ahbi #ec #da1gjj1jjj #gg1jjj1jjj #ahcj #ef #dc1cjj1jjj #gh1jjj1jjj #ahca #eh #dc1djj1jjj #ga1ajj1jjj #ahcb #ei #de1jjj1jjj #he1jjj1jjj #ahcc #ef #df1fjj1jjj #hd1cjj1jjj #ahcd #eb #dg1hjj1jjj #ij1ijj1jjj #ahce #ea #dg1hjj1jjj #ia1gjj1jjj #ahcf #fa #df1fjj1jjj #he1djj1jjj #ahcg #eh #dg1jjj1jjj #hg1bjj1jjj #ahch #fa #dh1gjj1jjj #hd1bjj1jjj ---------------------------------------- ---------------------------------------- -------------------------------------- ,pg#bii ,as an example of the beneficial effects produced upon the efficiency of an individual engine by the first application of this system of inspection1 the case of the ,stray ,park engine may be mentioned4 ,this engine1 constructed by ,boulton and ,watt1 had a sixty inch cylinder1 and when first reported in #ahaa1 its duty amounted to #af1jjj1jjj pounds4 ,after having been reported on for three years1 its duty was found to have increased to #cb1jjj1jjj2 this estimate being taken from the average result of twelve months' performance4 ,its duty was doubled in less than three years4 ,it will appear1 by inspection of the duties registered in the preceding table1 that the augmentation of the efficiency of the engines has not been the effect of any great or sudden improvement1 but has rather resulted from the combination of a great number of small improvements in the details of the operation of these machines4 ,in these improvements more is due to the successful application of practical experience than to any new principles developed by scientific research4 ,mr4 ,john ,taylor1 in his ,records of ,mining1 has traced the successive improvements on which the increased duty of engines depends1 and has connected these improvements with their causes in the order of their dates4 ,the following results1 abridged from his estimates1 may not be uninteresting3-- ,in #agfi1 soon after the date of the earliest discoveries of ,mr4 ,watt1 but before they had come into practical application1 ,smeaton computed that the average duty of fifteen atmospheric engines1 working at ,newcastle-on-,tyne1 was #e1eij1jjj4 ,the duty of the best of these engines was #g1ddj1jjj1 and that of the worst #c1bbj1jjj4 ,in #aggb1 ,smeaton commenced his improvements on the atmospheric engine1 and raised the duty to #i1dej1jjj4 ,in #aggf1 ,watt obtained a duty of #ba1fjj1jjj4 ,at this time ,smeaton acknowledged that ,watt's engines gave a duty amounting to double that of his own4 ,in #aggh-gi1 ,watt reported a duty of #bc1djj1jjj4 ,from #aggi to #aghh1 ,watt introduced the application of expansion1 and raised the duty to #bf1fjj1jjj4 ,pg#cjj ,in #agih1 an engine by ,boulton and ,watt1 erected at ,herland1 was reported as giving a duty of #bg1jjj1jjj4 ,this engine1 which was probably the best which at that time had ever been erected1 attracted the particular attention of ,mr4 ,watt1 who1 on visiting ,cornwall1 went to see it1 and had many experiments tried with it4 ,it was under the care of ,mr4 ,murdock1 the agent of ,messrs4 ,boulton and ,watt in ,cornwall4 ,when ,mr4 ,watt inspected it he pronounced it perfect1 and that further improvement could not be expected4 ,how singular an instance this of the impossibility1 even of the most sagacious1 to foresee the results of mechanical improvement6 ,in twenty years afterwards the average duty of the best engine was nearly #dj1jjj1jjj1 and in forty years it was above #hd1jjj1jjj4 ,illustration3 ,,boiler ,,manufactory4 ,,footnotes3 #bd ,if #bb square inches of piston surface be allowed to represent a horse-power1 the power of an engine may always be computed by dividing the square of the diameter of the piston expressed in inches by #bh4 ,and1 on the other hand1 to find the diameter of piston which would correspond to any given power1 multiply the number of horses' power by #bh1 and take the square root of the product4 ,these rules1 however1 cannot be applied if the piston be supposed to move with any other velocity2 since1 in that case1 the same amount of piston surface would cease to represent a horse-power1 unless the effective pressure on the piston were at the same time changed4 ,pg#cja ,illustration3 ,,watt',s ,,chapel ,,in ,,handsworth ,,church4 ,,chap4 ,x4 ,,notice ,,of ,,the ,,life ,,of ,,mr4 ,,watt4 -- ,,his ,,friends ,,and ,,associates ,,at ,,birmingham4 -- ,,invention ,,of ,,the ,,copying ,,press4 -- ,,heating ,,by ,,steam4 -- ,,drying ,,linen ,,by ,,steam4 -- ,,theory ,,of ,,the ,,composition ,,of ,,water4 -- ,,first ,,marriage ,,of ,,watt4 -- ,,death ,,of ,,his ,,first ,,wife4 -- ,,his ,,second ,,marriage4 -- ,,death ,,of ,,his ,,younger ,,son4 -- ,,extracts ,,from ,,his ,,letters4 -- ,,character ,,of ,,watt ,,by ,,lord ,,brougham4 -- ,,by ,,sir ,,walter ,,scott4 -- ,,by ,,lord ,,jeffrey4 -- ,,occupation ,,of ,,his ,,old ,,age4 -- ,,invention ,,of ,,machine ,,for ,,copying ,,sculpture4 -- ,,his ,,last ,,days4 -- ,,monuments4 7#agi47 ,having brought this historical analysis of the invention and application of the steam engine to the date of the decease of the illustrious man1 to the powers of whose mind the world stands indebted for the benefits conferred upon ,pg#cjb mankind by that machine1 it will perhaps not be deemed an improper digression in this work1 to devote some pages to a notice of the principal labours of the same mind in other departments of art and science1 and to circumstances connected with his personal history and the close of his life1 which cannot fail to possess general interest4 ,at the period when ,watt1 having connected himself in partnership with ,boulton1 went to reside at ,soho1 near ,birmingham1 a number of persons1 some of whom have since attained great celebrity by their discoveries and their works1 and all of whom were devoted to inquiries connected with the arts and sciences1 resided in that neighbourhood4 ,among these may be mentioned ,,priestley1 whose discoveries in physical science have rendered his name immortal2 ,,darwin1 the philosopher and poet2 ,,withering1 a distinguished physician and botanist2 ,,keir1 a chemist1 who published a translation of ,macquer1 with annotations2 ,,galton1 the ornithologist2 and ,,edgeworth1 whose investigations respecting wheeled carriages and other subjects1 have rendered him well known4 ,a society was formed by these and other individuals1 of which ,boulton and ,watt were leading members1 the meetings of which were held monthly on the evening of full moon1 and which was thence called the ,lunar ,society4 ,at the meetings of this society1 subjects connected with the arts and sciences were discussed1 and out of those discussions occasionally arose suggestions not unattended with important and advantageous consequences4 ,at one of these meetings1 ,darwin stated that he had discovered a pen formed with two quills1 by means of which1 at a single operation1 an original and a copy of a letter might be produced4 ,watt almost instantly observed that he thought he could find a better expedient1 and that he would turn it in his mind that night4 ,by the next morning the ,,copying ,,press was invented1 for which he afterwards obtained a patent4 ,this machine1 which is now so generally used in counting-houses1 consists of a rolling-press1 by which a leaf of thin paper1 previously damped1 is pressed upon the letter to be copied4 ,the writing1 of which the ink is not yet quite dry1 leaves its impression upon the thin paper thus pressed upon ,pg#cjc it1 and the copy taken in this manner is read through the semi-transparent paper4 ,if a letter be written with ink suitable for this purpose1 a copy may be taken at any time within several hours after the letter is written4 ,the method of heating apartments and buildings by steam1 which has since been improved and brought into extensive use1 was likewise brought forward by ,watt4 ,although this contrivance had been previously pointed out by ,sir ,hugh ,platt about the middle of the seventeenth century1 and by ,colonel ,cooke in #agde1 yet these suggestions remained barren4 ,mr4 ,watt gave detailed methods of heating buildings by steam#be2 and also invented a machine for drying linen by steam1 a description of which he communicated to ,dr4 ,brewster1 which was read in ,december1 #ahbd1 before the ,society for promoting ,useful ,arts in ,scotland4#bf ,but the circumstance1 exclusive of those connected with the invention of the steam engine1 which is by far the most memorable in the career of ,watt1 is the share which he had in the discovery of the composition of water4 ,as this circumstance has recently excited much interest1 and led to some controversy1 we shall here state1 as distinctly as possible1 the leading facts connected with it4 ,water1 which was so long held to be a simple element1 has1 in modern times1 been proved to be a substance consisting of two aeriform bodies or gases chemically combined4 ,these two gases are those called in chemistry oxygen and hydrogen4 ,if eight grains weight of oxygen be mixed with one grain weight of hydrogen1 and the mixture be submitted to such effects as would cause the chemical combination of these two airs1 it would be converted into nine grains weight of pure water4 ,if1 on the other hand1 nine grains weight of pure water be submitted to any conditions which would separate its constituent parts1 the result would be eight grains weight of oxygen gas1 and one grain weight of hydrogen gas4 ,there are a variety of methods in physics by which these effects would be ,pg#cjd produced4 ,it will be sufficient here to state one method of producing each of the above changes4 ,if eight grains weight of oxygen be inclosed in a strong vessel with one grain weight of hydrogen1 all other substances being excluded1 and the mixture be inflamed1 an explosion will take place1 the gases will disappear1 and a small quantity of water will be the only substance remaining in the vessel4 ,if this water be weighed1 it will be found to weigh exactly nine grains4 ,it is known that the metals have a strong attraction for oxygen gas1 and this attraction is promoted by elevating their temperature4 ,if a glass tube be filled with iron wire heated to redness1 and to one end of this tube a small vessel of boiling water be attached1 the steam evolved from the water will force its way through the spaces between the red-hot wires in the tube1 and would be expected to issue from the remote end2 but if the substance issuing from the remote end of the tube be examined1 it will be found to be not steam1 but hydrogen gas4 ,if the quantity of this gas be ascertained by weight1 and also the quantity of weight lost by the vessel of water at the other end of the tube1 it will be found that the loss of weight of the water by evaporation will be nine times the weight of the hydrogen which has issued from the remote end of the tube4 ,if the weight of the tube with the wire contained in it be next ascertained1 it will be found to be increased by eight times the weight of the hydrogen which has issued from its remote end4 ,from this it follows that the weight of the hydrogen which has escaped from the tube1 added to the increase of weight which has been given to the wire in the tube1 makes up the whole weight of the water evaporated4 ,if the wire in the tube be next examined1 it will be found that it has suffered oxydation1 or1 in other words1 that a new substance has been formed in it called the oxyde of iron1--such substance being a chemical compound formed of oxygen gas and iron4 ,it follows1 therefore1 that in this process the vapour of the water1 in passing through the tube1 has been decomposed1 and that1 having given up to the iron its oxygen1 the hydrogen ,pg#cje alone escaped from the other end2 and for every nine grains weight of steam which passed through the tube1 eight grains of oxygen have been combined with the iron1 and one grain of hydrogen has escaped from the end of the tube4 ,such are the class of effects on which the modern discovery of the composition of water has been based4 ,the merit of that discovery has been shared between the celebrated ,english chemist1 ,,cavendish1 and the not less celebrated ,french chemist1 ,,lavoisier1 the chief merit1 however1 being ascribed to the former4 ,we shall now briefly state the facts which led to this discovery1 with their dates1 which will necessarily show the share which ,watt had in it4 ,when pure hydrogen gas is burned in an atmosphere of common air1 the process which takes place is now known to be nothing more than the chemical combination of the hydrogen with eight times its own weight of oxygen taken from the atmosphere1 and the product of the combustion is a quantity of water nine times the weight of the hydrogen consumed4 ,in the year #aggf1 ,macquer1 a well-known chemist of that day1 having held a saucer of white porcelain over a flame of hydrogen which was burning at the mouth of a bottle1 observed that no smoke was produced and no soot deposited on the saucer4 ,on the other hand1 he found that after the lapse of some time drops of a clear pellucid liquid were perceptible on the saucer3 this liquid he submitted to analysis1 and found it to be pure water4 ,macquer mentioned this fact without comment or inference4 ,it did not occur to him that the water thus produced upon the saucer was a substance which contained the hydrogen1 which disappeared upon combustion from the bottle4 ,on the #ahth of ,april1 #agha1 ,mr4 ,warltire addressed a letter to ,dr4 ,priestley1 dated ,birmingham1 which letter is published in ,dr4 ,priestley's ,experiments on ,air1 printed at ,birmingham in #agha1 in which ,warltire informs ,priestley that he had fired a mixture of hydrogen and common air in close glass vessels1 and that1 although previously to firing the mixture the vessels were clean and dry1 a dewy deposit was ,pg#cjf observed afterwards on their sides4 ,in fact1 water was present which was not present before4 ,the mixture was in this case fired by passing an electric spark through the vessel2 and it is now known that the effect produced was the combination of the hydrogen1 which formed part of the mixture of airs in the vessel with the oxygen1 which also formed part of the same mixture4 ,it appears1 from expressions in ,warltire's letter1 that the same experiment had been previously made by ,priestley1 and the same result observed by him4 ,the inference deduced from this by ,warltire1 and apparently acquiesced in by ,priestley1 was1 that whenever hydrogen was fired in atmospheric air1 the moisture1 which is always more or less sustained in the latter1 was deposited2 but neither of these chemists perceived the real cause of the production of the water4 ,in the beginning of #aghc1 and not later than the #bast of ,april1 this experiment of ,warltire and ,priestley was repeated by ,cavendish1 with this difference1 that1 instead of exploding the mixture of hydrogen and common air1 ,cavendish exploded a mixture of hydrogen and oxygen4 ,he observed that water was present after the explosion1 but inferred nothing4 ,in a published paper dated ,april1 #aghc1 ,priestley announced a further and most important result of his experiments4 ,this was1 that in examining the weight of water produced by the explosion of a mixture of oxygen and hydrogen1 that weight was found to be precisely equal to the sum of the weights of the two gases1 which disappeared in the process4 ,immediately on observing this1 ,priestley1 being then1 as has been already stated1 ,watt's near neighbour1 communicated to the latter what he had observed2 upon which ,watt immediately1 viz4 by a letter dated the #bfth of the same month1 declared that the inevitable consequence which followed from ,priestley's observations was1 that water was a substance compounded of oxygen and hydrogen deprived of ,pg#cjg a quantity of heat which was previously latent in them4#bg ,the letter containing this inference was communicated immediately by ,priestley to ,sir ,joseph ,banks1 then ,president of the ,royal ,society1 to be laid before that body2 and it is accordingly printed with its proper date in the #gdth volume of the ,philosophical ,transactions4 ,about two months after the date of ,mr4 ,watt's letter just quoted1 ,lavoisier made experiments on the combustion of oxygen and hydrogen1 and read a memoir before the ,academy of ,sciences in ,paris1 in which his views of the formation of water by the combination of these gases were developed4 ,this paper1 by ,lavoisier1 was afterwards printed in the ,memoirs of the ,academy in the year #aghd4 ,the experiments are there stated to have been made in the month of ,june1 #aghc2 and it is stated that ,sir ,charles ,blagden1 who was present at the experiments1 told ,lavoisier that ,mr4 ,cavendish had already burned the same gases in close vessels1 and obtained a very sensible quantity of water4 ,on the #aeth of ,january1 #aghd1 the celebrated paper by ,cavendish1 entitled ,experiments on ,air1 was read before the ,royal ,society1 and in this paper the composition of water by the union of oxygen and hydrogen is explained4 ,in a controversy which afterwards ensued on the respective ,pg#cjh claims of ,cavendish and ,lavoisier to credit for the discovery of the composition of water1 ,sir ,charles ,blagden stated that he had told ,lavoisier1 in ,june1 #aghc1 more than ,lavoisier acknowledged1 that he had not only told him that water was produced by the combustion of the gases1 but that his information embraced the whole theory of the composition of water4 ,this declaration of ,blagden was subsequent in date to ,january1 #aghd1 and there is no evidence of any explanation of this theory1 verbal or otherwise1 having been given by ,cavendish1 or any other person1 antecedent to ,april1 #aghc4 ,from this brief statement of the facts and dates it will appear that the merit of the discovery of the ,,fact1 that the weight of water resulting from the combustion of oxygen and hydrogen1 is equal to the sum of the weights of the oxygen and hydrogen which disappear in the combustion1 is due to ,priestley2 and that the merit of the ,,inference from that fact1 that water is a compound body1 whose constituents are oxygen and hydrogen1 is due to ,watt4#bh ,whether those who subsequently deduced the same inference1 and promulgated the same theory1 were or were not informed of ,mr4 ,watt's solution of the phenomenon1 or what credit may be due to any person1 however eminent1 who at any time posterior to ,mr4 ,watt's letter to ,priestley1 asserted that they had1 at a time antecedently to that1 made the same inference without having published it1 or communicated it in such a manner as to establish their claim upon rational and credible evidence1 are questions which we shall not here discuss1 being contented with establishing the right of ,mr4 ,watt to the merit of the discovery of the ,,theory which explained the ,,fact discovered by ,priestley4 ,even in his declining years1 after he had withdrawn from the active pursuits of his business1 the least excitement was sufficient to call into play the slumbering powers of his inventive genius4 ,no object could present itself to his notice ,pg#cji without receiving from that genius adaptation in form and construction to useful purposes4 ,as an example of this restless activity of mind the following anecdote may be mentioned3-- ,a company at ,glasgow had erected on the right bank of the ,clyde extensive buildings and powerful engines for supplying water to the town4 ,after this expense it was found that a source of water1 of very superior quality1 existed on the left bank of the river4 ,to change the site of the establishment1 after the expense which had been incurred in its erection could not be contemplated1 and they therefore proposed to carry across the bottom of the river a flexible suction pipe1 the mouth of which should terminate in the source from which the pure water was to be derived4 ,this pipe was to be supported by a flooring constructed upon the bed of the river2 but it was soon apparent that the construction of such a flooring on a shifting and muddy bottom1 full of inequalities1 and under several feet depth of water would require a greater expenditure of capital than could with propriety be afforded4 ,in this difficulty the aged mechanician1 for whom ,glasgow itself had been the earliest stage of professional labour1 was applied to1 and instantly solved the problem4 ,his attention is said to have been attracted by a lobster which had been served at table3 he set himself about to contrive how1 by mechanism1 he could make an apparatus of iron with joints which should have all the flexibility of the tail of the lobster4 ,he therefore proposed that an articulated suction-pipe1 capable of accommodating itself to all the inequalities and to the possible changes of the bed of the river1 should be carried across it2 that this flexible pipe should be two feet in diameter1 and one thousand feet in length4 ,this project the company accordingly caused to be executed after the plans and drawings of ,watt with the most complete success4#bi ,pg#caj ,among the less prominent1 though not less useful services rendered by ,watt to his country1 may be mentioned the introduction of the use of chlorine in bleaching4 ,that invention of ,berthollet was introduced into ,england by ,watt after his visit to ,paris at the close of the year #aghf4 ,he constructed all the necessary apparatus for it1 directed its erection1 and superintended its first performances4 ,he then left it to his wife's father1 ,mr4 ,macgregor1 to carry on the processes4 ,when the properties of the gases began to occupy the attention of chemists1 attempts were made to apply them as a means of curing diseases of the lungs4 ,dr4 ,beddoes pursued this inquiry with great activity1 and established1 through the means of private subscription1 at ,clifton1 an institution in which this method of cure was carefully investigated4 ,the ,pneumatic ,institution 7for so it was called7 has been rendered celebrated for having at its head ,humphry ,davy1 just then commencing his scientific career4 ,among its founders was also numbered ,james ,watt4 ,not content1 however1 with affording the institution the sanction of his name1 he designed and caused to be constructed1 at ,soho1 the apparatus used for making the gases and administering them to the patients4 ,as the exalted powers of the mind of ,watt1 unfolded in his numerous mechanical and philosophical inventions and discoveries1 have commanded the admiration and respect of his species1 the affection and love of his fellow men would not have been less conciliated1 had the qualities of his heart1 as developed in his private and personal relations1 been as well known as the products of his genius4 ,in the year #agfd1 ,watt being then in the twenty-ninth year of his age1 married his cousin1 ,miss ,miller4 ,at this time he had fallen into a state of despondency from his disappointments1 which produced a serious attack of nervous illness4 ,the accomplishments and superior understanding1 the mildness of temper and goodness of disposition of his wife1 soon restored him to health4 ,of this marriage four children1 two sons and two daughters1 were the issue4 ,two of these children died in infancy2 another1 a daughter1 was married to ,mr4 ,miller of ,glasgow2 and the fourth is the ,pg#caa present ,mr4 ,james ,watt4 ,in ,september1 #aggc1 while her husband was engaged in the design of the ,caledonian canal in the ,north of ,scotland1 ,mrs4 ,watt died in child-bed of a fifth child1 who was still-born3 ,would that ,i might here transcribe1 says ,m4 ,arago1 in all their simple beauty1 some lines of the journal in which he daily recorded his inmost thoughts1 his fears1 his hopes6 ,would that you could see him1 after this heavy affliction1 pausing on the threshold of that home1 where ',,his ,,kind ,,welcomer' awaited him no more2 unable to summon courage to enter those rooms where he was never more to meet ',,the ,,comfort ,,of ,,his ,,life6' ,possibly1 so faithful a picture of a very deep sorrow might at last put to silence those obstinate theorists1 who1 without being struck by the thousands of instances to the contrary1 do yet refuse qualities of the heart to every man whose intellect has been fostered by the fertile1 sublime1 and imperishable truths of the exact sciences6 ,after the lapse of some years ,watt married ,miss ,macgregor1 a person who is represented to have possessed qualities of mind which rendered her a companion every way suitable to her husband4 ,this lady survived ,watt1 and died in #ahcb at an advanced age4 ,two children were the issue of this second marriage4 ,in the year #ahjj the extended patent right1 which had been granted to ,boulton and ,watt for their improved engine1 expired1 and at this time ,mr4 ,watt retired altogether from business4 ,he was succeeded by his two sons1 the present ,mr4 ,james ,watt1 and ,gregory1 one of the children of his second marriage4 ,the works at ,soho continued to be conducted by the present ,mr4 ,boulton1 the son of the partner of ,mr4 ,watt1 and the two ,messrs4 ,watt4 ,in #ahjd ,gregory ,watt died at the age of twenty-seven1 of a disease of the chest4 ,this afflicting event was deeply felt by ,mr4 ,watt2 but he did not sink under it into that state of despondency in which he has been represented to have fallen by ,m4 ,arago4 ,on the contrary1 he continued to show the same activity of mind which had characterised his whole ,pg#cab life2 nor did he lose that interest which he always took in the pursuit of literature and in society4 ,the state of his feelings under this affliction is shown by the following extracts from letters written by him at that time1 which have been published by ,mr4 ,muirhead4 ,heathfield1 ,january #bfth1 #ahje4 99 99 ,i1 perhaps1 have said too much to you and ,mrs4 ,campbell on the state of my mind4 ,i1 therefore1 think it necessary to say that ,i am not low spirited2 and were you here1 you would find me as cheerful in the company of my friends as usual2 my feelings for the loss of poor ,gregory are not passion1 but a deep regret that such was his and my lot4 ,i know that all men must die1 and ,i submit to the decrees of nature1 ,i hope with due reverence to the ,disposer of ,events4 ,yet one stimulus to exertion is taken away1 and1 somehow or other1 ,i have lost my relish for my usual avocations4 ,perhaps time may remedy that in some measure2 meanwhile1 ,i do not neglect the means of amusement which are in my power4 ,heathfield1 ,april #hth1 #ahje4 99 99 ,it is rather mortifying to see how easily the want of even the best of us is dispensed with in the world2 but it is very well it should be so4 ,we here1 however1 cannot help feeling a terrible blank in our family4 ,when ,i look at my son's books1 his writings and drawings1 ,i always say to myself1 where are the mind that conceived these things1 and the hands that executed them8 ,in the course of nature1 he should have said so of mine2 but it was otherwise ordered1 and our sorrow is unavailing4 ,as ,catullus says3-- ---- ',nunc it1 per iter tenebricosum1 ,illuc1 unde negant redire quemquam4 ,at vobis male sit1 mal tenebr ,orci1 qu omnia bella devoratis6' ,but ,catullus was a heathen2 let us hope that he 7,g47 is now rejoicing in another and a better world1 free from our cares1 griefs1 and infirmities4 ,some one has said1 ,i shall not wholly die2 and ,gregory's name1 his merits and virtues1 will live at least as long as those do who knew him4 ,you are not1 from this1 to conceive that we give way to grief2 on the contrary1 you will find us as cheerful as we ought to be1 and as much disposed to enjoy the friends we have left as ever2 but we should approach to brutes if we had no regrets4 ,mr4 ,watt1 at the date of these letters1 had entered on his seventieth year1 a period after which great mental exertions are rarely made4 ,pg#cac ,in the summer of #ahai1 symptoms of indisposition manifested themselves which soon rendered ,watt aware of his approaching dissolution4 ,i am very sensible1 said he to his afflicted friends1 of the attachment you show me1 and ,i hasten to thank you for it1 as ,i am now come to my last illness4 ,he died on the #beth of ,august1 #ahai4 ,his remains were deposited in the church of ,handsworth1 near his estate of ,heathfield4 ,his son has raised over his grave a ,gothic chapel1 in the centre of which is placed a statue by ,chantrey4 ,the personal character of ,watt could not fail to excite the admiration and the love of those distinguished persons1 whose pride and happiness it was to be admitted to a share in the friendship of the great engineer4 ,among these were reckoned some of the men who will leave upon the present age the deepest and most lasting impressions of their genius1 and such persons have bequeathed to posterity the sentiments with which he inspired them4 ,we cannot here do more justice to the personal character of the subject of this notice than by repeating the portraiture of it which has been given by three of the most distinguished of his friends1 and of the most illustrious men of the present age4 ,at a meeting convened in #ahbd1 for erecting a monument to ,watt1 ,lord ,brougham pronounced a speech1 from which we extract the following observations3-- ,i had the happiness of knowing ,mr4 ,watt1 for many years1 in the intercourse of private life2 and ,i will take upon me to bear a testimony in which all who had that gratification ,i am sure will join1 that they who only knew his public merit1 prodigious as that was1 knew but half his worth4 ,those who were admitted to his society will readily allow that anything more pure1 more candid1 more simple1 more scrupulously loving of justice1 than the whole habits of his life and conversation1 proved him to be1 was never known in society4 ,one of the most astonishing circumstances in this truly great man1 was the versatility of his talents4 ,his accomplishments were so various1 the powers of his mind were so vast1 and yet of such universal application1 that it was hard to say whether we should most admire the extraordinary grasp of his understanding1 or the accuracy of nice research with which he could bring it to bear upon the most minute objects of investigation4 ,i forget of whom it was said1 that his mind resembled the trunk of an elephant1 which can pick up ,pg#cad straws1 and tear up trees by the roots4 ,mr4 ,watt1 in some sort1 resembled the greatest and most celebrated of his own inventions1 of which we are at a loss whether most to wonder at the power of grappling with the mightiest objects1 or of handling the most minute2 so that1 while nothing seems too large for its grasp1 nothing seems too small for the delicacy of its touch1 which can cleave rocks1 and pour forth rivers from the bowels of the earth1 and1 with perfect exactness1 though not with greater ease1 fashion the head of a pin1 or strike the impress of some curious die4 ,now1 those who knew ,mr4 ,watt1 had to contemplate a man whose genius could create such an engine1 and indulge in the most abstruse speculations of philosophy1 and could at once pass from the most sublime researches of geology and physical astronomy1 the formation of our globe1 and the structure of the universe1 to the manufacture of a needle or a nail2 who could discuss1 in the same conversation1 and with equal accuracy1 if not with the same consummate skill1 the most forbidding details of art and the elegances of classical literature1 the most abstruse branches of science and the niceties of verbal criticism4 ,there was one quality in ,mr4 ,watt which most honourably distinguished him from too many inventors1 and was worthy of all imitation--he was not only entirely free from jealousy1 but he exercised a careful and scrupulous self-denial1 and was anxious not to appear1 even by accident1 as appropriating to himself that which he thought belonged to others4 ,i have heard him refuse the honour universally ascribed to him1 of being the inventor of the steam engine1 and call himself simply its improver2 though1 in my mind1 to doubt his right to that honour1 would be as inaccurate as to question ,sir ,isaac ,newton's claim to his greatest discoveries1 because ,descartes in mathematics1 and ,galileo in astronomy and mechanics1 had preceded him2 or to deny the merits of his illustrious successor1 because galvanism was not his discovery1 though1 before his time1 it had remained as useless to science as the instrument called a steam engine was to the arts before ,mr4 ,watt4 ,the only jealousy ,i have known him to betray1 was with respect to others1 in the nice adjustment he was fond of giving to the claims of inventors4 ,justly prizing scientific discovery above all other possessions1 he deemed the title to it so sacred1 that you might hear him arguing by the hour to settle disputed rights2 and if you ever perceived his temper ruffled1 it was when one man's invention was claimed by1 or given to another2 or when a clumsy adulation pressed upon himself that which he knew to be not his own4 ,in the preface to the ,monastery ,sir ,walter ,scott speaks of ,watt in the following terms3-- ,there were assembled about half a score of our northern lights4 99 99 ,amidst this company stood ,mr4 ,watt1 the man whose genius discovered the means of multiplying our national resources to a degree1 perhaps1 even beyond his own stupendous powers of calculation and combination2 bringing the treasures of the abyss to the summit of the earth--giving the feeble arm of man the momentum of an ,afrite--commanding manufactures to arise as the rod of the prophet produced water in the desert--affording the means of dispensing with that time and tide which wait for no man--and of sailing without that wind which defied the command and threats of ,xerxes himself4 ,this potent commander of the elements--this abridger of time and space--this magician1 whose cloudy ,pg#cae machinery has produced a change on the world1 the effects of which1 extraordinary as they are1 are1 perhaps1 only now beginning to be felt--was not only the most profound man of science--the most successful combiner of powers1 and calculator of numbers1 as adapted to practical purposes--was not only one of the most generally well informed1 but one of the best and kindest of human beings4 ,there he stood1 surrounded by the little band ,i have mentioned of northern literati1 men not less tenacious1 generally speaking1 of their own fame and their own opinions1 than the national regiments are supposed to be jealous of the high character which they have won upon service4 ,methinks ,i yet see and hear what ,i shall never see or hear again4 ,in his eighty-second year1 the alert1 kind1 benevolent old man1 had his attention alive to every one's question1 his information at every one's command4 ,his talents and fancy overflowed on every subject4 ,one gentleman was a deep philologist--he talked with him on the origin of the alphabet1 as if he had been coeval with ,cadmus2 another a celebrated critic--you would have said the old man had studied political economy and belles lettres all his life4 ,of science it is unnecessary to speak--it was his own distinguished walk4 ,and yet1 ,captain ,clutterbuck1 when he spoke with your countryman1 ,jedediah ,cleishbotham1 you would have sworn he had been coeval with ,claverse and ,burley1 with the persecutors and persecuted1 and could number every shot the dragoons had fired at the fugitive ,covenanters4 ,in fact1 we discovered that no novel of the least celebrity escaped his perusal1 and that the gifted man of science was as much addicted to the productions of your native country1 in other words1 as shameless and obstinate a peruser of novels1 as if he had been a very milliner's apprentice of eighteen4 ,in the ,edinburgh newspaper1 called the ,scotsman1 of the #dth ,september1 #ahai1 immediately after the decease of ,watt1 the following sketch was published from the pen of ,lord ,jeffrey3-- ,this name fortunately needs no commemoration of ours2 for he that bore it survived to see it crowned with undisputed and unenvied honours2 and many generations will probably pass away before it shall have gathered 'all its fame4' ,we have said that ,mr4 ,watt was the great improver of the steam engine2 but1 in truth1 as to all that is admirable in its structure1 or vast in its utility1 he should rather be described as its inventor4 ,it was by his inventions1 that its action was so regulated as to make it capable of being applied to the finest and most delicate manufactures1 and its power so increased1 as to set weight and solidity at defiance4 ,by his admirable contrivance1 it has become a thing stupendous alike for its force and its flexibility--for the prodigious power which it can exert1 and the ease1 and precision1 and ductility with which it can be varied1 distributed1 and applied4 ,the trunk of an elephant1 that can pick up a pin or rend an oak1 is as nothing to it4 ,it can engrave a seal1 and crush masses of obdurate metal before it--draw out1 without breaking1 a thread as fine as gossamer1 and lift a ship of war like a bauble in the air4 ,it can embroider muslin1 and forge anchors--cut steel into ribands1 and impel loaded vessels against the fury of the winds and waves4 ,pg#caf ,it would be difficult to estimate the value of the benefits which these inventions have conferred upon this country4 ,there is no branch of industry that has not been indebted to them2 and1 in all the most material1 they have not only widened most magnificently the field of its exertions1 but multiplied a thousand fold the amount of its productions4 ,it is our improved steam engine that has fought the battles of ,europe1 and exalted and sustained1 through the late tremendous contest1 the political greatness of our land4 ,it is the same great power which now enables us to pay the interest of our debt1 and to maintain the arduous struggle in which we are still engaged 7#ahai71 with the skill and capital of countries less oppressed with taxation4 ,but these are poor and narrow views of its importance4 ,it has increased indefinitely the mass of human comforts and enjoyments1 and rendered cheap and accessible all over the world the materials of wealth and prosperity4 ,it has armed the feeble hand of man1 in short1 with a power to which no limits can be assigned2 completed the dominion of mind over the most refractory qualities of matter2 and laid a sure foundation for all those future miracles of mechanic power which are to aid and reward the labours of after generations4 ,it is to the genius of one man1 too1 that all this is mainly owing2 and certainly no man ever bestowed such a gift on his kind4 ,the blessing is not only universal1 but unbounded2 and the fabled inventors of the plough and the loom1 who were deified by the erring gratitude of their rude contemporaries1 conferred less important benefits on mankind than the inventor of our present steam engine4 ,this will be the fame of ,watt with future generations2 and it is sufficient for his race and his country4 ,but to those to whom he more immediately belonged1 who lived in his society and enjoyed his conversation1 it is not1 perhaps1 the character in which he will be most frequently recalled--most deeply lamented--or even most highly admired4 ,independently of his great attainments in mechanics1 ,mr4 ,watt was an extraordinary1 and in many respects a wonderful man4 ,perhaps no individual in his age possessed so much and such varied and exact information--had read so much1 or remembered what he had read so accurately and well4 ,he had infinite quickness of apprehension1 a prodigious memory1 and a certain rectifying and methodising power of understanding1 which extracted something precious out of all that was presented to it4 ,his stores of miscellaneous knowledge were immense2 and yet less astonishing than the command he had at all times over them4 ,it seemed as if every subject that was casually started in conversation with him1 had been that which he had been last occupied in studying and exhausting2--such was the copiousness1 the precision1 and the admirable clearness of the information which he poured out upon it without effort or hesitation4 ,nor was this promptitude and compass of knowledge confined in any degree to the studies connected with his ordinary pursuits4 ,that he should have been minutely and extensively skilled in chemistry and the arts1 and in most of the branches of physical science1 might perhaps have been conjectured2 but it could not have been inferred from his usual occupations1 and probably is not generally known1 that he was curiously learned in many branches of antiquity1 metaphysics1 medicine1 and etymology2 and perfectly at home in all the details of architecture1 music1 and law4 ,he was well acquainted1 too1 with most of the modern languages1 and familiar with their most recent literature4 ,nor was it at all extraordinary to hear the great mechanician and engineer detailing and expounding1 for hours together1 ,pg#cag the metaphysical theories of the ,german logicians1 or criticising the measures or the matter of the ,german poetry4 ,his astonishing memory was aided1 no doubt1 in a great measure1 by a still higher and rarer faculty--by his power of digesting1 and arranging in its proper place1 all the information he received2 and of casting aside and rejecting1 as it were instinctively1 whatever was worthless or immaterial4 ,every conception that was suggested to his mind seemed instantly to take its place among its other rich furniture1 and to be condensed into the smallest and most convenient form4 ,he never appeared1 therefore1 to be at all incumbered or perplexed with the verbiage of the dull books he perused1 or to the idle talk to which he listened2 but to have at once extracted1 by a kind of intellectual alchemy1 all that was worthy of attention1 and to have reduced it1 for his own use1 to its true value and to its simplest form4 ,and thus it often happened1 that a great deal more was learned from his brief and vigorous account of the theories and arguments of tedious writers1 than an ordinary student could ever have derived from the most painful study of the originals2 and that errors and absurdities became manifest from the mere clearness and plainness of his statement of them1 which might have deluded and perplexed most of his hearers without that invaluable assistance4 ,it is needless to say that1 with those vast resources1 his conversation was at all times rich and instructive in no ordinary degree3 but it was1 if possible1 still more pleasing than wise2 and had all the charms of familiarity with all the substantial treasures of knowledge4 ,no man could be more social in his spirit1 less assuming or fastidious in his manners1 or more kind and indulgent toward all who approached him4 ,he rather liked to talk1--at least in his latter years2 but though he took a considerable share of the conversation1 he rarely suggested the topics on which it was to turn1 but readily and quietly took up whatever was presented by those around him1 and astonished the idle and barren propounders of an ordinary theme by the treasures which he drew from the mine they had unconsciously opened4 ,he generally seemed1 indeed1 to have no choice or predilection for one subject of discourse rather than another2 but allowed his mind1 like a great cyclopdia1 to be opened at any letter his associates might choose to turn up1 and only endeavoured to select from his inexhaustible stores1 what might be best adapted to the taste of his present hearers4 ,as to their capacity he gave himself no trouble2 and indeed such was his singular talent for making all things plain1 clear1 and intelligible1 that scarcely any one could be aware of such a deficiency in his presence4 ,his talk1 too1 though overflowing with information1 had no resemblance to lecturing or solemn discoursing1 but1 on the contrary1 was full of colloquial spirit and pleasantry4 ,he had a certain quiet and grave humour which ran through most of his conversation2 and a vein of temperate jocularity1 which gave infinite zest and effect to the condensed and inexhaustible information which formed its main staple and characteristic4 ,there was a little air of affected testiness1 and a tone of pretended rebuke and contradiction1 with which he used to address his younger friends1 that was always felt by them as an endearing mark of his kindness and familiarity2 and prized1 accordingly1 far beyond all the solemn compliments that ever proceeded from the lips of authority4 ,his voice was deep and powerful1 though he commonly spoke in a low and somewhat monotonous tone1 which harmonised admirably with the weight and brevity of his observations1 and set off to the greatest advantage the pleasant ,pg#cah anecdotes1 which he delivered with the same grave brow1 and the same calm smile playing soberly on his lips4 ,there was nothing of effort1 indeed1 or impatience1 any more than of pride or levity1 in his demeanour2 and there was a finer expression of reposing strength1 and mild self-possession in his manner1 than we ever recollect to have met with in any other person4 ,he had in his character the utmost abhorrence for all sorts of forwardness1 parade1 and pretensions2 and1 indeed1 never failed to put all such impostures out of countenance1 by the manly plainness and honest intrepidity of his language and deportment4 ,in his temper and dispositions1 he was not only kind and affectionate1 but generous1 and considerate of the feelings of all around him2 and gave the most liberal assistance and encouragement to all young persons who showed any indications of talent1 or applied to him for patronage or advice4 ,his health1 which was delicate from his youth upwards1 seemed to become firmer as he advanced in years2 and he preserved1 up almost to the last moment of his existence1 not only the full command of his extraordinary intellect1 but all the alacrity of spirit and the social gaiety which had illumined his happiest days4 ,his friends in this part of the country never saw him more full of intellectual vigour and colloquial animation--never more delightful or more instructive--than in his last visit to ,scotland in autumn #ahag4 ,indeed1 it was after that time that he applied himself1 with all the ardour of early life1 to the invention of a machine for mechanically copying all sorts of sculpture and statuary2 and distributed among his friends some of its earliest performances1 as the productions of a young artist just entering on his eighty-third year4 ,this happy and useful life came1 at last1 to a gentle close4 ,he had suffered some inconvenience through the summer2 but was not seriously indisposed till within a few weeks of his death4 ,he then became perfectly aware of the event which was approaching2 and with his usual tranquillity and benevolence of nature1 seemed only anxious to point out to the friends around him1 the many sources of consolation which were afforded by the circumstances under which it was about to take place4 ,he expressed his sincere gratitude to ,providence for the length of days with which he had been blessed1 and his exemption from most of the infirmities of age2 as well as for the calm and cheerful evening of life that he had been permitted to enjoy1 after the honourable labours of the day had been concluded4 ,and thus1 full of years and honours1 in all calmness and tranquillity1 he yielded up his soul without pang or struggle2 and passed from the bosom of his family to that of his ,god4 ,the ,english nation has ever shown itself insensible to the claims of genius and high intellectual endowments1 except where the results have been brought directly to bear in statesmanship or war4 ,of this inability to appreciate the highest order of intellectual excellence ,watt affords a striking example4 ,when it was suggested to the ,british government by those better capable than that government was of appreciating the genius of this great man1 that the nation would do itself honour by erecting a splendid monument at his own ,pg#cai cost to him to whom it was so deeply indebted for the extension of its resources and the augmentation of its power1 the reply was that such a measure could not be adopted as it might be drawn into a precedent in like cases thereafter6 ,a precedent in like cases66 ,when will the time arrive when the world will produce a like case8 ,the monument which has been erected in ,westminster ,abbey was in fact raised by private subscription1 the nation having thus stigmatised itself through the act of its government with the everlasting disgrace of refusing the honour proposed to it4 ,the other statues and monuments which have been erected to this great man1 have been for the most part raised by the filial piety and the never-dying affection and veneration of the present ,mr4 ,james ,watt4 ,a statue has been presented by him to the ,university of ,glasgow1 and placed in one of the halls of that college4 ,the inhabitants of ,greenock have also erected a marble statue of ,watt1 for which1 and for a library1 a building has been erected at the expense of about #c1ejjl4 which has been defrayed by ,mr4 ,james ,watt4 ,a colossal bronze statue has been erected on a handsome granite pedestal1 standing at one of the corners of ,george ,square1 ,glasgow4 ,the monument in ,westminster ,abbey1 erected by the subscription raised at the public meeting already alluded to1 is a colossal statue of ,carrara marble1 by ,chantrey4 ,watt was elected a fellow of the ,royal ,society of ,edinburgh in #aghd2 of the ,royal ,society of ,london in #aghe2 a member of the ,batavian ,society in #aghg2 and a corresponding member of the ,institut of ,france in #ahjh4 ,the degree of ,doctor of ,laws was conferred upon him by the ,university of ,glasgow1 in #ahjf2 and in #ahad1 the highest scientific honour which can be attained by a philosopher1 was conferred on him by the ,academy of ,sciences of the ,institut of ,france1 who nominated him one of its eight foreign associates4 ,on the pedestal of the monument in ,westminster ,abbey is engraved the following inscription from the pen of ,lord ,brougham3-- ,pg#cbj ,,not ,,to ,,perpetuate ,a ,,name ,,which ,,must ,,endure ,,while ,,the ,,peaceful ,,arts ,,flourish1 ,,but ,,to ,,show ,,that ,,mankind ,,have ,,learned ,,to ,,honour ,,those ,,who ,,best ,,deserve ,,their ,,gratitude1 ,,the ,,king ,,his ,,ministers1 ,,and ,,many ,,of ,,the ,,nobles ,,and ,,commoners ,,of ,,the ,,realm ,,raised ,,this ,,monument ,,to ,,james ,,watt1 ,,who ,,directing ,,the ,,force ,,of ,,an ,,original ,,genius1 ,,early ,,exercised ,,in ,,philosophic ,,research ,,to ,,the ,,improvement ,,of ,,the ,,steam ,,engine1 ,,enlarged ,,the ,,resources ,,of ,,his ,,country1 ,,increased ,,the ,,power ,,of ,,man1 ,,and ,,rose ,,to ,,an ,,eminent ,,place ,,among ,,the ,,most ,,illustrious ,,followers ,,of ,,science ,,and ,,the ,,real ,,benefactors ,,of ,,the ,,world4 ,,born ,,at ,,greenock ,,mdccxxxvi4 ,,died ,,at ,,heathfield ,,in ,,staffordshire ,,mdcccxix4 ,illustration3 ,,watt',s ,,chapel ,,in ,,handsworth ,,church4 ,,footnotes3 #be ,see ,buchanan on the ,economy of ,fuel and ,management of ,heat1 especially as it relates to heating and drying by means of ,steam4 #bf ,see ,brewster's ,edinburgh ,encyclopdia1 article ,,steam-,,drying ,,machine4 #bg ,the following are the words in which ,watt makes this remarkable announcement to ,priestley3-- ,let us now consider what obviously happens in the deflagration of the inflammable 7hydrogen7 and dephlogisticated air 7oxygen74 ,these two kinds of air unite with violence2 they become red hot1 and upon cooling1 totally disappear4 ,when the vessel is cooled1 a quantity of water is found in it equal to the weight of the air employed4 ,this water is then the only remaining product of the process2 and water1 light1 and heat are all the products4 ,are we not then authorised to conclude1 that water is composed of dephlogisticated air 7oxygen7 and phlogiston 7hydrogen71 deprived of part of their latent or elementary heat2 that dephlogisticated or pure air 7oxygen7 is composed of water deprived of its phlogiston 7hydrogen71 and united to elementary heat and light2 and that the latter are contained in it in a latent state1 so as not to be sensible to the thermometer or to the eye2 and if light be only a modification of heat1 or a circumstance attending it1 or a component part of the inflammable air 7hydrogen71 then pure or dephlogisticated air 7oxygen7 is composed of water deprived of its phlogiston 7hydrogen71 and united to elementary heat4 #bh ,those who desire to investigate this controversy more in detail will find very full information on the subject in the ,translation of ,arago's ,eloge1 with notes and appendix by ,j4 ,p4 ,muirhead1 ,esq4 ,murray1 ,london1 #ahci4 #bi ,an account of this remarkable apparatus1 accompanied by an engraving made from a drawing supplied by ,watt1 was communicated by ,sir ,john ,robison to the ,edinburgh ,philosophical ,journal in #ahbj4 ,see vol4 iii1 p4 #fj4 ,pg#cba ,illustration ,,chap4 ,,xi4 ,,locomotive ,,engines ,,on ,,railways4 ,,non-,,condensing ,,engines4 -- ,,leupold',s ,,engine4-,,trevethick ,,and ,,vivian4 -- ,,effects ,,of ,,railway ,,transport4 -- ,,history ,,of ,,the ,,locomotive ,,engine4 -- ,,blenkinsop4 -- ,,messrs4 ,,chapman4 -- ,,walking ,,engine4 -- ,,mr4 ,,stephenson',s ,,engines ,,at ,,killingworth4 -- ,,liverpool ,,and ,,manchester ,,railway4 -- ,,experimental ,,trial4 -- ,,the ,,rocket4 -- ,,the ,,sanspareil4 -- ,,the ,,novelty4 -- ,,subsequent ,,improvements ,,in ,,the ,,locomotive ,,engine4 -- ,,lardner',s ,,experiments ,,in #ahcb4 -- ,,adoption ,,of ,,brass ,,tubes4 -- ,,mr4 ,,booth',s ,,report4 -- ,,detailed ,,description ,,of ,,the ,,most ,,improved ,,locomotive ,,engines4 -- ,,power ,,of ,,locomotive ,,engines4 -- ,,evaporation ,,of ,,boilers4 -- ,,lardner',s ,,experiments ,,in #ahch4 -- ,,resistance ,,to ,,railway ,,trains4 -- ,,restrictions ,,on ,,gradients4 -- ,,compensating ,,effect ,,of ,,gradients4 -- ,,experiment ,,with ,,the ,,hecla4 -- ,,methods ,,of ,,surmounting ,,steep ,,inclinations4 7#ahj47 ,in the various modifications of the steam engine which we have hitherto considered1 the pressure introduced on one side of the piston derives its efficacy either wholly or partially from the vacuum produced by condensation on the other side4 ,this always requires a condensing apparatus1 and a constant and abundant supply of cold water4 ,an engine of this kind must therefore necessarily have considerable dimensions and weight1 and is inapplicable to uses in which a small and light machine only is admissible4 ,if the condensing apparatus be dispensed with1 the piston will always be resisted by a force equal to the atmospheric ,pg#cbb pressure1 and the only part of the steam pressure which will be available as a moving power1 is that part by which it exceeds the pressure of the atmosphere4 ,hence1 in engines which do not work by condensation1 steam of a much higher pressure than that of the atmosphere is indispensably necessary1 and such engines are therefore called high-pressure engines4 ,we are not1 however1 to understand that every engine1 in which steam is used of a pressure exceeding that of the atmosphere1 is what is meant by an high-pressure engine2 for in the ordinary engines in common use1 constructed on ,watt's principle1 the safety-valve is loaded with from #c to #e lbs4 on the square inch2 and in ,woolf's engines1 the steam is produced under a pressure of #dj lbs4 on the square inch4 ,these would therefore be more properly called condensing engines than low-pressure engines2 a term quite inapplicable to those of ,woolf4 ,in fact1 by high-pressure engines is meant engines in which no vacuum is produced1 and1 therefore1 in which the piston works against a pressure equal to that of the atmosphere4 ,in these engines the whole of the condensing apparatus1 viz4 the cold-water cistern1 condenser1 air-pump1 cold-water pump1 c41 are dispensed with1 and nothing is retained except the boiler1 cylinder1 piston1 and valves4 ,consequently1 such an engine is small1 light1 and cheap4 ,it is portable also1 and may be moved1 if necessary1 along with its load1 and is therefore well adapted to locomotive purposes4 7#aha47 ,high-pressure engines were one of the earliest forms of the steam engine4 ,the contrivance1 which is obscurely described in the article already quoted 7#g471 from the ,century of ,inventions1 is a high-pressure engine2 for the power there alluded to is the elastic force of steam working against the atmospheric pressure4 ,newcomen1 in #agje1 applied the working-beam1 cylinder1 and piston to the atmospheric engine2 and ,leupold1 about #agbj1 combined the working-beam and cylinder with the high-pressure principle1 and produced the earliest high-pressure engine worked by a cylinder and piston4 ,the following is a description of ,leupold's engine3-- ,pg#cbc ,illustration3 ,fig4 #hb4 ,a 7fig4 #hb47 is the boiler1 with the furnace beneath it2 ,c ,c are two cylinders with solid pistons ,p ,p1 connected with the working-beams ,b ,b1 to which are attached the pump-rods ,r ,r1 of two forcing pumps ,f ,f1 which communicate with a great force-pipe ,s2 ,g is a four-way cock 7#ff47 already described4 ,in the position in which it stands in the figure1 the steam issues from below the piston ,p into the atmosphere1 and the piston is descending by its own weight2 steam from the boiler is at the same time pressing up the piston ,p1 with a force equal to the difference between the pressure of the steam and that of the atmosphere4 ,thus the piston ,r of the forcing-pump is being drawn up1 and the piston ,p is forcing the piston ,r down1 and thereby driving water into the force-pipe ,pg#cbd ,s4 ,on the arrival of the piston ,p at the bottom of the cylinder ,c1 and ,p at the top of the cylinder ,c1 the position of the cock is changed as represented in fig4 #hc4 ,the steam1 which has just pressed up the piston ,p1 is allowed to escape into the atmosphere1 while the steam1 passing from the boiler below the piston ,p1 presses it up1 and thus ,p ascends by the steam pressure1 and ,p descends by its own weight4 ,by these means the piston ,r is forced down1 driving before it the water in the pump-cylinder into the force-pipe ,s1 and the piston ,r is drawn up to allow the other pump-cylinder to be re-filled2 and so the process is continued4 ,illustration3 ,fig4 #hc4 ,a valve is placed in the bottom of the force-pipes1 to prevent the water which has been driven into it from returning4 ,this valve opens upwards2 and1 consequently1 the weight of the water pressing upon it only keeps it more effectually closed4 ,on each descent of the piston1 the pressure transmitted to the valve acting upwards being greater than the weight of the water resting upon it1 forces it open1 and an increased quantity of water is introduced4 7#ahb47 ,from the date of the improvement of ,watt until the commencement of the present century1 non-condensing engines were altogether neglected in these countries4 ,in the year #ahjb1 ,messrs4 ,trevethick and ,vivian constructed the first non-condensing engine of this kind which was ever brought into extensive practical use in this kingdom4 ,a section of this machine1 made by a vertical plane1 is represented in fig4 #hd4 ,the boiler ,a ,b is a cylinder with flat circular ends4 ,the fire-place is constructed in the following manner3--,a tube enters the cylindrical boiler at one end2 and1 proceeding onwards near the other extremity1 is turned and recurved1 so as to be carried back parallel to the direction in which it entered4 ,it is thus conducted out of the boiler1 at another part of the same end at which it entered4 ,one of the ends of this tube communicates with the chimney ,e1 which is carried upwards as represented in the figure4 ,the other mouth is furnished ,pg#cbe with a door2 and in it is placed the grate1 which is formed of horizontal bars1 dividing the tube into two parts2 the upper part forming the fire-place1 and the lower the ash-pit4 ,the fuel is maintained in a state of combustion1 on the bars1 in that part of the tube represented at ,c ,d2 and the flame is carried by the draught of the chimney round the curved flue1 and issues at ,e into the chimney4 ,the flame is thus conducted through the water1 so as to expose the latter to as much heat as possible4 ,illustration3 ,fig4 #hd4 ,a section of the cylinder is represented at ,f1 immersed in the boiler1 except a few inches of the upper end1 where the four-way cock ,g is placed for regulating the admission of the steam4 ,a tube is represented at ,h1 which leads from this four-way cock into the chimney2 so that the waste steam1 after working the piston1 is carried off through this tube1 and passes into the chimney4 ,the upper end of the piston-rod is furnished with a cross-bar1 which is placed in a direction at right angles to the length of the boiler1 and also to the ,pg#cbf piston-rod4 ,this bar is guided in its motion by sliding on two iron perpendicular rods fixed to the sides of the boiler1 and parallel to each other4 ,to the ends of this cross-bar are joined two connecting rods1 the lower ends of which work two cranks fixed on an axis extending across and beneath the boiler1 and immediately under the centre of the cylinder4 ,this axis is sustained in bearings formed in the legs which support the boiler1 and upon its extremity is fixed the fly-wheel as represented at ,b4 ,a large-toothed wheel is placed on this axis2 which1 being turned with the cranked axle1 communicates motion to other wheels2 and through them1 to any machinery which the engine may be applied to move4 ,illustration3 ,fig4 #he4 ,as the four-way cock is represented in the figure1 the steam passes from the boiler through the curved passage ,g above the piston1 while the steam below the piston is carried off through a tube which does not appear in the figure1 by which it is conducted to the tube ,h1 and thence to the chimney4 ,the steam1 therefore1 which passes above the piston presses it downwards2 while the pressure upwards does not exceed that of the atmosphere4 ,the piston will therefore descend with a force depending on the excess of the pressure of the steam produced in the boiler above the atmospheric pressure4 ,when the piston has arrived at the bottom of the cylinder1 the cock is made to assume the position represented in fig4 #he4 ,this effect is produced by the motion of the piston-rod4 ,the steam now passes from above the piston1 through the tube ,h1 into the chimney1 while the steam from the boiler is conducted through another tube below the piston4 ,the pressure above the piston1 in this case1 does not exceed that of the atmosphere2 while the pressure below it will be that of the steam in the boiler4 ,the piston will therefore ascend with the difference of these pressures4 ,on the arrival of the piston at the top of the cylinder1 the four-way cock is again turned to the position represented in fig4 #he41 and the piston again descends2 and in the same manner the process is continued4 ,a safety-valve is placed on the boiler at ,v1 loaded with a weight ,w1 proportionate ,pg#cbg to the strength of the steam with which it is proposed to work4 ,in the engines now described1 this valve was frequently loaded at the rate of from #fj to #hj lbs4 on the square inch4 ,as the boilers of high-pressure engines were considered more liable to accidents from bursting than those in which steam of a lower pressure was used1 greater precautions were taken against such effects4 ,a second safety-valve was provided1 which was not left in the power of the engine-man4 ,by this means he had a power to diminish the pressure of the steam1 but could not increase it beyond the limit determined by the valve which was removed from his interference4 ,the greatest cause of danger1 however1 arose from the water in the boiler being consumed by evaporation faster than it was supplied2 and therefore falling below the level of the tube containing the furnace4 ,to guard against accidents arising from this circumstance1 a hole was bored in the boiler1 at a certain depth1 below which the water should not be allowed to fall2 and in this hole a plug of metal was soldered with lead1 or with some other metal1 which would fuse at that temperature which would expose the boiler to danger4 ,thus1 in the event of the water being exhausted1 so that its level would fall below the plug1 the heat of the furnace would immediately melt the solder1 and the plug would fall out1 affording a vent for the steam1 without allowing the boiler to burst4 ,the mercurial steam-gauge1 already described1 was also used as an additional security4 ,when the force of the steam exceeded the length of the column of mercury which the tube would contain1 the mercury would be blown out1 and the tube would give vent to the steam4 ,the water by which the boiler was replenished was forced into it by a pump worked by the engine4 ,in order to economise the heat1 this water was contained in a tube ,t1 which surrounded the pipe ,h4 ,as the waste steam1 after working the piston1 passed off through ,h1 it imparted a portion of its heat to the water contained in the tube ,t1 which was thus warmed to a certain temperature before it was forced into the boiler by the pump4 ,thus a part of the heat1 which was originally ,pg#cbh carried from the boiler in the form of steam1 was returned again to the boiler with the water with which it was fed4 ,it is evident that engines constructed in this manner may be applied to all the purposes to which the condensing engines are applicable4 7#ahc47 ,two years after the date of the patent of this engine1 its inventor constructed a machine of the same kind for the purpose of moving carriages on railroads2 and applied it successfully1 in the year #ahjd1 on the railroad at ,merthyr ,tydvil1 in ,south ,wales4 ,it was in principle the same as that already described4 ,the cylinder however was in a horizontal position1 the piston-rod working in the direction of the line of road3 the extremity of the piston-rod1 by means of a connecting rod1 worked cranks placed on the axletree1 on which were fixed two cogged wheels3 these worked in others1 by which their motion was communicated finally to cogged wheels fixed on the axle of the hind wheels of the carriage1 by which this axle was kept in a state of revolution4 ,the hind wheels being fixed on the axletree1 and turning with it1 were caused likewise to revolve2 and so long as the weight of the carriage did not exceed that which the friction of the road was capable of propelling1 the carriage would thus be moved forwards4 ,on this axle was placed a fly-wheel to continue the rotatory motion at the termination of each stroke4 ,the fore wheels are described as being capable of turning like the fore wheels of a carriage1 so as to guide the vehicle4 ,the projectors appear to have contemplated1 in the first instance1 the use of this carriage on common roads2 but that notion seems to have been abandoned1 and its use was only adopted on the railroad before mentioned4 ,on the occasion of its first trial1 it drew after it as many carriages as contained ten tons of iron a distance of nine miles2 which stage it performed without any fresh supply of water1 and travelled at the rate of five miles an hour4 7#ahd47 ,capital and skill have of late years been directed with extraordinary energy to the improvement of inland transport2 and this important instrument of national wealth and civilisation has received a proportionate impulse4 ,effects are now witnessed1 which1 had they been narrated a few years ,pg#cbi since1 could only have been admitted into the pages of fiction or volumes of romance4 ,who could have credited the possibility of a ponderous engine of iron1 loaded with some hundred passengers1 in a train of carriages of corresponding magnitude1 and a large quantity of water and coal1 taking flight from ,manchester and arriving at ,liverpool1 a distance of above thirty miles1 in little more than an hour8 ,and yet this is a matter of daily and almost hourly occurrence4 ,the rapidity of transport thus attained is not less wonderful than the weights transported4 ,its capabilities in this respect far transcend the exigencies even of the two greatest commercial marts in ,great ,britain4 ,loads1 varying from fifty to one hundred and fifty tons1 are transported at the average rate of fifteen miles an hour2 and in one instance we have seen a load--we should rather say a cargo--of waggons1 conveying merchandise to the amount of two hundred and thirty tons gross1 transported from ,liverpool to ,manchester at the average rate of twelve miles an hour4 ,the astonishment with which such performances must be viewed1 might be qualified1 if the art of transport by steam on railways had been matured1 and had attained that full state of perfection which such an art is always capable of receiving from long experience1 aided by great scientific knowledge1 and the unbounded application of capital4 ,but such is not the present case4 ,the art of constructing locomotive engines1 so far from having attained a state of maturity1 has not even emerged from its infancy4 ,so complete was the ignorance of its powers which prevailed1 even among engineers1 previous to the opening of the ,liverpool railway1 that the transport of heavy goods was regarded as the chief object of the undertaking1 and its principal source of revenue4 ,the incredible speed of transport1 effected even in the very first experiments in #ahcj1 burst upon the public1 and on the scientific world1 with all the effect of a new and unlooked-for phenomenon4 ,on the unfortunate occasion which deprived this country of ,mr4 ,huskisson1 the wounded body of that statesman was transported a distance of about fifteen miles in twenty-five minutes1 being at the rate of thirty-six miles an hour4 ,the revenue of the road arising from passengers since its opening1 ,pg#ccj has1 contrary to all that was foreseen1 been nearly double that which has been derived from merchandise4 ,so great was the want of experience in the construction of engines1 that the company was at first ignorant whether they should adopt large steam engines fixed at different stations on the line1 to pull the carriages from station to station1 or travelling engines to drag the loads the entire distance4 ,having decided on the latter1 they have1 even to the present moment1 laboured under the disadvantage of the want of that knowledge which experience alone can give4 ,the engines have been constantly varied in their weight and proportions1 in their magnitude and form1 as the experience of each successive month has indicated4 ,as defects became manifest they were remedied2 improvements suggested were adopted2 and each year produced engines of such increased power and efficiency1 that their predecessors were abandoned1 not because they were worn out1 but because they had been outstripped in the rapid march of improvement4 ,add to this1 that only one species of travelling engine has been effectively tried2 the capabilities of others remain still to be developed2 and even that form of engine which has received the advantage of a course of experiments on so grand a scale to carry it towards perfection1 is far short of this point1 and still has defects1 many of which1 it is obvious1 time and experience will remove4 ,if1 then1 the locomotive engine1 subject thus to all the imperfections inseparable from a novel contrivance--with the restrictions on the free application of skill and capital1 arising from the nature of the monopolies granted to railway companies--with the disadvantage of very limited experience1 the great parent of practical improvement1 having been submitted to experiments hitherto only on a limited scale1 and confined almost to one form of machine2--if1 under such disadvantages1 such effects have been produced as are now daily witnessed by the public1 what may not be looked for from this extraordinary power when the enterprise of the country shall be more unfettered--when greater fields of experience are opened--when time1 ingenuity1 and capital have removed or diminished existing imperfections1 and have brought to light new and more powerful principles8 ,this is not mere speculation ,pg#cca on abstract possibilities1 but refers to what is in actual progress4 ,the points of greatest wealth and population--the centres of largest capital and most active industry throughout the country--will soon be connected by lines of railway2 and various experiments are proposed1 with more or less prospect of success1 for the application of steam engines on stone roads where the intercourse is not sufficient to render railways profitable4 ,the important commercial and political effects attending such increased facility and speed in the transport of persons and goods1 are too obvious to require any very extended notice here4 ,a part of the price 7and in many cases a considerable part7 of every article of necessity or luxury1 consists of the cost of transporting it from the producer to the consumer2 and consequently every abatement or saving in this cost must produce a corresponding reduction in the price of every article transported2 that is to say1 of every thing which is necessary for the subsistence of the poor1 or for the enjoyment of the rich--of every comfort1 and of every luxury of life4 ,the benefit of this will extend1 not to the consumer only1 but to the producer3 by lowering the expense of transport of the produce1 whether of the soil or of the loom1 a less quantity of that produce will be spent in bringing the remainder to market1 and consequently a greater surplus will reward the labour of the producer4 ,the benefit of this will be felt even more by the agriculturist than by the manufacturer2 because the proportional cost of transport of the produce of the soil is greater than that of manufactures4 ,if two hundred quarters of corn be necessary to raise four hundred1 and one hundred more be required to bring the four hundred to market1 then the net surplus will be one hundred4 ,but if by the use of steam carriages the same quantity can be brought to market with an expenditure of fifty quarters1 then the net surplus will be increased from one hundred to one hundred and fifty quarters2 and either the profit of the farmer1 or the rent of the landlord1 must be increased by the same amount4 ,but the agriculturist would not merely be benefited by an increased return from the soil already under cultivation4 ,any ,pg#ccb reduction in the cost of transporting the produce to market would call into cultivation tracts of inferior fertility1 the returns from which would not at present repay the cost of cultivation and transport4 ,thus land would become productive which is now waste1 and an effect would be produced equivalent to adding so much fertile soil to the present extent of the country4 ,it is well known1 that land of a given degree of fertility will yield increased produce by the increased application of capital and labour4 ,by a reduction in the cost of transport1 a saving will be made which may enable the agriculturist to apply to tracts already under cultivation the capital thus saved1 and thereby increase their actual production4 ,not only1 therefore1 would such an effect be attended with an increased extent of cultivated land1 but also with an increased degree of cultivation in that which is already productive4 ,it has been said1 that in ,great ,britain there are above a million of horses engaged in various ways in the transport of passengers and goods1 and that to transport each horse requires as much land as would1 upon an average1 support eight men4 ,if this quantity of animal power were displaced by steam engines1 and the means of transport drawn from the bowels of the earth1 instead of being raised upon its surface1 then1 supposing the above calculation correct1 as much land would become available for the support of human beings as would suffice for an additional population of eight millions2 or1 what amounts to the same1 would increase the means of support of the present population by about one third of the present available means4 ,the land which now supports horses for transport would then support men1 or produce corn for food4 ,the objection that a quantity of land exists in the country capable of supporting horses alone1 and that such land would be thrown out of cultivation1 scarcely deserves notice here4 ,the existence of any considerable quantity of such land is extremely doubtful4 ,what is the soil which will feed a horse and not feed oxen or sheep1 or produce food for man8 ,but even if it be admitted that there exists in the country a small portion of such land1 that portion cannot exceed1 nor indeed equal1 what would be sufficient for the number of horses ,pg#ccc which must after all continue to be employed for the purposes of pleasure1 and in a variety of cases where steam must necessarily be inapplicable4 ,it is to be remembered1 also1 that the displacing of horses in one extensive occupation1 by diminishing their price must necessarily increase the demand for them in others4 ,the reduction in the cost of transport of manufactured articles1 by lowering their price in the market1 will stimulate their consumption4 ,this observation applies of course not only to home but to foreign markets4 ,in the latter we already in many branches of manufactures command a monopoly4 ,the reduced price which we shall attain by cheapness and facility of transport will still further extend and increase our advantages4 ,the necessary consequence will be1 an increased demand for manufacturing population2 and this increased population again reacting on the agricultural interests1 will form an increased market for that species of produce4 ,so interwoven and complicated are the fibres which form the texture of the highly civilised and artificial community in which we live1 that an effect produced on any one point is instantly transmitted to the most remote and apparently unconnected parts of the system4 ,the two advantages of increased cheapness and speed1 besides extending the amount of existing traffic1 call into existence new objects of commercial intercourse4 ,for the same reason that the reduced cost of transport1 as we have shown1 calls new soils into cultivation1 it also calls into existence new markets for manufactured and agricultural produce4 ,the great speed of transit which has been proved to be practicable1 must open a commerce between distant points in various articles1 the nature of which does not permit them to be preserved so as to be fit for use beyond a certain time4 ,such are1 for example1 many species of vegetable and animal food1 which at present are confined to markets at a very limited distance from the grower or feeder4 ,the truth of this observation is manifested by the effects which have followed the intercourse by steam on the ,irish ,channel4 ,the western towns of ,england have become markets for a prodigious quantity of ,irish produce1 which it had been previously ,pg#ccd impossible to export4 ,if animal food be transported alive from the grower to the consumer1 the distance of the market is limited by the power of the animal to travel1 and the cost of its support on the road4 ,it is only particular species of cattle which bear to be carried to market on common roads and by horse carriages4 ,but the peculiar nature of a railway1 the magnitude and weight of the loads which may be transported on it1 and the prodigious speed which may be attained1 render the transport of cattle1 of every species1 to almost any distance1 both easy and cheap4 ,in process of time1 when the railway system becomes extended1 the metropolis and populous towns will therefore become markets1 not as at present to districts within limited distances of them1 but to the whole country4 ,the moral and political consequences of so great a change in the powers of transition of persons and intelligence from place to place are not easily calculated4 ,the concentration of mind and exertion which a great metropolis always exhibits1 will be extended in a considerable degree to the whole realm4 ,the same effect will be produced as if all distances were lessened in the proportion in which the speed and cheapness of transit are increased4 ,towns at present removed some stages from the metropolis1 will become its suburbs2 others1 now at a day's journey1 will be removed to its immediate vicinity2 business will be carried on with as much ease between them and the metropolis1 as it is now between distant points of the metropolis itself4 ,let those who discard speculations like these as wild and improbable1 recur to the state of public opinion1 at no very remote period1 on the subject of steam navigation4 ,within the memory of persons who have not yet passed the meridian of life1 the possibility of traversing by the steam engine the channels and seas that surround and intersect these islands1 was regarded as the dream of enthusiasts4 ,nautical men and men of science rejected such speculations with equal incredulity1 and with little less than scorn for the understanding of those who could for a moment entertain them4 ,yet we have witnessed steam engines traversing not these channels and seas alone1 but sweeping the face of the waters round every coast in ,europe4 ,the ,pg#cce seas which interpose between our ,asiatic dominions and ,egypt1 and those which separate our own shores from our ,west ,indian possessions1 have offered an equally ineffectual barrier to its powers1 and the establishment of a regular steam communication between the capitals of the ,old and ,new ,world has ceased to be a question of practicability1 having become merely one of commercial profit4 ,if steam be not used as the only means of connecting the most distant points of our planet1 it is not because it is inadequate to the accomplishment of that end1 but because the supply of the material1 from which at the present moment it derives its powers1 is restricted by local and accidental circumstances4#cj ,we propose in the present chapter to lay before our readers some account of the means whereby the effects above referred to have been produced2 of the manner and degree in which the public have availed themselves of these means2 and of the improvements of which they seem to us to be susceptible4 7#ahe47 ,it is a singular fact1 that in the history of this invention considerable time and great ingenuity were vainly expended in attempting to overcome a difficulty1 which in the end turned out to be purely imaginary4 ,to comprehend distinctly the manner in which a wheel carriage is propelled by steam1 suppose that a pin or handle is attached to the spoke of the wheel at some distance from its centre1 and that a force is applied to this pin in such a manner as to make the wheel revolve4 ,if the tire of the wheel and the surface of the road were absolutely smooth and free from friction1 so that the face of the tire would slide without resistance upon the road1 then the effect of the force thus applied would be merely to cause the wheel to turn round1 the carriage being stationary1 the surface of the tire slipping or sliding upon the road as the wheel is made to revolve4 ,but if1 on the other hand1 the pressure of the face of the tire upon the road is such as to produce between them such a degree of adhesion as will render it impossible for the wheel to slide or slip upon the road by ,pg#ccf the force which is applied to it1 the consequence will be1 that the wheel can only turn round in obedience to the force which moves it by causing the carriage to advance1 so that the wheel will roll upon the road1 and the carriage will be moved forward1 through a distance equal to the circumference of the wheel1 each time it performs a complete revolution4 ,it is obvious that both of these effects may be partially produced2 the adhesion of the wheel to the road may be insufficient to prevent slipping altogether1 and yet it may be sufficient to prevent the wheel from slipping as fast as it revolves4 ,under such circumstances the carriage would advance and the wheel would slip4 ,the progressive motion of the carriage during one complete revolution of the wheel would be equal to the difference between the complete circumference of the wheel and the portion through which in one revolution it has slipped4 ,when the construction of travelling steam engines first engaged the attention of engineers1 and for a considerable period afterwards1 a notion was impressed upon their minds that the adhesion between the face of the wheel and the surface of the road must necessarily be of very small amount1 and that in every practical case the wheels thus driven would either slip altogether1 and produce no advance of the carriage1 or that a considerable portion of the impelling power would be lost by the partial slipping or sliding of the wheels4 ,it is singular that it should never have occurred to the many ingenious persons who for several years were engaged in such experiments and speculations1 to ascertain by experiment the actual amount of adhesion in any particular case between the wheels and the road4 ,had they done so1 we should probably now have found locomotive engines in a more advanced state than that to which they have attained4 ,to remedy this imaginary difficulty1 ,messrs4 ,trevethick and ,vivian proposed to make the external rims of the wheels rough and uneven1 by surrounding them with projecting heads of nails or bolts1 or by cutting transverse grooves on them4 ,they proposed1 in cases where considerable elevations were to be ascended1 to cause claws or nails to project from the surface during the ascent1 so as to take hold of the road4 ,pg#ccg ,in seven years after the construction of the first locomotive engine by these engineers1 another locomotive engine was constructed by ,mr4 ,blinkensop1 of ,middleton ,colliery1 near ,leeds4 ,he obtained a patent1 in #ahaa1 for the application of a rack-rail4 ,the railroad thus1 instead of being composed of smooth bars of iron1 presented a line of projecting teeth1 like those of a cog-wheel1 which stretched along the entire distance to be travelled4 ,the wheels on which the engine rolled were furnished with corresponding teeth1 which worked in the teeth of the railroad1 and1 in this way1 produced a progressive motion in the carriage4 ,the next contrivance for overcoming this fictitious difficulty1 was that of ,messrs4 ,chapman1 who1 in the year #ahab1 obtained a patent for working a locomotive engine by a chain extending along the middle of the line of railroad1 from the one end to the other4 ,this chain was passed once round a grooved wheel under the centre of the carriage2 so that1 when this grooved wheel was turned by the engine1 the chain being incapable of slipping upon it1 the carriage was consequently advanced on the road4 ,in order to prevent the strain from acting on the whole length of the chain1 its links were made to fall upon upright forks placed at certain intervals1 which between those intervals sustained the tension of the chain produced by the engine4 ,friction-rollers were used to press the chain into the groove of the wheel1 so as to prevent it from slipping4 ,this contrivance was soon abandoned1 for the very obvious reason that a prodigious loss of force was incurred by the friction of the chain4 ,the following year1 #ahac1 produced a contrivance of singular ingenuity1 for overcoming the supposed difficulty arising from the want of adhesion between the wheels and the road4 ,this was no other than a pair of mechanical legs and feet1 which were made to walk and propel in a manner somewhat resembling the feet of an animal4 ,illustration3 ,fig4 #hf4 ,a sketch of these propellers is given in fig4 #hf4 ,a is the carriage moving on the railroad1 ,l and ,l are the legs1 ,f and ,f the feet4 ,the foot ,f has a joint at ,o1 which corresponds to the ankle2 another joint is placed at ,k1 which corresponds to the knee2 and a third is placed at ,l1 which corresponds to ,pg#cch the hip4 ,similar joints are placed at the corresponding letters in the other leg4 ,the knee-joint ,k is attached to the end of the piston of the cylinder4 ,when the piston1 which is horizontal1 is pressed outwards1 the leg ,l presses the foot ,f against the ground1 and the resistance forces the carriage ,a onwards4 ,as the carriage proceeds1 the angle ,k at the knee becomes larger1 so that the leg and thigh take a straighter position2 and this continues until the piston has reached the end of its stroke4 ,at the hip ,l there is a short lever ,l ,m1 the extremity of which is connected by a cord or chain with a point ,s1 placed near the shin of the leg4 ,when the piston is pressed into the cylinder1 the knee ,k is drawn towards the engine1 and the cord ,m ,s is made to lift the foot ,f from the ground2 to which it does not return until the piston has arrived at the extremity of the cylinder4 ,on the piston being again driven out of the cylinder1 the foot ,f1 being placed on the road1 is pressed backwards by the force of the piston-rod at ,k2 but the friction of the ground preventing its backward motion1 the re-action causes the engine to advance3 and in the same manner this process is continued4 ,attached to the thigh at ,n1 above the knee1 by a joint1 is a horizontal rod ,n ,r1 which works a rack ,r4 ,this rack has beneath it a cog-wheel4 ,this cog-wheel acts in another rack below it4 ,by these means1 when the knee ,k is driven from the engine1 the rack ,r is moved backwards2 but the cog-wheel acting on the other rack beneath it1 will move the latter in the contrary direction4 ,the rack ,r being then moved in the ,pg#cci same direction with the knee ,k1 it follows that the other rack will always be moved in a contrary direction4 ,the lower rack is connected by another horizontal rod with the thigh of the leg ,l ,f1 immediately above the knee at ,n4 ,when the piston is forced inwards1 the knee ,k will thus be forced backwards2 and when the piston is forced outwards1 the knee ,k will be drawn forwards4 ,it therefore follows1 that the two knees ,k and ,k are pressed alternately backwards and forwards4 ,the foot ,f1 when the knee ,k is drawn forward1 is lifted by the means already described for the foot ,f4 ,it will be apparent1 from this description1 that the piece of mechanism here exhibited is a contrivance derived from the motion of the legs of an animal1 and resembling in all respects the fore legs of a horse4 ,it is however to be regarded rather as a specimen of great ingenuity than as a contrivance of practical utility4 7#ahf47 ,it was about this period that the important fact was first ascertained that the adhesion or friction of the wheels with the rails on which they moved was amply sufficient to propel the engine1 even when dragging after it a load of great weight2 and that in such case1 the progressive motion would be effected without any slipping of the wheels4 ,the consequence of this fact rendered totally useless all the contrivances for giving wheels a purchase on the road1 such as racks1 chains1 feet1 c4 ,the experiment by which this was determined appears to have been first tried on the ,wylam railroad2 where it was proved1 that when the road was level1 and the rails clean1 the adhesion of the wheels was sufficient1 in all kinds of weather1 to propel considerable loads4 ,by manual labour it was first ascertained how much weight the wheels of a common carriage would overcome without slipping round on the rail1 and having found the proportion which that bore to the weight1 they then ascertained that the weight of the engine would produce sufficient adhesion to drag after it on the railroad the requisite number of waggons4#ca ,in #ahad1 an engine was constructed at ,killingworth1 by ,mr4 ,stephenson1 having two cylinders with a cylindrical ,pg#cdj boiler1 and working two pair of wheels1 by cranks placed at right angles2 so that when the one was in full operation1 the other was at its dead points4 ,by these means the propelling power was always in action4 ,the cranks were maintained in this position by an endless chain1 which passed round two cogged wheels placed under the engine1 and which were fixed on the same axles on which the wheels were placed4 ,the wheels in this case were fixed on the axles1 and turned with them4 ,illustration3 ,fig4 #hg4 ,this engine is represented in fig4 #hg41 the sides being open1 to render the interior mechanism visible4 ,a ,b is the cylindrical boiler2 ,c ,c are the working cylinders2 ,d ,e are the cogged wheels fixed on the axle of the wheels of the engine1 and surrounded by the endless chain4 ,these wheels being equal in magnitude1 perform their revolutions in the same time2 so that1 when the crank ,f descends to the lowest point1 the crank ,g rises from the lowest point to the horizontal position ,d2 and1 again1 when the crank ,f rises from the lowest point to the horizontal position ,e1 the other crank rises to the highest point2 and so on4 ,a very beautiful contrivance was adopted in this engine1 by which it was suspended on springs of steam4 ,small cylinders1 represented at ,h1 are screwed by flanges to one side of the boiler1 and project within it a few inches2 they have free communication at the top with the water or steam of the boiler4 ,solid pistons are represented at ,i1 which move steam-tight in these ,pg#cda cylinders2 the cylinders are open at the bottom1 and the piston-rods are screwed on the carriage of the engine1 over the axle of each pair of wheels1 the pistons being presented upwards4 ,as the engine is represented in the figure1 it is supported on four pistons1 two at each side4 ,the pistons are pressed upon by the water or steam which occupies the upper chamber of the cylinder2 and the latter being elastic in a high degree1 the engine has all the advantage of spring suspension4 ,the defect of this method of supporting the engine is1 that when the steam loses that amount of elasticity necessary for the support of the machine1 the pistons are forced into the cylinders1 and the bottoms of the cylinders bear upon them4 ,all spring suspension is then lost4 ,this mode of suspension has consequently since been laid aside4 ,in an engine subsequently constructed by ,mr4 ,stephenson1 for the ,killingworth railroad1 the mode adopted of connecting the wheels by an endless chain and cog-wheels was abandoned2 and the same effect was produced by connecting the two cranks by a straight rod4 ,all such contrivances1 however1 have this great defect1 that1 if the fore and hind wheels be not constructed with dimensions accurately equal1 there must necessarily be a slipping or dragging on the road4 ,the nature of the machinery requires that each wheel should perform its revolution exactly in the same time2 and consequently1 in doing so1 must pass over exactly equal lengths of the road4 ,if1 therefore1 the circumference of the wheels be not accurately equal1 that wheel which has the lesser circumference must be dragged along so much of the road as that by which it falls short of the circumference of the greater wheel2 or1 on the other hand1 the greater wheel must be dragged in the opposite direction1 to compensate for the same difference4 ,as no mechanism can accomplish a perfect equality in four1 much less in six1 wheels1 it may be assumed that a great portion of that dragging effect is a necessary consequence of the principle of this machine2 and even were the wheels1 in the first instance1 accurately constructed1 it is not possible that their wear could be so exactly uniform as to continue equal4 7#ahg47 ,the next stimulus which the progress of this ,pg#cdb invention received1 proceeded from the great national work undertaken at ,liverpool1 by which that town and the extensive commercial mart of ,manchester were connected by a double line of railway4 ,when this project was undertaken1 it was not decided what moving power it might be most expedient to adopt as a means of transport on the proposed road3 the choice lay between horse power1 fixed steam engines1 and locomotive engines2 but the first1 for many obvious reasons1 was at once rejected in favour of one or other of the last two4 ,the steam engine may be applied1 by two distinct methods1 to move waggons either on a turnpike road or on a railway4 ,by the one method the steam engine is fixed1 and draws the carriage or train of carriages towards it by a chain extending the whole length of road on which the engine works4 ,by this method the line of road over which the transport is conducted is divided into a number of short intervals1 at the extremity of each of which an engine is placed4 ,the waggons or carriages1 when drawn by any engine to its own station1 are detached1 and connected with the extremity of the chain worked by the next stationary engine2 and thus the journey is performed1 from station to station1 by separate engines4 ,by the other method the same engine draws the load the whole journey1 travelling with it4 ,the ,directors of the ,liverpool and ,manchester railroad1 when that work was advanced towards its completion1 employed1 in the spring of the year #ahbi1 ,messrs4 ,stephenson and ,lock1 and ,messrs4 ,walker and ,rastrick1 experienced engineers1 to visit the different railways1 where practical information respecting the comparative effects of stationary and locomotive engines was likely to be obtained2 and from these gentlemen they received reports on the relative merits1 according to their judgment of the two methods4 ,the particulars of their calculations are given at large in the valuable work of ,mr4 ,nicholas ,wood on railways2 to which we refer the reader1 not only on this1 but on many other subjects connected with the locomotive steam engine1 into which it would be foreign to our object to enter4 ,the result of the comparison of the two systems was1 that the capital ,pg#cdc necessary to be advanced to establish a line of stationary engines was considerably greater than that which was necessary to establish an equivalent power in locomotive engines2 that the annual expense by the stationary engines was likewise greater2 and that1 consequently1 the expense of transport by the latter was greater1 in a like proportion4 ,the subjoined table exhibits the results numerically3-- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---------- ,expense of taking a ,annual ,ton of ,goods ,capital4 ,expense4 a ,mile4 ---------------------------------------- ---------------------------------------- ---------------------------------------- - s4 d4 s4 d4 ,locomotive engines #eh1jjj #j #j #be1eag #h #b #jafd penny ,stationary engines #aba1dif #g #j #db1jca #af #e #jbfi ---------------------------------------- ---------------------------------------- ---- ,locomotive system less #fc1dif #g #j #af1ead #h #c #jaje ---------------------------------------- ---------------------------------------- ---------------------------------------- - ,on the score of economy1 therefore1 the system of locomotive engines was entitled to a preference2 but there were other considerations which conspired with this to decide the choice of the ,directors in its favour4 ,an accident occurring in any part of a road worked by stationary engines must necessarily produce a total suspension of work along the entire line4 ,the most vigilant and active attention on the part of every workman1 however employed1 in every part of the line1 would therefore be necessary2 but1 independently of this1 accidents arising from the fracture or derangement of any of the chains1 or from the suspension of the working of any of the fixed engines1 would be equally injurious1 and would effectually stop the intercourse along the line4 ,on the other hand1 in locomotive engines an accident could only affect the particular train of carriages drawn by the engine to which the accident might occur2 and even then the difficulty could be remedied by having a supply of spare engines at convenient stations along the line4 ,it is true that the probability of accident is1 perhaps1 less in the stationary than in the locomotive system2 but the injurious consequences1 when accident does happen1 are prodigiously greater in the former4 ,the one system1 says ,mr4 ,walker1 is like a chain extending from ,liverpool to ,manchester1 the failure ,pg#cdd of a single link of which would destroy the whole2 while the other is like a number of short and unconnected chains1 the destruction of any one of which does not interfere with the effect of the others1 and the loss of which may be supplied with facility4 ,the decision of the ,directors was1 therefore1 in favour of locomotive engines2 and their next measure was to devise some means by which the inventive genius of the country might be stimulated to supply them with the best possible form of engines for this purpose4 ,with this view1 it was proposed and carried into effect to offer a prize for the best locomotive engine which might be produced under certain proposed conditions1 and to appoint a time for a public trial of the claims of the candidates4 ,a premium of five hundred pounds was accordingly offered for the best locomotive engine to run on the ,liverpool and ,manchester railway2 under the condition that it should produce no smoke2 that the pressure of the steam should be limited to fifty pounds on the inch2 and that it should draw at least three times its own weight1 at the rate of not less than ten miles an hour2 that the engine should be supported on springs1 and should not exceed fifteen feet in height4 ,precautions were also proposed against the consequences of the boiler bursting2 and other matters not necessary to mention more particularly here4 ,this proposal was announced in the spring of #ahbi1 and the time of trial was appointed in the following ,october4 ,the engines which underwent the trial were1 the ,rocket1 constructed by ,mr4 ,stephenson2 the ,sanspareil1 by ,hackworth2 and the ,novelty1 by ,messrs4 ,braithwaite and ,ericson4 ,of these1 the ,rocket obtained the premium4 ,a line of railway was selected for the trial1 on a level piece of road about two miles in length1 near a place called ,rainhill1 between ,liverpool and ,manchester2 the distance between the two stations was a mile and a half1 and the engine had to travel this distance backwards and forwards ten times1 which made altogether a journey of thirty miles4 ,the ,rocket performed this journey twice3 the first time in #b hours #ad minutes and #h seconds2 and the second time in #b hours #f minutes and #di seconds4 ,its speed at different parts of the journey varied3 its greatest rate of motion was ,pg#cde rather above #bi miles an hour2 and its least1 about #aa-a_/b miles an hour4 ,the average rate of the one journey was #ac-d_/aj miles an hour2 and of the other1 #ad-b_/bj miles4 ,this was the only engine which performed the complete journey proposed1 the others having been stopped from accidents which occurred to them in the experiment4 ,the ,sanspareil performed the distance between the stations eight times1 travelling #bb-a_/b miles in #a hour #cg minutes and #af seconds4 ,the greatest velocity to which this engine attained was something less than #bc miles per hour4 ,the ,novelty had only passed twice between the stations when the joints of the boiler gave way1 and put an end to the experiment4 7#ahh47 ,the great object to be attained in the construction of these engines was1 to combine with sufficient lightness the greatest possible heating power4 ,the fire necessarily acts on the water in two ways3 first1 by its radiant heat2 and second1 by the current of heated air which is carried by the draught through the flues1 and finally passes into the chimney4 ,to accomplish this object1 therefore1 it is necessary to expose to both these sources of heat the greatest possible quantity of surface in contact with the water4 ,these ends were attained by the following admirable arrangement in the ,rocket3-- ,illustration3 ,fig4 #hh4 ,illustration3 ,fig4 #hi4 ,this engine is represented in fig4 #hh4 ,it is supported on four wheels2 the principal part of the weight being thrown on one pair1 which are worked by the engine4 ,the boiler consists of a cylinder six feet in length1 with flat ends2 the chimney issues from one end1 and to the other end is attached a square box ,b1 the bottom of which is furnished with the grate on which the fuel is placed4 ,this box is composed of two casings of iron1 one contained within the other1 having between them a space about three inches in breadth2 the magnitude of the box being three feet in length1 two feet in width1 and three feet in depth4 ,the casing which surrounds the box communicates with the lower part of the boiler by a pipe marked ,c2 and the same casing at the top of the box communicates with the upper part of the boiler by another pipe marked ,d4 ,when water is admitted into the boiler1 therefore1 it flows freely1 through the pipe ,c1 into the casing which ,pg#cdf surrounds the furnace or fire-box1 and fills this casing to the same level as that which it has in the boiler4 ,when the engine is at work1 the boiler is kept about half filled with water2 and1 consequently1 the casing surrounding the furnace is completely filled4 ,the steam which is generated in the water contained in the casing finds its exit through the pipe ,d1 and escapes into the upper part of the boiler4 ,a section of the engine1 taken at right angles to its length1 is represented at fig4 #hi4 ,through the lower part of the boiler pass a number of copper tubes of small size1 which communicate at one end with the fire-box1 and at the other with the chimney1 and form a passage for the heated air from the furnace to the chimney4 ,the ignited fuel spread on the grate at the bottom of the fire-box disperses its heat by radiation1 and acts in this manner on the whole surface of the casing surrounding the fire-box2 and thus raises the temperature of the thin shell of water contained in that casing4 ,the chief ,pg#cdg part of the water in the casing1 being lower in its position than the water in the boiler1 acquires a tendency to ascend when heated1 and passes into the boiler2 so that a constant circulation of the heated water is maintained1 and the water in the boiler must necessarily be kept at nearly the same temperature as the water in the casing4 ,the air which passes through the burning fuel1 and which fills the fire-box1 is carried by the draught through the tubes which extend through the lower part of the boiler2 and as these tubes are surrounded on every side with the water contained in the boiler1 this air transmits its heat through these tubes to the water4 ,it finally issues into the chimney1 and rises by the draught4 ,the power of this furnace must necessarily depend on the power of draught in the chimney2 and to increase this1 and at the same time to dispose of the waste steam after it has worked the piston1 this steam is carried off by a pipe ,l1 which passes from the cylinder to the chimney1 and escapes there in a jet which is turned upwards4 ,by the velocity with which it issues from this jet1 and by its great comparative levity1 it produces a strong current upwards in the chimney1 and thus gives force to the draught of the furnace4 ,in fig4 #hi4 the grate-bars are represented at the bottom of the fire-box at ,f4 ,there are two cylinders1 one of which works each wheel2 one only appearing in the drawing fig4 #hh41 the other being concealed by the engine4 ,the spokes which these cylinders work are placed at right angles on the wheels2 the wheels being fixed on a common axle1 with which they turn4 ,in this engine1 the surface of water surrounding the fire-box1 exposed to the action of radiant heat1 amounted to twenty square feet1 which received heat from the surface of six square feet of burning fuel on the bars4 ,the surface exposed to the action of the heated air amounted to #aah square feet4 ,the engine drew after it another carriage1 containing fuel and water2 the fuel used was coke1 for the purpose of avoiding the production of smoke4 7#ahi47 ,the ,sanspareil of ,mr4 ,hackworth is represented in fig4 #ij42 the horizontal section being exhibited in fig4 #ia4 ,illustration3 ,fig4 #ij4 ,illustration3 ,fig4 #ia4 ,the draught of the furnace is produced in the same manner as in the ,rocket1 by ejecting the waste steam coming from ,pg#cdh the cylinder into the chimney2 the boiler1 however1 differs considerably from that of the ,rocket4 ,a recurved tube passes through the boiler1 somewhat similar to that already described in the early engine of ,messrs4 ,trevethick and ,vivian4 ,in the horizontal section 7fig4 #ia471 ,d expresses the opening of the furnace at the end of the boiler1 beside the chimney4 ,the grate-bars appear at ,a1 supporting the burning fuel2 and a curved tube passing through the boiler1 and terminating in the chimney1 is expressed at ,b1 the direction ,pg#cdi of the draught being indicated by the arrow2 ,c is a section of the chimney4 ,the cylinders are placed1 as in the ,rocket1 on each side of the boiler2 each working a separate wheel1 but acting on spokes placed at right angles to each other4 ,the tube in which the grate and flue are placed diminishes in diameter as it approaches the chimney4 ,at the mouth where the grate was placed1 its diameter was two feet2 and it was gradually reduced1 so that1 at the chimney1 its diameter was only fifteen inches4 ,the grate-bars extended five feet into the tube4 ,the surface of water exposed to the radiant heat of the fire was sixteen square feet2 and that exposed to the action of the heated air and flame was about seventy-five square feet4 ,the magnitude of the grate1 or sheet of burning fuel which radiated heat1 was ten square feet4 7#aij47 ,the ,novelty1 of ,messrs4 ,braithwaite and ,ericson1 is represented in fig4 #ib42 and a section of the generator and boiler is exhibited in fig4 #ic42 the corresponding parts in the two figures are marked by the same letters4 ,illustration3 ,fig4 #ib4 ,a is the generator or receiver containing the steam which works the engine2 this communicates with a lower generator ,b1 which extends in a horizontal direction the entire length of the carriage4 ,within the generator ,a is contained the furnace ,f1 which communicates in a tube ,c1 carried up through the generator1 and terminated at the top by sliding shutters1 which exclude the air1 and which are only opened to supply fuel to the grate ,f4 ,below the grate the furnace is not open1 as usual1 to the atmosphere1 but communicates1 ,pg#cej by a tube ,e1 with a bellows ,d2 which is worked by the engine1 and which forces a constant stream of air1 by the tube ,e1 through the fuel on ,f1 so as to keep that fuel in vivid combustion4 ,the heated air contained in the furnace ,f is driven on1 by the same force1 through a small curved tube marked e1 which circulates like a worm 7as represented in fig4 #ic47 through the horizontal generator or receiver2 and1 tapering gradually1 until reduced to very small dimensions1 it finally issues into the chimney ,g4 ,the air in passing along this tube1 imparts its heat to the water by which the tube is surrounded1 and is brought to a considerably reduced temperature when discharged into the chimney4 ,the cylinder1 which is represented at ,k1 works one pair of wheels1 by means of a bell-crank1 the other pair1 when necessary1 being connected with them4 ,illustration3 ,fig4 #ic4 ,in this engine1 the magnitude of the surface of burning fuel on the grate-bars is less than two square feet2 the surface exposed to radiant heat is nine and a half square feet2 and the surface of water exposed to heated air is about thirty-three square feet4 ,the superiority of the ,rocket may be attributed chiefly to the greater quantity of surface of the water which is exposed to the action of the fire4 ,with a less extent of grate-bars than the ,sanspareil1 in the proportion of three to five1 it exposes a greater surface of water to radiant heat1 in the proportion of four to three2 and a greater surface of water to heated air1 in the proportion of more than three to two4 ,it was found that the ,rocket1 compared with the ,sanspareil1 consumed fuel1 in the evaporation of a given quantity of water1 ,pg#cea in the proportion of eleven to twenty-eight4 ,the suggestion of using the tubes to conduct through the water the heated air to the chimney is due to ,mr4 ,booth1 treasurer of the ,liverpool and ,manchester ,railway ,company4 7#aia47 ,the object to be effected in the boilers of these engines is1 to keep a small quantity of water at an excessive temperature1 by means of a small quantity of fuel kept in the most active state of combustion4 ,to accomplish this1 it is necessary1 first1 so to shape the boiler1 furnace1 and flues1 that the water shall be in contact with as extensive a surface as possible1 every part of which is acted on1 either immediately1 by the heat radiating from the fire1 or mediately1 by the air which has passed through the fire1 and which finally rushes into the chimney3 and1 secondly1 that such a forcible draught should be maintained in the furnace1 that a quantity of heat shall be extricated from the fuel1 by combustion1 sufficient to maintain the water at the necessary temperature1 and to produce the steam with sufficient rapidity4 ,to accomplish these objects1 therefore1 the chamber containing the grate should be completely surrounded by water1 and should be below the level of the water in the boiler4 ,the magnitude of the surface exposed to radiation should be as great as is consistent with the whole magnitude of the machine4 ,the comparative advantage which the ,rocket possessed in these respects over the other engines will be evident on inspection4 ,in the next place1 it is necessary that the heat1 which is absorbed by the air passing through the fuel1 and keeping it in a state of combustion1 should be transferred to the water before the air escapes into the chimney4 ,air being a bad conductor of heat1 to accomplish this it is necessary that the air in the flues should be exposed to as great an extent of surface in contact with the water as possible4 ,no contrivance can be less adapted for the attainment of this end than one or two large tubes traversing the boiler1 as in the earliest locomotive engines3 the body of air which passed through the centre of these tubes had no contact with their surface1 and1 consequently1 passed into the chimney at nearly the same temperature as that which it had when it quitted the fire4 ,the only portion of air which imparted its heat to the water ,pg#ceb was that portion which passed next to the surface of the tube4 ,several methods suggest themselves to increase the surface of water in contact with a given quantity of air passing through it4 ,this would be accomplished by causing the air to pass between plates placed near each other1 so as to divide the current into thin strata1 having between them strata of water1 or it might be made to pass between tubes differing slightly in diameter1 the water passing through an inner tube1 and being also in contact with the external surface of the outer tube4 ,such a method would be similar in principle to the steam-jacket used in ,watt's steam engines1 or to the condenser of ,cartwright's engine already described4 ,but1 considering the facility of constructing small tubes1 and of placing them in the boiler1 that method1 perhaps1 is1 on the whole1 the best in practice2 although the shape of a tube1 geometrically considered1 is most unfavourable for the exposure of a fluid contained in it to its surface4 ,the air which passes from the fire-chamber1 being subdivided as it passes through the boiler by a great number of very small tubes1 may be made to impart all its excess of heat to the water before it issues into the chimney4 ,this is all which the most refined contrivance can effect4 ,the ,rocket engine was traversed by twenty-five tubes1 each three inches in diameter2 and the principle has since been carried to a much greater extent4 ,the abstraction of a great quantity of heat from the air before it reaches the chimney is attended with one consequence1 which1 at first view1 would present a difficulty apparently insurmountable2 the chimney would1 in fact1 lose its power of draught4 ,this difficulty1 however1 was removed by using the waste steam1 which had passed from the cylinder after working the engine1 for the purpose of producing a draught4 ,this steam was urged through a jet presented upwards in the chimney1 and driven out with such force in that direction as to create a sufficient draught to work the furnace4 ,it will be observed that the principle of draught in the ,novelty is totally distinct from this3 in that engine the draught is produced by a bellows worked by the engine4 ,the question1 as far as relates to these two methods1 is1 whether more power ,pg#cec is lost in supplying the steam through the jet1 as in the ,rocket1 or in working the bellows1 as in the ,novelty4 ,the force requisite to impel the steam through the jet must be exerted by the returning stroke of the piston1 and1 consequently1 must rob the working effect to an equivalent amount4 ,on the other hand1 the power requisite to work the bellows in the ,novelty must be subducted from the available power of the engine4 ,the former method has been hitherto found to be the more effectual and economical4 ,the importance of these details will be understood1 when it is considered that the only limit to the attainment of speed by locomotive engines is the power to produce1 in a given time1 a certain quantity of steam4 ,each stroke of the piston causes one revolution of the wheels1 and consumes four cylinders full of steam3 consequently1 a cylinder of steam corresponds to a certain number of feet of road travelled over3 hence it is that the production of a rapid and abundant supply of heat1 and the imparting of that heat quickly and effectually to the water1 is the key to the solution of the problem to construct an engine capable of rapid motion4 ,the method of subdividing the flue into tubes was carried much further by ,mr4 ,stephenson after the construction of the ,rocket2 and1 indeed1 the principle was so obvious1 it is only surprising that1 in the first instance1 tubes of smaller diameter than three inches were not used4 ,in engines since constructed1 the number of tubes vary from ninety to one hundred and twenty1 the diameter being reduced to two inches or less2 and in some instances tubes have been introduced1 even to the number of one hundred and fifty1 of one and a half inch diameter4 ,in the ,meteor1 twenty square feet are exposed to radiation1 and one hundred and thirty-nine to the contact of heated air2 in the ,arrow1 twenty square feet to radiation1 and one hundred and forty-five to the contact of heated air4 ,the superior economy of fuel gained by this means will be apparent by inspecting the following table1 which exhibits the consumption of fuel which was requisite to convey a ton weight a mile in each of four engines1 expressing also the rate of the motion3-- ,pg#ced ---------------------------------------- ---------------------------------------- ---------------------------------------- ,average ,rate of ,consumption of ,coke ,engines4 ,speed in ,miles per in ,pounds per ,ton ,hour4 per ,mile4 ---------------------------------------- ---------------------------------------- ---------------------------------------- ,no4 #a4 ,rocket #ad #bda #b4 ,sanspareil #ae #bdg #c4 ,phnix #ab #adb #d4 ,arrow #ab #abe ---------------------------------------- ---------------------------------------- ---------------------------------------- 7#aib47 ,since the period at which this railway was opened for the actual purposes of transport1 the locomotive engines have been in a state of progressive improvement4 ,scarcely a month has passed without suggesting some change in the details1 by which fuel might be economised1 the production of steam rendered more rapid1 the wear of the engine rendered slower1 the proportionate strength of the different parts improved1 or some other desirable end obtained4 ,engines constructed in the form of the ,rocket1 were subject to two principal defects4 ,the cylinders1 being placed outside the engine1 were exposed to the cold of the atmosphere1 which produced a waste of heat more or less considerable by condensation4 ,the points at which the power of the steam to turn the wheels was applied1 being at the extremities of the axle and on the exterior of the wheel1 a considerable strain was produced1 owing to the distance of the point of application of the power from the centre of resistance4 ,if it were possible that the impelling power could act in drawing the train at all times with equal energy on both sides of the engine1 then no injurious strain would be produced2 but from the relative position of the points on the opposite wheels to which it was necessary to attach the connecting rods1 it was inevitable that1 at the moment when one of the pistons exerts its full power in driving the wheel1 the other piston must be altogether inactive4 ,the impelling power1 therefore1 at alternate moments of time1 acted on opposite wheels1 and on each of them at the greatest possible distance from the centre of the axle4 ,illustration3 ,fig4 #id4 7#aic47 ,the next step in the improvement of the machine was made with a view to remove these two defects4 ,the cylinders were transferred from the exterior of the engine to the ,pg#cee interior of the casing called the smoke-box1 ,b1 fig4 #id41 which supports the chimney1 and which receives the heated air issuing from the tubes which traverse the boiler4 ,thus placed1 the cylinders are always maintained as hot as the air which issues from the flues1 and all condensation of steam by their exposure is prevented4 ,the piston-rods are likewise brought closer together1 and nearer the centre of the engine3 the connecting rods1 no longer attached to the wheels1 are made to act upon two cranks constructed upon the axle of the wheels1 and placed at right angles to each other4 ,from the position of these cranks1 one would always be at its dead point when the other is in full action4 ,the action of the steam upon them would1 therefore1 be generally unequal2 but this would not produce the same strain as when the connecting rods are attached to points upon the exterior of the wheels1 owing to the cranks being constructed on the axle at points so much nearer its centre4 ,by this means it was found that the working of the machine was more even1 and productive of much less strain1 than in the arrangement adopted in the ,rocket1 and the earlier engines4 ,on the other hand1 a serious disadvantage was incurred by a double-cranked axle4 ,the weakness necessarily arising from such a form of axle could only be removed by great thickness ,pg#cef and weight of metal2 and even this precaution1 at first1 did not prevent their occasional fracture4 ,the forging of them was1 however1 subsequently much improved3 the cranks1 instead of being formed by bending the metal when softened by heat1 were made by cutting the square of the crank out of the solid metal2 and now it rarely happens that one of these axles fails4 ,the adoption of smaller tubes1 and a greater number of them1 with a view more perfectly to extract the heat from the air in passing to the chimney1 rendered a more forcible draft necessary4 ,this was accomplished by the adoption of a more contracted blast-pipe leading from the eduction-pipes of the cylinders and presented up the chimney4 ,a representation of such a blast-pipe1 with the two tubes leading from the cylinders and uniting together near the point1 which is presented up the chimney1 is given at p p in fig4 #ajd4 ,the engine thus improved is represented in fig4 #id4 ,a represents the cylindrical boiler1 the lower half of which is traversed by tubes1 as described in the ,rocket4 ,they are usually from eighty to one hundred in number1 and about an inch and a half in diameter2 the boiler is about seven feet in length2 the fire-chamber is attached to one end of it1 at ,f1 as in the ,rocket1 and similar in construction3 the cylinders are inserted in a chamber at the other end1 immediately under the chimney4 ,the piston-rods are supported in the horizontal position by guides2 and connecting rods extend from them1 under the engine1 to the two cranks placed on the axle of the large wheels4 ,the effects of an inequality in the road are counteracted by springs1 on which the engine rests2 the springs being below the axle of the great wheels1 and above that of the less4 ,the steam is supplied to the cylinders1 and withdrawn1 by means of the common sliding valves1 which are worked by an eccentric wheel placed on the axle of the large wheels of the carriage4 ,the motion is communicated from this eccentric wheel to the valve by sliding rods4 ,the stand is placed for the attendant at the end of the engine1 next the fire-place ,f2 and two levers ,l project from the end which communicate with the valves by means of rods1 by which the engine is governed so as to reverse the motion4 ,pg#ceg ,the wheels of these engines have been commonly constructed of wood with strong iron ties1 furnished with flanges adapted to the rails4 ,but ,mr4 ,stephenson afterward substituted1 in some instances1 wheels of iron with hollow spokes4 ,the engine draws after it a tender carriage containing the fuel and water2 and1 when carrying a light load1 is capable of performing the whole journey from ,liverpool to ,manchester without a fresh supply of water4 ,when a heavy load of merchandise is drawn1 it is usual to take in water at the middle of the trip4 7#aid47 ,in reviewing all that has been stated1 it will be perceived that the efficiency of the locomotive engines used on this railway is mainly owing to three circumstances3 #ast1 ,the unlimited power of draft in the furnace1 by projecting the waste steam into the chimney2 #b;d1 ,the almost unlimited abstraction of heat from the air passing from the furnace1 by arrangement of tubes traversing the boiler2 and1 #c;d1 ,keeping the cylinders warm1 by immersing them in the chamber under the chimney4 ,there are many minor details which might be noticed with approbation1 but these constitute the main features of the improvements4 ,the successive introduction of improvements in the engines1 some of which we have mentioned1 was accompanied by corresponding accessions to their practical power1 and to the economy of fuel4 ,in the spring of the year #ahcb1 ,i made several experiments on the ,manchester ,railway1 with a view to determine1 in the actual state of the locomotive engines at that time1 their powers with respect to the amount of load and the economy of fuel1 from which ,i select the following as examples3-- ,i4 ,on ,saturday1 the #eth of ,may1 the engine called the ,victory took #bj waggons of merchandise1 weighing gross #ib tons #ai cwt4 #a qr41 together with the tender containing fuel and water1 of the weight of which ,i have no account1 from ,liverpool to ,manchester 7#cj miles71 in #a h4 #cd min4 #de sec4 ,the train stopped to take in water half-way1 for #aj minutes1 ,pg#ceh not included in the above-mentioned time4 ,on the inclined plane rising #a in #if1 and extending #a-a_/b mile1 the engine was assisted by another engine called the ,samson1 and the ascent was performed in #i minutes4 ,at starting1 the fire-place was well filled with coke1 and the coke supplied to the tender accurately weighed4 ,on arriving at ,manchester1 the fire-place was again filled1 and the coke remaining in the tender weighed4 ,the consumption was found to amount to #ibi pounds net weight1 being at the rate of one third of a pound per ton per mile4 ,speed on the level was #ah miles an hour2 on a fall of #d feet in a mile1 #ba-a_/b miles an hour2 fall of #f feet in a mile1 #be-a_/b miles an hour2 on the rise over ,chatmoss1 #h feet in a mile1 #ag-e_/h miles an hour2 on level ground sheltered from the wind1 #bj miles an hour4 ,the wind was moderate1 but direct ahead4 ,the working wheels slipped three times on ,chatmoss1 and the train was retarded from #b to #c minutes4 ,the engine1 on this occasion1 was not examined before or after the journey1 but was presumed to be in good working order4 ,,ii4 ,on ,tuesday1 the #hth of ,may1 the same engine performed the same journey1 with #bj waggons1 weighing gross #ij tons #g cwt4 #b qrs41 exclusive of the unascertained weight of the tender4 ,the time of the journey was #a h4 #da min4 ,the consumption of coke #ajdj lbs4 net weight1 estimated as before4 ,rate of speed3-- ,level #ag-e_/h miles per hour4 ,fall of #d feet in a mile #bb ---- #f #bb-a_/b ,rise of #h #ae ,on this occasion there was a high wind ahead on the quarter1 and the connecting rod worked hot1 owing to having been keyed too tight4 ,on arriving at ,manchester1 ,i caused the cylinders to be opened1 and found that the pistons were ,pg#cei so loose1 that the steam blew through the cylinders with great violence4 ,by this cause1 therefore1 the machine was robbed of a part of its power during the journey2 and this circumstance may explain the slight decrease in speed1 and increase in the consumption of fuel1 with a lighter load1 in this journey1 compared with that performed on the #eth of ,may4 ,the ,victory weighs #h tons #b cwt41 of which #e tons #d cwt4 rest on the drawing wheels4 ,the cylinders are #aa inches diameter1 and #af inches stroke1 and the diameter of the drawing wheels is #e feet4 ,,iii4 ,on the #bith of ,may1 the engine called the ,samson 7weighing #aj tons #b cwt41 with #ad-;inch cylinders1 and #af-;inch stroke2 wheels #d feet #f inches diameter1 both pairs being worked by the engine2 steam #ej lbs4 pressure1 #acj tubes7 was attached to #ej waggons1 laden with merchandise2 net weight about #aej tons2 gross weight1 including waggons1 #bbc tons #f cwt4 ,the tender weighed #g tons1 making a gross load 7including the engine7 of #bdj tons #h cwt4 ,the engine with this load travelled from ,liverpool to ,manchester 7#cj miles7 in #b hours and #dj min41 exclusive of delays upon the road for watering1 c42 being at the rate of nearly #ab miles an hour4 ,the speed varied according to the inclinations of the road4 ,upon a level1 it was #ab miles an hour2 upon a descent of #f feet in a mile1 it was #af miles an hour2 upon a rise of #h feet in a mile1 it was about #i miles an hour4 ,the weather was calm1 the rails very wet2 but the wheels did not slip1 even in the slowest speed1 except at starting1 the rails being at that place soiled and greasy with the slime and dirt to which they are always exposed at the stations4 ,the coke consumed in this journey1 exclusive of what was raised in getting up the steam1 was #agfb lbs41 being at the rate of a quarter of a pound per ton per mile4 7#aie47 ,the great original cost1 and the heavy expense of keeping the engines used on the railway in repair1 have pressed severely on the resources of the undertaking4 ,one of the best ,pg#cfj constructed of the later engines costs originally #aejjl4 and sometimes more4 ,the original cost1 however1 is far from being the principal source of expense3 the wear and tear of these machines1 and the occasional fracture of those parts on which the greatest strain has been laid1 have greatly exceeded what the directors had anticipated4 ,although this source of expense must be in part attributed to the engines not having yet attained that state of perfection1 in the proportion and adjustment of their parts1 of which they are susceptible1 and to which experience alone can lead1 yet there are some obvious defects which demand attention4 ,the heads of the boilers are flat1 and formed of iron1 similar to the material of the boilers themselves4 ,the tubes which traverse the boiler were1 until recently1 copper1 and so inserted into the flat head or end as to be water-tight4 ,when the boiler was heated1 the tubes were found to expand in a greater degree than the other parts of the boiler2 which frequently caused them either to be loosened at the extremities1 so as to cause leakage1 or to bend from want of room for expansion4 ,the necessity of removing and refastening the tubes caused1 therefore1 a constant expense4 ,it will be recollected that the fire-place is situated at one end of the boiler1 immediately below the mouths of the tubes3 a powerful draft of air1 passing through the fire1 carries with it ashes and cinders1 which are driven violently through the tubes1 and especially the lower ones1 situated near the fuel4 ,these tubes are1 by this means1 subject to rapid wear1 the cinders continually acting upon their interior surface4 ,after a short time it becomes necessary to replace single tubes1 according as they are found to be worn1 by new ones2 and it not unfrequently happens1 when this is neglected1 that tubes burst4 ,after a certain length of time the engines require new tubing4 ,this wear of the tubes might possibly be avoided by constructing the fire-place in a lower position1 so as to be more removed from their mouths2 or1 still more effectually1 by interposing a casing of metal1 which might be filled with water1 between the fire-place and those tubes which are the most exposed to the cinders and ashes4 ,the unequal expansion of the tubes ,pg#cfa and boilers appears to be an incurable defect1 if the present form of the engine be retained4 ,if the fire-place and chimney could be placed at the same end of the boiler1 so that the tubes might be recurved1 the unequal expansion would then produce no injurious effect2 but it would be difficult to clean the tubes1 if they were exposed1 as they are at present1 to the cinders4 ,the next source of expense arises from the wear of the boiler-heads1 which are exposed to the action of the fire4 ,a considerable improvement was subsequently introduced into the method of tubing1 by substituting brass for copper tubes4 ,i am not aware that the cause of this improvement has been discovered2 but it is certain1 whatever be the cause1 that brass tubes are subject to considerably slower wear than copper ones4 7#aif47 ,the expense of locomotive power having so far exceeded what was anticipated at the commencement of the undertaking1 it was thought advisable1 about the beginning of the year #ahcd1 to institute an inquiry into the causes which produced the discrepancy between the estimated and actual expenses1 with a view to the discovery of some practical means by which they could be reduced4 ,the directors of the company1 for this purpose1 appointed a sub-committee of their own body1 assisted by ,mr4 ,booth1 their treasurer1 to inquire and report respecting the causes of the amount of this item of their expenditure1 and to ascertain whether any and what measures could be devised for the attainment of greater economy4 ,a very able and satisfactory report was made by this committee1 or1 to speak more correctly1 by ,mr4 ,booth4 ,it appears that1 previous to the establishment of the railway1 ,messrs4 ,walker and ,rastrick1 engineers1 were employed by the company to visit various places where steam power was applied on railways1 for the purpose of forming an estimate of the probable comparative expense of working the railway by locomotive and by fixed power4 ,these engineers recommended the adoption of locomotive power2 and their estimate was1 that the transport might be effected at the rate of #bgh of a penny1 or very little more than a farthing per ton per mile4 ,in the year ,pg#cfb #ahcc1 five years after this investigation took place1 it was found that the actual cost was #fbe of a penny1 or something more than a halfpenny1 per ton per mile1 being considerably above double the estimated rate4 ,mr4 ,booth very properly directed his inquiries to ascertain the cause of this discrepancy1 by comparing the various circumstances assumed by ,messrs4 ,walker and ,rastrick1 in making their estimate1 with those under which the transport was actually effected4 ,the first point of difference which he observed was the speed of transport3 the estimate was founded on an assumed speed of ten miles an hour1 and it was stated that a four-fold speed would require an addition of #ej per cent4 to the power1 without taking into account wear and tear4 ,now1 the actual speed of transport being double the speed assumed in the statement1 ,mr4 ,booth holds it to be necessary to add #be per cent4 on that score4 ,the next point of difference is in the amount of the loads3 the estimate is founded upon the assumption1 that every engine shall start with its full complement of load1 and that with this it shall go the whole distance4 ,the facts1 however1 are1 says ,mr4 ,booth1 that1 instead of a full load of profitable carriage from ,manchester1 about half the waggons come back empty2 and1 instead of the tonnage being conveyed the whole way1 many thousand tons are conveyed only half the way2 also1 instead of the daily work being uniform1 it is extremely fluctuating4 ,it is further remarked1 that in order to accomplish the transport of goods from the branches and from intermediate places1 engines are despatched several times a-day1 from both ends of the line1 to clear the road2 the object of this arrangement being rather to lay the foundation of a beneficial intercourse in future1 than with a view to any immediate profit4 ,mr4 ,booth makes a rough estimate of the disadvantages arising from these circumstances1 by stating them at #cc per cent4 in addition to the original estimate4 ,the next point of difference is the fuel4 ,in the original estimate1 coal is assumed as the fuel1 and it is taken at the price of five shillings and ten-pence per ton3 now the act of parliament forbids the use of coal which would produce smoke2 the company have1 therefore1 been obliged to use coke1 at ,pg#cfc seventeen shillings and sixpence a ton4#cb ,taking coke1 then1 to be equivalent to coal1 ton for ton1 this would add #afb to the original estimate4 ,these several discrepancies being allowed for1 and a proportional amount being added to the original estimate1 the amount would be raised to #fja of a penny per ton per mile1 which is within one fortieth of a penny of the actual cost4 ,this difference is considered to be sufficiently accounted for by the wear and tear produced by the very rapid motion1 more especially when it is considered that many of the engines were constructed before the engineer was aware of the great speed that would be required4 ,what1 then1 says ,mr4 ,booth1 in the ,report already alluded to1 is the result of these opposite and mutually counteracting circumstances8 and what is the present position of the company in respect of their moving power8 ,simply1 that they are still in a course of experiment1 to ascertain practically the best construction1 and the most durable materials1 for engines required to transport greater weights1 and at greater velocities1 than had1 till very recently1 been considered possible2 and which1 a few years ago1 it had not entered into the imagination of the most daring and sanguine inventor to conceive3 and farther1 that these experiments have necessarily been made1 not with the calm deliberation and quiet pace which a salutary caution recommends1--making good each step in the progress of discovery before advancing another stage1--but amidst the bustle and responsibilities of a large and increasing traffic2 the directors being altogether ignorant of the time each engine would last before it would be laid up as inefficient1 but compelled to have engines1 whether good or bad2 being aware of various defects and imperfections1 which it was impossible at the time to remedy1 yet obliged to keep the machines in motion1 under all the disadvantages of heavy repairs1 constantly going on during the night1 in order that the requisite number of engines might be ready for the morning's work4 ,neither is this great experiment yet complete2 it is still going forward4 ,but the most prominent difficulties have been in a great measure surmounted1 ,pg#cfd and your committee conceive that they are warranted in expecting1 that the expenditure in this department will1 ere long1 be materially reduced1--more especially when they consider the relative performances of the engines at the present time1 compared with what it was two years ago4 ,in the half year ending #cast ,december1 #ahca1 the six best engines performed as follows3-- ,miles4 ,planet #i1ihf ,mercury #aa1jdj ,jupiter #aa1fah ,saturn #aa1ghf ,venus #ab1hej ,etna #h1gfd ------------ ,making in all #ff1jdd ------------ ,in the half year ending #cast ,december1 #ahcc1 the six best engines performed as follows3-- ,miles4 ,jupiter #af1egb ,saturn #ah1fgh ,sun #ad1eeb ,etna #ag1gfc ,ajax #aa1fgh ,firefly #ae1fjh ------------ ,making in all #ie1hea ------------ 7#aig47 ,since the date to which the preceding observations refer1 the locomotive engine has undergone several improvements in detail of considerable importance2 among which1 the addition of a third pair of wheels deserves to be particularly mentioned4 ,an engine supported on three pair of wheels has great security in the event of the fracture of any one of the axles1--the remaining axles and wheels being sufficient for the support of the machine4 ,connected with this change is another1 recommended by ,mr4 ,robert ,stephenson1 by which the flanges are removed from the driving wheels1 those upon the remaining pairs of wheels being sufficient to keep the engine in its position upon the rails4 ,we shall now describe a locomotive engine similar in construction to those almost ,pg#cfe universally used at present on railroads1 as well in this kingdom as in other countries4#cc ,the external appearance of the engine and tender is shown in the engraving at the head of this chapter4 ,in fig4 #ig4 is exhibited a vertical section of the engine made by a plane carried through its length2 and in fig4 #ih4 is exhibited a corresponding section of its tender1--the tender being supposed to be joined on to the engine at the part where the connecting points appear to be broken in the drawing4 ,in fig4 #ii4 is exhibited the plan of the working machinery1 including the cylinders1 pistons1 eccentrics1 c4 which are under the boiler1 by the operation of which the engine is driven4 ,fig4 #ajj4 represents the tender1 also taken in plan4 ,in fig4 #aja4 is represented an elevation of the hinder end of the engine next the fire-box2 and in fig4 #ajb4 is represented a cross vertical section through the fire-box1 and at right angles to the length of the engine1 showing the interior of the boiler above and beside the fire-box1 the rivets and bolts connecting the internal and external fire-boxes1 the regulator1 steam funnel1 and steam dome4 ,in fig4 #ajc4 is represented an elevation of the front of the engine next the smoke-box1 showing the cylinder covers ,w1 buffers ,t1 c42 and in fig4 #ajd4 is represented a section of the interior of the smoke-box1 made by a vertical plane at right angles to the engine1 showing the tube plate forming the foremost end of the boiler1 the branches ,s of the steam-pipe leading to the cylinders1 the blast-pipe p1 the cylinders ,h1 and the chimney ,g4 ,the same letters of reference are placed at corresponding parts in the different figures4 ,the boiler1 as has been explained in the engines already described1 is a cylinder placed upon its side1 the section of which is exhibited at ,a1 fig4 #ig4 ,the fire-box consists of two casings of metal1 one within the other4 ,the fire-grate is represented at ,d4 ,the tubes by which the products of combustion are ,pg#cff drawn from the fire-box to the smoke-box ,f are represented at ,e4 ,upon the smoke-box is erected the chimney ,g4 ,in the engine from which this drawing has been taken1 and which was used on the ,london and ,birmingham ,railway1 the boiler is a cylinder #g-a_/b feet long1 and #c-a_/b feet in diameter4 ,it is formed of wrought-iron plates #e_/af of an inch in thickness1 overlapping each other1 and bound together by iron rivets #g_/h of an inch in diameter and #a-c_/d inch apart4 ,one of these rivets1 as it joins two plates1 is represented in fig4 #ie4 ,the boiler is clothed with a boarding of wood a1 an inch in thickness1 and bound round by iron hoops screwed together at the bottom4 ,wood being a slow conductor of heat1 this covering has the effect of keeping the boiler warm1 and checking the condensation of steam which would otherwise be produced by the rapid motion of the engine through the cold air4 ,illustration3 ,fig4 #ie4 ,illustration3 ,fig4 #if4 ,the external fire-box1 ,b ,b1 is a casing nearly square in its plan1 being four feet wide outside1 and three feet seven and a half inches long1 measured in the direction of the boiler4 ,it is constructed of wrought-iron plates1 similar to those of the boiler4 ,this box descends about two feet below the boiler1 the top being semi-cylindrical1 as seen in fig4 #ajb41 of a somewhat greater diameter than the boiler1 and concentrical with it4 ,the front of the fire-box next the end of the boiler has a circular opening equal in size to the end of the boiler4 ,to the edge of this opening the boiler is fastened by angle irons1 and rivets in the manner represented in fig4 #if4 ,these rivets are seen in section in fig4 #ig4 ,the internal fire-box ,c1 fig4 #ig41 is similar in shape to the external1 only it is flat at the top1 and close every where except at the bottom4 ,between it and the external fire-box an open space of three inches and a half is left all round1 and on the side next the boiler this space is increased to four inches4 ,this internal fire-box is made of copper plates1 #g_/af ,pg#cfg of an inch in thickness1 every where except next the boiler1 where the thickness is #g_/h4 ,as the sides and front of the external fire-box1 and all the surfaces bounding the internal fire-box1 are flat1 their form is unfavourable for the resistance of pressure4 ,adequate means are1 therefore1 provided for strengthening them4 ,the plates forming the internal fire-box are bent outwards near the bottom1 until they are brought into contact with those of the external fire-box1 to which they are attached by copper rivets1 as represented at f in fig4 #ig4 ,the plates forming the bounding surfaces of the two fire-boxes are fastened together by stays represented at k in figs4 #ig4 and #ajb4 ,these stays1 which are of copper1 have a screw cut upon them through their whole length1 and holes are made through the plates of both fire-boxes tapped with corresponding threads4 ,the copper screws are then passed through them1 and rivets formed on their heads within and without1 as seen in fig4 #ajb4 ,these screw rivets connect all parts of the plating of the two fire-boxes which are opposed to each other3 they are placed at about four inches apart over the sides and back of the internal fire-place and that part of the front which is below the boiler4 ,illustration3 ,fig4 #ig4 ,,longitudinal ,,vertical ,,section ,,of ,a ,,locomotive ,,engine4 ,illustration3 ,fig4 #ih4 ,,longitudinal ,,vertical ,,section ,,of ,,the ,,tender4 ,illustration3 ,fig4 #ii4 ,,plan ,,of ,,the ,,working ,,machinery ,,of ,a ,,locomotive ,,engine4 ,illustration3 ,fig4 #ajj4 ,,plan ,,of ,,the ,,tender4 ,illustration3 ,fig4 #aja4 ,,elevation ,,of ,,the ,,hinder ,,end ,,of ,a ,,locomotive ,,engine4 ,illustration3 ,fig4 #ajb4 ,,cross ,,vertical ,,section ,,of ,,the ,,engine ,,through ,,the ,,fire-,,box4 ,illustration3 ,fig4 #ajc4 ,,elevation ,,of ,,the ,,foremost ,,end ,,of ,,the ,,engine4 ,illustration3 ,fig4 #ajd4 ,,cross ,,vertical ,,section ,,of ,,engine ,,through ,,the ,,smoke-,,box4 ,as the top of the internal fire-box cannot be strengthened by stays of this kind1 ribs of wrought-iron1 which are seen in their length at l1 in fig4 #ig41 and of which an end view is seen in fig4 #ajb41 are attached by bolts to it4 ,these ribs are hollowed out1 as seen in fig4 #ig41 between bolt and bolt1 in order to break their contact with the roof of the fire-box1 and allow a more free passage to the heat through it4 ,if they were in continuous contact with the fire-box1 the metal composing them would become more highly heated1 and would soon wear out1 besides intercepting heat from the water4 ,this part of the fire-box is subject to rapid wear1 unless care be taken that the level of the water be preserved at its proper height in the boiler4 ,even when the boiler is properly filled1 the depth of water above the roof of the fire-box is not considerable1 and on the least neglect the roof may be exposed to the contact of steam1 in which case it will soon be destroyed4 ,to prevent accidents arising from this cause1 a leaden plug1 ,pg#cfh represented at m1 figs4 #ig4 and #ajb41 is inserted in the roof of the internal fire-box4 ,if the water be allowed to subside1 this plug will melt out before the copper is very injuriously heated1 and the steam rushing out at the aperture will cause the fire to be extinguished4 ,copper fire-boxes are almost universally used2 but sometimes1 from the consideration of cheapness1 the internal fire-box is constructed of iron4 ,in the plating which forms the back of the external fire-box1 an oval aperture is formed1 as represented in the back view of the engine1 fig4 #aja41 for the fire-door g4 ,the plating of the internal fire-box around this aperture is bent at right angles to meet that of the external fire-box1 to which it is fastened by a row of copper rivets4 ,the fire-door is formed of two plates of wrought-iron1 riveted together with a space of nine inches and a half between them4 ,the air between these plates being an imperfect conductor of heat1 keeps the outer plate of the fire-door at a moderate temperature4 ,in that part of the surface of the internal fire-box which forms the end of the boiler1 holes are made to receive the extremities of the tubes1 by which the air proceeding from the fire is drawn to the smoke-box at the remote end of the boiler4 ,these tubes are represented in longitudinal section at ,e1 fig4 #ig41 and their ends are seen in the surface of the internal fire-box in fig4 #ajb41 and in the remote end of the boiler where they terminate in the smoke-box in fig4 #ajd4 ,these tubes are formed of the best rolled brass1 and their thickness in the engine1 to which we now refer1 is #a_/ac of an inch4 ,after the brass plating is bent into the form of a tube1 and being overlapped1 is properly soldered together1 and the edges smoothed off1 the tubes are made perfectly cylindrical by being drawn through a circular steel die4 ,illustration3 ,fig4 #aje4 ,the tube-plates 7as those parts of the boiler ends in which the tubes are inserted are called7 are bored with holes in corresponding positions1 truly cylindrical1 and corresponding in magnitude to the tubes1 so that the tubes1 when passed into them1 will be just in contact with them4 ,the length of the tubes is so regulated1 that when extending from end to end of the boiler1 and passing through the holes1 they shall ,pg#cfi project at each end a little beyond the holes4 ,the manner of fastening them so as to be water-tight is as follows3--,a steel hoop or ferrule1 made slightly conical1 a section of which is exhibited at ,c4 fig4 #aje41 the smaller end of which is a little less than the internal diameter of the tube1 but which increases towards the outer end1 is driven in as represented in the figure4 ,it acts as a wedge1 and forces the tube into close contact with the edges of the hole in the tube-plate4 ,when particular tubes in a boiler are worn out1 and require to be replaced1 their removal is easily effected4 ,it is only necessary to cut the steel ferrule on the inside1 and to bend it off from contact with the tube1 by which means it can be loosened and withdrawn1 and the tube removed4 ,in the engine to which this description refers there were one hundred and twenty-four tubes1 the external diameter of which was #a-e_/h inch4 ,the distance between tube and tube was #c_/d of an inch4 ,the number of tubes vary in different engines1 some having so many as one hundred and fifty1 while the number in some is less than ninety4 ,the evaporating power of an engine greatly depends on the proper number and magnitude of its tubes2 and the experience which engineers have had on railways have led them gradually to increase the number of tubes1 and diminish their magnitude4 ,in the ,rocket1 already mentioned as having gained the prize on the opening of the ,liverpool and ,manchester ,railway1 the number of tubes was twenty-four1 and their diameter three inches2 but in all the engines subsequently made their number was augmented1 and their diameter diminished4 ,the practical inconvenience which limits the size of the tubes is their liability to become choked by cinders and ashes1 which get wedged in them when they are too small1 and thereby obstruct the draft1 and diminish the evaporating power of the boiler4 ,the tubes now in use1 of about an inch and a ,pg#cgj half internal diameter1 not only require to be cleared of the ashes and cinders1 which get fastened in them after each journey1 but it is necessary throughout a journey of any length that the tubes should be picked and cleaned by opening the fire door at convenient intervals4 ,the substitution of brass for copper tubes1 which has been already mentioned as so great an improvement in the construction of locomotive engines1 is ascribed to ,mr4 ,dixon1 who suggested them in #ahcc1 being then the resident engineer of the ,liverpool and ,manchester ,railway4 ,they are said to last six or eight times as long as copper tubes of the same dimensions4 ,when tubes fail1 they are usually destroyed by the pressure of the water crushing them inwards3 the water enters through the rent made in the tube1 and flowing upon the fire extinguishes it4 ,when a single tube thus fails upon a journey1 the engine1 notwithstanding the accident1 may generally be made to work to the end of its journey by plugging the ends of the broken tube with hard wood2 the water in contact with which will prevent the fire from burning it away4 ,tubes of the dimensions here referred to weigh about sixteen pounds1 and lose from six to seven pounds before they are worn out4 ,their cost is about one pound each4 ,the tubes act as stays1 connecting the ends of the boiler to strengthen them4 ,besides these1 there are rods of wrought iron extended from end to end of the boiler above the roof of the internal fire-place4 ,these rods are represented at o in their length in fig4 #ig41 and an end view of them is seen in fig4 #ajb4 ,the smoke-box ,f1 fig4 #ig4 #ajd41 containing the cylinders1 steam-pipe1 and blast-pipe1 is four feet wide1 and two feet long4 ,it is formed of wrought iron plates1 half an inch thick on the side next the boiler1 and a quarter of an inch elsewhere4 ,the plates are riveted in the same manner as those of the fire-box already described4 ,from the top of the smoke-box1 which1 like the fire-box1 is semi-cylindrical1 as seen in elevation in fig4 #ajc41 and in section fig4 #ajd41 rises the chimney ,g1 fifteen inches diameter1 and formed of #a_/h inch iron plates1 riveted and bound round by hoops4 ,it is flanged to the top of the ,pg#cga smoke-box1 as represented in fig4 #ajd4 ,near the bottom of the smoke-box the working cylinders are placed1 side by side1 in a horizontal position1 with the slide valves upwards4 ,in the top of the external fire-box a circular aperture is formed fifteen inches in diameter1 and upon this aperture is placed the steam-dome ,t 7figs4 #ig4 #aja1 #ajb47 two feet high1 and attached around the circular aperture by a flange and screw secured by nuts4 ,this steam dome is made of brass #c_/h inch thick4 ,in stationary boilers1 where magnitude is not limited1 it has been already explained1 that the space allowed for steam is sufficiently large to secure the complete separation of the vapour from the spray which is mixed with it when it issues immediately from the water4 ,in locomotive boilers sufficient space cannot be allowed for this1 and the separation of the water from the steam is effected by the arrangement here represented4 ,a funnel-shaped tube d 7figs4 #ig4 #ajb471 with its wide end upwards1 rises into the steam-dome1 and reaches nearly to the top of it4 ,this funnel bends towards the back of the fire-box1 and is attached by a flange and screws to the great steam-pipe ,s1 which traverses the whole length of the boiler4 ,the steam rising from the boiler fills the steam-dome ,t1 and descends in the funnel-shaped tube d4 ,the space it has thus to traverse enables the steam to disengage itself almost completely from the priming4 ,the wider part of the great steam-pipe a is flanged and screwed at the hinder end to a corresponding aperture in the back plate of the fire-box4 ,this opening is covered by a circular plate1 secured by screws1 having a stuffing-box in its centre1 of the same kind as is used for the piston-rods of steam-cylinders4 ,through this stuffing-box the spindle a of the regulator passes1 and to its end is attached a winch h1 by which the spindle a is capable of being turned4 ,this winch is limited in its play to a quarter of a revolution4 ,the other end of the spindle a is attached to a plate e seen edgeways in fig4 #ig41 and the face of which is seen in fig4 #ajb43 this circular plate e is perforated with two apertures somewhat less than quadrants4 ,that part of the plate1 therefore1 which remains not pierced forms two solid pieces somewhat greater than quadrants4 ,this plate is ground so as to move in steam-tight ,pg#cgb contact with a fixed plate under it1 which terminates at the wide end of the conical mouth of the steam-pipe ,s4 ,this fixed circular plate is likewise pierced with two nearly quadrantal apertures1 corresponding with those in the movable plate e4 ,when the movable plate e is turned round by the winch h1 the apertures in it may be made to correspond with those of the fixed circular plate on which it moves1 in which position the steam-pipe ,s communicates with the funnel d by the two quadrantal apertures thus open4 ,if1 on the other hand1 the winch h be moved from this position through a quarter revolution1 then the quadrantal openings in the movable plate will be brought over the solid parts of the fixed plate on which it moves1 and these solid parts being a little more than quadrants1 while the openings are a little less1 all communication between the steam-pipe ,s and the funnel d will be stopped1 for in this case the quadrantal openings in the fixed and movable plates respectively will be stopped by the solid parts of these plates4 ,it will be evident that as the winch h of the regulator is moved from the former position to the latter1 in every intermediate position the aperture communicating between the funnel d and the steam-pipe ,s will be less in magnitude than the complete quadrant4 ,it will in fact be composed of two openings having the form of sectors of a circle less than a quadrant1 and these sectors may be made of any magnitude1 however small1 until the opening is altogether closed4 ,by such means the admission of steam from the boiler to the steam-pipe ,s may be regulated by the winch h4 ,the steam being admitted to the steam-pipe passes through it to the front end of the boiler1 and the pipe being enclosed within the boiler the temperature of the steam is maintained4 ,the steam-pipe passing through the tube-plate at the front end of the boiler is carried to a small distance from the tube-plate in the same direction1 where it is flanged on to a cross horizontal pipe proceeding to the right and to the left as represented in fig4 #ajd4 ,this cross pipe is itself flanged to two curved steam-pipes ,s 7fig4 #ajd471 by which the steam is conducted to the valve-boxes ,v ,v4 ,the lower ends of these curved arms are flanged on to the valve-boxes of the two cylinders ,pg#cgc at the ends nearest to the boiler4 ,the opening of one of these is exhibited in the right hand cylinder in fig4 #ii4 ,by these pipes the steam is conducted into the valve-boxes or steam-chests1 from which it is admitted by slide-valves to the cylinders to work the pistons in the same manner as has been already described in the large stationary engines4 ,on the upper sides of the cylinders are formed the steam-chests or valve-boxes1 which are exhibited at ,u 7figs4 #ig4 #ii4 #ajd474 ,these are made of cast-iron half an inch thick1 and are bolted to the upper side of each cylinder4 ,at the front end they are also secured by bolts to the smoke-box1 and at the hinder end are attached to the tube-plate4 ,these valve-boxes communicate with the passages m and n fig4 #ii4 leading to the top and bottom of the cylinder3 these are called the steam-ports4 ,they also communicate with a passage o leading to the mouth of a curved horizontal pipe p connecting the front ends of the two cylinders1 as seen in figs4 #ii4 #ajd4 ,these curved pipes unite in a single vertical pipe p1 called the blast-pipe1 seen in figs4 #ig4 #ajd43 this vertical pipe becomes gradually small towards the top1 and terminates a little above the base of the funnel or chimney ,g4 ,in the valve-box is placed the slide-valve v to which is attached the spindle l4 ,this spindle moves through a stuffing-box k1 and is worked by gearing1 which will be described hereafter4 ,according to the position given to the slide1 a communication may be opened between the steam-chest1 or the waste-port1 and either end of the cylinders4 ,thus when the slide is in the position represented in fig4 #ig4 the steam-chest communicates with the front end of the cylinder1 while the waste-port communicates with the hinder end4 ,if1 on the other hand1 the spindle l being pressed forward1 move the slide to its extreme opposite position1 the steam-port n would communicate with the waste-port o1 while the steam-chest would communicate with the steam-port m1 steam would1 therefore1 be admitted to the hinder end of the cylinder1 while the foremost end would communicate with the waste-port4 ,it will be perceived that this arrangement is precisely similar to that of the slide-valves already described 7#acc474 ,the slide-valve is represented on a larger scale in fig4 #ajf41 where ,a is the hinder steam-port1 ,pg#cgd ,b the foremost steam-port1 and ,c the waste-port4 ,the surfaces ,d1 separating the steam-ports from the waste-ports1 are called the bars3 they are planed perfectly smooth1 so that the surfaces ,f and ,g of the slide-valve1 also planed perfectly smooth1 may move in steam-tight contact with them4 ,these surfaces are kept in contact by the pressure of the steam in the steam-chest1 by which the slide-valve is always pressed down4 ,in its middle position1 as represented by the dotted lines in the figure1 both the steam-ports are stopped by the slide-valve1 so that at that moment no steam is admitted to either end of the cylinder4 ,on either side of this intermediate position the slide has an inch and a half play1 which is sufficient to open successively the two steam-ports4 ,illustration3 ,fig4 #ajf4 ,the cylinders are inserted at one end in the plate of the smoke-box1 and at the other in the tube-plate of the boiler4 ,they are closed at either end by cast iron covers1 nearly an inch thick1 flanged on by bolts and screws4 ,in the cover of the cylinder attached to the tube-plate is a stuffing-box1 in which the piston rod plays4 ,the metallic pistons used in locomotive engines do not differ materially from those already described1 and therefore need not be here particularly noticed4 ,from their horizontal position they have a tendency to wear unequally in the cylinders1 their weight pressing them on one side only2 but from their small magnitude this effect is found to be imperceptible in practice4 ,in the engine here described the stroke of the piston is eighteen inches1 and this is the most usual length of stroke in locomotive engines4 ,the piston1 in its play1 comes at either end within about half an inch of the inner surface of the covers of the cylinders1 this space being allowed to prevent collision4 ,in the foremost cover of the cylinder is inserted a cock q 7fig4 #ig4 #ii471 by which any water which may collect in the cylinder by condensation or priming may be discharged4 ,a cock r 7fig4 #ig471 communicating with a small tube proceeding from the branches of the waste pipe p 7fig4 #ajd471 is likewise provided to discharge from that pipe any water which may be ,pg#cge collected in it4 ,after the steam has been admitted to work the piston through the slide-valve1 and has been discharged through the waste-port by shifting that valve1 it passes through the pipe p into the blast-pipe p1 from the mouth of which it issues1 with great force1 up the funnel ,g4 ,when the motion of the engine is rapid1 the steam from the two cylinders proceeds in an almost uninterrupted current from the blast-pipe1 and causes a strong draft up the chimney4 ,the heated air which passes from the mouths of the tubes into the smoke-box is drawn up by this current1 and a corresponding draft is produced in the fire-box4 ,illustration3 ,fig4 #ajg4 ,the piston-rods ,y terminate in a fork1 by which they are attached to cross heads ,z1 the ends of which are confined by guide-bars ,a1 in which they are allowed to play backwards and forwards through a space equal to the stroke of the piston4 ,to these cross heads ,z1 between the prongs of the fork in which the piston terminates1 are attached the foremost ends of the connecting rods ,b4 ,these rods are1 therefore1 driven backwards and forwards by the motion imparted to the cross head ,z by the piston-rods ,y4 ,the connecting rods ,b are attached at the hinder ends to two cranks formed upon the axles ,c of the driving wheels ,d4 ,these two cranks are formed upon the axles precisely at right angles to each other4 ,the left-hand crank is represented in its horizontal position1 in fig4 #ii41 and the right-hand crank is seen in its vertical position4 ,a cranked axle is represented on a larger scale in fig4 #ajg41 and the two cranks are seen in a position oblique to the plane of the figure4 ,as this axle is the instrument by which the impelling force is conveyed to the load1 and as it has to support a great portion of the weight of the engine1 it is constructed with great strength and precision4 ,it is made all in one ,pg#cgf piece1 and of the best wrought iron called ,back ,barrow1 or scrap iron4 ,in the engine here described its extreme length is six feet and a half1 and its diameter is five inches4 ,at the centre part ,a it is cylindrical1 and is increased to five inches and a quarter at ,c1 where the cranks are formed4 ,the sides ,d of the cranks are four inches thick1 and the crank pins ,b1 which are truly cylindrical1 are five inches diameter1 and three inches in length1 the brasses at the extremities of the connecting rods which play upon them having a corresponding magnitude4 ,the distance from the centre of the crank-pins ,b to the centre of the axle ,a must be exactly equal to half the stroke of the piston1 and is1 therefore1 in this case precisely nine inches4 ,upon the parts ,f1 which are seven inches and a half long1 the great driving wheels are firmly fastened1 so as to be prevented from turning or shaking upon the axle4 ,the axle projects beyond the wheels at ,g1 where it is reduced to three inches and an eighth diameter4 ,these projecting parts ,g are five inches long1 having collars at the outer ends4 ,brasses are fixed at the outside frame of the engine which rest upon these projections ,g of the axle1 and upon these brasses the weight of the engine is supported4 ,the entire axle is accurately turned in a lathe1 and each of the crank-pins ,b is likewise turned by suspending the axle on centres corresponding with the centres of the crank-pins1 and made on strong cast iron arms1 which are firmly fixed on the ends of the axle1 and project beyond the cranks so as to balance the axle1 and enable it to turn round on the centre of the crank-pin4 ,the axle is by such means made perfectly true1 and the cranks are made of exactly the proper length1 and precisely at right angles to each other4 ,the corners of the cranks are champered off1 as shown in the figure1 and the ends of the cylindrical parts well rounded out4 ,the strength and accuracy of construction indispensable in these cranked axles1 in order to make them execute their work1 render them very expensive4 ,those which are here described cost about #ejl4 each4 ,when properly constructed1 however1 they are seldom broken1 but are sometimes bent when the engine escapes from the rails4 ,the proper motion to admit and withdraw the steam from ,pg#cgg either end of the cylinder is imparted to the slide-valves by eccentrics1 in a manner and on a principle so similar to that already described in large stationary engines1 that it will not be necessary here to enter into any detailed explanation of the apparatus for communicating this motion1 which is exhibited in plan and section in figs4 #ig4 #ii4 ,the eccentrics are attached to the cranked axles at ,e ,e4 ,the eccentric ,e imparts motion by a rod e to a lever h1 formed on an axle extending across the frame of the engine4 ,this conveys motion to another lever l1 projecting from the same axle4 ,this lever l is jointed to horizontal links m1 which at the foremost ends are attached to the spindle l1 by which the slide is driven4 ,by these means the motion received by the eccentric from the great working axle conveys to the spindle l an alternate movement backwards and forwards1 and the points at which it is reversed will be regulated by the position given to the eccentric upon the great axle4 ,the eccentric is formed in two separate semicircles1 and is keyed on to the great axle1 and consequently any position may be given to it which may be required4 ,the position to be given to the eccentrics should be such that they shall be at right angles to their respective cranks1 and they should be fixed a quarter of a revolution behind the cranks so as to move the slides to that extent in advance of the pistons1 since by the position of the levers h and l1 the motion of the eccentric becomes reversed before it reaches the valve spindle4 ,the performance of the engine is materially affected by the position of the eccentrics on the working axle4 ,the slide should begin to uncover the steam-port a little before the commencement of the stroke of the piston1 in order that the steam impelling the piston should be shut off1 and the steam about to impel it in the contrary direction admitted before the termination of the stroke4 ,through this small space the steam1 therefore1 must act in opposition to the motion of the piston4 ,this is called the lead of the slide1 and the extent generally given to it is about a quarter of an inch4 ,this is accomplished by fixing the eccentrics not precisely at right angles to the respective cranks1 but a little in advance of that position4 ,the introduction of the steam to ,pg#cgh the piston before the termination of the stroke has the effect of bringing it gradually to rest at the end of the stroke1 and thereby diminishing the jerk or shock produced by the rapid change of motion4 ,in stationary engines1 where the reciprocations of the engine are slow1 the necessity for this provision does not arise2 but in locomotive engines in which the motion of the piston is changed from four to six times in a second1 it becomes necessary4 ,the steam admitted to the piston before the termination of the stroke acts as a spring-cushion to assist in changing its motion1 and if it were not applied1 the piston could not be kept tight upon the piston-rod4 ,another advantage which is produced by allowing some lead to the slide is that the waste steam which has just impelled the piston begins to make its escape through the waste-port before the commencement of the next stroke1 so that when the impelling steam begins to produce the returning stroke1 there is less waste steam on the other side of the piston to resist it4 ,when the motion of the engine is very rapid1 the resistance of the waste steam1 as it escapes from the blast-pipe to the piston1 has been generally supposed to be very considerable1 though we are not aware of any direct experiments by which its amount has been ascertained4 ,in the account of the locomotive engine which has been here described1 supplied by ,mr4 ,stephenson for the last edition of ,tredgold on the ,steam ,engine1 he states1 that the average resisting pressure of the waste steam throughout the stroke is #f lbs4 per square inch1 when running at the usual rate of from #be to #bh miles an hour1 and that at greater velocities this negative pressure has been found to increase to more than double that amount4 ,no experiments are1 however1 cited from which this inference has been drawn4 ,it has been also thought that the pressure of steam upon the piston in the cylinder1 at high velocities1 is considerably below the pressure of steam in the boiler2 but this has not been1 so far as we are informed1 ascertained by any satisfactory experimental test4 ,mr4 ,stephenson likewise states1 that this loss of pressure1 causes the negative pressure or resistance of the waste steam to amount to ,pg#cgi from #cj to #dj per cent4 of the positive pressure upon the piston when the engine is running very fast1 and that therefore the power of the engine is diminished nearly one half4 ,but it will be perceived that besides the uncertainty which attends the estimate of the actual amount of pressure on the piston compared with the pressure of steam in the boiler1 the inference here drawn does not appear to be compatible with what has been already proved respecting the mechanical effect of steam4 ,no change of pressure which may take place between the boiler and the cylinder can affect the practical efficacy of the steam4 ,as the steam passes through the engine1 whatever change of pressure it may be subject to1 it still remains common steam2 and though its pressure may be diminished1 its volume being increased in a nearly equal proportion1 its mechanical effect will remain the same4 ,the power of the engine1 therefore1 estimated as it ought to be1 by the whole mechanical effect produced1 will not be altered otherwise than by the effect of the increased resistance produced by the blast-pipe4 ,what that resistance is1 we repeat1 has not1 so far as we know1 been ascertained by direct experiment1 and there are circumstances attending it which render it probable that1 even at high velocities1 it is less in amount than ,mr4 ,stephenson's estimate4 ,the position of the eccentrics which is necessary to make the pistons drive the engine forward must be directly the reverse of that which would cause them to drive the engine backwards4 ,to be able1 therefore1 to reverse the motion of the engine1 it would only be necessary to be able to reverse the position of the eccentrics1 which may be accomplished by either of two expedients4 ,first1 ,the eccentrics may be capable of revolving on the great working axle1 and also of sliding upon it through a small space4 ,their revolution on the axle may be checked by letting a pin attached to a collar fastened on the axle fall into a hole on the side of the eccentric4 ,such a pin will drive the eccentric round with the axle1 and the position of this pin and the hole will determine the position of the eccentric with reference to the crank4 ,at a short distance ,pg#chj on the other side of the eccentric may be a corresponding collar with a pin in the opposite position4 ,by moving the eccentric longitudinally on the axle1 the former pin may be withdrawn from the hole1 and the latter allowed to fall into the hole on the other side4 ,proper mechanism may be provided by which the position of the eccentric may thus be reversed in reference to the crank1 and by such means the motion of the engine may be reversed4 ,secondly1 ,supposing the eccentrics which drive the engine forward to be immovably fixed upon the axle1 two other eccentrics may be provided attached to other parts of the same axle1 and having a position exactly the reverse with reference to the cranks4 ,proper mechanism may be provided1 by which either or both pairs of eccentrics may be thrown in or out of gear4 ,such are the means adopted in the engine which has been already described4 ,the eccentrics for driving the engine backwards are placed outside the cranks at ,f ,f4 ,a hand lever w fig4 #aja4 is provided1 by which the engine man may throw either pair of eccentrics into or out of gear1 so as to make the engine work either backwards or forwards4 ,illustration3 #ajh4 ,illustration3 #aji4 ,illustration3 #aaj4 ,as all the moving parts of the engine require to be constantly lubricated with oil to diminish the friction1 and keep them cool1 oil-cups for this purpose are fixed upon them4 ,in some engines these oil-cups are attached separately to all the moving parts3 in others they are placed near each other in a row on the boiler1 and communicate by small tubes with the several parts required to be lubricated4 ,one of these is requisite for each end of the connecting rods1 for each of the guides of the piston-rods1 for the piston-rod itself1 the spindle of the slide-valve1 and other parts4 ,an elevation of one of these oil-cups is shown in fig4 #ajh41 a vertical section in fig4 #aji41 and horizontal plan in fig4 #aaj4 ,the cup ,a is made of brass with a cover ,b4 ,this cover has a piece projecting from it turning upon a pin in a socket ,c at the side of the cup ,a1 and square at the end1 resting upon a small spring at the bottom of the socket to hold it either open or shut4 ,in the bottom of the ,pg#cha cup is inserted an iron tube ,d extending nearly to the top4 ,this tube projects from the bottom of the cup1 where it is tapped for the purpose of fixing the cup on the part of the engine which it is intended to lubricate4 ,the hole into which the cup is screwed communicates with the rubbing surface1 and some cotton thread is passed through the tube dipping into the oil in the cup at the one end and touching the moving part at the other4 ,this thread acts as a siphon1 and constantly drops oil on the rubbing surface4 ,illustration3 ,fig4 #aaa4 ,the tender is a carriage attached behind the engine and close to it1 carrying coke for the supply of the furnace1 and water for the boiler4 ,the coke is contained in the space ,r1 7fig4 #ih4 #ajj47 surrounded by a tank ,i containing water to feed the boiler4 ,the feed for the boiler is conducted from the tank through a pipe descending downwards and in a curved direction1 ,p ,q1 fig4 #ih41 and connected with a horizontal pipe ,k1 fig4 #ig4 ,a cock is provided at ,p1 by which the supply of water to this pipe may be cut off at pleasure4 ,another cock is provided at t1 fig4 #ig41 where the curved pipe joins the horizontal pipe by which the quantity of water supplied to ,k may be regulated by opening the cock more or less fully4 ,the handle of this cock rises through the floor of the engine1 so that the engineer may regulate it at discretion4 ,the pipe ,k being conducted under the engine1 as represented in fig4 #ig41 terminates in a vertical pipe1 of greater diameter1 containing two valves1 both of which open upwards1 and between these valves to this vertical pipe is attached a force-pump1 by which the water is drawn from the horizontal pipe ,k into the vertical pipe ,k1 and from the latter is driven into a delivery-pipe by which it is forced into the boiler4 ,the details of the interior of this feed-pump are represented on a larger scale in fig4 #aaa4 ,the extremity of the horizontal pipe ,k is represented in section at ,h1 where it is joined on by a screw to the bottom of the vertical pipe which is represented in fig4 #ig4 at ,k1 and which is here represented in section4 ,the vertical pipe1 represented in fig4 #ig4 consists of several parts screwed together by nuts and bolts passing through flanges4 ,the lowest piece ,i is attached by a flange to the piece ,l3 within these is contained the valve ,q resting in a seat made conical1 so that the ball ,pg#chb which forms the valve shall rest in water-tight contact with it4 ,the ball is turned and ground to an accurate sphere1 and whatever position it assumes upon its seat its contact will be perfect4 ,it is guided in its upward and downward motion by several vertical bars which confine it1 and which are united at the top1 so as to limit the upward motion of the ball4 ,a screw ,v is inserted in the bottom of the piece ,i1 by removing which access can be obtained to the valve4 ,the piece ,l is secured to the short pipe ,g by nuts and bolts passed through a flange4 ,the pipe ,g is cast upon the end of the feed-pump ,a4 ,on the foremost end of this feed-pump is constructed a stuffing-box ,c of the usual form1 having a gland ,d forced against packing by nuts and screws ,e4 ,the plunger ,b is turned so as to be truly cylindrical1 and moves in water-tight contact through the gland ,d4 ,the plunger not being in contact with the inner surface of the pump-barrel ,a1 the latter need not be ground4 ,the horizontal rod by which the plunger ,b is driven is attached at its foremost extremity to an arm which projects from the rod of the steam-piston1 and consequently this plunger is moved through a space equal to the stroke of the steam-piston4 ,in this case that space is eighteen inches4 ,the ,pg#chc upper end of the vertical tube ,g is attached by screws and a flange to a piece ,p containing a valve ,r similar in all respects to the lower valve ,q1 and like it opening upwards4 ,a screw ,v is introduced at the top by which access may be obtained to this valve4 ,this screw also presses on the crown of the guides of the valve1 so as to hold it down by regulated pressure4 ,at the side of this upper piece ,p is inserted a horizontal tube ,m connected with the end of the delivery-pipe ,n4 ,this latter is continued to the boiler with which it communicates at the fire-box4 ,when the plunger ,b is drawn out of the pump-barrel ,a1 the spherical valve ,q being relieved from its downward pressure is raised1 and water passes from the pipe ,h through the valve ,q into the vertical pipe ,g2 the lower valve ,q then closes and stops the return of the water4 ,the plunger ,b returning into the pump-barrel ,a then forces the water against the upper valve ,r and drives it through the delivery-tube ,n1 from which its return is prevented by the valve ,r4 ,when the delivery-tube ,n is filled with water throughout its whole length1 every stroke of the plunger will evidently drive into the boiler a volume of water equal to the magnitude of a part of the plunger eighteen inches in length4 ,until within the last few years1 locomotive engines were supported on only four wheels2 they are1 however1 now almost universally supported on six1 the driving wheels being in the middle4 ,to give greater security to the position of the engine between the rails it is usual to construct flanges on the tires of all the six wheels4 ,mr4 ,stephenson1 however1 has been in the practice of constructing the driving wheels without flanges1 and with tires truly cylindrical1 depending on the flanges of the two pairs of smaller wheels to maintain the engine between the rails4 ,the wheels of the engine here described are constructed in this manner4 ,the driving wheels ,d are fixed on the cranked axle ,c1 and are five feet in diameter4 ,the other wheels ,l ,m1 the one being placed immediately behind the smoke-box1 and the other immediately behind the fire-box1 are each three feet six inches in diameter1 and have a flange upon their tires1 which running on the ,pg#chd inside of each rail keeps the engine between the rails4 ,each pair of these small wheels1 like the driving-wheels1 is fixed upon their axle4 ,the axles are #c-e_/h inches diameter1 and project beyond the wheels1 the projecting part supporting the frame of the engine and turning in brasses4 ,upon these brasses rest springs1 which bear the whole weight of the engine4 ,these springs having nothing between them and the road but the wheels and axles intercept and equalise the sudden shocks produced by the rapid motion upon the road4 ,when an engine is required for the transport of very heavy loads1 such as those of merchandise1 the adhesion of one pair of working wheels is found to be insufficient1 and1 in such cases1 one of the two pairs of wheels ,l ,m is made of the same diameter as the wheels which are placed upon the working axle1 and a bar is attached to points on the outside of the wheels at equal distances from their centre1 connecting them in such a manner that any force applied to make one pair of wheels revolve must necessarily impart the same motion to the other pair4 ,by such means the force of the steam is made to drive both pairs of wheels1 and consequently a proportionally increased adhesion is obtained4 ,the velocity which an engine is capable of imparting to the load which it draws depends upon the rate at which the pistons are capable of being moved in the cylinders4 ,by every motion of each piston backwards and forwards one revolution of the driving wheels is produced1 and by each revolution of the driving wheels1 supposing them not to slip upon the rails1 the load is driven through a distance upon the road equal to their circumference4 ,as the two cylinders work together1 it follows1 that a quantity of steam sufficient to fill four cylinders supplied by the boiler to the engine will move the train through a distance equal to the circumference of the driving wheels2 and in accomplishing this1 each piston must move twice from end to end of the cylinder2 each cylinder must be twice filled with steam from the boiler2 and that steam must be twice discharged from the cylinder through the blast-pipe into the chimney4 ,pg#dja ,if the driving wheels be five feet in diameter their circumference will be fifteen feet seven inches4 ,to drive a train with a velocity of thirty miles an hour1 it will be necessary that the engine should be propelled through a space of forty-five feet per second4 ,to accomplish this with five-feet wheels they must be therefore made to revolve at the rate of very nearly three revolutions per second2 and as each revolution requires two motions of the piston in the cylinder1 it follows that each piston must move three times forwards and three times backwards in the cylinder in a second2 that steam must be admitted six times per second from the steam-chest to each cylinder1 and discharged six times per second from each cylinder into the blast-pipe4 ,the motion1 therefore1 of each piston1 supposing it to be uniform1 must divide a second into six equal parts1 and the puffs of the blast-pipe in the chimney must divide a second into twelve equal parts4 ,the motion of the slides and other reciprocating parts of the machinery must consequently correspond4 ,this motion of the reciprocating parts of the machinery being found to be injurious to it1 and to produce very rapid wear1 attempts have been made to remedy the defect1 and to obtain greater speed with an equal or diminished rate of motion of the piston1 by the adoption of driving wheels of greater diameter1 and on several of the great lines of railway the magnitude of the wheels for the passenger-engines have been increased to five feet and a half and six feet diameter2 but such engines have not been sufficiently long in use to afford grounds for forming a practical estimate of their effects4 ,experiments of a much bolder description have1 however1 been tried on one of the great lines of railway by the adoption of driving wheels of much greater diameter4 ,in some cases their magnitude has been increased even to ten feet2 but from various experiments to which these engines have been submitted by myself and others1 as well as from the experience which appears to be obtained from the results of their ordinary work1 it does not appear that any advantages have attended them1 and they have been accordingly for the most part abandoned4 ,the pressure of steam in the boiler is limited by two safety-valves1 ,pg#djb represented in fig4 #ig4 at ,n and ,o4 ,the valve at ,n is under the control of the engineer1 but the valve at ,o is inaccessible to him4 ,the structure of the safety-vale represented at ,n is exhibited on a larger scale in fig4 #aab41 which represents its section1 and fig4 #aac41 which shows a plan of the valve-seat with the valve removed4 ,the valve ,a1 which is made of brass1 is mitred round the edge at an angle of #de1 and has a spindle1 or stalk ,b1 cast upon it1 projecting downwards from the middle of it4 ,the valve-seat ,c is also made of brass1 and cast with a flange at the bottom to attach it to the boiler4 ,the mitred surface of the valve is ground into the valve-seat1 so as to rest in steam-tight contact with it4 ,across the valve-seat1 which is two and a half inches in diameter1 is cast a thin piece ,d1 seen in plan in fig4 #aac4 and in section in fig4 #aab4 which extends from the top to the bottom1 and has a longitudinal hole through it1 in which the spindle ,b of the valve works3 by this hole it is guided when it rises from its seat4 ,a projection ,e is cast upon the seat of the valve1 in which a standard ,f is inserted4 ,this standard is forked at the top1 and receives the end of a lever ,g1 which turns in it upon a centre4 ,a rod ,h is jointed to this lever by another pin at three inches from the former1 and the lower end of this rod1 ground to a point1 presses upon the centre of the valve ,a4 ,at the other end of the lever1 which is broken off in fig4 #aab41 at a distance of three feet from the centre pin1 inserted in the fork of the pillar ,f1 the rod of a common spring-balance w1 fig4 #aja41 is attached by a finger-nut n4 ,the bottom of this spring-balance is secured on to the fire-box4 ,this balance is screwed up by the finger-nut on the valve-lever until the required pressure on the lever is produced through the medium of the rod ,h1 this pressure being generally fifty pounds per square inch above the atmosphere4 ,when the pressure of the steam in the boiler exceeds this1 the valve ,a is raised from its seat1 and the steam escapes4 ,illustration3 ,fig4 #aab4 ,illustration3 ,fig4 #aac4 ,it is evident that the sliding weight by which the pressure ,pg#djc of the safety-valve is sometimes regulated in stationary engines would not be admissible in a locomotive engine1 since the motion of the engine would constantly jolt it up and down1 and cause the steam to escape4 ,one of the disadvantages attending the use of the spring-valve is that it cannot be opened to let the steam escape without increasing its force1 so that the steam1 when escaping1 must really have a greater pressure than that to which the valve has been previously adjusted4 ,the longer the lever is1 the greater will be this difference of pressure1 inasmuch as a given elevation of the pin governing the rod ,h would cause a proportionally greater motion in that end of the lever attached to the spring4 ,the second safety-valve ,o is enclosed in a case1 so that it is inaccessible1 and its purpose is to limit the power of the engineer to increase the pressure of steam in the boiler4 ,this valve is similar in construction to the former1 but instead of being held down by a lever1 is pressed upon by several small elliptical springs placed one above another over the valve1 and held down by a screw which turns in a frame ,y1 fixed into the valve-seat4 ,by this screw the pressure on the valve can be adjusted to any required degree2 and if the open safety-valve be screwed down to a greater pressure1 the steam will begin to escape from this second valve4 ,also in the case where the boiler produces surplus steam faster than its escape can be effected at the valve ,n1 the pressure will sometimes be increased until the valve ,o is opened1 and its escape will take place from both valves4 ,the whole weight of the engine bears upon those parts of the six axles ,r1 fig4 #ii41 which project beyond the wheels4 ,boxes are formed in which these parts of the axles turn1 and through the medium of which the weight of the engine rests upon them4 ,over these boxes are constructed oil or grease cups1 by means of which the axles are constantly lubricated4 ,it is usual to lubricate the axles of the engine itself with oil3 the axles of the tender1 and other coaches and waggons1 are lubricated with a mixture of oil and tallow4 ,in the middle of the box in which the axle turns1 and between the two oil-cups1 is cast a socket1 in which the end of the spindle on ,pg#djd which the spring presses rests4 ,the springs are composed of a number of steel-plates1 laid1 in the usual manner1 one above the other1 increasing in length upwards4 ,in the engine here described1 the plates forming the springs of the driving wheels are thirteen in number1 each of which is four inches in width1 and #e_/afths of an inch in thickness4 ,the springs upon the other wheels are three inches in width4 ,the springs of the driving wheels are below the axle1 while those of the smaller wheels are above it4 ,buffers ,d are placed behind the tender1 which act upon a spring ,c 7fig4 #ajj471 to break the collision1 when the waggons or carriages strike upon the tender1 and similar buffers are attached to all passenger-coaches4 ,some of these buffers are constructed with a system of springs similar to ,c1 but more elastic1 and combined in greater number under the framing of the carriage1 so that a considerable play is allowed to them4 ,in some cases the rods of the buffers are made to act upon strong spiral springs inserted in the sides of the framing of the carriage4 ,this arrangement gives greater play to the buffers2 and as every coach in a train has several buffers1 the combined effect of these is such1 that a considerable shock given to either end of the train may be rendered harmless by being spent upon the elasticity of these several systems of springs4 ,in order to give notice of the approach of a train1 a steam-whistle ,z1 fig4 #ig4 #aja41 is placed immediately above the fire-box at the back of the engine4 ,this is an apparatus composed of two small hemispheres of brass1 separated one from the other by a small space4 ,steam is made to pass through a hollow space constructed in the lower hemisphere1 and escapes from a very narrow circular opening round the edge of that hemisphere1 rushing up with a force proportionate to its pressure4 ,the edge of the upper hemisphere presented downwards encounters this steam1 and an effect is produced similar to the action of air in organ pipes4 ,a shrill whistle is produced1 which can be heard at a very considerable distance1 and1 differing from all ordinary sounds1 it never fails to give timely notice of the approach of a train4 ,the water tank ,i1 fig4 #ih4 #ajj41 which is constructed on the tender1 is formed of wrought-iron plates #a_/h of an inch thick1 ,pg#dje riveted at the corners by angle iron already described4 ,this tank is #i feet long1 #f-c_/d feet wide1 and #b-a_/d feet deep4 ,the top is covered with a board ,k1 and a raised platform ,n is constructed behind1 divided into three parts1 covered with leads1 which open on hinges4 ,the middle lid covers an opening to the tank by which water is let in3 the lids at either side cover boxes in which are contained the tools necessary to be carried with the engine4 ,the curved pipe ,p1 fig4 #ih41 leading from the bottom of the tank to the pipe ,q1 is of copper4 ,the pipe ,q1 connecting the latter with the feed-pipe ,k1 fig4 #ii41 is sometimes formed of leather or ,india-rubber cloth1 having a spiral spring on the inside to prevent it from collapsing4 ,it is necessary that this pipe ,q should have a power of yielding to a sufficient degree to accommodate itself to the inequalities of motion between the engine and tender4 ,a metal pipe is sometimes used1 supplied with a double ball and socket1 and a telescopic joint1 having sufficient play to allow for the lateral and longitudinal inequalities of motion of the engine and tender4 ,the weight of an engine1 such as that here described1 supplied with its proper quantity of water and fuel1 is about #ab tons3 the tender1 when empty1 weighs about #c-a_/d tons2 and when filled with water and fuel its weight is #g tons4 ,the tank contains #gjj gallons of water1 and the tender is capable of carrying about #hjj weight of coke4 ,this supply is sufficient for a trip of from thirty to forty miles with an ordinary load4 7#aih47 ,it is not usual to express the power of locomotive engines in the same manner as that of other engines by the term horse-power4 ,indeed1 until the actual amount of resistance opposed to these machines1 under the various circumstances in which they are worked1 shall be ascertained with some degree of precision1 it is impossible that their power or efficiency can be estimated with any tolerable degree of approximation4 ,the quantity of water evaporated1 and passed in steam through the cylinders1 supplies a major limit to the power exerted2 but even this necessary element for the calculation of the efficacy of these machines has not been ascertained by a sufficiently extensive course of observation and experiment4 ,mr4 ,stephenson states1 that the engine which ,pg#djf has been here described is capable of evaporating #gg cubic feet of water per hour1 while the early locomotives could only evaporate #af cubic feet per hour4 ,this evaporation1 however1 is inferior to that which ,i have ascertained myself to be produced by engines in regular operation on some of the northern railways4 ,in an experiment made in ,july1 #ahci1 with the ,hecla engine1 ,i found that the evaporation in a trip of ninety-five miles1 from ,liverpool to ,birmingham1 was at the rate of #icb cubic feet per hour1 and in returning the same distance it was at the rate of #heg cubic feet per hour1 giving a mean of #hi cubic feet per hour nearly4 ,the ,hecla weighed #ab tons2 and its dimensions and proportions corresponded very nearly with those of the engine above described4 ,in a course of experiments which ,i made upon the engines then in use on the ,grand ,junction ,railway in the autumn of #ahch ,i found that the ordinary evaporating power of these engines varied from eighty to eighty-five cubic feet per hour4 ,engines of much greater dimensions1 and consequently of greater evaporating power1 are used on the ,great ,western ,railway4 ,in the autumn of #ahch experiments were made upon these engines by ,mr4 ,nicholas ,wood and myself1 when we found that the most powerful engine on that line1 the ,north ,star1 drawing a load of #aaj-a_/b tons gross1 engine and tender inclusive1 at #cj-a_/b miles an hour1 evaporated #bjj cubic feet of water per hour4 ,the same engine drawing a load of #aid-a_/b tons at #ah-a_/b miles an hour evaporated #ada cubic feet per hour1 and when drawing #de tons at #ch-a_/b miles an hour evaporated #aih cubic feet of water per hour4 ,it has been already shown that a cubic foot of water evaporated per hour produces a gross amount of mechanical force very little less than two-horse power1 and consequently the gross amount of mechanical power evolved in these cases by the evaporation of the locomotive boilers will be very nearly twice as many horse-power as there are cubic feet of water evaporated per hour4 ,thus the evaporation of the ,hecla1 in the experiments made in ,july1 #ahci1 gave a gross power of about one hundred and eighty horses1 while the evaporation of the ,north ,star gave a power of about four hundred horses4 ,in stationary engines about half the gross ,pg#djg power evolved in the evaporation is allowed for waste1 friction1 and other sources of resistance not connected with the load4 ,what quantity should be allowed for this in locomotive engines is not yet ascertained1 and therefore it is impossible to state what proportion of the whole evaporation is to be taken as representing the useful horse-power4 7#aii47 ,the great uniformity of resistance produced by the traction of carriages upon a railway is such as to render the application of steam power to that purpose extremely advantageous4 ,so far as this resistance depends on mechanical defects1 it is probably rendered as uniform as is practicable1 and in proportion to the quantity of load carried is reduced to as small an amount as it is likely to attain under any practicable circumstances4 ,until a recent period this resistance was ascribed altogether1 or nearly so1 to mechanical causes4 ,the inequalities of the road-surface1 the friction of the axles of the wheels in their bearings1 and the various sources of resistance due to the machinery of the engine1 being the principal of these resistances1 were for the most part independent of the speed with which the train was moved2 and it was accordingly assumed in all calculations respecting the power of locomotive engines that the resistance would be practically the same whatever might be the speed of the train4 ,it had been well understood that so far as the atmosphere might offer resistance to the moving power this would be dependent on the speed1 and would increase in a very high ratio with the speed2 but it was considered that the part of the resistance due to this cause formed a fraction of the whole amount so insignificant that it might be fairly disregarded in practice1 or considered as a part of the actual computed resistance taken at an average speed4 ,it has been1 until a late period1 accordingly assumed that the total amount of resistance to railway trains which the locomotive engines have had to overcome was about the two hundred and fiftieth part of the gross weight of the load drawn3 some engineers estimated it at a two hundred and twentieth2 others at a two hundred and fiftieth2 others at a three hundred and thirtieth part of the load2 and the two hundred and fiftieth part of the gross load drawn may perhaps be ,pg#djh considered as a mean between these much varying estimates4 ,what the experiments were1 if any1 on which these rough estimates were based1 has never appeared4 ,each engineer formed his own valuation of this effect1 but none produced the experimental grounds of their opinion4 ,it has been said that the trains run down the engine1 or that the drawing chains connecting the engine slacken in descending an inclination of sixteen feet in a mile1 or #a_/ccj4 ,numerous experiments1 however1 made by myself1 as well as the constant experience now daily obtained on railways1 show that this is a fallacious opinion1 except at velocities so low as are never practised on railways4 7#bjj47 ,in the autumn of #ahch a course of experiments was commenced at the suggestion of some of the proprietors of the ,great ,western ,railway ,company1 with a view to determine various points connected with the structure and the working of railways4 ,a part of these experiments were intended to determine the mean amount of the resisting force opposed to the moving power1 and this part was conducted by me4 ,after having tried various expedients for determining the mean amount of resistance to the moving power1 ,i found that no method gave satisfactory results except one founded on observing the motion of trains by gravity down steep inclined planes4 ,when a train of waggons or coaches is placed upon an inclined plane so steep that it shall descend by its gravity without any moving power1 its motion1 when it proceeds from a state of rest1 will be gradually accelerated1 and if the resistance to that motion was1 as it has been commonly supposed to be1 uniform and independent of the speed1 the descent would be uniformly accelerated3 in other words1 the increase of speed would be proportional to the time of the motion4 ,whatever velocity the train would gain in the first minute1 it would acquire twice that velocity at the end of the second minute1 three times that velocity at the end of the third minute1 and so on2 and this increase of velocity would continue to follow the same law1 however extended the plane might be4 ,that such would be the law which the descending motion of a train would follow had always been supposed1 up to the time of the experiments now referred to2 and it was even maintained by some that ,pg#dji such a law was in strict conformity with experiments made upon railways and duly reported4 ,the first experiments instituted by me at the time just referred to afforded a complete refutation of this doctrine4 ,it was found that the acceleration was not uniform1 but that with every increase of speed the acceleration was lessened4 ,thus if a certain speed were gained by a train in one second when moving at five miles an hour1 a much less speed was gained in one second when moving ten miles an hour1 and a comparatively small speed was gained in the same time when moving at fifteen miles an hour1 and so on4 ,in fact1 the augmentation of the rate of acceleration appeared to diminish in a very rapid proportion as the speed increased3 this suggested to me the probability that a sufficiently great increase of speed would destroy all acceleration1 and that the train would at length move at a uniform velocity4 ,in effect1 since the moving power which impels a train down an inclined plane of uniform inclination is that fraction of the gross weight of the train which acts in the direction of the plane1 this moving power must be necessarily invariable2 and as any acceleration which is produced must arise from the excess of this moving power over the resistance opposed to the motion of the train1 from whatever causes that resistance may arise1 whenever acceleration ceases1 the moving force must necessarily be equal to the resistance2 and therefore1 when a train descends an inclined plane with a uniform velocity1 the gross resistance to the motion of the train must be equal to the gross weight of the train resolved in the direction of the plane2 or1 in other words1 it must be equal to that fraction of the whole weight of the train which is expressed by the inclination of the plane4 ,thus if it be supposed that the plane falls at the rate of one foot in one hundred1 then the force impelling the train downwards will be equal to the hundredth part of the weight of the train4 ,so long as the resistance to the motion of the train continues to be less than the hundredth part of its weight1 so long will the motion of the train be accelerated2 and the more the hundredth part of the weight exceeds the resistance1 the more rapid will the acceleration be2 and the less the hundredth part of the weight ,pg#daj exceeds the resistance1 the less rapid will the acceleration be4 ,if it be true that the amount of resistance increases with the increase of speed1 then a speed may at length be attained so great that the amount of resistance to the motion of the train will be equal to the hundredth part of the weight4 ,when that happens1 the moving power of a hundredth part of the weight of the train being exactly equal to the resistance to the motion1 there is no excess of power to produce acceleration1 and therefore the motion of the train will be uniform4 ,founded on these principles1 a vast number of experiments were made on planes of different inclinations1 and with loads of various magnitudes2 and it was found1 in general1 that when a train descended an inclined plane1 the rate of acceleration gradually diminished1 and at length became uniform2 that the uniform speed thus attained depended on the weight1 form1 and magnitude of the train and the inclination of the plane2 that the same train on different inclined planes attained different uniform speeds--on the steeper planes a greater speed being attained4 ,from such experiments it followed1 contrary to all that had been previously supposed1 that the amount of resistance to railway trains had a dependence on the speed2 that this dependence was of great practical importance1 the resistance being subject to very considerable variation at different speeds1 and that this source of resistance arises from the atmosphere which the train encounters4 ,this was rendered obvious by the different amount of resistance to the motion of a train of coaches and to that of a train of low waggons of equal weight4 ,the former editions of this work having been published before the discovery which has resulted from these experiments1 the average amount of resistance to railway trains1 there stated1 and the conclusions deduced therefrom1 were in conformity with what was then known4 ,it was stated that the resistance to the moving power was practically independent of the speed1 and on level rails was at the average rate of about seven pounds and a half per ton4 ,this amount would be equivalent to the gravitation of a load down an inclined plane falling #a_/cjj1 and consequently in ascending such a plane the moving power would have to encounter twice ,pg#daa the resistance opposed to it on a level4 ,as it was generally assumed that a locomotive-engine could not advantageously vary its tractive power beyond this limit1 it was therefore inferred that gradients 7as inclinations are called7 ought not to be constructed of greater steepness than #a_/cjj4 ,it was supposed that in descending gradients more steep than this the train would be accelerated and would require the use of the brake to check its motion1 while in ascending such planes the engine would be required to exert more than twice the ordinary tractive power required on level rails4 ,as the resistance produced by the air was not taken into consideration1 no distinction was made between heavy trains of goods presenting a frontage and magnitude bearing a small proportion to their gross weight and lighter trains of passenger-coaches presenting great frontage and great magnitude in proportion to their weight4 ,the result of the experiments above explained leads to inferences altogether at variance with those which have been given in former editions of the present work1 and which were then universally admitted by railway engineers4 ,the tendency of the results of these experiments show that low gradients on railways are not attended with the advantageous effects which have been hitherto ascribed to them2 that1 on the contrary1 the resistance produced by steeper gradients can be compensated by slackening the speed1 so that the power shall be relieved from as much atmospheric resistance by the diminution of velocity as is equal to the increased resistance produced by the gravity of the plane which is ascended4 ,and1 on the other hand1 in descending the plane the speed may be increased until the resistance produced by the atmosphere is increased to the same amount as that by which the train is relieved of resistance by the declivity down which it moves4 ,thus1 on gradients1 the inclination of which is confined within practical limits1 the resistance to the moving-power may be preserved uniform1 or nearly so1 by varying the velocity4 7#bja47 ,the series of experiments which have established these general conclusions have not yet been sufficiently extended and varied to supply a correct practical estimate of the limit which it would be most advantageous to impose upon the ,pg#dab gradients of railways2 but it is certain that railways may be laid down1 without practical disadvantage1 with gradients considerably steeper than those to which it has been hitherto the practice to recommend as a limit4 ,the principle of compensation by varied speed being admitted1 it will follow that the time of transit between terminus and terminus of a line of railway laid down with gradients1 varying from twenty to thirty feet a mile1 will be practically the same as it would be on a line of the same length constructed upon a dead level2 and not only will the time of transport be equal1 but the quantity of moving power expended will not be materially different4 ,the difference between the circumstances of the transport in the two cases will be merely that1 on the undulating line1 a varying velocity will be imparted to the train and a varying resistance opposed to the moving power2 while on the level line the train would be moved at a uniform speed1 and the engine worked against a uniform resistance4 ,these conclusions have been abundantly confirmed by the experiments made in last ,july with the ,hecla engine above referred to4 ,the line of railway between ,liverpool and ,birmingham on which the experiment was made extended over a distance of ninety-five miles1 and the gradients on which the effects were observed varied from a level to thirty feet per mile1 a great portion of the line being a dead level4 ,the following table shows the uniform speed with which the train ascended and descended the several gradients1 and also the mean of the ascent and descent in each case1 as well as the speed upon the level parts of the line3-- ---------------------------------------- ---------------------------------------- -------------------- ,speed4 ---------------------------------------- --------------------------------------- ,gradient4 ,ascending4 ,descending4 ,mean4 ---------------------------------------- ---------------------------------------- -------------------- ,one in ,miles per hour4,miles per hour4 #agg #bbbe #dacb #cagh #bfe #bdhg #ciac #cbjj #ccj #bebf #cgjg #caaf #djj #bfhg #cfge #caha #ecb #bgce #cdcj #cjhb #eij #bgcg #ccaf #cjba #fej #bijc #cbeh #cjhj ---------------- ,level #cjic ---------------------------------------- ---------------------------------------- -------------------- ,pg#dac ,from this table it is apparent that the gradients do possess the compensating power with respect to speed already mentioned4 ,the discrepancies existing among the mean values of the speed are only what may be fairly ascribed to casual variations in the moving power4 ,the experiment was made under favourable circumstances3 little disturbance was produced from the atmosphere2 the day was quite calm4 ,in the same experiment it was found that the water evaporated varied very nearly in proportion to the varying resistance1 and the amount of that evaporation may be taken as affording an approximation to the mean amount of resistance4 ,taking the trip to and from ,birmingham over the distance of #aij miles1 the mean evaporation per mile was #ccf cubic feet of water4 ,the volume of steam produced by this quantity of water will be determined approximately by calculating the number of revolutions of the driving wheels necessary to move the engine one mile4 ,the driving wheels being #e feet in diameter1 their circumference was #aeg feet1 and consequently in passing over a mile they would have revolved #ccfc times4 ,since each revolution consumes four cylinders full of steam1 the quantity of steam supplied by the boiler to the cylinders per mile will be found by multiplying the contents of the cylinder by four times #ccfc1 or #acdeb4 ,the cylinders of the ,hecla were #ab-a_/b inches diameter1 and #ah inches in length1 and consequently their contents were #abh cubic feet for each cylinder3 this being multiplied by #acdeb gives #agbahf or #agbb cubic feet of steam per mile4 ,it appears1 therefore1 that supposing the priming either nothing or insignificant1 which was considered to be the case in these experiments1 #ccf cubic feet of water produced #agbb cubic feet of steam1 of the density worked in the cylinders4 ,the ratio1 therefore1 of the volume of this steam to that of the water producing it1 was #agbb to #ccf1 or #eabe to #a4 ,the pressure of steam of this density would be #ede pounds per square inch4#cd ,such1 therefore1 was the limit of the average total pressure of the steam in the cylinders4 ,in this experiment the safety-valve of the boiler was screwed down to #fj pounds per square ,pg#dad inch above the atmospheric pressure1 which was therefore the major limit of the pressure of steam in the boiler2 but as the actual pressure in the boiler must have been less than this amount1 the difference between the pressure in the cylinder and boiler could not be ascertained4 ,this difference1 however1 would produce no effect on the moving power of the steam1 since the pressure of steam in the cylinders obtained by the above calculation is quite independent of the pressure in the boiler1 or of any source of error except what might arise from priming4 ,the pressure of #ede pounds per square inch1 calculated above1 being the total pressure of the steam on the pistons1 let #ade pounds be deducted from it1 to represent the atmospheric pressure against which the piston must act1 and the remaining #dj pounds per square inch will represent the whole available force drawing the train and overcoming all the resistances arising from the machinery of the engine1 including that of the blast-pipe4 ,the magnitude of a #ab-a_/b inch piston being #abbg square inches1 the total area of the two pistons would be #bdeb square inches1 and the pressure upon each of #dj pounds per inch would give a total force of #ihaf on the two pistons4 ,since this force must act through a space of three feet1 while the train is impelled through a space of #aeg feet1 it must be reduced in the proportion of #c to #aeg1 to obtain its effect at the point of contact of the wheels upon the rails3 this will give #ahge pounds as the total force exerted in the direction of the motion of the train4 ,the gross weight of the train being #hj tons1 including the engine and tender1 this would give a gross moving force along the road of about #bcd pounds per ton of the gross load1 this force being understood to include all the resistances due to the engine4 ,this resistance corresponds to the gravitation of a plane rising at the rate of #a_/ie1 and therefore it appears that such would be the inclination of the plane by the gravitation of which the gross resistance would be doubled1 instead of such inclination being about #a_/cjj1 as has been hitherto supposed4 ,since the remarkable and unexpected results of this series of experiments became known various circumstances were brought to light1 which were before unnoticed1 and which ,pg#dae abundantly confirm them4 ,among these may be mentioned the fact1 that in descending the ,madeley plane1 on the ,grand ,junction ,railway1 which falls for above three miles at the rate of twenty-nine feet a mile1 the steam can never be entirely cut off4 ,but1 on the other hand1 to maintain the necessary speed in descending1 the power of the engine is always necessary4 ,as this plane greatly exceeds that which would be sufficient to cause the free motion of the train down it1 the power of the engine expended in descending it1 besides all that part of the gravitating power of the plane which exceeds the resistance due to friction and other mechanical causes must be worked against the atmosphere4 ,this estimate of the resistance is also in conformity with the results of a variety of experiments made by me with trains of different magnitudes down inclined planes of various inclinations4 7#bjb47 ,in laying out a line of railway the disposition of the gradients should be such as to preserve among them as uniform a character as is practicable1 for the weight and power of the engine must necessarily be regulated by the general steepness of the gradients4 ,thus if upon a railway which is generally level1 like that between ,liverpool and ,manchester1 one or two inclined planes of a very steep character occur1 as happens upon that line1 then the engine which is constructed to work upon the general gradients of the road is unfit to draw the same load up those inclinations which form an exception to the general character of the gradients4 ,in such cases some extraordinary means must generally be provided for surmounting those exceptionable inclinations4 ,several expedients have been proposed for this purpose1 among which the following may be mentioned3-- #a4 ,upon arriving at the foot of the plane the load is divided1 and the engine carries it up in several successive trips1 descending the plane unloaded after each trip4 ,the objection to this method is the delay which it occasions--a circumstance which is incompatible with a large transport of passengers4 ,from what has been stated1 it would be necessary1 when the engine is fully loaded on a level1 to divide its load into two or more parts1 to be successively ,pg#daf carried up when the incline rises #eb feet per mile4 ,this method has been practised in the transport of merchandise occasionally1 when heavy loads were carried on the ,liverpool and ,manchester line1 upon the ,rainhill incline4 #b4 ,a subsidiary or assistant locomotive engine may be kept in constant readiness at the foot of each incline1 for the purpose of aiding the different trains1 as they arrive1 in ascending4 ,the objection to this method is the cost of keeping such an engine with its boiler continually prepared1 and its steam up4 ,it is necessary to keep its fire continually lighted1 whether employed or not2 otherwise1 when the train would arrive at the foot of the incline1 it should wait until the subsidiary engine was prepared for work4 ,in cases where trains would start and arrive at stated times1 this objection1 however1 would have less force4 ,this method is at present generally adopted on the ,liverpool and ,manchester line4 #c4 ,a fixed steam-engine may be erected on the crest of the incline1 so as to communicate by ropes with the train at the foot4 ,such an engine would be capable of drawing up one or two trains together1 with their locomotives1 according as they would arrive1 and no delay need be occasioned4 ,this method requires that the fixed engine should be kept constantly prepared for work1 and the steam continually up in the boiler4 #d4 ,in working on the level1 the communication between the boiler and the cylinder in the locomotives may be so restrained by partially closing the throttle-valve1 as to cause the pressure upon the piston to be less in a considerable degree than the pressure of steam in the boiler4 ,if under such circumstances a sufficient pressure upon the piston can be obtained to draw the load on the level1 the throttle-valve may be opened on approaching the inclined plane1 so as to throw on the piston a pressure increased in the same proportion as the previous pressure in the boiler was greater than that upon the piston4 ,if the fire be sufficiently active to keep up the supply of steam in this manner during the ascent1 and if the rise be not greater in proportion than the power thus obtained1 the locomotive will draw the load up the incline without further assistance4 ,it is1 however1 to be observed1 that in this case ,pg#dag the load upon the engine must be less than the amount which the adhesion of its working wheels with the railroad is capable of drawing2 for this adhesion must be adequate to the traction of the same load up the incline1 otherwise1 whatever increase of power might be obtained by opening the throttle-valve1 the drawing wheels would revolve without causing the load to advance4 ,this method has been generally practised upon the ,liverpool and ,manchester line in the transport of passengers2 and1 indeed1 it is the only method yet discovered which is consistent with the expedition necessary for that species of traffic4 ,in the practice of this method considerable aid may be derived also by suspending the supply of feeding water to the boiler during the ascent4 ,it will be recollected that a reservoir of cold water is placed in the tender which follows the engine1 and that the water is driven from this reservoir into the boiler by a forcing pump1 which is worked by the engine itself4 ,this pump is so constructed that it will supply as much cold water as is equal to the evaporation1 so as to maintain constantly the same quantity of water in the boiler4 ,but it is evident1 on the other hand1 that the supply of this water has a tendency to check the rate of evaporation1 since in being raised to the temperature of the water with which it mixes it must absorb a considerable portion of the heat supplied by the fire4 ,with a view to accelerate the production of steam1 therefore1 in ascending the inclines1 the engine man may suspend the action of the forcing pump1 and thereby stop the supply of cold water to the boiler2 the evaporation will go on with increased rapidity1 and the exhaustion of water produced by it will be repaid by the forcing pump on the next level1 or still more effectually on the next descending incline4 ,indeed the feeding pump may be made to act in descending an incline1 if necessary1 when the action of the engine itself is suspended1 and when the train descends by its own gravity1 in which case it will perform the part of a brake upon the descending train4 #e4 ,the mechanical connexion between the piston of the cylinder and the points of contact of the working wheels with the road may be so altered1 upon arriving at the incline1 as to ,pg#dah give the piston a greater power over the working wheels4 ,this may be done in an infinite variety of ways1 but hitherto no method has been suggested sufficiently simple to be applicable in practice2 and even were any means suggested which would accomplish this1 unless the intensity of the impelling power were at the same time increased1 it would necessarily follow that the speed of the motion would be diminished in exactly the same proportion as the power of the piston over the working wheels would be increased4 ,thus1 on the inclined plane1 which rises fifty-five feet per mile1 upon the ,liverpool line1 the speed would be diminished to nearly one fourth of its amount upon the level4 ,illustration ,,footnotes3 #cj ,some of the preceding observations on inland transport1 as well as other parts of the present chapter1 appeared in articles written by me in the ,edinburgh ,review for ,october1 #ahcb1 and ,october1 #ahcd4 #ca ,wood on ,railroads1 #b;d edit4 #cb ,the cost of coke has risen considerably since the date of this report4 #cc ,i am indebted to the enlarged edition of ,tredgold on the ,steam ,engine1 published by ,mr4 ,weale1 for the drawings of this engine4 ,the details of the machine are very fully given in that work1 the description of them being supplied by ,mr4 ,stephenson himself4 #cd ,see ,table of ,pressures1 ,temperatures1 and ,volumes1 in appendix4 ,pg#dai ,illustration ,,chap4 ,,xii4 ,,locomotive ,,engines ,,on ,,turnpike ,,roads4 ,,railways ,,and ,,stone ,,roads ,,compared4 -- ,,mr4 ,,gurney',s ,,steam ,,engine4 -- ,,convenience ,,and ,,safety ,,of ,,steam ,,carriages4 -- ,,hancock',s ,,steam ,,engine4 -- ,,ogle',s ,,steam ,,engine4 -- ,,trevethick',s ,,invention4 -- ,,dr4 ,,church',s ,,steam ,,engine4 7#bjc47 ,we have hitherto confined our observations on steam-power1 as a means of transport by land1 to its application on railways4 ,but modern speculation has not stopped there2 various attempts have been made1 and attended with more or less success1 to work steam-carriages on common roads4 ,the mere practicability of this project had long been regarded as very questionable2 but enough has been done to show that the only doubt which can attend it1 is as to whether it can be profitably resorted to1 as a means of transport1 and this question ,pg#dbj has been materially affected by the recent extension of railways4 ,in comparing the effect of a stone road with an iron railway1 there are two circumstances which give great superiority and advantage to the latter3 first1 the resistance opposed by a railway to the moving power1 no matter what that moving power may be1 is considerably less in proportion to the load than on a stone road4 ,the average resistance on a good level stone road1 to the motion of carriages drawn at the speed usually attained by the application of horse-power1 may be taken at about a thirty-sixth part of the load1 while the resistance to a load drawn upon a railway at the same speed probably does not amount to a tenth part of this resistance4 ,thus the moving power1 whatever it may be1 would produce on a railway ten times the useful effect which it would produce on a stone road2 secondly1 the resistance which is opposed to the moving power on a level railway is much more uniform than on a stone road1 and1 consequently1 the moving power is less subjected to jerks and inequalities4 ,this renders the application of inanimate power more easy on the railway4 ,those inequalities of surface which increase the amount of resistance on stone roads as compared with railways also produce a jolting motion in the carriage1 to counteract which1 the use of springs become necessary4 ,these springs render the motion of that part of the carriage which rests upon them different from that part of the carriage which supports them2 and in the application of steam-machinery it becomes necessary so to connect the moving power with the wheels that the machinery may have one motion1 and the wheels which are put in mechanical connexion with that machinery1 and driven by it1 shall have another motion4 ,this1 it is true1 is the case with locomotive engines on railways2 but owing to the greater smoothness and equality of the railway surface the difference between the motion of the carriage body suspended on springs and that of the wheels is much less than it would be on a stone road4 ,but besides the greater smoothness of railways compared with stone roads1 the latter have another disadvantage1 the effects of which have probably been exaggerated by those who are opposed to this application of steam-power4 ,one of the ,pg#dba laws of adhesion long since developed by experiment1 and established as a principle of practical science1 is that the adhesion is greater between surfaces of the same than between surfaces of a different kind4 ,thus between two metals of the same kind1 the adhesion corresponding to any given pressure is greater than between two metals of different kinds2 between two metals of any sort the adhesion is greater than between metal and stone1 or between metal and wood4 ,hence1 the wheels of steam-carriages running on a railroad have a greater adhesion with the road1 and therefore offer a greater resistance to slip round without the advance of the carriage1 than wheels would offer on a turnpike road2 for on a railroad the iron tire of the wheel rests in contact with the iron rail1 while on a common road the iron tire rests in contact with the surface of stone1 or whatever material the road may be composed of4 ,besides this1 the dust and loose matter which necessarily collect on a common road1 when pressed between the wheels and the solid base of the road1 act somewhat in the manner of rollers1 and give the wheels a greater facility to slip than if the road were swept clean1 and the wheels rested in immediate contact with its hard surface4 ,the truth of this observation is illustrated on the railroads themselves1 where the adhesion is found to be diminished whenever the rails are covered with any extraneous matter1 such as dust or moist clay4 ,although the adhesion of the wheels of a carriage with a common road1 however1 be less than those of the wheels of a steam-carriage with a railroad1 yet still the actual adhesion on turnpike roads is greater in amount than has been generally supposed1 and is quite sufficient to propel carriages drawing after them loads of large amount4 ,the relative facility with which carriages are propelled on railroads and turnpike-roads equally affects any moving power1 whether that of horses or steam engines2 and whether loads be propelled by the one power or the other1 the railroad1 as compared with the turnpike-road1 will always possess the same proportionate advantage2 and a given amount of power1 whether of the one kind or the other1 will always perform a quantity of work less in the same proportion on a ,pg#dbb turnpike-road than on a rail-road4 ,but1 on the other hand1 the expense of original construction1 and of maintaining the repairs of a rail-road1 is to be placed against the certain facility which it offers to draught4 ,in the attempts which have been made to adapt locomotive engines to turnpike-roads1 the projectors have aimed at the accomplishment of two objects3 first1 the construction of lighter and smaller engines2 and1 secondly1 increased power4 ,these ends1 it is plain1 can only be attained1 with our present knowledge1 by the production of steam of very high temperature and pressure1 so that the smallest volume of steam shall produce the greatest possible mechanical effect4 ,the methods of propelling the carriage have been in general similar to that used in the railroad engines1 viz4 either by cranks placed on the axles1 the wheels being fixed upon the same axles1 or by connecting the piston rods with the spokes of the wheels4 ,in some carriages1 the boiler and moving power1 and the body of the carriage which bears the passengers1 are placed on the same wheels4 ,in others1 the engine is placed on a separate carriage1 and draws after it the carriage which transports the passengers1 as is always the case on railways4 ,the chief difference between the steam engines used on railways1 and those adapted to propel carriages on turnpike roads1 is in the structure of the boiler4 ,in the latter it is essential that1 while the power remains undiminished1 the boiler should be lighter and smaller4 ,the accomplishment of this has been attempted by various contrivances for so distributing the water as to expose a considerable quantity of surface in contact with it to the action of the fire3 spreading it in thin layers on flat plates2 inserting it between plates of iron placed at a small distance asunder1 the fire being admitted between the intermediate plates2 dividing it into small tubes1 round which the fire has play2 introducing it between the surfaces of cylinders placed one within another1 the fire being admitted between the alternate cylinders1--have all been resorted to by different projectors4 7#bjd47 ,first and most prominent in the history of the application of steam to the propelling of carriages on turnpike roads stands the name of ,mr4 ,goldsworthy ,gurney1 a medical ,pg#dbc gentleman1 and scientific chemist1 of ,cornwall4 ,in #ahbb1 ,mr4 ,gurney succeeded ,dr4 ,thompson as lecturer on chemistry at the ,surrey ,institution2 and1 in consequence of the results of some experiments on heat1 his attention was directed to the project of working steam-carriages on common roads2 and he subsequently devoted his exertions in perfecting a steam-engine capable of attaining the end he had in view4 ,the mistake which so long prevailed in the application of locomotives on railroads1 and which1 as we have shown1 materially retarded the progress of that invention1 was shared by ,mr4 ,gurney4 ,without reducing the question to the test of experiment1 he took for granted1 in his first attempts1 that the adhesion of the wheels with the road was too slight to propel the carriage4 ,he was assured1 he says1 by eminent engineers1 that this was a point settled by actual experiment4 ,it is strange1 however1 that a person of his quickness and sagacity did not inquire after the particulars of these actual experiments4 ,so1 however1 it was2 and1 taking for granted the inability of the wheels to propel1 he wasted much labour and skill in the contrivance of levers and propellers1 which acted on the ground in a manner somewhat resembling the feet of horses1 to drive the carriage forward4 ,after various fruitless attempts of this kind1 the experience acquired in the trials to which they gave rise at last forced the truth upon his notice1 and he found that the adhesion of the wheels was not only sufficient to propel the carriage heavily laden on level roads1 but was capable of causing it to ascend all the hills which occur on ordinary turnpike-roads4 ,in this manner it ascended all the hills between ,london and ,barnet1 ,london and ,stanmore1 ,stanmore ,hill1 ,brockley ,hill1 and mounted ,old ,highgate ,hill1 the last at one point rising one foot in nine4 ,illustration3 ,fig4 #aad4 ,illustration3 ,fig4 #aae4 ,the boiler of ,mr4 ,gurney's engine is so constructed1 that there is no part of it in which metal exposed to the action of the fire is out of contact with water4 ,if it be considered how rapidly the action of an intense furnace destroys metal when water is not present to prevent the heat from accumulating1 the advantage of this circumstance will be appreciated4 ,in the boiler of ,mr4 ,gurney1 the grate-bars ,pg#dbd themselves are tubes filled with water1 and form1 in fact1 a part of the boiler itself4 ,this boiler consists of three strong metal cylinders placed in a horizontal position one above the other4 ,a section1 made by a perpendicular or vertical plane1 is represented in fig4 #aad4 ,the ends of the three cylinders just mentioned are represented at ,d1 ,h1 and ,i4 ,in the side of the lowest cylinder ,d are inserted a row of tubes1 a ground plan of which is represented in fig4 #aae4 ,these tubes1 proceeding from the side of the lowest cylinder ,d1 are inclined ,pg#dbe slightly upwards1 for a reason which ,i shall presently explain4 ,from the nature of the section1 only one of these tubes is visible in fig4 #aad4 at ,c4 ,the other extremities of these tubes at ,a are connected with the same number of upright tubes1 one of which is shown at ,e4 ,the upper extremities ,g of these upright tubes are connected with another set of tubes ,k1 equal in number1 proceeding from ,g1 inclining slightly upwards1 and terminating in the second cylinder ,h4 ,illustration3 ,fig4 #aaf4 ,an end view of the boiler is exhibited in fig4 #aaf41 where the three cylinders are expressed by the same letters4 ,between the cylinders ,d and ,h there are two tubes of communication ,b1 and two similar tubes between the cylinders ,h and ,i4 ,from the nature of the section these appear only as a single tube in fig4 #aad4 ,from the top of the cylinder ,i proceeds a tube ,n1 by which steam is conducted to the engine4 ,it will be perceived that the space ,f is enclosed on every side by a grating of tubes1 which have free communication with the cylinders ,d and ,h1 which cylinders have also a free communication with each other by the tubes ,b4 ,it follows1 ,pg#dbf therefore1 that if water be supplied to the cylinder ,i1 it will descend through the tubes1 and first filling the cylinder ,d and the tubes ,c1 will gradually rise in the tubes ,b and ,e1 will next fill the tubes ,k and the cylinder ,h4 ,the grating of water-pipes ,c ,e ,k forms the furnace1 the pipes ,c being the fire-bars1 and the pipes ,e and ,k being the back and roof of the stove4 ,the fire-door1 for the supply of fuel1 appears at ,m1 fig4 #aaf4 ,the flue issuing between the tubes ,f is conducted over the tubes ,k1 and the flame and hot air are carried off through a chimney4 ,that portion of the heat of the burning fuel1 which in other furnaces destroys the bars of the grate1 is here expended in heating the water contained in the tubes ,c4 ,the radiant heat of the fire acts upon the tubes ,k1 forming the roof of the furnace1 on the tube ,e at the back of it1 and partially on the cylinders ,d and ,h1 and the tubes ,b4 ,the draft of hot air and flame passing into the flue at ,a acts upon the posterior surfaces of the tubes ,e1 and the upper sides of the tubes ,k1 and finally passes into the chimney4 ,as the water in the tubes ,c ,e ,k is heated1 it becomes specifically lighter than water of a less temperature1 and consequently acquires a tendency to ascend4 ,it passes1 therefore1 rapidly into ,h4 ,meanwhile the colder portions descend1 and the inclined positions of the tubes ,c and ,k give play to this tendency of the heated water1 so that a prodigiously rapid circulation is produced1 when the fire begins to act upon the tubes4 ,when the water acquires such a temperature that steam is rapidly produced1 steam-bubbles are constantly formed in the tubes surrounding the fire2 and if these remained stationary in the tubes1 the action of the fire would not only decompose the steam1 but render the tubes red hot1 the water not passing through them to carry off the heat4 ,but the inclined position of the tubes1 already noticed1 effectually prevents this injurious consequence4 ,a steam-bubble1 which is formed either in the tubes ,c or ,k1 having a tendency to ascend proportional to its lightness as compared with water1 necessarily rushes upwards2 if in ,c towards ,a1 and if in ,k towards ,h4 ,but this motion of the steam is also aided by the rapid circulation of the water which is continually maintained ,pg#dbg in the tubes1 otherwise it might be possible1 notwithstanding the levity of steam compared with water1 that a bubble might remain in a narrow tube without rising4 ,to bring the matter to the test of experiment1 ,i have connected two cylinders1 such as ,d and ,h1 by a system of glass tubes1 such as represented at ,c ,e ,k4 ,the rapid and constant circulation of the water was then made evident3 bubbles of steam were formed in the tubes1 it is true2 but they passed with great rapidity into the upper cylinder1 and rose to the surface1 so that the glass tubes never acquired a higher temperature than that of the water which passed through them4 ,every part of the boiler being cylindrical1 it has the form which1 mechanically considered1 is most favourable to strength1 and which1 within given dimensions1 contains the greatest quantity of water4 ,it is also free from the defects arising from unequal expansion1 which are found to be most injurious in tubular boilers4 ,the tubes ,c and ,k can freely expand in the direction of their length1 without being loosened at their joints1 and without straining any part of the apparatus2 the tubes ,e1 being short1 are subject to a very slight degree of expansion2 and it is obvious that the long tubes1 with which they are connected1 will yield to this without suffering a strain1 and without causing any part of the apparatus to be loosened4 ,when water is converted into steam1 any foreign matter which may be combined with it is disengaged1 and is deposited on the bottom of the vessel in which the water is evaporated4 ,all boilers1 therefore1 require occasional cleansing1 to prevent the crust thus formed from accumulating2 and this operation1 for obvious reasons1 is attended with peculiar difficulty in tubular boilers4 ,in the case before us1 the crust of deposited matter would gather and thicken in the tubes ,c and ,k1 and if not removed1 would at length choke them4 ,but besides this1 it would be attended with a still worse effect2 for1 being a bad conductor1 it would intercept the heat in its transit from the fire to the water1 and would cause the metal of the tube to become unduly heated4 ,mr4 ,gurney of course foresaw this inconvenience1 and contrived an ingenious chemical method of removing it1 by occasionally injecting ,pg#dbh through the tubes such an acid as would combine with the deposit1 and carry it away4 ,this method was effectual2 and although its practical application was found to be attended with difficulty in the hands of common workmen1 ,mr4 ,gurney was persuaded to adhere to it by the late ,dr4 ,wollaston1 until experience proved the impossibility of getting it effectually performed1 under the circumstances in which boilers are commonly used4 ,mr4 ,gurney then adopted a method of removing the deposit by mechanical means4 ,opposite the mouths of the tubes1 and on the other side of the cylinders ,d and ,h1 are placed a number of holes1 which1 when the boiler is in use1 are stopped by pieces of metal screwed into them4 ,when the tubes require to be cleaned1 these stoppers are removed1 and an iron scraper is introduced through the holes into the tubes1 which1 being passed backwards and forwards1 removes the deposit4 ,in these engines the draught through the furnace was produced by projecting the waste steam up the chimneys as is practised in railway engines2 a method so perfectly effectual1 that it is unlikely to be superseded by any other4 ,the objection which has been urged against it in locomotive engines1 working on turnpike-roads1 is1 that the noise which it produces has a tendency to frighten horses4 ,in the engines on the ,liverpool road1 the steam is allowed to pass directly from the eduction pipe of the cylinder to the chimney1 and it there escapes in puffs corresponding with the alternate motion of the pistons1 and produces a noise1 which1 although attended with no inconvenience on the railroad1 would perhaps be objectionable on turnpike-roads4 ,in the engine used in ,mr4 ,gurney's steam-carriage1 the steam which passes from the cylinders is conducted to a receptacle1 which he calls a blowing box4 ,this box serves the same purpose as the upper chamber of a smith's bellows4 ,it receives the steam from the cylinders in alternate puffs1 but lets it escape into the chimney in a continued stream by a number of small jets4 ,regular draught is by this means produced1 and no noise is perceived4 ,another exit for the steam is also provided1 by which the conductor is enabled to increase or diminish1 or to suspend altogether1 the draught ,pg#dbi in the chimney1 so as to adapt the intensity of the fire to the exigencies of the road4 ,this is a great convenience in practice2 because on some roads a draught is scarcely required1 while on others a powerful blast is indispensable4 ,connected with this blowing box is another apparatus of considerable practical importance4 ,the pipe through which the feeding water is conducted from the tank is carried through this blowing box1 within which it is coiled in a spiral form1 so that an extensive thread of the water is exposed to the heat of the waste steam which has escaped from the cylinders1 and which is enclosed in this blowing box4 ,in passing through this pipe the feeding water is raised from the ordinary temperature of about #fj to the temperature of #bab4 ,fuel is thus economised and weight diminished2 but there is another still greater advantage attending this process4 ,the feeding water in the worm just mentioned1 while it takes up the heat from the surrounding steam in the blowing box1 condenses a part of the waste steam1 which is thence conducted to the tank1 from which the feeding water is pumped4 ,when steam is generated so rapidly as is necessarily the case in locomotive boilers1 it rises with great violence in numerous bubbles from the bottom of the boiler to the surface of the water1 and puts the liquid into a state of foaming turbulence not unlike the sea in a storm4 ,as the steam rushes from the surface into the upper part of the boiler1 under these circumstances1 it carries with it a spray by which water is scattered in minute subdivision among the steam1 and floats there like the spray which rises from the base of a cascade4 ,if the steam be conducted immediately to the cylinder from the boiler in this state1 it will carry with it the water which is thus suspended in it1 which will pass through the cylinder1 and finally be driven into the atmosphere upon the returning stroke of the piston4 ,the hot water thus carried off possesses none of the mechanical properties of steam1 and is wholly inefficient as a moving power1 and is therefore an extensive source of the waste of heat4 ,in every boiler1 some means should be provided for the separation of the water thus suspended in the steam1 before the steam is conducted to the cylinder4 ,in ordinary boilers1 the large space which ,pg#dcj remains above the surface of the water serves this purpose4 ,the steam being there subject to no agitation or disturbance1 the water mechanically suspended in it descends by its own gravity1 and leaves pure steam in the upper part4 ,in the small tubular boilers1 this has been a matter1 however1 of greater difficulty4 ,the contracted space in which the ebullition takes place causes the water to be mixed with the steam in a greater quantity than could happen in common boilers2 and the want of the same steam-room renders the separation of the water from the steam a matter of some difficulty4 ,these inconveniences have been attempted to be overcome by various contrivances4 ,i have already described the rapid and regular circulation effected by the arrangement of the tubes4 ,by this a regularity in the currents is established1 which has a tendency to diminish the mixture of water with the steam4 ,in addition to this1 a method of separation is provided in the vessel ,i1 which is a strong iron cylinder of some magnitude1 placed out of the immediate influence of the fire4 ,a partial separation of the steam from the water takes place in the cylinder ,h2 and the steam with the water mechanically suspended in it1 technically called moist steam1 rises into the separator ,i4 ,here1 being free from all agitation and currents1 and being1 in fact1 quiescent1 the particles of water fall to the bottom1 while the pure steam remains at the top4 ,this separator1 therefore1 serves all the purposes of the steam-room above the surface of the water in the large plate boilers4 ,the dry steam is thus collected and ready for the supply of the engine through the tube ,n1 while the water1 which is disengaged from it1 is collected at the bottom of the separator1 and is conducted through the tube ,t to the lowest vessel ,d1 to be again circulated through the boiler4 ,the pistons of the engine work on the axles of the hind wheels of the carriage which bears the engine1 by cranks1 as in the locomotives on the ,manchester railway1 so that the axle is kept in a constant state of rotation while the engine is at work4 ,the wheels placed on this axle are not permanently fixed or keyed upon it1 as in the ,manchester locomotives2 but they are capable of turning upon it in the same manner as ordinary carriage wheels4 ,immediately within ,pg#dca these wheels there are fixed upon the axles two projecting spokes or levers1 which revolve with the axle1 and which take the position of two opposite spokes of the wheel4 ,these may be occasionally attached to the wheel or detached from it2 so that they are capable of compelling the wheels to turn with the axle1 or leaving the axle free to turn independently of the wheel1 or the wheel independent of the axle1 at the pleasure of the conductor4 ,it is by these levers that the engine is made to propel either or both of the wheels4 ,if both pairs of spokes are thrown into connexion with the wheels1 the crank shaft or axle will cause both wheels to turn with it1 and in that case the operation of the carriage is precisely the same as those of the locomotives already described upon the ,liverpool and ,manchester line2 but this is rarely found to be necessary1 since the adhesion of one wheel with the road is generally sufficient to propel the carriage1 and consequently only one pair of these fixed levers are used1 and the carriage propelled by only one of the two hind wheels4 ,the fore wheels of the carriage turn upon a pivot similar to those of a four-wheeled coach4 ,the position of these wheels is changed at pleasure by a pinion and circular rack1 which is moved by the conductor1 and in this manner the carriage is guided with precision and facility4 ,the force of traction necessary to propel a carriage upon common roads must vary with the variable quality of the road1 and consequently the propelling power1 or the pressure upon the pistons of the engine1 must be susceptible of a corresponding variation2 but a still greater variation becomes necessary from the undulations and hills which are upon all ordinary roads4 ,this necessary change in the intensity of the impelling power is obtained by restraining the steam in the boiler by the throttle-valve1 as already described in the locomotive engines on the railroad4 ,this principle1 however1 is carried much further in the present case4 ,the steam in the boiler maybe at a pressure of from #ajj to #bjj lbs4 on the square inch2 while the steam on the working piston may not exceed #cj or #dj lbs4 on the inch4 ,thus an immense increase of power is always at the command of the conductor2 so that when a hill is encountered1 or a rough piece of road1 ,pg#dcb he is enabled to lay on power sufficient to meet the exigency of the occasion4 ,the two difficulties which have been always apprehended in the practical working of steam-carriages upon common roads are1 first1 the command of sufficient power for hills and rough pieces of road2 and1 secondly1 the apprehended insufficiency of the adhesion of the wheels with the road to propel the carriage4 ,the former of these difficulties has been met by allowing steam of very great pressure to be constantly maintained in the boiler with perfect safety4 ,as to the second1 all experiments tend to show that there is no ground for the supposition that the adhesion of the wheels is in any case insufficient for the purposes of propulsion4 ,mr4 ,gurney states1 that he has succeeded in driving carriages thus propelled1 up considerable hills on the turnpike roads about ,london4 ,he made a journey to ,barnet with only one wheel attached to the axle1 which was found sufficient to propel the carriage up all hills upon that road4 ,the same carriage1 with only one propelling wheel1 also went to ,bath1 and surmounted all the hills between ,cranford ,bridge and ,bath1 going and returning4 ,a double stroke of the piston produces one revolution of the propelling wheels1 and causes the carriage to move through a space equal to the circumference of those wheels4 ,it will therefore be obvious1 that the greater the diameter of the wheels1 the better adapted the carriage is for speed2 and1 on the other hand1 wheels of smaller diameter are better adapted for power4 ,in fact1 the propelling power of an engine on the wheels will be in the inverse proportion of their diameter4 ,in carriages designed to carry great weights at a moderate speed1 smaller wheels will be used2 while in those intended for the transport of passengers at considerable velocities1 wheels of at least #e feet diameter are most advantageous4 7#bje47 ,among the numerous popular prejudices to which this new invention has given rise1 one of the most mischievous in its effects and most glaring in its falsehood1 is the notion that carriages thus propelled are more injurious to roads than carriages drawn by horses4 ,this error has been successfully exposed in the evidence taken before the committee of the ,pg#dcc ,house of ,commons upon steam carriages4 ,it is there demonstrated1 not only that carriages thus propelled do not wear a turnpike road more rapidly than those drawn by horses1 but that1 on the other hand1 the wear by the feet of horses is far more rapid and destructive than any which could be produced by the wheels of carriages4 ,steam carriages admit of having the tires of the wheels broad1 so as to act upon the road more in the manner of rollers1 and thereby to give consistency and firmness to the material of which the road is composed4 ,the driving wheels being proved not to slip upon the road1 do not produce any effects more injurious than the ordinary rolling wheels2 consequently the wear occasioned by a steam carriage upon a road1 is not more than that produced by a carriage drawn by horses1 of an equivalent weight and the same or equal tires2 but the wear produced by the pounding and digging of horses' feet in draught is many times greater than that produced by the wear of any carriage4 ,those who still have doubts upon this subject1 if there be any such persons1 will be fully satisfied by referring to the evidence which accompanies the report of the committee of the ,house of ,commons1 printed in ,october1 #ahca4 ,the weight of machinery necessary for steam carriages is sometimes urged as an objection to their practical utility4 ,mr4 ,gurney states1 that1 by successive improvements in the details of the machinery1 the weight of his carriages1 without losing any of the propelling power1 may be reduced to #ce cwt41 exclusive of the load1 and fuel and water3 but thinks that it is possible to reduce the weight still further4 ,a steam carriage constructed by ,mr4 ,gurney1 weighing #ce cwt41 working for #h hours1 is found1 according to his statement1 to do the work of about #cj horses4 ,he calculates that the weight of his propelling carriage1 which would be capable of drawing #ah persons1 would be equal to the weight of #d horses2 and the carriage in which these persons would be drawn would have the same weight as a common stage coach capable of carrying the same number of persons4 ,thus the weight of the whole--the propelling carriage and the carriage for passengers taken together--would be the same ,pg#dcd with the weight of a common stage coach1 with #d horses inclusive4 ,there are two methods of applying locomotives upon common roads to the transport of passengers or goods2 the one is by causing the locomotive to carry1 and the other to draw the load2 and different projectors have adopted the one and the other method4 ,each is attended with its advantages and disadvantages4 ,if the same carriage transport the engine and the load1 the weight of the whole will be less in proportion to the load carried2 also a greater pressure may be produced on the wheels by which the load is propelled4 ,it is also thought that a greater facility in turning and guiding the vehicle1 greater safety in descending the hills1 and a saving in the original cost1 will be obtained4 ,on the other hand1 when the passengers are placed in the same carriage with the engine1 they are necessarily more exposed to the noise of the machinery and to the heat of the boiler and furnace4 ,the danger of explosion is so slight1 that1 perhaps1 it scarcely deserves to be mentioned2 but still the apprehension of danger on the part of the passengers1 even though groundless1 should not be disregarded4 ,this apprehension will be obviously removed or diminished by transferring the passengers into a carriage separate from the engine2 but the greatest advantage of keeping the engine separate from the passengers is the facility which it affords of changing one engine for another in case of accident or derangement on the road1 in the same manner as horses are changed at the different stages3 or1 if such an accident occur in a place where a new engine cannot be procured1 the load of passengers may be carried forward by horses1 until it is brought to some station where a locomotive may be obtained4 ,there is also an advantage arising from the circumstance1 that when the engines are under repair1 or in process of cleaning1 the carriages for passengers are not necessarily idle4 ,thus the same number of carriages for passengers will not be required when the engine is used to draw as when it is used to carry4 ,in case of a very powerful engine being used to carry great loads1 it would be quite impracticable to place the engine ,pg#dce and loads on four wheels1 the pressure being such as no turnpike road could bear4 ,in this case it would be indispensably necessary to place a part of the load at least upon separate carriages to be drawn by the engine4 ,in the comparison of carriages propelled by steam with carriages drawn by horses1 there is no respect in which the advantage of the former is so apparent as the safety afforded to the passenger4 ,steam power is under the most perfect control1 and a carriage thus propelled is capable of being guided with the most admirable precision4 ,it is also capable of being stopped almost suddenly1 whatever be its speed3 it is capable of being turned within a space considerably less than that which would be necessary for four-horse coaches4 ,in turning sharp corners1 there is no danger1 with the most ordinary care on the part of the conductor4 ,on the other hand1 horse power1 as is well known1 is under very imperfect control1 especially when horses are used adapted to that speed which at present is generally considered necessary for the purposes of travelling4 ,the danger of being run away with and overturned1 says ,mr4 ,farey1 in his evidence before the ,house of ,commons1 is greatly diminished in a steam coach4 ,it is very difficult to control four such horses as can draw a heavy stage coach ten miles an hour1 in case they are frightened or choose to run away2 and1 for such quick travelling1 they must be kept in that state of courage that they are always inclined to run away1 particularly down hill1 and at sharp turns in the road4 ,steam power has very little corresponding danger1 being perfectly controllable1 and capable of having its power reversed1 to retard in going down hill4 ,it must be carelessness that would occasion the overturning of a steam carriage4 ,the chance of breaking down has been hitherto considerable1 but it will not be more than in stage coaches when the work is truly proportioned and properly executed4 ,the risk from explosion of the boiler is the only new cause of danger1 and that ,i consider not equivalent to the danger from horses4 ,that the risk of accident from explosion is extremely slight1 may be proved by the fact that the railway between ,liverpool and ,manchester has now been in operation for about ten ,pg#dcf years1 and that other railways more extensive in length have been worked for a considerable time1 and that no instance has ever yet occurred of an accident to passengers from the explosion of a boiler4 ,generally these machines1 when they fail1 are attended with no other effect than the extinction of the fire1 by the water of the boiler flowing in upon it4 ,i am not aware of more than one instance1 in which a serious accident has been produced by explosion2 and in that instance1 the sufferers were only the engineer and stoker4 ,in the steam-engine of ,mr4 ,gurney1 the carriage is drawn after the engine1 as represented in fig4 #aag4 ,illustration3 ,fig4 #aag4 ,illustration3 ,fig4 #aah4 7#bjf47 ,in the boiler to be used in the steam carriage projected by ,mr4 ,walter ,hancock1 the subdivision of the water is accomplished by dividing a case or box by a number of ,pg#dcg thin plates of metal1 like a galvanic battery1 the water being allowed to flow between every alternate pair of plates1 at ,e1 fig4 #aah41 and the intermediate spaces ,h forming the flue through which the flame and hot air are propelled4 ,in fact1 a number of thin plates of water are exposed on both sides to the most intense action of flame and heated air2 so that steam of a high pressure is produced in great abundance and with considerable rapidity4 ,the plates forming the boiler are bolted together by strong iron ties1 extending across the boiler1 at right angles to the plates1 as represented in the figure4 ,the distance between the plates is two inches4 ,there are ten flat chambers of this kind for water1 and intermediately between them ten flues4 ,under the flues is the fire-place1 or grate1 containing six square feet of fuel in vivid combustion4 ,the chambers are all filled to about two thirds of their depth with water1 and the other third is left for steam4 ,the water chambers1 throughout the whole series1 communicate with each other both at top and bottom1 and are held together by two large bolts4 ,by releasing these bolts1 at any time1 the chambers fall asunder2 and by screwing them up they may be all made tight again4 ,the water is supplied to the boiler by a forcing-pump1 and the steam issues from the centre of one of the flues at the top4 ,these boilers are constructed to bear a pressure of #djj or #ejj lbs4 on the square inch2 but the average pressure of the steam on the safety valve is from #fj to #ajj4 ,there are #ajj square feet of surface in contact with the water exposed to the fire4 ,the stages which such an engine performs are eight miles1 at the end of which a fresh supply of fuel and water are taken in4 ,it requires about two bushels of coke for each stage4 ,the steam carriage of ,mr4 ,hancock differs from that of ,mr4 ,gurney in this--that in the former the passengers and engine are all placed on the same carriage4 ,the boiler is placed behind the carriage2 and there is an engine-house between the boiler and the passengers1 the latter being placed in the fore part of the vehicle2 so that all the machinery is behind them4 ,the carriages are adapted to carry #ad ,pg#dch passengers1 and weigh1 exclusive of their load1 about #c-a_/b tons1 the tires of the wheels being about #c-a_/b inches in breadth4 ,mr4 ,hancock states1 that the construction of his boiler is of such a nature1 that1 even in the case of bursting1 no danger is to be apprehended1 nor any other inconvenience than the stoppage of the carriage4 ,he states that1 while travelling about nine miles an hour1 and working with a pressure of about #ajj lbs4 on the square inch1 loaded with thirteen passengers1 the carriage was suddenly stopped4 ,at first the cause of the accident was not apparent2 but1 on opening one of the cocks of the boiler1 it was found that it contained neither steam nor water4 ,further examination proved that the boiler had burst4 ,on unscrewing the bolts1 it was found that there were several large holes in the plates of the water-chamber1 through which the water had flowed on the fire1 but neither noise nor explosion1 nor any dangerous consequences1 ensued4 7#bjg47 ,mr4 ,nathaniel ,ogle of ,southampton obtained a patent for a locomotive carriage1 and worked it for some time experimentally2 but as his operations do not appear to have been continued1 ,i suppose he was unsuccessful in fulfilling those conditions1 without which the machine could not be worked with economy and profit4 ,in his evidence before a committee of the ,house of ,commons1 he has thus described his contrivance3-- ,the base of the boiler and the summit are composed of cross pieces1 cylindrical within and square without2 there are holes bored through these cross pieces1 and inserted through the whole is an air tube4 ,the inner hole of the lower surface1 and the under hole of the upper surface1 are rather larger than the other ones4 ,round the air tube is placed a small cylinder1 the collar of which fits round the larger aperture on the inner surface of the lower frame1 and the under surface of the upper frame-work4 ,these are both drawn together by screws from the top2 these cross pieces are united by connecting pieces1 the whole strongly bolted together2 so that we obtain1 in one tenth of the space1 and with one tenth of the weight1 the same heating surface and power as is now obtained in other and low-pressure boilers1 with incalculably ,pg#dci greater safety4 ,our present experimental boiler contains #bej superficial feet of heating surface in the space of #c feet #h inches high1 #c feet long1 and #b feet #d inches broad1 and weighs about #h cwt4 ,we supply the two cylinders with steam1 communicating by their pistons with a crank axle1 to the ends of which either one or both wheels are affixed as may be required4 ,one wheel is found to be sufficient1 except under very difficult circumstances1 and when the elevation is about one foot in six to impel the vehicle forward4 ,the cylinders of which the boiler is composed are so small as to bear a greater pressure than could be produced by the quantity of fire beneath the boiler2 and if any one of these cylinders should be injured by violence1 or any other way1 it would become merely a safety valve to the rest4 ,we never1 with the greatest pressure1 burst1 rent1 or injured our boiler2 and it has not once required cleaning1 after having been in use twelve months4 ,dr4 ,church of ,birmingham has obtained a succession of patents for contrivances connected with a locomotive engine for stone roads2 and a company1 consisting of a considerable number of individuals1 possessing sufficient capital1 has been formed in ,birmingham1 for carrying into effect his designs1 and working carriages on his principle4 ,the present boiler of ,dr4 ,church is formed of copper4 ,the water is contained between two sheets of copper1 united together by copper nails1 in a manner resembling the way in which the cloth forming the top of a mattress or cushion is united with the cloth which forms the bottom of it1 except that the nails or pins1 which bind the sheets of copper1 are much closer together4 ,the water1 in fact1 seems to be quilted or padded in between two sheets of thin copper4 ,this double sheet of copper is formed into an oblong rectangular box1 the interior of which is the fire-place and ash-pit1 and over the end of which is the steam-chest4 ,the great extent of surface exposed to the immediate action of the fire causes steam to be produced with great rapidity4 ,various other projects for the application of steam engines on common roads were in a state of progressive improvement1 ,pg#ddj when the greater advantages attending railways were considered so manifest1 that considerable doubts were raised1 whether1 supposing the problem of the application of the steam engine on common roads to be successfully solved1 it could ever be attended with the same economy and effect1 as by the adoption of a railway4 ,among the projects which promised a successful issue1 may be mentioned the locomotive engines contrived by ,messrs4 ,maudslay and ,field1 by ,colonel ,maceroni1 and by ,mr4 ,scott ,russell4 ,these and others have1 however1 been abandoned1 mainly1 we believe1 from the impression1 that wherever traffic can exist1 sufficiently extensive to render the application of steam power profitable1 a railway must always supersede a common road2 and that1 even in the limited traffic to be expected on branches to the great railways1 horse power applied to railways would be attended with more economy than steam power applied on stone roads4 ,illustration ,pg#dda ,illustration ,,chap4 ,,xiii4 ,,steam ,,navigation4 ,,form ,,and ,,arrangement ,,of ,,marine ,,engines4 -- ,,effects ,,of ,,sea ,,water ,,in ,,boilers4 -- ,,remedies ,,for ,,them4 -- ,,blowing ,,out4 -- ,,indicators ,,of ,,saltness4 -- ,,seaward',s ,,indicator4 -- ,,his ,,method ,,of ,,blowing ,,out4 -- ,,field',s ,,brine ,,pumps4 -- ,,tubular ,,condensers ,,applied ,,by ,,mr4 ,,watt4 -- ,,hall',s ,,condensers4 -- ,,copper ,,boilers4 -- ,,process ,,of ,,stoking4 -- ,,marine ,,boilers4 -- ,,means ,,of ,,economising ,,fuel4 -- ,,coating ,,marine ,,boilers ,,with ,,felt4 -- ,,number ,,and ,,arrangement ,,of ,,furnaces ,,and ,,flues4 -- ,,howard',s ,,engine4 -- ,,application ,,of ,,the ,,expansive ,,principle ,,in ,,marine ,,engines4 -- ,,recent ,,improvements ,,of ,,messrs4 ,,maudslay ,,and ,,field4 -- ,,humphrys' ,,engine4 -- ,,common ,,paddle-,,wheel4 -- ,,feathering ,,paddles4 -- ,,morgan',s ,,wheels4 -- ,,the ,,split ,,paddle4 -- ,,proportion ,,of ,,power ,,to ,,tonnage4 -- ,,improved ,,efficiency ,,of ,,marine ,,engines4 -- ,,iron ,,steam-,,vessels4 -- ,,steam-,,navigation ,,to ,,india4 7#bjh47 ,among the many ways in which the steam-engine has ministered to the advancement of civilisation and the social progress of the human race1 there is none more ,pg#ddb important or more interesting than its application to navigation4 ,before it lent its giant powers to the propulsion of ships1 locomotion over the waters of the deep was attended with so much danger and uncertainty that1 as a common proverb1 it became the type and the representative of every thing which was precarious and perilous4 ,the application1 however1 of steam to navigation has rescued the mariner and the voyager from many of the dangers of wind and water2 and even in its present state1 putting out of view its probable improvement1 it has rendered all voyages of moderate length as safe1 and very nearly as regular1 as journeys over-land4 ,as a means of transport by sea1 the application of this power may be considered as established2 and it is now receiving improvements by which its extension to the longest class of ocean voyages is a question not of practicability1 but merely of profit4 ,the manner in which the steam-engine is rendered an instrument for the propulsion of vessels must in its general features be so familiar to every one as to require but short explanation4 ,a shaft is carried across the vessel1 being continued on either side beyond the timbers3 to the extremities of this shaft1 on the outside of the vessel1 are fixed a pair of wheels constructed like undershot water-wheels1 having attached to their rims a number of flat boards called paddle-boards4 ,as the wheels revolve1 these paddle-boards strike the water1 driving it in a direction contrary to that in which it is intended the vessel should be propelled4 ,the moving force imparted to the water thus driven backwards is necessarily accompanied by a re-action upon the vessel through the medium of the paddle-shaft1 by which the vessel is propelled forwards4 ,on the paddle-shaft two cranks are constructed1 similar to the cranks already described on the axle of the driving wheels of a locomotive engine4 ,these cranks are placed at right angles to each other1 so that when either is in its highest or lowest position the other shall be horizontal4 ,they are driven by two steam-engines1 which are placed in the hull of the vessel below the paddle-shaft4 ,in the earlier steam-boats a single steam-engine was used1 and in that case the unequal action of the engine on the crank was equalised by a fly-wheel4 ,this1 however1 has been long ,pg#ddc since abandoned in ,european vessels1 and the use of two engines is now almost universal4 ,by the relative position of the cranks it will be seen1 that when either crank is at its dead points1 the other will be in the positions most favourable to its action1 and in all intermediate positions the relative efficiency of the cranks will be such as to render their combined action very nearly uniform4 ,the steam-engines used to impel vessels may be either condensing engines1 similar to those of ,watt1 and such as are used in manufactures generally1 or they may be non-condensing and high-pressure engines1 similar in principle to those used on railways4 ,low-pressure condensing engines are1 however1 universally used for marine purposes in ,europe and to some extent in the ,united ,states4 ,in the latter country1 however1 high-pressure engines are also in pretty general use1 on rivers where lightness is a matter of importance4 ,the arrangement of the parts of a marine engine differs in some respects from that of a land engine4 ,the limitation of space1 which is unavoidable in a vessel1 renders greater compactness necessary4 ,the paddle-shaft on which the cranks to be driven by the engine are constructed being very little below the deck of the vessel1 the beam and connecting rod could not be placed in the position in which they usually are in land engines1 without carrying the machinery to a considerable elevation above the deck4 ,this is done in the steam-boat engines used on the ,american rivers2 but it would be inadmissible in steam-boats in general1 and more especially in sea-going steamers4 ,the connecting rods1 therefore1 instead of being presented downwards towards the cranks which they drive1 must1 in steam-vessels1 be presented upwards1 and the impelling force received from below4 ,if1 under these circumstances1 the beam were in the usual position above the cylinder and piston-rod1 it must necessarily be placed between the engine and the paddle-shaft4 ,this would require a depth for the machinery which would be incompatible with the magnitude of the vessel4 ,the beam1 therefore1 of marine engines1 instead of being above the cylinder and piston1 is placed below them4 ,to the top of the ,pg#dde piston-rods cross pieces are attached of greater length than the diameter of the cylinders1 so that their extremities shall project beyond the cylinders4 ,to the ends of these cross pieces are attached by joints the rods of a parallel motion3 these rods are carried downwards1 and are connected with the ends of two beams below the cylinder1 and placed on either side of it4 ,the opposite ends of these beams are connected by another cross piece1 to which is attached a connecting rod1 which is continued upwards to the crank-pin1 to which it is attached1 and which it drives4 ,thus the beam1 parallel motion1 and connecting rod of a marine engine1 is similar to that of a land engine1 only that it is turned upside down2 and in consequence of the impossibility of placing the beam directly over the piston-rod1 two beams and two systems of parallel motion are provided1 one on each side of the engine1 acted upon by1 and acting on the piston-rod and crank by cross pieces4 ,the proportion of the cylinders differs from that usually observed in land engines1 for like reasons4 ,the length of the cylinder of land engines is generally greater than its diameter1 in the proportion of about two to one4 ,the cylinders of marine engines are1 however1 commonly constructed with a diameter very little less than their length4 ,in proportion1 therefore1 to their power their stroke is shorter1 which infers a corresponding shortness of crank and a greater limitation of play of all the moving parts in the vertical direction4 ,the valves and the gearing by which they are worked1 the air-pump1 the condenser1 and other parts of the marine engines1 do not materially differ from those already described in land engines4 ,illustration3 ,fig4 #aai4 ,these arrangements of a marine engine will be more clearly understood by reference to fig4 #aai4ce1 in which is represented a longitudinal section of a marine engine with its boiler as placed in a steam-vessel4 ,the sleepers of oak1 supporting the engine1 are represented at ,x1 the base of the engine being secured to these by bolts passing through them ,pg#ddf and the bottom timbers of the vessel2 ,s is the steam-pipe leading from the steam-chest in the boiler to the slides c1 by which it is admitted to the top and bottom of the cylinder4 ,the condenser is represented at ,b1 and the air-pump at ,e4 ,the hot well is seen at ,f1 from which the feed is taken for the boiler2 ,l is the piston-rod connected by the parallel motion a with the beam ,h1 working on a centre ,k1 near the base of the engine4 ,the other end of the beam ,i drives the connecting rod ,m1 which extends upwards to the crank which it works upon the paddle-shaft ,o4 ,q ,r is the framing by which the engine is supported4 ,the beam here exhibited is shown on dotted lines as being on the further side of the engine4 ,a similar beam similarly placed1 and moving on the same axis1 must be understood to be at this side connected with the cross head of the piston in like manner by a parallel motion1 and with a cross piece attached to the lower end of the connecting rod and to the opposite beam4 ,the eccentric which works the slides is placed upon the paddle shaft ,o1 and the connecting arm which drives the slides may be easily detached when the engine requires to be stopped4 ,the section of the boiler1 grate1 and flues1 is represented at ,w ,u4 ,the safety-valve y is enclosed beneath a pipe carried up beside the chimney1 and is inaccessible to the engine-man2 h are the cocks for blowing the salted water from the boiler2 and ,i ,i the feed-pipe4 ,the general arrangement of the engine-room of a steam-vessel is represented in fig4 #abj4 ,the nature of the effect required to be produced by marine engines does not render either necessary or possible that great regularity of action which is indispensable in a steam-engine applied to the purposes of manufacture4 ,the agitation of the surface of the sea will cause the immersion of the paddle-wheels to be subject to great variation1 and the resistance produced by the water to the engine will undergo a corresponding change4 ,the governor1 therefore1 and other parts of the apparatus1 contrived for giving to the engine that great regularity required in manufactures1 are omitted in nautical engines1 and nothing is introduced save what is ,pg#ddg necessary to maintain the machine in its full working efficiency4 ,illustration3 ,fig4 #abj4 ,illustration3 ,fig4 #aba4 ,to save space1 marine boilers are constructed so as to produce the necessary quantity of steam within the smallest possible dimensions4 ,with this view a more extensive surface in proportion to the capacity of the boiler is exposed to the action of the fire4 ,the flues1 by which the flame and heated air are conducted to the chimney1 are so constructed that the heat may act upon the water on every side in thin oblong shells or plates4 ,this is accomplished by constructing the flues so as to traverse the boiler backwards and forwards several times before they terminate ,pg#ddh in the chimney4 ,such an arrangement renders the expense of the boilers greater1 but their steam-producing power is proportionally augmented1 and experiments made by ,mr4 ,watt1 at ,birmingham1 have proved that such boilers with the same consumption of fuel will produce1 as compared with common land boilers1 an increased evaporation in the proportion of about three to two4 ,illustration3 ,fig4 #abb4 ,illustration3 ,fig4 #abc4 ,the form and arrangement of the water-spaces and flues in marine boilers may be collected from the sections of the boilers used in some of the government steamers1 exhibited in figs4 #aba1 #abb1 #abc4 ,a section made by a horizontal plane passing through the flues is exhibited in fig4 #aba4 ,the furnaces ,f communicate in pairs with the flues ,e1 the air following the course through the flues represented by the arrows4 ,the flue ,e passes to the back of the boiler1 then returns to the front1 then to the back again1 and is finally carried back to the front1 where it communicates at ,c with the curved flue ,b1 represented in the transverse vertical section1 fig4 #abb4 ,this curved flue ,b finally terminates in the chimney ,a4 ,there are in this case three independent boilers1 each worked by two furnaces communicating with the same system of flues2 and in the curved flues ,b1 fig4 #abb41 by which the air is finally conducted through the chimney1 are placed three independent ,pg#ddi dampers1 by means of which the furnace of each boiler can be regulated independently of the other1 and by which each boiler may be separately detached from communication with the chimney4 ,the letters of reference in the horizontal section1 fig4 #aba41 correspond with those in the transverse vertical section1 fig4 #abb41 ,e representing the commencement of the flues1 and ,c their termination4 ,illustration3 ,fig4 #abd4 ,a longitudinal section of the boiler made by a vertical plane extending from the front to the back is given in fig4 #abc41 where ,f1 as before1 is the furnace1 ,g the grate-bars sloping downwards from the front to the back1 ,h the fire-bridge1 ,c the commencement of the flues1 and ,a the chimney4 ,an elevation of the front of the boiler is represented in fig4 #abd41 showing two of the fire-doors closed1 and the other two removed1 displaying the position of the grate-bars in front4 ,small openings are also provided1 closed by proper doors1 by which access can be had to the under side of the flues between the foundation timbers of the engine for the purpose of cleaning them4 ,each of these boilers can be worked independently of the others4 ,by this means1 when at sea1 the engine may be worked by any two of the three boilers1 while the third is being cleaned and put in order4 ,in all sea-going steamers multiple boilers are at present provided for this purpose4 ,in the boilers here represented the flues are all upon the same level1 winding backwards and forwards without passing one above the other4 ,in other boilers1 however1 the flues1 ,pg#dej after passing backwards and forwards near the bottom of the boiler1 turn upwards and pass backwards and forwards through a level of the water nearer its surface1 finally terminating in the chimney4 ,more heating surface is thus obtained with the same capacity of boiler4 ,the most formidable difficulty which has been encountered in the application of the steam-engine to sea-voyages has arisen from the necessity of supplying the boiler with sea-water instead of pure fresh water4 ,the sea-water is injected into the condenser for the purpose of condensing the steam1 and it is thence1 mixed with the condensed steam1 conducted as feeding water into the boiler4 7#bji47 ,sea-water holds1 as is well known1 certain alkaline substances in solution1 the principal of which is muriate of soda1 or common salt4 ,ten thousand grains of pure sea-water contain two hundred and twenty grains of common salt1 the remaining ingredients being thirty-three grains of sulphate of soda1 forty-two grains of muriate of magnesia1 and eight grains of muriate of lime4 ,the heat which converts pure water into steam does not at the same time evaporate those salts which the water holds in solution4 ,as a consequence it follows1 that as the evaporation in the boiler is continued1 the salt1 which was held in solution by the water which has been evaporated1 remains in the boiler1 and enters into solution with the water remaining in it4 ,the quantity of salt contained in sea-water being considerably less than that which water is capable of holding in solution1 the process of evaporation for some time is attended with no other effect than to render the water in the boiler a stronger solution of salt4 ,if1 however1 this process be continued1 the quantity of salt retained in the boiler having constantly an increasing proportion to the quantity of water1 it must at length render the water in the boiler a saturated solution--that is1 a solution containing as much salt as at the actual temperature it is capable of holding in solution4 ,if1 therefore1 the evaporation be continued beyond this point1 the salt disengaged from the water evaporated instead of entering into solution with the water remaining in the boiler will be precipitated in the form of sediment2 and if the process be continued in the ,pg#dea same manner1 the boiler would at length become a mere salt-pan4 ,but besides the deposition of salt sediment in a loose form1 some of the constituents of sea-water having an attraction for the iron of the boiler1 collect upon it in a scale or crust in the same manner as earthy matters held in solution by spring-water are observed to form and become incrusted on the inner surface of land-boilers and of common culinary vessels4 ,the coating of the inner surface of a boiler by incrustation and the collection of salt sediment in its lower parts1 are attended with effects highly injurious to the materials of the boiler4 ,the crust and sediment thus formed within the boiler are almost non-conductors of heat1 and placed1 as they are1 between the water contained in the boiler and the metallic plates which form it1 they obstruct the passage of heat from the outer surface of the plates in contact with the fire to the water4 ,the heat1 therefore1 accumulating in the boiler-plates so as to give them a much higher temperature than the water within the boiler1 has the effect of softening them1 and by the unequal temperature which will thus be imparted to the lower plates which are incrusted1 compared with the higher parts which may not be so1 an unequal expansion is produced1 by which the joints and seams of the boiler are loosened and opened1 and leaks produced4 ,these injurious effects can only be prevented by either of two methods2 first1 by so regulating the feed of the boiler that the water it contains shall not be suffered to reach the point of saturation1 but shall be so limited in its degree of saltness that no injurious incrustation or deposit shall be formed2 secondly1 by the adoption of some method by which the boiler may be worked with fresh water4 ,this end can only be attained by condensing the steam by a jet of fresh water1 and working the boiler continually by the same water1 since a supply of fresh water sufficient for a boiler worked in the ordinary way could never be commanded at sea4 7#baj47 ,the method by which the saltness of the water in the boiler is most commonly prevented from exceeding a certain ,pg#deb limit has been to discharge from the boiler into the sea a certain quantity of over-salted water1 and to supply its place by sea-water introduced into the condenser through the injection-cock for the purpose of condensing the steam1 this water being mixed with the steam so condensed1 and being1 therefore1 a weaker solution of salt than common sea-water4 ,to effect this1 cocks called blow-off cocks1 are usually placed in the lower parts of the boiler1 where the over-salted1 and therefore heavier1 parts of the water collect4 ,the pressure of the steam and incumbent weight of the water in the boiler force the lower strata of water out through these cocks2 and this process1 called blowing out1 is1 or ought to be1 practised at such intervals as will prevent the water from becoming over salted4 ,when the salted water has been blown out in this manner1 the level of the water in the boiler is restored by a feed of corresponding quantity4 ,this process of blowing out1 on the due and regular observance of which the preservation and efficiency of the boiler mainly depend1 is too often left at the discretion of the engineer1 who is1 in most cases1 not even supplied with the proper means of ascertaining the extent to which the process should be carried4 ,it is commonly required that the engineer should blow out a certain portion of the water in the boiler every two hours1 restoring the level by a feed of equivalent amount2 but it is evident that the sufficiency of the process founded on such a rule must mainly depend on the supposition that the evaporation proceeds always at the same rate1 which is far from being the case with marine boilers4 ,an indicator1 by which the saltness of the water in the boiler would always be exhibited1 ought to be provided1 and the process of blowing out should be regulated by the indications of that instrument4 ,to blow out more frequently than is necessary is attended with a waste of fuel2 for hot water is thus discharged into the sea while cold water is introduced in its place1 and consequently all the heat necessary to produce the difference of the temperatures of the water blown out and the feed introduced is lost4 ,if1 on the other hand1 the process of blowing out be observed less frequently than is necessary1 then more or less incrustation and deposit ,pg#dec may be produced1 and the injurious effects already described ensue4 ,as the specific gravity of water holding salt in solution is increased with every increase of the strength of the solution1 any form of hydrometer capable of exhibiting a visible indication of the specific gravity of the water contained in the boiler would serve the purpose of an indicator1 to show when the process of blowing out is necessary1 and when it has been carried to a sufficient extent4 ,the application of such instruments1 however1 would be attended with some practical difficulties in the case of sea-boilers4 ,the temperature at which a solution of salt boils under a given pressure varies considerably with the strength of the solution2 the more concentrated the solution is1 the higher will be its boiling temperature under the same pressure4 ,a comparison1 therefore1 of a steam-gauge attached to the boiler1 and a thermometer immersed in it1 showing the pressure and the temperature1 would always indicate the saltness of the water2 and it would not be difficult so to graduate these instruments as to make them at once show the degree of saltness4 ,if the application of the thermometer be considered to be attended with practical difficulty1 the difference of pressures under which the salt water of the boiler and fresh water of the same temperature boil1 might be taken as an indication of the saltness of the water in the boiler1 and it would not be difficult to construct upon this principle a self-registering instrument1 which would not only indicate but record from hour to hour the degree of saltness of the water4 ,a small vessel of distilled water being immersed in the water of the boiler would always have the temperature of that water1 and the steam produced from it communicating with a steam-gauge1 the pressure of such steam would be indicated by that gauge1 while the pressure of the steam in the boiler under which pressure the salted water boils might be indicated by another gauge4 ,the difference of the pressures indicated by the two gauges would thus become a test by which the saltness of the water in the boiler would be measured4 ,the two pressures might be made to act on opposite ends of the same column of ,pg#ded mercury contained in a siphon tube1 and the difference of the levels of the two surfaces of the mercury would thus become a measure of the saltness of the water in the boiler4 ,a self-registering instrument founded on this principle formed part of the self-registering steam-log which ,i proposed to introduce into steam-vessels some time since4 7#baa47 ,the ,messrs4 ,seaward of ,limehouse have adopted1 in some of their recently constructed engines1 a method of indicating the saltness of the water1 and of measuring the quantity of salted water or brine discharged1 by blowing out4 ,a glass-gauge1 similar in form to that already described in land engines 7#aef471 is provided to indicate the position of the surface of the water in the boiler4 ,in this gauge two hydrometer balls are provided1 the weight of which in proportion to their magnitude is such that they would both sink to the bottom in a solution of salt of the same strength as common sea-water4 ,when the quantity of salt exceeds #e_/cb parts of the whole weight of the water1 the lighter of the two balls will float to the top2 and when the strength is further increased until the proportion of salt exceeds #f_/cb parts of the whole1 then the heavier ball will float to the top4 ,the actual quantity of salt held in solution by sea-water in its ordinary state is #a_/cb part of its whole weight2 and when by evaporation the proportion of salt in solution has become #i_/cb parts of the whole1 then a deposition of salt commences4 ,with an indicator such as that above described1 the ascent of the lighter hydrometer ball gives notice of the necessity for blowing out1 and the ascent of the heavier may be considered as indicating the approach of an injurious state of saltness in the boiler4 ,illustration3 ,fig4 #abe4 ,the ordinary method of blowing out the salted water from a boiler is by a pipe having a cock in it leading from the boiler through the bottom of the ship1 or at a point low down at its side4 ,whenever the engineer considers that the water in the boiler has become so salted that the process of blowing out should commence1 he opens the cock communicating by this pipe with the sea1 and suffers an indefinite and uncertain quantity of water to escape4 ,in this way he discharges1 according to the magnitude of the boiler1 from two to six tons ,pg#dee of water1 and repeats this at intervals of from two to four hours1 as he may consider to be sufficient4 ,if1 by observing this process1 he prevents the boiler from getting incrusted during the voyage1 he considers his duty to be effectually discharged1 forgetting that he may have blown out many times more water than is necessary for the preservation of the boiler1 and thereby produced a corresponding and unnecessary waste of fuel4 ,in order to limit the quantity of water discharged1 ,messrs4 ,seaward have adopted the following method4 ,in fig4 #abe4 is represented a transverse section of a part of a steam-vessel2 ,w is the water-line of the boiler1 ,b is the mouth of a blow-off pipe1 placed near the bottom of the boiler4 ,this pipe rises to ,a1 and turning in the horizontal direction1 ,a ,c is conducted to a tank ,t1 which contains exactly a ton of water4 ,this pipe communicates with the tank by a cock ,d1 governed by a lever ,h4 ,when this lever is moved to ,d1 the cock ,d is open1 and when it is moved to ,k1 the cock ,d is closed4 ,from the same tank there proceeds another pipe ,e1 which issues from the side of the ,pg#def vessel into the sea governed by a cock ,f1 which is likewise put in connection with the lever ,h1 so that it shall be opened when the lever ,h is drawn to the position ,f1 the cock ,d being closed in all positions of the lever between ,k and ,f4 ,thus1 whenever the cock ,f communicating with the sea is open1 the cock ,d communicating with the boiler is closed1 and vice vers1 both cocks being closed when the lever is in the intermediate position ,k4 ,by this arrangement the boiler cannot1 by any neglect in blowing off1 be left in communication with the sea1 nor can more than a ton of water be discharged except by the immediate act of the engineer4 ,the injurious consequences are thus prevented which sometimes ensue when the blow-off cocks are left open by any neglect on the part of the engineer4 ,when it is necessary to blow off1 the engineer moves the lever ,h1 to the position ,d4 ,the pressure of the steam in the boiler on the surface of the water ,w forces the salted water or brine up the pipe ,b ,a1 and through the open cock ,c into the tank1 and this continues until the tank is filled3 when that takes place1 the lever is moved from the position ,d to the position ,f1 by which the cock ,d is closed1 and the cock ,f opened4 ,the water in the tank flows through the pipe ,e into the sea1 air being admitted through the valve ,v1 placed at the top of the tank1 opening inwards4 ,a second ton of brine is discharged by moving the lever back to the position ,d1 and subsequently returning it to the position ,f2 and in this way the brine is discharged ton by ton1 until the supply of water from the feed which replaces it has caused both the balls in the indicator to sink to the bottom4 7#bab47 ,a different method of preserving the requisite freshness of the water in the boiler has been adopted by ,messrs4 ,maudslay and ,field1 and introduced with success into the ,great ,western and other steam-vessels4 ,pumps called brine-pumps are put into communication with the lower part of the boiler1 and so constructed as to draw the brine therefrom1 and drive it into the sea4 ,these brine-pumps are worked by the engine1 and their operation is constant4 ,the feed-pumps are likewise worked by the engine1 and they bear such a proportion to the brine-pumps that the quantity of salt discharged in a given time in the brine is equal to the quantity of salt ,pg#deg introduced in solution by the water of the feed-pumps4 ,by this means the same actual quantity of salt is constantly maintained in the boiler1 and consequently the strength of the solution remains invariable4 ,if the brine discharged by the brine-pumps contains #e_/cb parts of salt while the water introduced by the feed-pumps contains only #a_/cb part1 then it is evident that five cubic feet of the feeding water will contain no more salt than is contained in one cubic foot of brine4 ,under such circumstances the brine-pumps would be so constructed as to discharge #a_/e of the water introduced by the feed-pumps1 so that #d_/e of all the water introduced into the boiler would be evaporated1 and rendered available for working the engine4 ,to save the heat of the brine1 a method has been adopted in the marine engines constructed by ,messrs4 ,maudslay and ,field similar to one which has been long practised in steam-boilers1 and in various apparatus for the warming of buildings4 ,the current of heated brine is conducted from the boiler through a tube which is contained in another1 through which the feed is introduced4 ,the warm current of brine1 therefore1 as it passes out1 imparts a considerable portion of its heat to the cold feed which comes in2 and it is found that by this expedient the brine discharged into the sea may be reduced to a temperature of about #ajj4 ,this expedient is so effectual that when the apparatus is properly constructed1 and kept in a state of efficiency1 it may be regarded as nearly a perfect preventive against the incrustation1 and the deposition of salt in the boilers1 and is not attended with any considerable waste of fuel4 7#bac47 ,about the year #aggf1 ,mr4 ,watt invented a tubular condenser1 with a view to condense the steam drawn off from the cylinder without the process of injection4 ,this apparatus consisted of a number of small tubes connecting the top and bottom of the condenser1 arranged in a manner not very different from that of the tubes which traverse the boiler of a locomotive engine4 ,these tubes were continually surrounded by cold water1 and the steam1 as it escaped from the cylinder passing through them1 was condensed by their cold surfaces1 and collected in the form of water in a reservoir below1 from ,pg#deh whence it was drawn off by a pump in the same manner as in engines which condensed by injection4 ,one of the advantages proposed by this expedient was1 that no atmospheric air would be introduced into the condenser1 as is always the case when condensation by injection is practised4 ,cold water1 which is injected1 has always combined with it more or less common air4 ,when this water is mixed with the condensed steam1 the elevation of its temperature disengages the air combined with it1 and this air circulating to the cylinder1 vitiates the vacuum4 ,one of the purposes for which the air-pump in condensing steam-engines was provided1 and from which it took its name1 was to draw off this air4 ,if1 however1 a tubular condenser could be made to act with the necessary efficiency1 no injection water would be introduced for condensation1 and the pump would have no other duty except to remove the small quantity of water produced by the condensed steam4 ,that water being subsequently carried back to the boiler by the feed-pumps1 a constant system of circulation would be maintained1 and the boiler would never require any fresh supply of water1 except what might be necessary to make good the waste by leakage and other causes4 ,this contrivance has been of late years revived by ,mr4 ,samuel ,hall of ,basford1 near ,nottingham1 with a view to supersede in marine engines the necessity of using sea-water in the boilers4 ,mr4 ,hall proposes to make marine boilers with fresh water to condense the steam without injection1 by a tubulated condenser1 and to provide by the distillation of sea-water the small quantity of fresh water which would be necessary to make good the waste4 ,these condensers have been introduced into several steam-vessels3 in some they have been continued1 and in others abandoned1 and various opinions are entertained of their efficacy4 ,i have not been able to obtain the results of any satisfactory experiments on them1 and cannot therefore form a judgment of their usefulness4 ,mr4 ,watt abandoned these condensers from finding that the condensation of the steam was not sufficiently sudden1 and that consequently at the commencement of the stroke the piston was subject to a resistance which ,pg#dei injuriously diminished the amount of the moving power1 whereas condensation by jet was almost instantaneous1 and the efficiency of the piston throughout the entire stroke was more uniform4 ,mr4 ,watt also found that a fur collected around the tubes of the condenser1 so as to obstruct the free passage of heat from the steam to the water of the cold cistern2 and that1 consequently1 the efficiency of the condenser was gradually impaired1 and could only be restored by frequent cleansing4 ,it is stated by ,mr4 ,hall that a vacuum is preserved in his condensers as perfect as that which is maintained in the ordinary condensers by injection4 ,it is objected1 on the other hand1 that without the injection water and the air which accompanies it being introduced into his condensers1 ,mr4 ,hall uses as large and powerful an air-pump as those which are used in engines of equal power condensing by injection2 that1 consequently1 the vacuum which is maintained is produced1 not as it ought to be altogether by the condensation of steam1 but by the air-pump drawing off the uncondensed steam4 ,to whatever extent this may be true1 the efficacy of the machine1 as indicated by the barometer-gauge1 is only apparent2 since as much power is necessary to pump away any portion of uncondensed vapour as is obtained by the vacuum produced by the absence of that vapour4 ,a tubular condenser of the form proposed by ,mr4 ,hall is represented in fig4 #abf42 a is the upper part of the condenser to which steam is admitted from the slide after having worked the piston2 k is the section of a thin plate1 forming the top of the condenser1 perforated with small holes1 in which the tubes are inserted so as to be steam-tight and water-tight4 ,water is admitted to flow around these tubes between the top k and the bottom d of the condenser1 so as to keep them constantly at a low temperature4 ,the steam passes from a through the tubes to the lower chamber f of the condenser1 where it is reduced to water by the cold to which it has been exposed4 ,a supply of cold water is constantly pumped through the condenser1 so as to keep the tubes at a low temperature4 ,the air-pump g is of the usual construction1 having valves in the piston opening upwards1 and ,pg#dfj similar valves in the cover of the pump also opening upwards4 ,the water formed by the condensed steam in f is drawn through the foot-valve1 and after passing through the piston-valves1 is discharged by the up-stroke of the piston into the hot well4 ,any air1 or other permanent gas1 which may be admitted by leakage through the tubes of the condenser1 or by any other means1 is likewise drawn out by this pump1 and when drawn into the hot well is carried from thence to the feeding apparatus of the boiler1 to which it is transferred by the feed-pump4 ,illustration3 ,fig4 #abf4 ,a provision is likewise made by which the steam escaping at the safety-valve is condensed and carried away to the feeding cistern4 7#bad47 ,one of the remedies proposed for the evil consequences arising from incrustation is the substitution of copper for iron boilers4 ,the attraction which produces the adhesion of the calcareous matter held in solution by salt water to the surface of iron has no existence in copper1 and all the saline and other alkaline matter precipitated in the boiling water in ,pg#dfa copper boilers is suspended in a loose form1 and carried off by the process of blowing out4 ,besides the injury arising from the deposition of salt and the incrustation on the inner surface of boilers1 an evil of a formidable kind attends the accumulation of soot mixed with salt in the flues1 which proceeds from the leaks4 ,in the seams of the boiler there are numerous apertures1 of dimensions so small as to be incapable of being rendered stanch by any practicable means1 through which the water within the boiler filters1 and the salt which it carries with it mixes with the soot1 forming a compound which rapidly corrodes the boilers4 ,this process of corrosion in the flues takes place not less in copper than in iron boilers4 ,in cleansing the flues of a copper boiler1 the salt and soot which was thrown out upon the iron-plates which formed the flooring of the engine-room1 having remained there for some time1 left behind it a permanent appearance of copper on the iron flooring1 arising from the precipitation of the copper which had combined with the soot and salt in the flues4#cf ,in this case the leaks from whence the salt proceeded were found1 on careful examination1 so unimportant1 that the usual means to stanch them could not be resorted to without the risk of increasing the evil4 7#bae47 ,in the application of the steam-engine to the propulsion of vessels in voyages of great extent1 the economy of fuel acquires an importance greater than that which appertains to it in land-engines1 even in localities the most removed from coal-mines1 and where its expense is greatest4 ,the practical limit to steam-voyages being determined by the greatest quantity of coals which a steam-vessel can carry1 every expedient by which the efficiency of the fuel can be increased becomes a means1 not merely of a saving of expense1 but of an increased extension of steam-power to navigation4 ,much attention has been bestowed on the augmentation of the duty of engines in the mining districts of ,cornwall1 where the question of their efficiency is merely a question of economy1 but far greater care should be given to this subject when the practicability of maintaining intercourse by steam between distant points of the globe will perhaps depend on the effect produced by a given quantity ,pg#dfb of fuel4 ,so long as steam-navigation was confined to river and channel transport1 and to coasting voyages1 the speed of the vessel was a paramount consideration1 at whatever expenditure of fuel it might be obtained2 but since steam-navigation has been extended to ocean-voyages1 where coals must be transported sufficient to keep the engine in operation for a long period of time without a fresh relay1 greater attention has been bestowed upon the means of economising it4 ,much of the efficiency of fuel must depend on the management of the fires1 and therefore on the skill and care of the stokers4 ,formerly the efficiency of firemen was determined by the abundant production of steam1 and so long as the steam was evolved in superabundance1 however it might have blown off to waste1 the duty of the stoker was considered as well performed4 ,the regulation of the fires according to the demands of the engine were not thought of1 and whether much or little steam was wanted1 the duty of the stoker was to urge the fires to their extreme limit4 ,since the resistance opposed by the action of the paddle-wheels of a steam-vessel varies with the state of the weather1 the consumption of steam in the cylinders must undergo a corresponding variation2 and if the production of steam in the boilers be not proportioned to this1 the engines will either work with less efficiency than they might do under the actual circumstances of the weather1 or more steam will be produced in the boilers than the cylinders can consume1 and the surplus will be discharged to waste through the safety-valves4 ,the stokers of a marine engine1 therefore1 to perform their duty with efficiency1 and obtain from the fuel the greatest possible effect1 must discharge the functions of a self-regulating furnace1 such as has been already described3 they must regulate the force of the fires by the amount of steam which the cylinders are capable of consuming1 and they must take care that no unconsumed fuel is allowed to be carried away from the ash-pit4 7#baf47 ,until within a few years of the present time the heat radiated from every part of the surface of the boiler was allowed to go to waste1 and to produce injurious effects on those parts of the vessel to which it was transmitted4 ,this evil1 ,pg#dfc however1 has been lately removed by coating the boilers1 steam-pipes1 c4 of steam-vessels with felt1 by which the escape of heat from the surface of the boiler is very nearly1 if not altogether1 prevented4 ,this felt is attached to the boiler-surface by a thick covering of white and red lead4 ,this expedient was first applied in the year #ahah to a private steam-vessel of ,mr4 ,watt's called the ,caledonia1 and it was subsequently adopted in another vessel1 the machinery of which was constructed at ,soho1 called the ,james ,watt4 ,the economy of fuel depends in a considerable degree on the arrangement of the furnaces1 and the method of feeding them4 ,in general each boiler is worked by two or more furnaces communicating with the same system of flues4 ,while the furnace is fed1 the door being open1 a stream of cold air rushes in1 passing over the burning fuel and lowering the temperature of the flues3 this is an evil to be avoided4 ,but1 on the other hand1 if the furnaces be fed at distant intervals1 then each furnace will be unduly heaped with fuel1 a great quantity of smoke will be evolved1 and the combustion of the fuel will be proportionally imperfect4 ,the process of coking in front of the grate1 which would insure a complete combustion of the fuel1 has been already described 7#adg474 ,a frequent supply of coals1 however1 laid carefully on the front part of the grate1 and gradually pushed backwards as each fresh feed is introduced1 would require the fire-door to be frequently opened1 and cold air to be admitted4 ,it would also require greater vigilance on the part of the stokers than can generally be obtained in the circumstances in which they work4 ,in steam-vessels the furnaces are therefore fed less frequently1 fuel introduced in greater quantities1 and a less perfect combustion produced4 ,when several furnaces are constructed under the same boiler1 communicating with the same system of flues1 the process of feeding1 and consequently opening one of them1 obstructs the due operation of the others1 for the current of cold air which is thus admitted into the flues checks the draft and diminishes the efficiency of the furnaces in operation4 ,it was formerly the practice in vessels exceeding one hundred horse-power1 to place four furnaces under each boiler1 communicating with the same system of flues4 ,such an arrangement ,pg#dfd was found to be attended with a bad draft in the furnaces1 and therefore to require a greater quantity of heating surface to produce the necessary evaporation4 ,this entailed upon the machinery the occupation of more space in the vessel in proportion to its power2 it has therefore been more recently the practice to give a separate system of flues to each pair of furnaces1 or1 at most1 to every three furnaces4 ,when three furnaces communicate with a common flue1 two will always be in operation1 while the third is being cleared out2 but if the same quantity of fire were divided among two furnaces1 then the clearing out of one would throw out of operation half the entire quantity of fire1 and during the process the evaporation would be injuriously diminished4 ,it is found by experience1 that the side plates of furnaces are liable to more rapid destruction than their roofs1 owing1 probably1 to a greater liability to deposit4 ,furnaces1 therefore1 should not be made narrower than a certain limit4 ,great depth from front to back is also attended with practical inconvenience1 as it renders firing tools of considerable length1 and a corresponding extent of stoking room necessary4 ,it is recommended1 by those who have had much practical experience in steam-vessels1 that furnaces six feet in depth from front to back should not be less than three feet in width1 to afford means of firing with as little injury to the side plates as possible1 and of keeping the fires in the condition necessary for the production of the greatest effect4 ,the tops of the furnaces almost never decay1 and seldom are subject to an alteration of figure1 unless the level of the water be allowed to fall below them4#cg 7#bag47 ,a form of marine engine was some years since proposed and patented by ,mr4 ,thomas ,howard1 possessing much novelty and ingenuity1 and having pretensions to a very extraordinary economy of fuel1 in addition to the advantages claimed by ,mr4 ,hall4 ,in ,mr4 ,howard's engines1 the steam1 as in ,mr4 ,hall's1 is constantly reproduced from the same water1 so that pure or distilled water may be used2 but ,mr4 ,howard dispenses altogether with the use of a boiler4 ,a quantity of mercury is placed in a shallow wrought-iron vessel over a coke fire1 by which it is maintained at a ,pg#dfe temperature varying from #djj to #ejj4 ,the surface exposed to the fire was computed at three fourths of a square foot for each horse-power4 ,the upper surface of the mercury was covered by a very thin plate of iron in contact with it1 and so contrived as to present about four times as much surface as that exposed beneath the fire4 ,adjacent to this a vessel of water was placed1 maintained nearly at the boiling point1 and communicating by a nozzle and valve with the chamber immediately above the mercury4 ,at intervals corresponding to the motion of the piston a small quantity of water was injected from this vessel1 and thrown upon the plate of iron resting upon the hot mercury4 ,from this it received not only the heat necessary to convert it into common steam1 but to give it the qualities of highly superheated steam4 ,in fact1 the steam thus produced had a temperature considerably above that which corresponded to its pressure1 and was1 therefore1 capable of being deprived of more or less of its heat without being condensed4 7#id47 ,the quantity of water injected into the steam-chamber was regulated by the power at which the engine was intended to be worked4 ,the fire was supplied with air by a blower subject to exact regulation4 ,the steam thus produced was conducted to a chamber surrounding the working cylinder1 and this chamber itself was enclosed by another space through which the air from the furnace passed before it reached the flue4 ,by this contrivance the air imparted its redundant heat to the steam1 as the latter passed to the cylinder1 and raised its temperature to about #djj1 the pressure1 however1 not exceeding #be lbs4 per square inch4 ,the valves1 governing the admission of steam to the piston1 were adapted for expansive action4 ,the vacuum on the opposite side was maintained by condensation in the following manner3--,the condenser was a copper vessel placed in a cistern of cold water1 and the steam was admitted to it from the cylinder by an eduction pipe in the usual way4 ,a jet was introduced from an adjacent vessel filled with distilled water1 and the condensing water and condensed steam were pumped from the condenser as in common engines4 ,the warm water thus pumped out of the ,pg#dff condenser was drawn through a copper worm1 carried with many coils through a cistern of cold water1 so that when it arrived at the end of this pipe it was reduced nearly to the temperature of the atmosphere4 ,the pipe was thus brought to the vessel of distilled water already mentioned1 and the water supplied by it replaced4 ,the water admitted to the condenser through the condensing jet being purged of air1 a small air-pump was sufficient1 since it had only to exhaust the condenser and tubes at starting1 and to remove the air which might be admitted by leakage4 ,mr4 ,howard stated that the condensation took place as rapidly and perfectly as in the best engines of the common kind4 ,an engine of this construction was in the spring of #ahce placed in the government steamer called the ,comet4 ,it was stated1 that though the machinery was not advantageously constructed1 a part of the engine being old1 and not made expressly for a boiler of this kind1 the vessel performed a voyage from ,falmouth to ,lisbon1 in which the consumption of fuel did not exceed a third of her former consumption when worked by ,boulton and ,watt's engines1 the former consumption of coals being about eight hundred pounds per hour1 and the consumption of ,mr4 ,howard's engine being less than two hundred and fifty pounds of coke per hour4 ,the advantages claimed for this contrivance were the following3 first1 the small space and weight occupied by the machinery1 arising from the absence of a boiler2 second1 the diminished consumption of fuel2 third1 the reduced size of the flues2 fourth1 the removal of the injurious effects arising from deposit and incrustation2 fifth1 the absence of smoke4 7#bah47 ,the method by which the greatest quantity of practical effect can be obtained from a given quantity of fuel must1 however1 mainly depend on the extended application of the expansive principle4 ,this has been the means by which an extraordinary amount of duty has been obtained from the ,cornish engines4 ,the difficulty of the application of this principle in marine engines has arisen from the objections entertained in ,europe to the use of steam of high pressure under the circumstances in which the engine must be worked at sea4 ,to apply the expansive principle1 it is necessary that the moving power at the commencement of the stroke shall considerably exceed the ,pg#dfg resistance1 its force being gradually attenuated till the completion of the stroke1 when it will at length become less than the resistance4 ,this condition may1 however1 be attained with steam of limited pressure1 if the engine be constructed with a sufficient quantity of piston-surface4 ,this method of rendering the expansive principle available at sea1 and compatible with low-pressure steam1 has recently been brought into operation by ,messrs4 ,maudslay and ,field4 ,their improvement consists in adapting two steam-cylinders in one engine1 in such a manner that the steam shall act simultaneously on both pistons1 causing them to ascend and descend together4 ,the piston-rods are both attached to the same horizontal cross-head1 whereby their combined action is applied to one crank by means of a connecting rod placed between the pistons4 ,illustration3 ,fig4 #abg4 ,a section of such an engine1 made by a plane passing through the two piston-rods ,p ,p and cylinders1 is represented in fig4 #abg4 ,the piston-rods are attached to a cross-head ,c1 ,pg#dfh which ascends and descends with them4 ,this cross-head drives upwards and downwards an axle ,d1 to which the lower end of the connecting rod ,e is attached4 ,the other end of the connecting rod drives the crank-pin ,f1 and imparts revolution to the paddle-shaft ,g4 ,a rod ,h conveys motion by means of a beam ,i to the rod ,k of the air-pump ,e4 7#bai47 ,connected with this1 and in the same patent1 another improvement is included1 consisting of the application of a hollow wrought-iron framing carried across the vessel above the machinery1 to support the whole of the bearings of the crank-shaft4 ,a plan of this1 including the cylinders and paddle-wheel1 is represented in fig4 #abh4 ,the advantages proposed by these improvements are simplicity of construction1 more direct action on the crank1 economy of space and weight of material1 combined with increased area of the piston1 whereby a given evaporating power of the boiler is rendered productive1 by extended application of the expansive principle1 of a greater moving power than in former arrangements4 ,consequently1 under like circumstances1 greater power and economy of fuel is obtained1 with the further advantage at sea1 that when the engine is reduced in its speed1 either by the vessel being deeply laden with coal1 as is the case at the commencement of a long sea voyage1 or by head winds1 more steam may be given to the cylinders1 and consequently more speed imparted to the vessel1 all the steam produced in the boiler being usefully employed4 7#bbj47 ,another improvement1 having the same objects1 and analogous to the preceding1 has been likewise patented by ,messrs4 ,maudslay and ,field4 ,this consists in the adoption of a cylinder of greater diameter1 having two piston-rods ,p ,p1 as represented in fig4 #abi41 of considerable length1 connected at the top by a cross-head ,c4 ,from this cross-head is carried downwards the connecting rod ,d1 which drives the crank-pin ,e1 and thereby works the paddle-shaft ,s4 ,in this case the paddle-shaft is extended immediately above the piston1 and the double piston-rod has sufficient length to be above the paddle-shaft when the piston is at the bottom of its stroke4 ,this improvement is intended to be applied more particularly for engines for river navigation1 the advantages resulting from ,pg#dfi it being that a paddle-shaft placed at a given height from the bottom of the vessel will be enabled to receive a longer stroke of piston than by any other arrangement now in use4 ,a more ,pg#dgj compact and firm connection of the cylinder with the crank-shaft bearings is effected by it1 and a cylinder of much greater diameter may be applied by which the expansive action of steam may be more fully brought into play2 and a more direct action of the steam-power on the crank with a less weight of materials and a greater economy of space may be obtained than by any of the arrangements of marine engines hitherto used4 ,illustration3 ,fig4 #abh4 ,illustration3 ,fig4 #abi4 7#bba47 ,mr4 ,francis ,humphrys has obtained a patent for a form of marine engine1 by which some simplification of the machinery is attained1 and the same power comprised within more limited dimensions4 ,in this engine there is attached to the piston of the cylinder1 instead of a piston-rod1 a hollow casing ,d ,d 7fig4 #acj471 which moves through a stuffing-box ,g1 constructed in a manner similar to the stuffing-box of a piston-rod4 ,in the figure1 this casing is presented in section1 but ,pg#dga its form is that of a long narrow slit1 or opening1 rounded at either end as exhibited in the plan 7fig4 #aca7 of the cylinder-cover4 ,the crank ,c is driven by the other end of the connecting rod ,h1 the crank-shaft being immediately above the centre of the piston and the connecting rod passing through the oblong opening ,d1 and descending into the hollow piston-rod it is attached to an axis ,i at the bottom of the piston4 ,a box or cover ,k ,k encloses the cross-piece or axis ,i with its bearings1 and is ,pg#dgb attached so as to be steam-tight to the bottom of the piston4 ,a hollow space ,l ,l is cast in the bottom of the cylinder for the reception of the box ,k ,k1 when the piston is at the bottom of the cylinder4 ,illustration3 ,fig4 #acj4 ,illustration3 ,fig4 #aca4 ,by this arrangement the force by which the piston is driven in its ascent and descent is communicated to the connecting rod1 not1 as usual1 through the intervention of a piston-rod1 but directly from the piston itself by the cross-pin ,i1 and from thence to the crank ,c1 which it drives without the intervention of beams1 cross-heads1 or any similar appendage4 ,the slide-valves regulating the admission and eduction of steam are represented at a2 the rod of the air-pump is shown at d1 being worked by a crank placed on the centre of the great crank shaft4#ch 7#bbb47 ,to obtain from the moving power its full amount of mechanical effect in propelling the vessel1 it would be necessary that its force should propel1 by constantly acting against the water in a horizontal direction1 and with a motion contrary to the course of the vessel4 ,no system of mechanical propellers has1 however1 yet been contrived capable of perfectly accomplishing this4 ,patents have been granted for many ingenious mechanical combinations to impart to the propelling surfaces such angles as appeared to the respective contrivers most advantageous4 ,in most of these the mechanical complexity has formed a fatal objection4 ,no part of the machinery of a steam-vessel is so liable to become deranged at sea as the paddle-wheels2 and1 therefore1 that simplicity of construction which is compatible with those repairs which are possible on such emergencies is quite essential for safe practical use4 ,illustration3 ,fig4 #acb4 ,the ordinary paddle-wheel1 as has been already stated1 is a wheel revolving upon a shaft driven by the engine1 and carrying upon its circumference a number of flat boards1 called paddle-boards1 which are secured by nuts and braces in a fixed position2 and that position is such that the planes ,pg#dgc of the paddle-boards diverge nearly from the centre of the shaft on which the wheel turns4 ,the consequence of this arrangement is that each paddle-board can only act in that direction which is most advantageous for the propulsion of the vessel when it arrives near the lowest point of the wheel4 ,in fig4 #acb4 let ,o be the shaft on which the common paddle-wheel revolves2 the position of the paddle-boards are represented at ,a1 ,b1 ,c1 c42 ,x1 ,y represents the water line1 the course of the vessel being supposed to be from ,x to ,y2 the arrows represent the direction in which the paddle-wheel revolves4 ,the wheel is immersed to the depth of the lowest paddle-board1 since a less degree of immersion would render a portion of the surface of each paddle-board mechanically useless4 ,in the position ,a the whole force of the paddle-board is efficient for propelling the vessel2 but as the paddle enters the water in the position ,h1 its action upon the water1 not being horizontal1 is only partially effective for propulsion3 a part of the force which drives the paddle is expended in depressing the water1 and the remainder in driving it contrary to the course of the vessel1 and1 therefore1 by its re-action producing a certain propelling effect4 ,the tendency1 however1 of the paddle entering the water at ,h1 is to form a hollow or trough1 which the water1 by its ordinary property1 has a continual tendency to fill up4 ,after passing the lowest point ,a1 as the paddle approaches the position ,b1 where it ,pg#dgd emerges from the water1 its action again becomes oblique1 a part only having a propelling effect1 and the remainder having a tendency to raise the water1 and throw up a wave and spray behind the paddle-wheel4 ,it is evident that the more deeply the paddle-wheel becomes immersed1 the greater will be the proportion of the propelling power thus wasted in elevating and depressing the water2 and if the wheel were immersed to its axis1 the whole force of the paddle-boards1 on entering and leaving the water1 would be lost1 no part of it having a tendency to propel4 ,if a still deeper immersion take place1 the paddle-boards above the axis would have a tendency to retard the course of the vessel4 ,when the vessel is1 therefore1 in proper trim1 the immersion should not exceed nor fall short of the depth of the lowest paddle2 but for various reasons it is impossible in practice to maintain this fixed immersion3 the agitation of the surface of the sea1 causing the vessel to roll1 will necessarily produce a great variation in the immersion of the paddle-wheels1 one becoming frequently immersed to its axle1 while the other is raised altogether out of the water4 ,also the draught of water of the vessel is liable to change1 by the variation in her cargo2 this will necessarily happen in steamers which take long voyages4 ,at starting they are heavily laden with fuel1 which as they proceed is gradually consumed1 whereby the vessel is lightened4 7#bbc47 ,to remove this defect1 and economise as much as possible the propelling effect of the paddle-boards1 it would be necessary so to construct them that they may enter and leave the water edgeways1 or as nearly so as possible2 such an arrangement would be1 in effect1 equivalent to the process called feathering1 as applied to oars4 ,any mechanism which would perfectly accomplish this would cause the paddles to work in almost perfect silence1 and would very nearly remove the inconvenient and injurious vibration which is produced by the action of the common paddles4 ,but the construction of feathering paddles is attended with great difficulty1 under the peculiar circumstances in which such wheels work4 ,any mechanism so complex that it could not be easily repaired when deranged1 with such engineering implements and skill ,pg#dge as can be obtained at sea1 would be attended with great objections2 and the efficiency of its propelling action would not compensate for the dangers which must attend upon the helpless state of a steamer1 deprived of her propelling agents4 ,feathering paddle-boards must necessarily have a motion independently of the motion of the wheel1 since any fixed position which could be given to them1 though it might be most favourable to their action in one position would not be so in their whole course through the water4 ,thus the paddle-board when at the lowest point should be in a vertical position1 or so placed that its plane1 if continued upwards1 would pass through the axis of the wheel4 ,in other positions1 however1 as it passes through the water1 it should present its upper edge1 not towards the axle of the wheel1 but towards a point above the highest point of the wheel4 ,the precise point to which the edge of the paddle-board should be directed is capable of mathematical determination4 ,but it will vary according to circumstances1 which depend on the motion of the vessel4 ,the progressive motion of the vessel1 independently of the wind or current1 must obviously be slower than the motion of the paddle-boards round the axle of the wheel2 since it is by the difference of these velocities that the re-action of the water is produced by which the vessel is propelled4 ,the proportion1 however1 between the progressive speed of the vessel and the rotative speed of the paddle-boards is not fixed3 it will vary with the shape and structure of the vessel1 and with its depth of immersion2 nevertheless it is upon this proportion that the manner in which the paddle-boards should shift their position must be determined4 ,if the progressive speed of the vessel were nearly equal to the rotative speed of the paddle-boards1 the latter should so shift their position that their upper edges should be presented to a point very little above the highest point of the wheel4 ,this is a state of things which could only take place in the case of a steamer of a small draught of water1 shallop-shaped1 and so constructed as to suffer little resistance from the fluid4 ,on the other hand1 the greater the depth of immersion1 and the less fine the lines of the ,pg#dgf vessel1 the greater will be the resistance in passing through the water1 and the greater will be the proportion which the rotative speed of the paddle-boards will bear to the progressive speed of the vessel4 ,in this latter case the independent motion of the paddle-boards should be such that their edges1 while in the water1 shall be presented towards a point considerably above the highest point of the paddle-wheel4 ,a vast number of ingenious mechanical contrivances have been invented and patented for accomplishing the object just explained4 ,some of these have failed from the circumstance of their inventors not clearly understanding what precise motion it was necessary to impart to the paddle-board3 others have failed from the complexity of the mechanism by which the desired effect was produced4 7#bbd47 ,in the year #ahbi a patent was granted to ,elijah ,galloway for a paddle-wheel with movable paddles1 which patent was purchased by ,mr4 ,william ,morgan1 who made various alterations in the mechanism1 not very materially departing from the principle of the invention4 ,illustration3 ,fig4 #acc4 ,this paddle-wheel is represented in fig4 #acc4 ,the contrivance may be shortly stated to consist in causing the wheel which bears the paddles to revolve on one centre1 and the radial arms which move the paddles to revolve on another centre4 ,let ,a ,b ,c ,d ,e ,f ,g ,h ,i ,k ,l be the polygonal circumference of the paddle-wheel1 formed of straight bars1 securely connected together at the extremities of the spokes or radii of the wheel which turns on the shaft which is worked by the engine2 the centre of this wheel being at ,o4 ,so far this wheel is similar to the common paddle-wheel2 but the paddle-boards are not1 as in the common wheel1 fixed at ,a ,b ,c1 c41 so as to be always directed to the centre ,o1 but are so placed that they are capable of turning on axles which are always horizontal1 so that they can take any angle with respect to the water which may be given to them4 ,from the centres1 or the line joining the pivots on which these paddle-boards turn1 there proceed short arms ,k1 firmly fixed to the paddle-boards at an angle of about #abj4 ,on a motion given to this arm ,k1 it will therefore give a corresponding angular motion to the paddle-board1 so as to make it turn on its pivots4 ,at ,pg#dgg the extremities of the several arms marked ,k is a pin or pivot1 to which the extremities of the radial arms ,l are severally attached1 so that the angle between each radial arm ,l and the short paddle-arm ,k is capable of being changed by any motion imparted to ,l2 the radial arms are connected at the other end with a centre1 round which they are capable of revolving4 ,now1 since the points ,a ,b ,c1 c41 which are the pivots on which the paddle-boards turn1 are moved in the circumference of a circle1 of which the centre is ,o1 they are always at the same distance from that point2 consequently they will continually vary their distance from the other centre ,p4 ,thus1 when a paddle-board arrives at that point of its revolution at which the centre round which it revolves lies precisely between it and the centre ,o1 its distance from the former centre is less than in any other position4 ,as it departs from that point1 its distance from that centre gradually increases until it arrives at the opposite point of its revolution1 where the centre ,o is exactly between it and the former centre2 then the distance of the paddle-board from the former centre is greatest4 ,pg#dgh ,this constant change of distance between each paddle-board and the centre ,p is accommodated by the variation of the angle between the radial arm ,l and the short paddle-board arm ,k2 as the paddle-board approaches the centre ,p this gradually diminishes2 and as the distance of the paddle-board increases1 the angle is likewise augmented4 ,this change in the magnitude of the angle1 which thus accommodates the varying position of the paddle-board with respect to the centre ,p1 will be observed in the figure4 ,the paddle-board ,d is nearest to ,p2 and it will be observed that the angle contained between ,l and ,k is there very acute2 at ,e the angle between ,l and ,k increases1 but is still acute2 at ,g it increases to a right angle2 at ,h it becomes obtuse2 and at ,k1 where it is most distant from the centre ,p1 it becomes most obtuse4 ,it again diminishes at ,k1 and becomes a right angle between ,a and ,b4 ,now this continual shifting of the direction of the short arm ,k is necessarily accompanied by an equivalent change of position in the paddle-board to which it is attached2 and the position of the second centre ,p is1 or may be1 so adjusted that this paddle-board1 as it enters the water and emerges from it1 shall be such as shall be most advantageous for propelling the vessel1 and therefore attended with less of that vibration which arises chiefly from the alternate depression and elevation of the water1 owing to the oblique action of the paddle-boards4 7#bbe47 ,in the year #ahcc1 ,mr4 ,field1 of the firm of ,maudslay and ,field1 constructed a paddle-wheel with fixed paddle-boards1 but each board being divided into several narrow slips arranged one a little behind the other1 as represented in fig4 #acd4 ,these divided boards he proposed to arrange in such cycloidal curves that they must all enter the water at the same place in immediate succession1 avoiding the shock produced by the entrance of the common board4 ,these split paddle-boards are as efficient in propelling when at the lowest point as the common paddle-boards1 and when they emerge the water escapes simultaneously from each narrow board1 and is not thrown up1 as is the case with common paddle-boards4#ci ,illustration3 ,fig4 #acd4 ,pg#dgi ,the theoretical effect of this wheel is the same as that of the common wheel1 and experience alone1 the result of which has not yet been obtained1 can prove its efficiency4 ,the number of bars1 or separate parts into which each paddle-board is divided1 has been very various4 ,when first introduced by ,mr4 ,galloway each board was divided into six or seven parts3 this was subsequently reduced1 and in the more recent wheels of this form constructed for the government vessels the paddle-boards consist only of two parts1 coming as near to the common wheel as is possible1 without altogether abandoning the principle of the split paddle4 7#bbf47 ,to obtain an approximate estimate of the extent to which steam-power is applicable to long sea-voyages1 it would be necessary to investigate the mutual relation which1 in the existing state of this application of steam-power1 exists between the capacity or tonnage of the vessel1 the magnitude1 weight1 and power1 of the machinery1 the available stowage for fuel1 and the average speed attainable in all ,pg#dhj weathers1 as well as the general purposes to which the vessel is to be appropriated1 whether for the transport of goods or merchandise1 or merely for despatches and passengers1 or for both of these combined4 ,that portion of the capacity of the vessel which is appropriated to the moving power consists of the space occupied by the machinery and the fuel4 ,the distribution of it between these must mainly depend on the length of the voyage which the vessel must make without receiving a fresh supply of coals4 ,if the trips be short1 and frequent relays of fuel can be obtained1 then the space allotted to the machinery may bear a greater proportion to that assigned to the fuel2 but in proportion as each uninterrupted stage of the voyage is increased1 a greater stock of coals will be necessary1 and a proportionally less space left for the machinery4 ,other things being the same1 therefore1 steam-vessels intended for long sea-voyages must be less powerful in proportion to their tonnage4 ,it will be apparent that every improvement which takes place in the application of the steam-engine to navigation will modify all these data on which such an investigation must depend4 ,every increased efficiency of fuel1 from whatever cause it may be derived1 will either increase the useful tonnage of the vessel1 or increase the length of the voyage of which it is capable4 ,various improvements have been and are still in progress1 by which this efficiency has undergone continual augmentation1 and voyages may now be accomplished with moderate economy and profit1 to which a few years since marine engines could not be applied with permanent advantage4 ,the average speed of steam-vessels has also undergone a gradual increase by such improvements4 ,during the four years ending ,june1 #ahcd1 it was found that the average rate of steaming obtained from fifty-one voyages made by the ,admiralty steamers between ,falmouth and ,corfu1 exclusive of stoppages1 was seven miles and a quarter an hour direct distance between port and port4 ,the vessels which performed this voyage varied from #cej to #gjj tons measured burden1 and were provided with engines varying from #ajj to #bjj horse-power1 with stowage for coals varying from #hj to #bdj tons4 ,the proportion of the power to the ,pg#dha tonnage varied from one horse to three tons to one horse to four tons4 ,thus the ,,messenger had a power of #bjj horses and measured #gcj tons2 the ,,flamer had a power of #abj horses1 and measured #ejj tons2 the ,,columbia had a power of #abj horses1 and measured #cfj tons4 ,in general it may be assumed that for the shortest class of trips1 such as those of the ,channel steamers1 the proportion of the power to the tonnage should be about one horse for every two tons2 but for the longer class of voyages1 the proportion of power to tonnage should be about one horse-power to from three to four tons measured tonnage4 ,these data1 however1 must be received as very rough approximations1 subject to considerable modifications in their application to particular vessels4 ,we have already stated that the nominal horse-power is itself extremely indefinite2 and if1 as is now customary in the longer class of voyages1 the steam be worked expansively1 then the nominal power almost ceases to have any definite relation to the actual performance of the vessel4 ,it is usual to calculate the horse-power by assuming a uniform pressure of steam upon the piston1 and1 consequently1 by excluding the consideration of the effect of expansion4 ,the most certain test of the amount of mechanical power exerted by the machinery would be obtained from the quantity of water actually transmitted in the form of steam from the boiler to the cylinder4 ,but the effect of this would also be influenced by the extent to which the expansive principle has been brought into operation4 ,from the reported performances of the larger class of steam-ships within the last few years1 it would appear that the average speed has been increased since the estimate above mentioned1 which was obtained in #ahcd2 and on comparing the consumption of fuel with the actual performance1 it would appear that the efficiency of fuel has also been considerably augmented4 ,no extensive course of accurate experiments or observations have1 however1 been obtained from which correct inferences may be drawn of the probable limits to which steam-navigation1 in its present state1 is capable of being extended4 ,the jealousy of rival companies has obstructed the inquiries of those who1 solicitous more ,pg#dhb for the general advancement of the art than for the success of individual enterprises1 have directed their attention to this question2 and it is hardly to be expected that sufficiently correct and extensive data can be obtained for this purpose4 7#bbg47 ,increased facility in the extension and application of steam-navigation is expected to arise from the substitution of iron for wood1 in the construction of vessels4 ,hitherto iron steamers have been chiefly confined to river-navigation2 but there appears no sufficient reason why their use should be thus limited4 ,for sea-voyages they offer many advantages2 they are not half the weight of vessels of equal tonnage constructed of wood2 and1 consequently1 with the same tonnage they will have less draught of water1 and therefore less resistance to the propelling power2 or1 with the same draught of water and the same resistance1 they will carry a proportionally heavier cargo4 ,the nature of their material renders them more stiff and unyielding than timber2 and they do not suffer that effect which is called hogging1 which arises from a slight alteration which takes place in the figure of a timber vessel in rolling1 accompanied by an alternate opening and closing of the seams4 ,iron vessels have the further advantage of being more proof against fracture upon rocks4 ,if a timber vessel strike1 a plank is broken1 and a chasm opened in her many times greater than the point of rock which produces the concussion4 ,if an iron vessel strike1 she will either merely receive a dinge1 or be pierced by a hole equal in size to the point of rock which she encounters4 ,some examples of the strength of iron vessels were given by ,mr4 ,macgregor ,laird1 in his evidence before the ,committee of the ,commons on ,steam ,navigation1 among which the following may be mentioned3--,an iron vessel1 called the ,,alburkah1 in one of their experimental trials got aground1 and lay upon her anchor3 in a wooden vessel the anchor would probably have pierced her bottom2 in this case1 however1 the bottom was only dinged4 ,an iron vessel1 built for the ,irish ,inland ,navigation ,company1 was being towed across ,lough ,derg in a gale of wind1 when the towing rope broke1 and she was driven upon rocks1 on which she bumped for a considerable time ,pg#dhc without any injury4 ,a wooden vessel would in this case have gone to pieces4 ,a further advantage of iron vessels 7which in warm climates is deserving of consideration7 is their greater coolness and perfect freedom from vermin4 ,iron steam-vessels on a very large scale are now in preparation in the ports of ,liverpool and ,bristol1 intended for long sea-voyages4 ,the largest vessel of this description which has yet been projected is stated to be in preparation for the voyage between ,bristol and ,new ,york1 by the company who have established the steam-ship called the ,great ,western1 plying between these places4 ,several projects for the extension of steam-navigation to voyages of considerable length have lately been entertained both by the public and by the legislature1 and have imparted to every attempt to improve steam-navigation increased interest4 ,a committee of the ,house of ,commons collected evidence and made a report in the last session in favour of an experiment to establish a line of steam-communication between ,great ,britain and ,india4 ,two routes have been suggested by the committee1 each being a continuation of the line of ,admiralty steam-packets already established to ,malta and the ,ionian ,isles4 ,one of the routes proposed is through ,egypt1 the ,red ,sea1 and across the ,indian ,ocean to ,bombay1 or some of the other presidencies2 the other across the north part of ,syria to the banks of the ,euphrates1 by that river to the ,persian ,gulf1 and from thence to ,bombay4 ,each of these routes will be attended with peculiar difficulties1 and in both a long sea-voyage will be encountered4 ,in the route by the ,red ,sea it is proposed to establish steamers between ,malta and ,alexandria 7eight hundred and sixty miles74 ,a steamer of four hundred tons' burden and one hundred horse-power would perform this voyage1 upon an average of all weathers incident to the situation1 in from five to six days1 consuming ten tons of coal per day4 ,but it is probable that it might be found more advantageous to establish a higher ratio between the power and the tonnage4 ,from ,alexandria the transit might be effected by land across the isthmus to ,suez--a journey of from four to five days--by caravan and camels2 or the transit might be made either ,pg#dhd by land or water from ,alexandria to ,cairo1 a distance of one hundred and seventy-three miles2 and from ,cairo to ,suez1 ninety-three miles1 across the desert1 in about five days4 ,at ,suez would be a station for steamers1 and the ,red ,sea would be traversed in three runs or more4 ,if necessary1 stations for coals might be established at ,cosseir1 ,judda1 ,mocha1 and finally at ,aden or at ,socatra--an island immediately beyond the mouth of the ,red ,sea1 in the ,indian ,ocean2 the run from ,suez to ,cosseir would be three hundred miles--somewhat more than twice the distance from ,liverpool to ,dublin4 ,from ,cosseir to ,judda1 four hundred and fifty miles2 from ,judda to ,mocha1 five hundred and seventeen miles2 and from ,mocha to ,socatra1 six hundred and thirty-two miles4 ,it is evident that all this would1 without difficulty1 in the most unfavourable weather1 fall within the present powers of steam-navigation4 ,if the terminus of the passage be ,bombay1 the run from ,socatra to ,bombay will be twelve hundred miles1 which would be from six to eight days' steaming4 ,the whole passage from ,alexandria to ,bombay1 allowing three days for delay between ,suez and ,bombay1 would be twenty-six days3 the time from ,bombay to ,malta would therefore be about thirty-three days2 and adding fourteen days to this for the transit from ,malta to ,england1 we should have a total of forty-seven days from ,london to ,bombay1 or about seven weeks4 ,if the terminus proposed were ,calcutta1 the course from ,socatra would be one thousand two hundred and fifty miles south-east to the ,maldives1 where a station for coals would be established4 ,this distance would be equal to that from ,socatra to ,bombay4 ,from the ,maldives1 a run of four hundred miles would reach the southern point of ,ceylon1 called the ,point de ,galle1 which is the best harbour 7,bombay excepted7 in ,british ,india3 from the ,point de ,galle1 a run of six hundred miles will reach ,madras1 and from ,madras to ,calcutta would be a run of about six hundred miles4 ,the voyage from ,london to ,calcutta would be performed in about sixty days4 ,at a certain season of the year there exists a powerful physical opponent to the transit from ,india to ,suez3 from ,pg#dhe the middle of ,june until the end of ,september1 the south-west monsoon blows with unabated force across the ,indian ,ocean1 and more particularly between ,socatra and ,bombay4 ,this wind is so violent as to leave it barely possible for the most powerful steam-packet to make head against it1 and the voyage could not be accomplished without serious wear and tear upon the vessels during these months4 ,the attention of parliament has therefore been directed to another line of communication1 not liable to this difficulty3 it is proposed to establish a line of steamers from ,bombay through the ,persian ,gulf to the ,euphrates4 ,the run from ,bombay to a place called ,muscat1 on the southern shore of the gulf1 would be eight hundred and forty miles in a north-west direction1 and therefore not opposed to the south-west monsoon4 ,from ,muscat to ,bassidore1 a point upon the northern coast of the strait at the mouth of the ,persian ,gulf1 would be a run of two hundred and fifty-five miles2 from ,bassidore to ,bushire1 another point on the eastern coast of the ,persian ,gulf1 would be a run of three hundred miles2 and from ,bushire to the mouth of the ,euphrates1 would be one hundred and twenty miles4 ,it is evident that the longest of these runs would offer no more difficulty than the passage from ,malta to ,alexandria4 ,from ,bussora1 near the mouth of the ,euphrates1 to ,bir1 a town upon its left bank near ,aleppo1 would be one thousand one hundred and forty-three miles1 throughout which there are no physical obstacles to the river-navigation which may not be overcome4 ,some difficulties arise from the wild and savage character of the tribes who occupy its banks4 ,it is1 however1 thought that by proper measures1 and securing the co-operation of the pacha of ,egypt1 any serious obstruction from this cause may be removed4 ,from ,bir1 by ,aleppo1 to ,scanderoon1 a port upon the ,mediterranean1 opposite ,cyprus1 is a land-journey1 said to be attended with some difficulty1 but not of great length2 and from ,scanderoon to ,malta is about the same distance as between the latter place and ,alexandria4 ,it is calculated that the time from ,london to ,bombay by the ,euphrates--supposing the passage to be successfully ,pg#dhf established--would be a few days shorter than by ,egypt and the ,red ,sea4 ,whichever of these courses may be adopted1 it is clear that the difficulties1 so far as the powers of the steam engine are concerned1 lie in the one case between ,socatra and ,bombay1 or between ,socatra and the ,maldives1 and in the other case between ,bombay and ,muscat4 ,this1 however1 has already been encountered and overcome on four several voyages by the ,,hugh ,,lindsay steamer from ,bombay to ,suez3 that vessel encountered a still longer run on these several trips1 by going1 not to ,socatra1 but to ,aden1 a point on the coast of ,arabia1 near the ,straits of ,babel ,mandeb1 being a run of one thousand six hundred and forty-one miles1 which she performed in ten days and nineteen hours4 ,the same trip has since been repeatedly made by other steamers2 and1 in the present improved state of steam navigation1 no insurmountable obstacles are opposed to their passage4 ,illustration ,,footnotes3 #ce ,this cut is taken from the plate of the engine of the ,red ,rover1 manufactured by ,boulton and ,watt1 given in the last edition of ,tredgold on the ,steam ,engine4 #cf ,appendix ,i41 on ,marine ,boilers1 by ,j4 ,dinnen2 ,tredgold on the ,steam ,engine1 second edition4 #cg ,tredgold on the ,steam ,engine1 ,appendix1 ,i4 p4 #aga4 #ch ,engines on a very large scale constructed upon this principle are said to be in process of construction for an iron steam-vessel of great tonnage1 which is in preparation for the ,new ,york passage4 ,it is said that the cylinders of these engines will be one hundred and twenty inches in diameter4 #ci ,a patent was subsequently taken out for these by ,mr4 ,galloway4 ,mr4 ,field did not persevere in its use at the time he invented it4 ,it has1 however1 been more generally adopted since the date of ,galloway's patent4 ,pg#dhg ,illustration ,,chap4 ,,xiv4 ,,american ,,steam ,,navigation4 ,,steam ,,navigation ,,first ,,established ,,in ,,america4 -- ,,circumstances ,,which ,,led ,,to ,,it4 -- ,,fitch ,,and ,,rumsey4 -- ,,stevens ,,of ,,hoboken4 -- ,,livingstone ,,and ,,fulton4 -- ,,experiments ,,on ,,the ,,seine4 -- ,,fulton',s ,,first ,,boat4 -- ,,the ,,hudson ,,navigated ,,by ,,steam4 -- ,,extension ,,and ,,improvement ,,of ,,river ,,navigation4 -- ,,speed ,,of ,,american ,,steamers4 -- ,,difference ,,between ,,them ,,and ,,european ,,steamers4 -- ,,sea-,,going ,,american ,,steamers4 -- ,,american ,,paddle-,,wheels4 -- ,,lake ,,steamers4 -- ,,the ,,missisippi ,,and ,,its ,,tributaries4 -- ,,steamers ,,navigating ,,it4 -- ,,their ,,structure ,,and ,,machinery4 -- ,,new ,,orleans ,,harbour4 -- ,,steam ,,tugs4 7#bbh47 ,the credit of having afforded the first practical solution of the problem to apply the steam engine to the propulsion of ships1 undoubtedly belongs to the people of the ,united ,states of ,america4 ,the geographical character of their vast country1 not less than the sanguine and enterprising spirit of the nation1 contributed to this4 ,a coast of four thousand miles in extent1 stretching from the ,gulf of ,st4 ,lawrence to the embouchures of the ,mississippi1 indented and ,pg#dhh serrated in every part with natural harbours and sheltered bays1 and fringed with islands forming sounds--capes1 and promontories enclosing arms of the sea1 in which the waters are free from the roll of the ocean1 and take the placid character of lakes1--rivers of imposing magnitude1 navigable for vessels of the largest class1 for many hundreds and in some instances for many thousands of miles1 affording access to the innermost population of an empire1 whose area vastly exceeds the whole ,european continent1--chains of lakes composed of the most extensive bodies of fresh water in the known world1--and this extensive continent peopled by races carrying with them the habits and feelings together with much of the skill and knowledge of the most civilized parts of the globe1 endowed also with that inextinguishable spirit of enterprise which ever belongs to an emigrant people1--form a combination of circumstances more than sufficient to account for the fact of this nation snatching from ,england1 the parent of the steam engine1 the honour of first bringing into practical operation one of the most important--if indeed it be not altogether the most important--of the many applications of that machine to the uses of life4 ,the circumstances which rendered these extensive tracts of inland and coast navigation eminently suited to the application of steam power1 formed so many obstructions and difficulties to the application of other more ordinary means of locomotion on water4 ,the sheltered bays and sounds which offered a smooth and undisturbed surface to the action of the infant steamer argued the absence of that element which gave effect to the sails and rigging of the wind-propelled ship1 and the rapid currents of the gigantic streams formed by the drainage of this great continent1 though facilitating access to the coast1 rendered the oar powerless in the ascent4 7#bbi47 ,the first great discovery of ,watt had scarcely been realized in practice by the construction of the single-acting steam-engine1 when the speculative and enterprising ,americans conceived the project of applying it as a moving power in their inland navigation4 ,so early as the year #aghc ,pg#dhi ,fitch and ,rumsey made attempts to apply the single-acting engine to the propulsion of vessels1 and their failure is said to have arisen more from the inherent defects of that machine in reference to this application of it1 than from any want of ingenuity or mechanical skill on their parts4 ,in #agia1 ,john ,stevens of ,hoboken commenced his experiments on steam navigation1 which were continued for sixteen years2 during a part of this period he was assisted by ,livingstone 7who was subsequently instrumental in advancing the views of ,fulton71 and by ,roosevelt4 ,these projectors had1 at that time also1 the assistance and advice of ,brunel1 since so celebrated for the invention of the block machinery1 and the construction of the ,thames ,tunnel4 ,their proceedings were interrupted by the appointment of ,livingstone as ,american ,minister at ,paris1 under the ,consular ,government4 ,at ,paris1 ,livingstone met ,fulton1 who had been previously engaged in similar speculations1 and being struck with his mechanical skill1 and the soundness of his views1 joined him in causing a series of experiments to be made1 which were accordingly carried on at ,plombires1 and subsequently on a still more extensive scale on the ,seine1 near ,paris4 ,having by this course of experiments obtained proofs of the efficiency of ,fulton's projects1 sufficient to satisfy the mind of ,livingstone1 he agreed to obtain for ,fulton the funds necessary to construct a steam boat on a large scale1 to be worked upon the ,hudson4 ,it was decided1 in order to give the project the best chance of success1 to obtain the machinery from ,bolton and ,watt4 ,in #ahjc1 ,fulton accordingly made drawings of the engines intended for this first steamer1 which were sent to ,soho1 with an order for their construction4 ,fulton1 meanwhile1 repaired to ,america1 to superintend the construction of the boat4 ,the delays incidental to these proceedings retarded the completion of the boat and machinery until the year #ahjg1 when all was completed1 and the first successful experiment made at ,new ,york4 ,the vessel was placed1 for regular work1 to ply between ,new ,york and ,albany1 in the beginning of #ahjh2 and1 from that time to the present1 this river has been the theatre of the most ,pg#dij remarkable series of experiments on locomotion on water which has ever been presented in the history of navigation4 7#bcj47 ,the form and arrangement of this first marine engine was1 in many respects1 similar to that which is still generally used for marine purposes4 ,the cold water cistern was abandoned1 and an increased condensing power obtained by enlarging the condenser4 ,it was usual to make the condenser half the diameter of the cylinder1 and half its length1 and therefore one eighth of its capacity4 ,the condenser1 however1 was now made of the same diameter as the cylinder1 being still half its length2 its capacity therefore1 instead of being only an eighth1 was half of the cylinder2 the condensing jet was admitted by a pipe passing through the bottom of the vessel4 ,as in the present marine engines1 two working beams were provided1 one at either side of the cylinder2 but in order to provide against the difficulties which might arise in the adaptation of machinery made at ,birmingham to a vessel made at ,new ,york1 beams were constructed in the form of an inverted 1 the working arms being twofold1 one horizontal and the other vertical1 so that the connecting rod might be carried from the crank1 either downwards1 to the end of the horizontal arm1 or horizontally1 to the end of the vertical arm4 ,in fact there was a choice1 to use either a straight beam1 or a bell-crank4 ,the latter was that which was adopted in this instance4 ,the paddle-shaft1 driven by the crank1 passed across the vessel1 and had the paddle-wheels keyed upon it as at present2 and in order to equalise the effect of the engine spur wheels were also placed on the paddle-shaft1 by which pinions were driven1 placed upon an axle1 which carried a fly-wheel4 ,the speed attained by this steam boat1 when it first began to ply upon the river1 did not exceed four miles an hour1 but by a series of improvements its rate of motion was soon increased to six miles an hour4 ,in the steam boats subsequently constructed by ,fulton a greater speed was attained2 but in the latest vessels built by him he did not exceed a speed of nine miles an hour1 which he considered to be the greatest that could be advantageously obtained4 ,while ,fulton was making his plans1 and engaged in the ,pg#dia construction of his first boat1 ,mr4 ,stevens of ,hoboken1 already mentioned1 was engaged in a like project1 and completed a vessel1 to be propelled by a steam engine1 within a few weeks after the first successful voyage of ,fulton4 ,stevens was likewise completely successful2 but the exclusive privilege of navigating the ,hudson by steam having been granted to ,fulton by an act of ,congress1 ,stevens was compelled to select another theatre for his operations1 and he accordingly sent his steam boat by sea to ,philadelphia1 to navigate the ,delaware1 thus securing for himself the honour of having made the first sea voyage by steam4 ,fulton did not long retain the monopoly of the steam navigation of the ,hudson4 ,fortunately for the progress of steam navigation1 the act conferring upon him that privilege was declared unconstitutional2 and the navigation of that noble river was thrown open to the spirit and enterprise of ,american genius4 ,the number of passengers conveyed upon it became enormous beyond all precedent1 and inducements of the strongest kind were accordingly held out to the improvement of its navigation4 ,the distance between ,new ,york and ,albany1 ascertained by a late survey to be one hundred and twenty-five geographical miles by water1 had been performed by ,fulton's boats occasionally in fifteen or sixteen hours1 being at the rate of about eight miles an hour1 including stoppages4 ,it became a great object to increase the speed of this trip1 so that it might at all times of the year be performed between sunrise and sunset4 ,robert ,l4 ,stevens1 the son of the person of that name already mentioned1 immediately after the abolition of ,fulton's monopoly1 placed on the river a vessel which had been built for the ,delaware1 which easily performed the passage in twelve hours1 being at the rate of nearly ten and a half geographical miles an hour4 ,by this increase of speed the improved boats so entirely monopolised the day work upon the river1 that the former steamers were either converted into steam tugs to draw barges laden with goods1 or used for night trips between ,new ,york and ,albany4 ,in the night trips the saving of one or two hours was immaterial1 it being sufficient that the vessel which left the one port at night should reach the other in the morning4 ,pg#dib ,the river ,hudson rises near ,lake ,champlain1 the easternmost of the great chain of lakes or inland seas which extend from east to west across the northern boundary of the ,united ,states4 ,the river follows nearly a straight course southwards for two hundred and fifty miles1 and empties itself into the sea at ,new ,york4 ,the influence of the tide is felt as far as ,albany1 above which the stream begins to contract4 ,although this river in magnitude and extent is by no means equal to several others which intersect the ,states1 it is nevertheless rendered an object of great interest by reason of the importance and extent of its trade4 ,the produce of the state of ,new ,york and that of the banks of the great ,lakes ,ontario and ,erie are transported by it to the capital2 and one of the most extensive and populous districts of the ,united ,states is supplied with the necessary imports by its waters4 ,a large fleet of vessels is constantly engaged in its navigation2 nor is the tardy but picturesque sailing vessel as yet excluded by the more rapid steamers4 ,the current of the ,hudson is said to average nearly three miles an hour2 but as the ebb and flow of the tide are felt as far as ,albany1 the passage of the steamers between that place and ,new ,york may be regarded as equally affected by currents in both directions1 or nearly so4 ,the passage therefore1 whether in ascending or descending the river1 is made nearly in the same time4 7#bca47 ,the prevalence of smooth water navigation1 whether on the surfaces of rivers or in sheltered bays and sounds1 has invested the problem of steam navigation in ,america with conditions so entirely distinct and different from those under which the same problem presents itself to the ,european engineer1 that any comparison of the performance of vessels1 whether with regard to speed or the absorption of power in the two cases1 must be utterly fallacious4 ,in ,europe a steamer is almost invariably a vessel designed to encounter the agitated surface of an open sea1 and is accordingly constructed upon principles of suitable strength and stability4 ,it is likewise supplied with rigging and with sails1 to be used in aid of the mechanical power1 and manned and commanded by experienced seamen2 in fact1 it is a combination of a nautical and mechanical structure4 ,in ,america1 on the other hand1 ,pg#dic with the exception of the vessels which navigate the great northern lakes1 the steamers are structures exclusively mechanical1 being designed for smooth water4 ,they require no other strength or stability than that which is sufficient to enable them to float and to bear a progressive motion through the water4 ,their mould is conceived with an exclusive view to speed2 they are therefore slender and weak in their build1 of great length in proportion to their width1 and having a very small draught of water4 ,in fact1 they approach in their form to that of a ,thames wherry on a very large scale4 ,the position and form of the machinery is likewise affected by these conditions4 ,without the necessity of being protected from a rough sea1 it is placed on the deck in an elevated position4 ,the cylinders of large diameter and short stroke invariably used in ,europe are unknown in ,america1 and the proportions are reversed1 a small diameter and stroke of great length being invariably adopted4 ,it is rarely that two engines are used4 ,a single engine1 placed in the centre of the deck1 with a cylinder from forty to sixty inches' diameter1 and from eight to ten foot stroke1 drives paddle-wheels from twenty-one to twenty-five feet in diameter1 producing from twenty-five to thirty revolutions per minute4 ,the great magnitude of the paddle-wheels and the velocity imparted to them enable them to perform the office of fly-wheels1 and to carry the engine round its centres1 not however without a perceptible inequality of motion1 which gives to the ,american steamer an effect like that of a row boat advancing by starts with each stroke of the piston4 ,the length of stroke adopted in these engines enables them to apply with great effect the expansive principle1 which is almost universally used1 the steam being generally cut off at half stroke4 ,the steamers which navigate the ,hudson are vessels of considerable magnitude1 splendidly fitted up for the accommodation of passengers2 they vary from one hundred and eighty to two hundred and forty feet in length1 and from twenty to thirty feet in width of beam4 ,in the following table is given the particulars of nine steamers plying on this river1 taken from ,pg#did the work of ,mr4 ,stevenson1 and from the paper of ,mr4 ,renwick1 inserted in the last edition of ,tredgold3-- ---------------------------------------- ---------------------------------------- ---------------------------------------- -- ,length ,breadth ,draft ,drain ,length ,names4 of of of of of ,deck4 ,beam4 ,water4 ,wheel4 ,paddles4 ---------------------------------------- ---------------------------------------- ---------------------------------------- -- ,ft4 ,ft4 ,ft4 ,ft4 ,ft4 ,dewit ,clinton #bcj #bh #ee #ba #acg ,champlain #ahj #bg #ee #bb #ae ,erie #ahj #bg #ee #bb #ae ,north ,america #bjj #cj #e #ba #ac ,independence #adh #bf ---- ---- ---- ,albany #bab #bf ---- #bde #ad ,swallow #bcc #bbe #cge #bd #aa ,rochester #bjj #be #cge #bce #aj ,utica #bjj #ba #ce #bb #ie ---------------------------------------- ---------------------------------------- ---------------------------------------- -- ---------------------------------------- ---------------------------------------- ---------------------------------------- ------------------ ,depth ,number ,drain ,length ,number ,part of ,names4 of of of of of ,stroke ,paddles ,engines ,cylinder ,stroke ,revs at which it is cut off4 ---------------------------------------- ---------------------------------------- ---------------------------------------- ------------------ ,in4 ,in4 ,ft4 ,dewit ,clinton #cf #a #fe #aj #bi #c_/d ,champlain #cd #b #dd #aj #bge #a_/b ,erie #cd #b #dd #aj #bge #a_/b ,north ,america #cj #b #dde #h #bd #a_/b ,independence ---- #a #dd #aj ,albany #cj #a #fe ---- #ai ,swallow #cj #a #df ---- #bg ,rochester #bd #a #dc #aj #bh ,utica #bd #a #ci #aj ---------------------------------------- ---------------------------------------- ---------------------------------------- ------------------ ,none of these vessels have either masts or rigging1 and consequently never derive any propelling power except from the engines3 they are neither manned nor commanded by persons having any knowledge of navigation3 the works that are visible above their decks are the beam and framing of the engine1 and the chimneys4 ,the engines used for steamers on the ,hudson1 and other great rivers and bays on the eastern coast of ,america1 are most commonly condensing engines1 but they nevertheless work with steam of very high pressure1 being seldom less than twenty-five pounds per square inch1 and sometimes as much as fifty4 ,by reference to the preceding table it will be seen1 that the velocity of the piston greatly exceeds the limit generally observed in ,europe4 ,it is customary in ,european marine engines to limit the speed of the piston to about two hundred and twenty feet per minute4 ,even the piston of a locomotive engine does not much exceed the rate of three hundred feet per minute4 ,in the ,american steamers1 however1 the pistons commonly move at the rate of from five to six hundred feet per minute1 while the circumference of the paddle-wheels are driven at the rate of from twenty to twenty-two miles an hour4 ,pg#die ,illustration3 ,fig4 #ace4 ,the hulls of these boats are formed with a perfectly flat bottom and perpendicular sides1 rounded at the angles1 as represented in fig4 #ace4 ,at the bow1 or cutwater1 they are made very sharp1 and the deck projects to a great distance over the sides4 ,the weight of the machinery is distributed over an extensive surface of the bottom of this feeble structure1 by means of a frame-work of substantial carpentry to which it is attached4 ,at the height of from four to six feet above the water-line is placed the deck1 which is a platform1 having the shape of a very elongated ellipse4 ,the extremities of its longer axis are supported by the sternpost and the cutwater1 and its sides expand in gentle curves on either hand to a considerable distance beyond the limits of the hull2 those parts of the deck thus overhanging the water are called the wheel guards4 ,beneath the first deck is the saloon1 or dining-room1 which also1 as is usual in ,european steamers1 forms the gentlemen's sleeping-room4 ,it usually extends from end to end of the vessel4 ,the middle of the first deck is occupied by the engine1 boilers1 furnaces1 and chimneys1 of which latter there are generally two4 ,between the chimneys and the stern1 above the first deck1 is constructed the ladies' cabin1 which is covered by the second deck1 called the promenade deck4 ,the great length of these boats and the elevation of the cabins render it impossible for a steersman at the stern to see ahead1 and they are1 consequently1 steered from the bow2 the wheel placed there communicating with the helm at the stern1 by chains or rods carried along the sides of the boat4 ,until a recent period1 the wheel was connected with the stern by ropes1 but some fatal accidents1 produced by fire1 ,pg#dif in which these ropes were burnt1 and the steersman lost all power to guide the vessel1 caused metal rods or chains to be substituted4 7#bcb47 ,the paddle-wheels universally used in ,american steam-boats are formed1 as if by the combination of two or more common paddle-wheels1 placed one outside the other1 on the same axle1 but so that the paddle boards of each may have an intermediate position between those of the adjacent one1 as represented in fig4 #acf4 ,illustration3 ,fig4 #acf4 ,the spokes1 which are bolted to cast-iron flanges1 are of wood4 ,these flanges1 to which they are so bolted1 are keyed upon the paddle shaft4 ,the outer extremities of the spokes are attached to circular bands or hoops of iron1 surrounding the wheel2 and the paddle boards1 which are formed of hard wood1 are bolted to the spokes4 ,the wheels thus constructed1 sometimes consist of three1 and not unfrequently four1 independent circles of paddle boards1 placed one beside the other1 and so adjusted in their position1 that the boards of no two divisions shall correspond4 ,the great magnitude of the paddle-wheels1 and the circumstance of the navigation being carried on1 for the most part1 in smooth water1 have rendered unnecessary1 in ,america1 the adoption of any of those expedients for neutralising the effects of the oblique action of the paddles1 which have been tried1 but hitherto with so little success1 in ,europe4 7#bcc47 ,sea-going steamers are not numerous in ,america1 the chief of them being those which ply between ,new ,york and ,providence1 and between ,new ,york and ,charleston4 ,these vessels1 however1 do not resemble the sea-going steamers of ,europe as closely as might be expected2 and to those who are accustomed to the latter1 the sea-going ,pg#dig steamers of ,america can hardly be regarded as safe means of transport4 ,in the following ,table is given the dimensions of five of these vessels1 all plying between ,new ,york and ,providence3-- ---------------------------------------- ---------------------------------------- ---------------------------------------- ---- ,length ,breadth ,draft ,diameter ,length ,names4 of of of of ,deck4 ,beam4 ,wheel4 ,paddles4 ---------------------------------------- ---------------------------------------- ---------------------------------------- ---- ,ft4 ,ft4 ,ft4 ,ft4 ,ft4 ,providence #ahj #bg #i ---- ---- ,lexington #bjg #ba ---- #bc #i ,narragansett #baj #bf #e #be #aa ,massachusetts #bjj #bie #he #bb #aj ,rhode ,island #baj #bf #fe #bd #aa ---------------------------------------- ---------------------------------------- ---------------------------------------- ---- ---------------------------------------- ---------------------------------------- ---------------------------------------- ------------------ ,depth ,number ,diameter ,length ,number ,part of ,names4 of of of of of ,stroke ,paddles ,engines ,cylinder ,stroke ,revs at which it is cut off4 ---------------------------------------- ---------------------------------------- ---------------------------------------- ------------------ ,in4 ,in4 ,ft4 ,providence ---- #a #aj #fe ,lexington #cj #a #aa #dh #bd ,narragansett #cj #a #fj #ab #b #a_/b ,massachusetts #bh #b #dd #h #bf ,rhode ,island #cj #a #aa #fj #ba ---------------------------------------- ---------------------------------------- ---------------------------------------- ------------------ ,the ,narragansett1 the finest of these vessels1 is built of oak1 strengthened by diagonal straps or ties of iron1 by which her timbers are connected2 she is driven by a condensing engine1 and has two boilers1 exposing about three thousand square feet of surface to the fire4 ,the steam is maintained at a pressure of from twenty to twenty-five lbs4 per square inch3 the cylinder is horizontal4 ,the cabins of these sea-boats are of great magnitude1 and afford excellent accommodation for passengers1 containing generally four hundred berths4 ,in the ,massachusetts the chief cabin is one hundred and sixty feet long1 twenty-two feet wide1 and twelve feet in height1 its vast extent being uninterrupted by pillars or any other obstruction4 ,i have dined1 says ,mr4 ,stevenson1 with one hundred and seventy-five persons in this cabin1 and1 notwithstanding this numerous assembly1 the tables1 which were arranged in two parallel rows1 extending from one end of the cabin to the other1 were far from being fully occupied1 the attendance was good1 and every thing was conducted with perfect regularity and order4 ,there are one hundred and twelve fixed berths ranged round this cabin1 and one hundred temporary berths can be erected in the middle of the floor3 besides these there are sixty fixed berths in the ladies' cabin1 and several temporary sleeping ,pg#dih places can be erected in it also4 ,the cabin of the ,massachusetts is by no means the largest in the ,united ,states4 ,some steamers have cabins upwards of one hundred and seventy-five feet in length4 ,those large saloons are lighted by ,argand lamps1 suspended from the ceiling1 and their appearance1 when brilliantly lighted up and filled with company1 is very remarkable4 ,the passengers generally arrange themselves in parties at the numerous small tables into which the large tables are converted after dinner1 and engage in different amusements4 ,the scene resembles much more the coffee-room of some great hotel than the cabin of a floating vessel4 7#bcd47 ,nothing has excited more surprise among engineers and others interested in steam navigation in ,europe1 than the statements which have been so generally and so confidently made of the speed attained by ,american steamers4 ,this astonishment is due to several causes1 the chief of which is the omission of all notice of the great difference between the structure and operation of the ,american steamers and the nature of the navigation in which they are engaged1 compared with the structure and operation of1 and the navigation in which ,european steamers are employed3 as well might the performance of a ,thames wherry1 or one of the fly-boats on the northern canals1 be compared with that of the ,great ,western1 or the ,british ,queen4 ,the statements alluded to all have reference to steamers navigating the ,hudson between ,new ,york and ,albany1 the form and structure of which we have already described2 and doubtless the greatest speed ever attained on the surface of water has been exhibited in the passages of these vessels4 ,mr4 ,stevenson states1 that exclusive of the time lost in stoppages1 the voyage between ,new ,york and ,albany is usually made in ten hours4 ,dr4 ,renwick1 however1 who has probably more extensive opportunities of observation1 states1 that the average time1 exclusive of stoppages1 is ten hours and a half4 ,the distance being #abeah geographical miles1 the average rate would therefore be #aa-i_/aj miles per hour4 ,if it be observed that the average rate of some of the best sea-going steamers in ,europe obtained from experiments ,pg#dii and observations made by myself1 more than three years ago1 showed a rate of steaming little less than ten geographical miles per hour1 and that since that time considerable improvements in steam navigation have been made1 and further1 that these performances were made under exposure to all the disadvantages of an open sea1 the difference between them and the performance of the ,american river steamers will cease to create astonishment4 ,dr4 ,renwick states that he made1 in a boat called the ,new ,philadelphia1 one of the most remarkable passages ever performed4 ,he left ,new ,york at five in the afternoon1 with the first of the flood1 and landed at ,catskill1 distant #ieh geographical miles from ,new ,york1 at a quarter before twelve4 ,passengers were landed and taken in at seven intermediate points3 the rate1 including stoppages1 was therefore #adb miles per hour2 and if half an hour be allowed for stoppages1 the actual average rate of motion would be fifteen miles and three quarters an hour4 ,as the current1 which in this case was with the course of the vessel1 did not exceed three miles and a half an hour1 the absolute velocity through the water would have been somewhat under twelve miles an hour4 ,this speed is nearly the same as the speed obtained from taking the average time of the voyages between ,new ,york and ,albany at ten hours and a half2 it would therefore appear that the great speed attained in this trip must have been chiefly1 if not altogether1 owing to the effect of the current4 7#bce47 ,the steamers which navigate the great northern lakes differ so little in their construction and appearance from the ,european steam-boats1 that it will not be necessary here to devote any considerable space to an account of them4 ,these vessels were introduced on the lakes at about the same time that steamers were first introduced on the ,clyde4 ,these steamers are strongly built vessels1 supplied with sails and rigging1 and propelled by powerful engines4 ,the largest in #ahcg1 when ,mr4 ,stevenson visited the ,states1 was the ,james ,madison4 ,this vessel was one hundred and eighty-one feet in length on the deck1 thirty feet in breadth of beam1 and twelve feet six inches in depth of hold3 her draught of water was ten feet1 and her measured capacity seven hundred ,pg#ejj tons4 ,she plyed between ,buffalo on ,lake ,erie and ,chicago on ,lake ,michigan1 a distance of nine hundred and fifty miles4 ,the severe storms and formidable sea encountered on the lakes render necessary for the navigation1 vessels in all respects as strong and powerful as those which navigate the open ocean4 7#bcf47 ,by far the most remarkable and important of all the ,american rivers is the ,mississippi and its tributaries4 ,that part of the ,american continent which extends from the southern shores of the great northern lakes to the northern shores of the ,gulf of ,mexico1 is watered by these great streams4 ,the main stream of the ,mississippi has its fountains in the tract of country lying north of the ,illinois and east of ,lake ,michigan1 in latitude forty-three degrees4 ,at about latitude thirty-nine degrees1 a little north of ,st4 ,louis1 it receives the waters of the ,missouri1 and further south1 at the latitude of thirty-seven degrees1 the ,ohio flows into it1 after traversing five degrees of longitude and four of latitude1 and winding its way from the ,alleghany range through several of the states1 and forming a navigable communication with numerous important towns of the ,union1 among which may be mentioned ,pittsburg1 ,cincinnati1 ,frankfort1 ,lexington1 and ,louisville4 ,the main stream of the ,mississippi1 after receiving the waters of the ,arkansas1 and numerous other minor tributaries1 flows into the ,gulf of ,mexico by four mouths4 ,the main stream of the ,mississippi1 independently of its tributaries1 forms an unbroken course of inland navigation for a distance of nearly two thousand three hundred miles4 ,its width1 through a distance of one thousand one hundred miles from its mouth1 is not less than half a mile1 and its average depth a hundred feet4 ,the ,ohio1 its chief eastern tributary1 flowing into it at a distance of about a thousand miles from its mouth1 traverses also about the same extent of country1 and is navigable throughout the whole of that extent4 ,this river also has several navigable tributaries of considerable extent1 among which may be mentioned the ,muskingum1 navigable for one hundred and twenty miles2 the ,miami1 navigable for seventy-five miles2 the ,scioto1 navigable for one hundred and twenty ,pg#eja miles2 the ,tennessee1 navigable for two hundred and fifty miles2 the ,cumberland1 navigable for four hundred and forty miles2 the ,kentucky1 navigable for one hundred and thirty miles2 and the ,green ,river1 navigable for one hundred and fifty miles4 ,the total length of the ,ohio and its tributaries is estimated at above seven thousand miles4 7#bcg47 ,steam-boats were introduced on the ,mississippi about the year #ahab1 the period of their first introduction in ,europe2 and their increase has been rapid beyond all precedent4 ,in the year #ahca there were one hundred and ninety-eight steamers plying on its waters2 and the number in #ahcg amounted to nearly four hundred4 ,these vessels are built chiefly on the banks of the ,ohio1 at the towns of ,pittsburg and ,cincinnati1 at distances of about two thousand miles from the mouth of the river they are intended to navigate4 7#bch47 ,these steamers1 which are decidedly inferior to those which navigate the eastern waters1 are generally of a heavy build1 fitted to carry goods as well as passengers1 and vary from one hundred to seven hundred tons burthen4 ,their draught of water is also greater than that of the eastern river steamers--varying from six to eight feet4 ,the hull1 at about five feet from the water line1 is covered with a deck1 under which is the hold1 in which the heavy part of the cargo is stowed4 ,about the middle of this deck the engines are placed1 the boilers and furnaces occupying a space nearer to the bow1 near which two chimneys are placed4 ,the fire-doors of the furnaces are presented towards the bow1 and exposed so as to increase the draught4 ,that part of the first deck which extends from the machinery to the stern is the place allotted to the crew and the deck passengers1 and is described as being filthy and inconvenient in the extreme4 ,a second deck is constructed1 which extends from the chimneys near the bow to the stern of the vessel4 ,on this is formed the great cabin or saloon1 which extends from the chimneys to within about thirty feet of the stern1 where it is divided by a partition from the ladies' cabin1 which occupies the remaining space4 ,these principal cabins are surrounded by a gallery about three feet in width1 from which1 at convenient ,pg#ejb places1 an ascent is supplied by stairs to the highest deck1 called the hurricane or promenade deck4 7#bci47 ,the engines by which these boats are propelled are totally different from the machinery already described as used in the eastern steamers4 ,they are invariably non-condensing engines1 worked by steam of extremely high pressure2 the boilers are therefore tubular1 and the cylinders small in diameter1 but generally having a long stroke4 ,the pressure of steam used in these machines is such as is never used in ,european engines1 even when worked on railways4 ,a pressure of one hundred pounds per inch is here considered extremely moderate4 ,the captain of one of these boats1 plying between ,pittsburg and ,st4 ,louis1 told ,mr4 ,stevenson that under ordinary circumstances his safety valves were loaded with a pressure equal to one hundred and thirty-eight pounds per square inch1 but that the steam was occasionally raised as high as one hundred and fifty pounds to enable the vessel to pass parts of the river in which there is a strong current2 and he added1 by way of consolation1 that this pressure was never exceeded except on extraordinary occasions6 ,the dimensions and power of the ,mississippi steamers may be collected from those of the ,st4 ,louis1 a boat which was plying on that river in #ahcg4 ,that vessel measured two hundred and fifty feet on deck1 and had twenty-eight feet breadth of beam4 ,her draught of water was eight feet1 and her measured capacity one thousand tons4 ,she was propelled by two engines with thirty-inch cylinders1 and ten feet stroke2 the safety valve being loaded at one hundred pounds per square inch4 ,the paddle wheels of these vessels are attached to the paddle shaft1 in such a manner as to be thrown into and out of gear1 at discretion1 by the engineer1 so that the paddle shaft may revolve without driving the wheels3 by this expedient the power of the engine is used to feed the boilers while the vessel stops at the several stations4 ,the vessel is therefore stopped1 not1 as is usually the case1 by stopping the engines1 but by throwing the wheels out of connection with the paddle shaft4 ,the engines continue to work1 but their ,pg#ejc power is expended in forcing water into the boiler4 ,by this expedient the activity of the engines may1 within practical limits1 be varied with the resistance the vessel has to encounter4 ,in working against a strong current1 the feed may be cut off from the boilers1 and the production of steam1 and consequently the power of the engines1 thereby stimulated1 while this suspension of the feed may be compensated at the next station4 ,the stoppages to take in goods and passengers1 and for relays of fuel1 are frequent4 ,the liberty which they take with their vessels on these occasions1 says ,mr4 ,stevenson1 is somewhat amusing3 ,i had a good example of this on board a large vessel1 called the ,ontario4 ,she was steered close in shore amongst stones and stumps of trees1 where she lay for some hours to take in goods3 the additional weight increased her draught of water1 and caused her to heel a good deal2 and when her engines were put in motion1 she actually crawled into the deep water on her paddle wheels3 the steam had been got up to an enormous pressure to enable her to get off1 and the volume of steam discharged from the escapement pipe at every half stroke of the piston made a sharp sound almost like the discharge of fire-arms1 while every timber in the vessel seemed to tremble1 and the whole structure actually groaned under the shocks4 ,besides the steamers used for the navigation of the ,mississippi1 innumerable steam tugs are constantly employed in towing vessels between the port of ,new ,orleans and the open sea of the ,gulf of ,mexico4 ,before the invention of steam navigation1 this southern capital of the ,united ,states laboured under the disadvantage of possessing almost the only bad and inconvenient harbour in the vast range of coast by which the country is bounded4 ,new ,orleans lies at a distance of about one hundred miles from the ,gulf of ,mexico4 ,the force of the stream1 the frequency of shoals1 and the winding course of the channel rendered it scarcely possible for a sailing vessel to pass between the port and the sea with the same wind4 ,the anchorage was every where bad1 and great difficulty and risk attended the mooring of large vessels to the banks4 ,the steam engine has1 however1 overcome all ,pg#ejd these difficulties1 and rendered the most objectionable harbour of the ,union a safe and good seaport1 perfectly easy of approach and of egress at all times2 a small steam tug will take in tow several large ships1 and carry them with safety and expedition to the offing1 where it will dismiss them on their voyage1 and take back vessels which may have arrived4 ,illustration3 ,,great ,,western ,,off ,,new ,,york4 ,pg#eje ,,appendix4 ,on the ,relation between the ,temperature1 ,pressure1 and ,density of ,common ,steam4 ,there is a fixed relation between the temperature and pressure of common steam1 which has not yet been ascertained by theory4 ,various empirical formul have been proposed to express it1 derived from tables of temperatures and corresponding pressures which have been founded on experiments and completed by interpolation4 ,the following formula1 proposed by ,m4 ,biot1 represents with great accuracy the relation between the temperature and pressure of common steam1 throughout all that part of the thermometric scale to which experiments have been extended4 ,let a #eifacaccjbei log4 a#a #jhbcdjfhhaic #a log4 b#a #jacjigcdbie log4 a#b #jgdaajieahcg log4 b#b #jjbabeajehc ,the relation between the temperature t with reference to the centesimal thermometer1 and the pressure p in millimtres of mercury at the temperature of melting ice1 will then be expressed by the following formula3-- log4 p a a#a;b#abj t a#b;b#bbj t4 7#a47 ,formul have1 however1 been proposed1 which1 though not applicable to the whole scale of temperatures1 are more manageable in their practical application than the preceding4 ,for pressures less than an atmosphere1 ,southern proposed the following formula1 where the pressure is intended to be expressed ,pg#ejf in pounds per square inch1 and the temperature in reference to ,fahrenheit's thermometer1-- p #jjdidh 77#eac t7 _/ #aeegbef7eac 4 7#b47 t #aeegbef 77p #jjdidh7 #eac7a_/7eac7 ,the following formula was proposed by ,tredgold1 where p expresses the pressure in inches of mercury3-- p 77#ajj t7 _/ #agg7f4 ,this was afterwards modified by ,mellet1 and represents with sufficient accuracy experiments from #a to #d atmospheres4 ,let p represent pounds per square inch1 and t the temperature by ,fahrenheit's thermometer1-- p 77#ajc t7 _/ #bjaah7f 4 7#c47 t #bjaah p#a_/f #ajc ,m4 de ,pambour has proposed the following formula1 also applicable through the same limits of the scale3-- p 77#ihhjf t7 _/ #aihefb7f 4 7#d47 t #aihefb p#a_/f #ihhjf ,,mm4 ,dulong and ,arago have proposed the following formula for all pressures between #d and #ej atmospheres3-- p 7#jbfgic #jjjfgehe t7#e 4 7#e47 t #adgifa p#a_/e #cifdd ,it was about the year #ahja1 that ,dalton1 at ,manchester1 and ,gay-,lussac1 at ,paris1 instituted a series of experiments on gaseous bodies1 which conducted them to the discovery of the law mentioned in art4 7#if471 p4 #aga4 ,these philosophers found that all gases whatever1 and all vapours raised from liquids by heat1 as well as all mixtures of gases and vapours1 are subject to the same quantity of expansion between the temperatures of melting ice and boiling water2 and by experiments subsequently made by ,dulong and ,petit1 this uniformity of expansion has been proved to extend to all temperatures which can come under practical inquiries4 ,dalton found that #ajjj cubic inches of air at the temperature of melting ice dilated to #acbe cubic inches if raised to the temperature of boiling water4 ,according to ,gay-,lussac1 the increased volume was #acge cubic inches4 ,the latter determination has been subsequently found to be the more correct one4#dj ,pg#ejg ,it appears1 therefore1 that for an increase of temperature from #cb to #bab1 amounting to #ahj1 the increase of volume is #cge parts in #ajjj2 and since the expansion is uniform1 the increase of volume for #a will be found by dividing this by #ahj1 which will give an increase of #bjh-a_/c parts in #ajj1jjj for each degree of the common thermometer4 ,to reduce the expression of this important and general law to mathematical language1 let v be the volume of an elastic fluid at the temperature of melting ice1 and let nv be the increase which that volume would receive by being raised one degree of temperature under the same pressure4 ,let ,v be its volume at the temperature ,t4 ,then we shall have ,v v nv 7,t #cb7 v 7#a n 7,t #cb774 ,if ,v be its volume at any other temperature ,t1 and under the same pressure1 we shall have1 in like manner1 ,v v 7#a n 7,t #cb774 ,hence we obtain ,v_/,v 7#a n 7,t #cb77 _/ 7#a n 7,t #cb772 7#f47 which expresses the relation between the volumes of the same gas or vapour under the same pressure and at any two temperatures4 ,the co-efficient n1 as explained in the text1 has the same value for the same gas or vapour throughout the whole thermometric scale4 ,but it is still more remarkable that this constant has the same value for all gases and vapours4 ,it is a number1 therefore1 which must have some essential relation to the gaseous or elastic state of fluid matter1 independent of the peculiar qualities of any particular gas or vapour4 ,the value of n1 according to the experiments of ,gay-,lussac1 is #jjjbjhc1 or #a_/dhj4 ,to reduce the law of ,mariotte1 explained in 7#ig47 p4 #aga41 to mathematical language1 let ,v1 ,v be the volumes of the same gas or vapour under different pressures ,p1 ,p1 but at the same temperature4 ,we shall then have ,,vp ,v,p4 7#g47 ,if it be required to determine the relation between the volumes of the same gas or vapour1 under a change of both temperature and pressure1 let ,v be the volume at the temperature ,t and under the pressure ,p1 and let ,v be the volume at the temperature ,t and under the pressure ,p4 ,let v be the volume at the temperature ,t and under the pressure ,p4 ,by formula 7#g47 we have ,,vp v,p2 ,pg#ejh and by formula 7#f47 we have 7,v_/v7 7#a n7,t #cb77 _/ 7#a n7,t #cb77 ,eliminating v1 we shall obtain 7,v_/,v7 7,p_/,p7 7#a n7,t #cb77 _/ 7#a n7,t #cb772 or1 7,,vp_/,v,p7 7#a n7,t #cb77 _/ 7#a n7,t #cb772 7#h47 which is the general relation between the volumes1 pressures1 and temperatures of the same gas or vapour in two different states4 ,to apply this general formula to the case of the vapour of water1 let ,t #bab4 ,it is known by experiment that the corresponding value of ,p1 expressed in pounds per square inch1 is #adgjf2 and that ,v1 expressed in cubic inches1 the water evaporated being taken as a cubic inch1 is #agjj4 ,if1 then1 we take #jjjbjhc as the value of n1 we shall have by 7#h471 ,,vp #agjj #adgjf 7#a #jjjbjhc 7,t #cb77 _/ 7#a #jjjbjhc #ahj7 #ahahc7a #jjjbjhc 7,t #cb774 7#i47 ,if1 by means of this formula 7#i471 and any of the formul 7#a471 7#b471 7#c471 7#d471 7#e471 ,t were eliminated1 we should obtain a formula between ,v and ,p1 which would enable us to compute the enlargement of volume which water undergoes in passing into steam under any proposed pressure4 ,but such a formula would not be suitable for practical computations4 ,by the formul 7#a47 to 7#e471 a table of pressures and corresponding temperatures may be computed2 and these being known1 the formula 7#i47 will be sufficient for the computation of the corresponding values of ,v1 or the enlargement of volume which water undergoes in passing into steam4 ,in the following table1 the temperatures corresponding to pressures from #a to #bdj lbs4 per square inch are given by computation from the formul 7#b47 to 7#e471 and the volumes of steam produced by an unit of volume of water as computed from the formula 7#i474 ,the mechanical effect is obtained by multiplying the pressure in pounds by the expansion of a cubic inch of water in passing into steam expressed in feet1 and is therefore the number of pounds which would be raised one foot by the evaporation of a cubic inch of water under the given pressure4 ,pg#eji ---------------------------------------- ---------------------------------------- ------------------------------------ ,volume of ,mechanical ,total pressure the ,steam ,effect of in ,pounds ,corresponding compared to a ,cubic ,inch per ,square ,temperature4 the ,volume of ,water ,inch4 of the evaporated ,water that in ,pounds has raised ,one produced it4 ,foot4 ---------------------------------------- ---------------------------------------- ---------------------------- #a #ajbi #bjhfh #agci #b #abfa #ajhgd #ahab #c #adaj #gdcg #ahei #d #aebc #efhe #ahie #e #afad #dfag #aibd #f #afib #chig #aidh #g #agei #ccgf #aifi #h #ahbj #bihc #aihi #i #ahgd #bfgd #bjjf #aj #aibd #bdbf #bjbb #aa #aigj #bbba #bjcf #ab #bjac #bjej #bjej #ac #bjec #aijd #bjfc #ad #bjia #aggh #bjgd #ae #babh #affi #bjhf #af #bafc #aegc #bjig #ag #baif #adhh #bajg #ah #bbbg #adaa #baag #ai #bbef #acdc #babf #bj #bbhe #abha #bace #ba #bcab #abbe #badd #bb #bcch #aagd #baeb #bc #bcfc #aabg #bafj #bd #bchg #ajhd #bafh #be #bdaj #ajdd #bage #bf #bdcc #ajjg #bahb #bg #bdee #igc #bahi #bh #bdgf #ida #baif #bi #bdif #iaa #bbjb #cj #beaf #hhc #bbji #ca #becf #heg #bbae #cb #beee #hcc #bbba #cc #begc #haj #bbbf #cd #beia #ghh #bbcb #ce #bfji #gfg #bbch #cf #bfbf #gdh #bbdc #cg #bfdc #gbi #bbdh #ch #bfei #gab #bbec #ci #bfge #fie #bbei #dj #bfia #fgi #bbfd #da #bgjf #ffd #bbfh #db #bgba #fdi #bbgc #dc #bgcf #fce #bbgh #dd #bgej #fbb #bbhb #de #bgfd #faj #bbhg #df #bggh #eih #bbia #dg #bgib #ehf #bbif #dh #bhje #ege #bcjj #di #bhai #efd #bcjd #ej #bhcb #eed #bcjh #ea #bhdd #edd #bcab #eb #bheg #ecd #bcaf #ec #bhfi #ebe #bcbj #ed #bhha #eaf #bcbd #ee #bhic #ejh #bcbg #ef #bije #ejj #bcca #eg #biag #dib #bcce #eh #bibi #dhd #bcci #ei #bidb #dgg #bcdc #fj #bief #dgj #bcdg #fa #bifi #dfc #bcea #fb #biha #def #bcee #fc #biib #ddi #bcei #fd #cjjc #ddc #bcfb #fe #cjac #dcg #bcfe #ff #cjbd #dca #bcfi #fg #cjcd #dbe #bcgb #fh #cjdd #dai #bcge #fi #cjed #dad #bcgh #gj #cjfd #djh #bchb #ga #cjgd #djc #bche #gb #cjhd #cih #bchh #gc #cjic #cic #bcia #gd #cajc #chh #bcid #ge #caab #chc #bcig #gf #cabb #cgi #bdjj #gg #caca #cgd #bdjc #gh #cadj #cgj #bdje #gi #cadi #cff #bdjh #hj #caeh #cfb #bdaa #ha #cafg #ceh #bdad #hb #cagf #ced #bdag #hc #cahd #cej #bdai #hd #caic #cdf #bdbb #he #cbja #cdb #bdbe #hf #cbaj #cci #bdbg #hg #cbah #cce #bdcj #hh #cbbf #ccb #bdcb #hi #cbce #cbh #bdce #ij #cbdc #cbe #bdch #ia #cbea #cbb #bddj #ib #cbei #cai #bddc #ic #cbfg #caf #bdde #id #cbge #cac #bddh #ie #cbhb #caj #bdej #if #cbij #cjg #bdec #ig #cbih #cjd #bdee #ih #ccje #cja #bdeg #ii #ccac #bih #bdfj #ajj #ccbj #bie #bdfb #aaj #ccib #bga #bdhf #abj #cdeh #bea #bejg #acj #ceba #bcc #bebg #adj #cegi #bah #bede #aej #cfcd #bje #befa #afj #cfhg #aic #begg #agj #cgcf #ahc #beic #ahj #cghd #agd #bfjh #aij #chbi #aff #bfbb #bjj #chgc #aeh #bfcf #baj #ciae #aea #bfej #bbj #ciee #ade #bffc #bcj #ciid #adj #bfge #bdj #djca #acd #bfhg ---------------------------------------- ---------------------------------------- ---------------------------- ,pg#eaa ,in the absence of any direct method of determining the general relation between the pressure and volume of common steam1 empirical formul expressing it have been proposed by different mathematicians4 ,the late ,professor ,navier proposed the following3--,let ,s express the volume of steam into which an unit of volume of water is converted under the pressure ,p1 this pressure being expressed in kilogrammes per square mtre4 ,then the relation between ,s and ,p will be ,s a_/7b m,p71 where a #ajjj1 b #jji1 and m #jjjjjdhd4 ,this formula1 however1 does not agree with experiment at pressures less than an atmosphere4 ,m4 de ,pambour1 therefore1 proposes the following changes in the values of its co-efficients3--,let ,p express the pressure in pounds per square foot2 and let a #ajjjj b #jdbbg m #jjjbeh1 and the formula will be accurate for all pressures4 ,for pressures above two atmospheres the following values give more accuracy to the calculation3-- a #ajjjj b #adba m #jjjbc4 ,in these investigations ,i shall adopt the following modified formula4 ,the symbols ,s and ,p retaining their signification1 we shall have ,s a_/7b ,p7 7#aj47 where a #chgeifi b #afd4 ,these values of a and b will be sufficiently accurate for practical purposes for all pressures1 and may be used in reference to low-pressure engines of every form1 as well as for high-pressure engines which work expansively4 ,when the pressure is not less than #cj pounds per square inch1 the following values of a and b will be more accurate3-- a #dcdghbf b #fah4 ,on the ,expansive ,action of ,steam4 ,the investigation of the effect of the expansion of steam which has been given in the text1 is intended to convey to those who are not conversant with the principles and language of analysis1 some notion of the nature of that mechanical effect to which the advantages attending the expansive principle are due4 ,we shall now1 however1 explain these effects more accurately4 ,pg#eab ,the dynamical effect produced by any mechanical agent is expressed by the product of the resistance overcome and the space through which that resistance is moved4 ,let ,p the pressure of steam expressed in pounds per square foot4 ,s the number of cubic feet of steam of that pressure produced by the evaporation of a cubic foot of water4 ,e the mechanical effect produced by the evaporation of a cubic foot of water expressed in pounds raised one foot4 ,then we shall have ,e ,,ps2 and if ,w be a volume of water evaporated under the pressure ,p1 the mechanical effect produced by it will be ,,wps4 ,by 7#aj47 we have ,,sp a b,s4 ,hence1 for the mechanical effect of a cubic foot of water evaporated under the pressure ,p we have ,e a b,s4 7#aa47 ,let a cubic foot of water be evaporated under the pressure ,p1 and let it produce a volume of steam ,s of that pressure4 ,let this steam afterwards be allowed to expand to the increased volume ,s and the diminished pressure ,p2 and let it be required to determine the mechanical effect produced during the expansion of the steam from the volume ,s to the volume ,s4 ,let ,e the mechanical effect produced by the evaporation of the water under the pressure ,p without expansion4 ,e the mechanical effect produced during the expansion of the steam4 ,e the mechanical effect which would be produced by the evaporation under the pressure ,p without expansion4 ,e the total mechanical effect produced by the evaporation under the pressure ,p and subsequent expansion4 ,thus we have ,e ,e ,e4 ,let s be any volume of the steam during the process of expansion1 p the corresponding pressure1 and e the mechanical effect produced by the expansion of the steam4 ,we have then by 7#aj47 p 7a_/s7 b2 de 7ads_/s7 bds4 ,hence by integrating we obtain e a log4 s bs ,c2 ,pg#eac which1 taken between the limits s ,s and s ,s1 becomes ,e a log4 ,s_/,s b7,s ,s74 7#ab47 ,but by 7#aa47 we have ,e a b,s1 ,e a b,s2 ,e ,e b7,s ,s72 ,e a log4 ,s_/,s ,e ,e2 ,e ,e ,e a log4 ,s_/,s ,e4 7#ac47 ,or1 ,e a 7#a log4 ,s_/,s7 b,s4 7#ad47 ,hence it appears that the mechanical effect of a cubic foot of water evaporated under the pressure ,p may be increased by the quantity a log4 ,s_/,s1 if it be first evaporated under the greater pressure ,p1 and subsequently expanded to the lesser pressure ,p4 ,the logarithms in these formul are hyperbolic4 ,to apply these principles to the actual case of a double acting steam engine1 ,let ,l the stroke of the piston in feet4 ,a the area of the piston in square feet4 n the number of strokes of the piston per minute4 #bn ,,al the number of cubic feet of space through which the piston moves per minute4 ,let c,l,a the clearage1 or the space between the steam valve and the piston at each end of the stroke4 ,the volume of steam admitted through the steam valve at each stroke of the engine will be #bn ,,al7#a c74 ,let ,v the mean speed of the piston in feet per minute1 #bn,l ,v4 ,the volume of steam admitted to the cylinder per minute will therefore be ,,va 7#a c71 the part of it employed in working the piston being ,,va4 ,let ,w the water in cubic feet admitted per minute in the form of steam through the steam valve4 ,s the number of cubic feet of steam produced by a cubic foot of water4 ,pg#ead ,hence we shall have ,,ws ,,va 7#a c72 ,s 7,,va7#a c77_/,w4 7#ae47 ,since by 7#aj47 we have ,p a_/,s b2 ,p ,wa_/7,,va7#a c77 b4 7#af47 ,by which the pressure of steam in the cylinder will be known1 when the effective evaporation1 the diameter of the cylinder1 and speed of the piston1 are given4 ,if it be required to express the mechanical effect produced per minute by the action of steam on the piston1 it is only necessary to multiply the pressure on the surface of the piston by the space per minute through which the piston moves4 ,this will give ,,vap ,w7a_/7#a c77 ,v,ab2 7#ag47 which expresses the whole mechanical effect per minute in pounds raised one foot4 ,if the steam be worked expansively1 let it be cut off after the piston has moved through a part of the stroke expressed by e4 ,the volume of steam of the undiminished pressure ,p admitted per minute through the valve would then be ,,va 7e c72 and the ratio of this volume to that of the water producing it being expressed by ,s1 we should have ,s 7,,va7e c77_/,w4 ,the final volume into which this steam is subsequently expanded being ,,va7#a c71 its ratio to that of the water will be ,s 7,,va 7#a c77_/,w4 ,the pressure ,p1 till the steam is cut off1 will be ,p ,wa _/ 7,,va7e c77 b4 7#ah47 ,the mechanical effect ,e produced per minute by the steam of full pressure will be ,e ,p,a,ve ,wae _/ 7e c7 ,a,vbe2 and the effect ,e per minute produced by the expansion of the steam will by 7#ab47 be ,pg#eae ,e ,wa log47#a c7 _/ 7e c7 b,v,a7#a e74 ,hence the total effect per minute will be ,e ,wa 7e_/7e c77 log47#a c_/e c7 b,v,a4 7#ai47 ,if the engine work without expansion1 e #a2 ,e 7 ,wa_/7#a c77 b,v,a1 7#bj47 as before2 and the effect per minute gained by expansion will therefore be ,e ,e ,wa 7e_/7e c77 7#a_/7a c77 log47#a c_/e c72 7#ba47 which therefore represents the quantity of power gained by the expansive action1 with a given evaporating power4 ,in these formul the total effect of the steam is considered without reference to the nature of the resistances which it has to overcome4 ,these resistances may be enumerated as follows3-- #a4 ,the resistance produced by the load which the engine is required to move4 #b4 ,the resistance produced by the vapour which remains uncondensed if the engine be a condensing engine1 or of the atmospheric pressure if the engine do not condense the steam4 #c4 ,the resistance of the engine and its machinery1 consisting of the friction of the various moving parts1 the resistances of the feed pump1 the cold water pump1 c4 ,a part of these resistances are of the same amount1 whether the engine be loaded or not1 and part are increased1 in some proportion depending on the load4 ,when the engine is maintained in a state of uniform motion1 the sum of all these resistances must always be equal to the whole effect produced by the steam on the piston4 ,the power expended on the first alone is the useful effect4 ,let ,r the pressure per square foot of the piston surface1 which balances the resistances produced by the load4 m,r the pressure per square foot1 which balances that part of the friction of the engine which is proportional to the load4 r the pressure per square foot1 which balances the sum of all those resistances that are not proportional to the load4 ,the total resistance1 therefore1 being ,r m,r r1 which1 when the mean motion of the piston is uniform1 must be equal to the mean pressure on the piston4 ,the total mechanical effect ,pg#eaf must therefore be equal to the total resistance multiplied by the space through which that resistance is driven4 ,hence we shall have ,r7#a m7 r,,va ,wa7e_/7e c77 log47#a c_/e c7 ,v,ab2 ,,rva7#a m7 ,wa7e_/7e c77 log47#a c_/e c7 ,,va7b r74 ,for brevity1 let e a7e_/7e c77 log47#a c_/e c72 ,,rva7#a m7 ,we ,,va7b r74 7#bb47 ,by solving this for ,,va1 we obtain ,,va ,we_/7,r7#a m7 b r72 ,,rva ,we,r_/7,r7#a m7 b r74 7#bc47 ,this quantity ,,rva1 being the product of the resistance ,,ra1 of the load reduced to the surface of the piston1 multiplied by the space through which the piston is moved1 will be equal to the load itself multiplied by the space through which it is moved4 ,this being1 in fact1 the useful effect of the engine1 let it be expressed by ,u1 and we shall have ,u ,we,r_/7,r7#a m7 b r74 7#bd47 ,or by 7#bb471 ,u7#a m7 ,we ,,va7b r74 7#be47 ,the value of the useful effect obtained from these formul will be expressed in pounds1 raised one foot per minute1 ,w being the effective evaporation in cubic feet per minute1 ,a the area of the piston in square feet1 and ,v the space per minute through which it is moved1 in feet4 ,since a resistance amounting to #cc1jjj pounds moved through one foot per minute is called one-horse power1 it is evident that the horse power ,h of the engine is nothing more than the useful effect per minute referred to a larger unit of weight or resistance2 that is to #cc1jjj pounds instead of one pound4 ,hence we shall have ,h ,u_/#ccjjj4 7#bf47 ,since the useful effect expressed in 7#bd47 and 7#be47 is that due to a number of cubic feet of water1 expressed by ,w1 we shall obtain the effect due to one cubic foot of water1 by dividing ,u by ,w4 ,if1 therefore1 ,u be the effect produced by the effective evaporation of a cubic foot of water1 we shall have ,pg#eag ,u ,u_/,w4 7#bg47 ,if the quantity of fuel consumed per minute be expressed by ,f1 the effect produced by the unit of fuel1 called the ,,duty of the engine1 will1 for like reason1 be ,d ,u_/,f4 7#bh47 ,if the fuel be expressed in hundredweights of coal1 then ,d will express the number of pounds' weight raised one foot by a hundredweight of coal4 ,by solving 7#bd47 and 7#be47 for ,w1 we obtain ,w ,u7,r7#a m7 b r7_/,re1 7#bi47 ,w 7#a_/;e7,u7#a m7 ,,va7b r74 7#cj47 ,by eliminating ,u1 by 7#bf471 we shall have ,w #ccjjj ,h7,r7#a m7 b r7_/,re1 7#ca47 ,w 7#a_/;e7#ccjjj ,h7#a m7 ,,va7b r74 7#cb47 ,the evaporation necessary per horse power per minute will be found by putting ,h #a in these formul4#da ,it will be observed that the quantities ,a and ,v1 the area of the cylinder and the speed of the piston1 enter all these formul as factors of the same product4 ,other things1 therefore1 being the same1 the speed of the piston will be always inversely as the area of the cylinder4 ,in fact1 ,,va is the volume of steam per minute employed in working the piston1 and if the piston be increased or diminished in magnitude1 its speed must be inversely ,pg#eah varied by the necessity of being still moved through the same number of cubic feet by the same volume of steam4 ,it has been already stated in the text1 that no satisfactory experiments have yet been made1 by which the numerical value of the quantity r can be exactly known4 ,in engines of different magnitudes and powers1 this resistance bears very different proportions to the whole power of the machine4 ,in general1 however1 the larger and more powerful the engine1 the less that proportion will be4 ,that part of this resistance which arises from the reaction of the uncondensed vapour on the piston is very variable1 owing to the more or less perfect action of the condensing apparatus1 the velocity of the piston1 and the magnitude and form of the steam passages4 ,m4 de ,pambour states1 that1 by experiments made with indicators1 the mean amount of this resistance in the cylinder is #b-a_/b lbs4 per square inch more than in the condenser1 and that the pressure in the latter being usually #a-a_/b lb4 per square inch1 the mean amount of the pressure of the condensed vapour in the cylinder is about #d lbs4 per square inch4 ,engineers1 however1 generally consider this estimate to be above the truth in well-constructed engines1 when in good working order4 ,in condensing low pressure engines of forty horse power and upwards1 working with an average load1 it is generally considered that the resistance produced by the friction of the machine and the force necessary to work the pumps may be taken at about #b lbs4 per square inch of piston surface4 ,thus the whole resistance represented by r in the preceding formul1 as applied to the larger class of low pressure engines1 may be considered as being under #f lbs4 per square inch1 or #hfd lbs4 per square foot1 of the piston4 ,it is necessary1 however1 to repeat1 that this estimate must be regarded as a very rough approximation2 and as representing the mean value of a quantity subject to great variation1 not only in one engine compared with another1 but even in the same engine compared with itself at different times and in different states4 ,in the same class of engines1 the magnitude of the clearage is generally about a twentieth part of the capacity of the cylinder1 so that c #jje4 ,that part of the resistance which is proportional to the load1 and on which the value of m in the preceding formul depends1 is still more variable1 and depends so much on the form1 magnitude1 and the arrangement of its parts1 that no general rule can be given for its value4 ,it must1 in fact1 be determined in every particular case4 ,in the practical application of the preceding formul in condensing engines we shall have ,pg#eai a #chgeifi b #afd c #jje2 e #chgeifi7;e_/7e #jje7 log4#aje_/7;e #jje774 ,in engines which work without condensation1 and therefore with high pressure steam1 we shall have a #dcdghbf b #fah c #jje e #dcdghbf7;e_/7e #jje7 log4#aje_/7;e #jje77 ,to facilitate computation1 the values of e corresponding to all values of e1 from e #aj to e #ij1 are given in the following table3-- ---------------------------------------- ---------------------------------------- ---------------------------------------- ------ ,condensing,non-condensing ,condensing,non-condensing ,engines ,engines ,engines ,engines e e4 e4 e e4 e4 ---------------------------------------- ---------------------------------------- ---------------------------------- #aj #ajabfbfe #aaceijbi #ea #eiffcfg #ffibgjh #aa #iiefhfg #aaafijjh #eb #eijchcg #ffbbefe #ab #igicacf #ajihecdd #ec #ehdbbhh #feecebe #ac #ifcdibf #ajhjghge #ed #eghafic #fdheeeb #ad #idhbjbi #ajfcfcfd #ee #egbbjbd #fdahfai #ae #iccdbai #ajdgjefj #ef #effcbea #fcebfic #af #iaiabea #ajcajahf #eg #efjecec #fbhggde #ag #ijebhhh #ajaedigh #eh #eedhbig #fbbcgdb #ah #hiahhif #ajjjdfge #ei #edibjfd #fafjffb #ai #hghijdc #iheijad #fj #edcffbh #fjihdgh #bj #hffcabj #igaggfj #fa #echaifi #fjcgaff #ba #hedjiah #iehjfhb #fb #ecbhjfe #eigffii #bb #hdbbbdb #iddgeei #fc #ebgdhif #eiagjeg #bc #hcjfiaf #icahaic #fd #ebbbddd #ehehbai #bd #haidggj #iaibcif #fe #eagjfhd #ehjjaei #be #hjhefdd #ijfiihd #ff #eaaifje #egdbhfj #bf #gigicib #hiejgif #fg #ejfiahf #efhfcjd #bg #ghgehgj #hhcdfgd #fh #ejaidaj #efcjdfi #bh #gggdieb #hgbadfh #fi #digjbfc #eegecdj #bi #gfgfead #hfaajdh #gj #dibagbg #eebjhid #cj #gehjddg #hejcbhd #ga #dhgcgij #edfgaba #ca #gdhffdj #hcihjef #gb #dhbfdcd #edadjjj #cb #gcidiij #hbiebej #gc #dggifdh #ecfaeai #cc #gcjedjg #haidgfj #gd #dgccdag #ecjifei #cd #gbaghjg #hjifdif #ge #dfhggbh #ebehdjh #ce #gacbjig #hjjjceb #gf #dfdbefi #ebjggea #cf #gjdhbjf #gijfbdi #gg #deigibh #eaegfgf #cg #fiffjeh #ghadajj #gh #deecgid #eajhagj #ch #fhheehe #ggbchcb #gi #deajaee #ejeibah #ci #fhjfgbj #gfcecfe #hj #ddffiii #ejajhjh #dj #fgbidjh #gedhfdb #ha #ddbdcag #difbica #da #ffecegh #gdfcehj #hb #dchbjif #diaeefi #db #fegiahg #gchjacb #hc #dcdjccb #dhfhgbj #dc #fejfagd #gbihbcj #hd #dbiijaj #dhbbcfh #dd #fdcddia #gbaghbb #he #dbehabj #dggfejj #de #fcfdjii #gachheh #hf #dbagfeh #dgcaaac #df #fbididd #gjfabhe #hg #daggfac #dfhfaib #dg #fbbfihi #fihejeh #hh #dacgigd #dfdagbh #dh #fafjaij #fiajabf #hi #djihgcg #deiggac #di #fjideaj #fhcfdej #ij #djeihic #deedadj #ej #fjbiiaf #fgfciib ---------------------------------------- ---------------------------------------- ---------------------------------- ,pg#ebj ,in engines which work without expansion we have e a_/7#a c74 ,for condensing engines without expansion1 we shall then have e #chgeifi_/aje #cfiacii2 7#cc47 and for non-condensing engines1 e #dcdghbf_/aje #dadjghg4 7#cd47 ,as the diameters of the cylinders of engines are generally expressed in inches1 the corresponding areas of the pistons expressed in square feet are given in the following table1 so that the values of ,a may be readily found3-- ---------------------------------------- ---------------------------------------- ---------------------------------------- -------------------- ,diam4 ,area4 ,diam4 ,area4 ,diam4 ,area4 ,diam4 ,area4 ---------------------------------------- ---------------------------------------- ---------------------------------------- ------ ,inches4 ,sq4feet4,inches4 ,sq4feet4,inches4 ,sq4feet4,inches4 ,sq4feet4 #aj #jede #dh #abeff #hf #djcci #abd #hchfc #aa #jffj #di #acjie #hg #dabhc #abe #hebba #ab #jghe #ej #acfce #hh #dbbcg #abf #hfeij #ac #jibb #ea #adahf #hi #dcbjb #abg #hgigj #ad #ajfi #eb #adgdh #ij #ddagi #abh #hicfa #ae #abbg #ec #aecba #ia #deaff #abi #ijgfc #af #acif #ed #aeijd #ib #dfafd #acj #ibage #ag #aegf #ee #afdii #ic #dgagc #aca #iceii #ah #agfg #ef #agajd #id #dhaic #acb #iejcc #ai #aifi #eg #aggba #ie #dibbd #acc #ifdgi #bj #bahb #eh #ahcdh #if #ejbfe #acd #igice #ba #bdje #ei #ahihf #ig #eacah #ace #iidjb #bb #bfdj #fj #aifce #ih #ebchb #acf #ajjhhj #bc #bhhe #fa #bjbie #ii #ecdef #acg #ajbcfi #bd #cadb #fb #bjiff #ajj #ededb #ach #ajchfi #be #cdji #fc #bafdh #aja #eefch #aci #ajechj #bf #cfhg #fd #bbcdj #ajb #efgde #adj #ajfija #bg #cigf #fe #bcjdd #ajc #eghfc #ada #ajhdcd #bh #dbgf #ff #bcgeh #ajd #ehiib #adb #ajiigg #bi #dehg #fg #bddhd #aje #fjacb #adc #aaaecb #cj #diji #fh #bebbj #ajf #fabhc #add #aacjig #ca #ebda #fi #beifg #ajg #fbdde #ade #aadfgd #cb #eehe #gj #bfgbe #ajh #fcfag #adf #aafbfa #cc #eidj #ga #bgdid #aji #fdhja #adg #aaghei #cd #fcje #gb #bhbgd #aaj #feiie #adh #aaidfh #ce #ffha #gc #bijfe #aaa #fgbja #adi #abajhh #cf #gjfi #gd #bihfg #aab #fhdag #aej #abbgai #cg #gdfg #ge #cjfhj #aac #fifdd #aea #abdcfa #ch #ghgf #gf #caejc #aad #gjhhb #aeb #abfjac #ci #hbif #gg #cbcch #aae #gbaca #aec #abgfgf #dj #hgbg #gh #ccahc #aaf #gccia #aed #abicea #da #iafh #gi #cdjci #aag #gdffb #aee #acajcf #db #ifba #hj #cdijg #aah #geidd #aef #acbgcb #dc #ajjhe #ha #ceghe #aai #ggbcf #aeg #acddci #dd #ajeei #hb #cffgd #abj #ghedj #aeh #acfaeg #de #aajde #hc #cgegd #aba #gihed #aei #acghhf #df #aaeda #hd #chdhe #abb #haahj #afj #acifbf #dg #abjdh #he #cidjf #abc #hbeaf #afa #adacgg ---------------------------------------- ---------------------------------------- ---------------------------------------- -- ,pg#eba ,the practical application of the preceding formul will be shown by the following examples4 ,,examples4 #a4 ,a #cf-;inch cylinder with #e-a_/b feet stroke is supplied by a boiler evaporating effectively #fj cubic feet of water per hour1 and the piston makes #bj strokes per minute without expansion2-- what is the power of the engine and the pressure of steam in the cylinder8 ,let it be assumed that r #f #add #hfd and m #ja4 ,since the engine is a condensing engine1 we have b #afd and e #cfiacii4 ,by the formul 7#be47 and 7#bf47 we have ,h ,we ,,va7b r7_/#ccjjj7a m72 and since by the data we have ,w #a ,a #gjfi ,v #bn,l #dj #ee #bbj1 the formula1 by these substitutions1 becomes ,h 7#cfiacii #bbj #ajbh #gjfi7 _/ 7#ccjjj #aa72 ,h #egf4 ,since e #a1 the pressure ,p of steam in the cylinder1 by 7#ah471 is ,p 7,we_/,,va7 b4 ,therefore ,p 7#cfiacii_/aeeeah7 #afd #bbaj2 which being the pressure in pounds per square foot1 the pressure per square inch will be #ae-a_/c lbs4 #b4 ,to find the effective evaporation necessary to produce a power of #hj horses with the same engine4 ,also1 find the pressure of steam in the cylinder1 the speed of the piston being the same4 ,by the formula 7#cb471 with the above substitutions1 we have ,w 7#ccjjj #hj #aa #bbj #gjfi #ajbh7_/cfiacii #abb4 ,the evaporating power would therefore be only increased #bb per cent41 while the working power of the engine would be increased nearly #dj per cent4 ,the pressure ,p in the cylinder will be given1 by 7#ah471 as before4 ,p 7#abb #cfiacii7_/aeeeah #afd #bgcb2 which is equivalent to #ai lbs4 per square inch4 ,pg#ebb #c4 ,what must be the diameter of a cylinder to work with a power of a hundred horses1 supplied by a boiler evaporating effectively #gj cubic feet of water per hour1 the mean speed of the piston being #bdj feet per minute1 and the steam being cut off at half stroke8 ,also1 what will be the full pressure of steam on the piston8 ,taking1 as in the former examples1 m #ja1 b #afd1 and r #hfd1 we shall have ,h #ajj ,w #g_/f ,v #bdj1 and by the column for condensing engines1 in table1 p4 #eai1 we have e #fjbiiaf1 where e #jej4 ,making these substitutions in ,we #ccjjj ,h 7#a m7 ,,va 7b r71 we shall have 7#g_/f7 #fjbiiaf #ccjjjjj #aa #bdj #ajbh ,a4 ,whence we find ,a #ach2 and by the table1 p4 #ebj1 the corresponding diameter of the cylinder will be #ej-a_/c inches4 ,if ,p be the full pressure of the steam1 we shall have1 by 7#ah471 ,p 7,wa_/,,va7e c77 b4 ,making in this the proper substitutions1 we have ,p 77#g_/f7 #chgeifi7 _/ 7#bdj #ach #jee7 #afd #bcah2 which being in pounds per square foot1 the pressure per square inch will be #af-a_/aj lbs4 ,,footnotes3 #dj ,m4 de ,pambour states that the increased volume is #acfd cubic inches4 #da ,formul equivalent to some of the preceding are given1 with numerous others1 by ,m4 de ,pambour1 in his ,theory of the ,steam ,engine4 ,these mathematical details contain nothing new in principle1 being merely the application of the known principles of general mechanics to this particular machine4 ,m4 de ,pambour objects against the methods of calculating the practical effects of steam engines generally adopted by engineers in this country4 ,their estimates of the loss of power by friction1 imperfect condensation1 and other causes1 are1 as ,i have stated in this volume1 vague1 and can be regarded at best as very rough approximations2 but1 subject to the restrictions under which their methods of calculation are always applied1 they are by no means so defective as ,m4 de ,pambour supposes4 ,he proves what he considers to be their inaccuracy1 by applying them in cases in which they are never intended to be applied by ,english engineers4 ,those who desire to reduce to general algebraical formul the effects of the different kinds of steam engines will1 however1 find the volume of ,m4 de ,pambour of considerable use4 ,pg#ebc ,,index4 ,air1 elasticity of1 #bh2 ,may be partially expelled from a vessel by the application of heat1 #dd4 ,america1 steam navigation first established in1 #dhg2 ,circumstances which led to it1 #dhh2 ,fitch and ,rumsey1 their attempts to apply the single-acting engine to the propulsion of vessels1 #dhi2 ,stevens of ,hoboken commences experiments on steam navigation1 #dhi2 ,experiments of ,livingstone and ,fulton1 #dhi2 ,fulton's first boat1 #dij2 ,the ,hudson navigated by steam1 #dia2 ,extension and improvement of river navigation1 #dib2 ,american steamers1 #did2 ,difference between them and ,european steamers1 #did2 ,steamers on the ,hudson1 #did2 ,american paddle-wheels1 #die2 ,sea-going ,american steamers1 #dif2 ,speed attained by ,american steamers1 #dig2 ,lake steamers1 #dii2 ,the ,mississippi and its tributaries1 #dii2 ,steam-boats navigating it1 #ejj2 ,their structure and machinery1 #ejj2 ,new ,orleans ,harbour1 #ejc2 ,steam tugs1 #ejc4 ,atmosphere1 #ch2 ,weight of1 #ci4 ,atmospheric air1 mechanical properties of1 #ch2 ,composition of1 #bec4 ,atmospheric engine1 ,thomas ,newcomen the reputed inventor of1 #fb2 ,description of1 as first constructed by ,newcomen1 #fg2 ,the operation of considered1 #fi2 ,not unfrequently used in preference to the modern steam engine1 #gb2 ,advantages which it possessed over ,savery's1 #gc2 ,considerably improved by ,beighton1 #ge2 ,john ,smeaton investigates this machine1 #gf2 ,brindley obtains a patent for improvements in1 #gf2 ,applied by ,champion of ,bristol to raise water1 #aha2 ,possessed but limited power of adaptation to a varying load1 #aea2 ,expedient to remedy this1 #aea2 ,working-beam1 cylinder1 and piston applied to by ,newcomen1 #cbb4 ,atmospheric pressure rendered available as a mechanic agent by ,denis ,papin1 #ch2 ,means of measuring the force of1 #ci2 ,the idea of using against a vacuum or partial vacuum to work a piston in a cylinder1 suggested by ,otto ,guericke1 #gc4 ,barometer gauge1 #bgb4 ,barton's piston1 #bdh4 ,beighton1 his improvement of the atmospheric engine1 #ge4 ,black1 ,dr41 his doctrine of latent heat1 #ic4 ,blasco de ,garay1 his contrivance to propel vessels1 #af2 ,the contrivance of1 probably identical with that of ,hero1 #ag4 ,blinkensop1 his locomotive engine1 #ccg4 ,blowing-box1 #dbi4 ,blowing out1 ,seaward's method of1 #ded4 ,blow-off cocks1 #deb4 ,boiler1 forms of1 most convenient1 #bee2 ,the waggon boiler adopted by ,watt1 #bee2 ,furnace1 #bef2 ,method of feeding1 #beg2 ,combustion of gas in flues1 #bfj2 ,mr4 ,williams's method of consuming the unburned gases which escape from the grate1 and are carried through the flues1 #bfj2 ,construction of grate and ash-pit1 #bfa2 ,magnitude of heating surface of boiler1 #bfb2 ,capacity of1 must be proportioned to the quantity of water to be evaporated1 #bfc2 ,water-space and steam-space in boiler1 #bfc2 ,proportion of water-space in the boiler1 how to be regulated1 #bfd2 ,position of flues1 #bfd2 ,method of feeding1 #bfe2 ,the magnitude of the feed should be equal to the quantity of water evaporated1 #bfe2 ,different methods for indicating the level of the water in the boiler1 #bff2 ,level guages1 #bff2 ,self-regulating feeder1 #bfg2 ,another method of arranging1 #bfi2 ,steam gauge1 #bgj2 ,thermometer gauge1 #bga2 ,barometer gauge1 #bgb2 ,the indicator to measure the mean efficient force of the piston invented by ,watt1 #bgd2 ,the counter contrived by ,watt1 #bgh2 ,safety valve1 #bgi2 ,fusible plugs used in high pressure boilers1 #bhj2 ,self-regulating damper1 #bha2 ,self-regulating furnace invented by ,brunton1 #bhc2 ,duty of a boiler1 #bid2 ,boilers of locomotive engines1 #cea2 ,construction of the boiler of ,gurney's steam carriage1 #dbc2 ,all boilers require occasional cleansing1 #dbg2 ,gurney's method of removing crust of deposited matter in boilers1 #dbg2 ,the boiler of ,dr4 ,church's engine formed of copper1 #dci2 ,boilers in marine engines1 #ddi2 ,effects of sea-water in1 #dej2 ,remedies for them1 #dea2 ,substitution of copper for iron1 #dfj2 ,expedient of coating boilers with felt1 applied by ,watt1 #dfc4 ,booth1 ,mr41 his report on locomotive engines1 #cfa4 ,boulton and ,watt's experiments on the horse power of engines1 #bhh4 ,branca1 ,giovanni1 his machine for propelling a wheel by a blast of steam1 #bb4 ,brindley 7,james7 obtains a patent for improvements in atmospheric engine1 #gf2 ,undertook to erect an engine at ,newcastle-under-,lyne1 #gf2 ,discouraged by the obstacles thrown in his way1 #gf4 ,brougham1 ,lord1 his sketch of ,watt's character1 #cac2 ,inscription from the pen of1 on ,watt's monument in ,westminster ,abbey1 #cbj4 ,buffers1 #djd4 ,cartwright's engine to use the vapour of alcohol to work the piston1 #bde2 ,his piston1 #bdg4 ,cawley and ,newcomen obtain a patent for the atmospheric engine1 #fd4 ,champion applies atmospheric engine to raise water1 #aha4 ,chapman1 ,messrs41 their locomotive engine1 #ccg4 ,chlorine introduced in bleaching by ,watt1 #caj4 ,church1 ,dr41 his steam engine1 #dci2 ,the boiler formed of copper1 #dci4 ,coals1 the virtues and powers which steam has conferred upon1 #f2 ,the amount of labour a bushel of performs by means of the steam engine1 compared with horse power1 #g2 ,constituents of1 #beb2 ,process of combustion1 #beb4 ,coal mines1 apprehensions as to the possibility of the exhaustion of groundless1 #h4 ,cocks1 friction on1 #bdj4 ,cocks and valves1 #bbg4 ,combustion of gas in flues1 #bfj4 ,condensation by injection1 accidental discovery of1 #fi4 ,condensation in the cylinder incompatible with a due economy of fuel1 #abj4 ,condensing principle1 circumstance which led to ,savery's discovery of1 #dg4 ,condensing pipe in ,savery's engine1 #eb4 ,condensing out of the cylinder1 #abj4 ,condensing jet1 #aia4 ,conical steam valves1 #bbh4 ,conversion of ice into water1 #ajc2 ,of water into steam1 #aje4 ,copying press invented by ,watt1 #cjb4 ,cornish system of inspection1 #big4 ,cornish engines1 improvement of1 #bih2 ,historical detail of the duty of1 #bii4 ,cylinders1 ,wilkinson's machine for accurately boring the insides of1 #adi4 ,d valve1 #bcj4 ,dalton and ,gay-,lussac1 law of1 relating to the pressure of elastic bodies1 #aga4 ,dixon1 ,mr4 ,the substitution of brass for copper tubes in locomotive engines ascribed to him1 #cgj4 ,double clack-valve1 #bbh4 ,eccentric1 #bbe2 ,two expedients to reverse the position of1 #cgi4 ,effect of an engine1 #bhe4 ,elastic fluids4 ,the law according to which the pressure of1 increases with their temperature1 discovered by ,dalton and ,gay-,lussac1 #aga4 ,evaporation of water and other liquids1 physical and mechanical principles connected with1 #ig4 ,expansion of common steam1 effects of1 #agc4 ,expansive action of steam1 #aei2 ,stated by ,watt in a letter to ,dr4 ,small1 #aeg2 ,its principle explained1 #aeh2 ,mechanical effect resulting from it1 #afa2 ,computed effect of cutting off steam at different portions of the stroke1 #afb2 ,involves the condition of a variation in the intensity of the moving power1 #afc2 ,expedients for equalising the power1 #afd2 ,the expansive principle in the engines constructed by ,boulton and ,watt1 limited1 #afe2 ,its more extensive application in the ,cornish engines1 #afe2 ,methods of equalising1 #agd2 ,description of ,hornblower's engine for this purpose1 #agd4 ,expansive principle1 application of in marine engines1 #dff4 ,farey on the steam engine1 quotation from1 relative to ,savery's engine1 #eh2 ,his evidence before the ,house of ,commons1 #dce4 ,field1 construction of his split paddle1 #dgh4 ,fitch and ,rumsey1 their attempts to apply the single-acting engine to the propulsion of vessels1 #dhi4 ,flues1 position of1 #bfd4 ,fluids1 of two kinds1 #be2 ,mechanical properties of1 #be2 ,elastic1 #bg2 ,experimental proof that they press equally in all directions1 #da4 ,fly-wheel1 #bje4 ,four-way cock1 #bci2 ,disadvantages of1 #bdj4 ,fuel1 means of economising1 in marine furnaces1 #dfc4 ,fulton and ,livingstone1 their experiments in steam navigation1 #dhi4 ,fulton's first boat1 #dij4 ,furnace1 self-regulating1 invented by ,brunton1 #bhc4 ,fusible plugs used in high-pressure boilers1 #bhj4 ,galloway1 his paddle-wheel described1 #dgf4 ,gas1 elasticity of1 #bh4 ,gay-,lussac and ,dalton1 law of1 relating to the pressure of elastic bodies1 #aga4 ,governor1 adaptation of1 #bji4 ,gradients1 restrictions on1 #daa2 ,disposition of1 should be uniform1 #dae4 ,great ,western ,railway1 ,dr4 ,lardner's experiments on1 #djh4 ,griff1 proposals to drain a colliery at1 mentioned by ,desaguliers1 #fd4 ,gurney's steam carriage1 #dbc2 ,construction of the boiler of1 #dbc2 ,his method of removing crust of deposited matter in boilers1 #dbg2 ,his experiments on common roads1 #dcb4 ,hall1 his condensers described1 #deh4 ,hancock1 his steam carriage1 #dcf2 ,in what manner it differs from that of ,gurney1 #dcg4 ,harris1 ,dr41 mentions ,savery's engine in his ,lexicon ,technicum1 #ef4 ,heat1 effects of upon water1 #bi2 ,waste of in atmospheric engine1 #hi2 ,an examination of the analogous effects produced by the continued application of1 to water in the liquid state1 #ajb2 ,radiation of1 #bed4 ,heating by steam brought forward by ,watt1 #cjc4 ,hecla1 experiments with the1 #dab4 ,hero of ,alexandria1 description of his machine1 #ab4 ,high pressure engines described1 #cba2 ,one of the earliest forms of the steam engine1 #cbb2 ,obscurely described in the ,century of ,inventions1 #cbb2 ,construction of the first1 by ,messrs4 ,trevethick and ,vivian1 #cbd4 ,hooke exposes the fallacy of ,papin's project1 #fd4 ,horse carriages compared with steam1 #dce4 ,horse power of steam engines1 #bhh2 ,smeaton's estimation of1 #bhh2 ,boulton and ,watt's experiments on1 #bhh4 ,howard's description of his marine engine1 #dfd4 ,hudson1 the1 navigated by steam1 #dia4 ,hull1 ,jonathan1 his application of the steam engine to water wheels1 #ahj4 ,humphrey4 ,his marine engine described1 #dgj4 ,huskisson1 ,mr41 death of1 #cbi4 ,hydrogen1 #bec4 ,india1 steam navigation to1 #dhc4 ,indicator invented by ,watt1 #bgd4 ,jeffrey1 ,lord2 his sketch of the character of ,watt1 #cae4 ,kinneal1 description of ,watt's experimental engine at1 #aca4 ,lake steamers1 #dii4 ,lardner's1 ,dr41 experiments on the ,manchester ,railway in #ahcb1 #ceg2 ,his experiments in #ahch1 #djf2 ,experiments on the ,great ,western ,railway1 #djh4 ,leupold's engine1 description of1 #cbc4 ,level gauges1 #bff4 ,linen1 machine for drying by steam1 invented by ,watt1 #cjc4 ,liverpool and ,manchester railroad1 effects of the introduction of steam transport on1 #cbi2 ,want of experience in the construction of the engines1 #cbi2 ,death of ,mr4 ,huskisson1 #cbi2 ,proceedings of the directors1 #cdb2 ,premium offered by them for the best engine1 #cdd2 ,experimental trial1 #cdd4 ,livingstone and ,fulton1 experiments of in steam navigation1 #dhi4 ,locomotive engine1 history of1 #cbh2 ,blinkensop's engine1 #ccg2 ,chapman's engine1 #ccg2 ,walking engine1 #ccg2 ,mr4 ,stephenson's engine at ,killingworth1 #cci2 ,defect of1 #cda2 ,description of the ,rocket1 #cde2 ,the ,sanspareil1 #cdg2 ,the ,novelty1 #cdi2 ,superiority of the ,rocket1 #cej2 ,subsequent improvements in the locomotive engine1 #ceb2 ,table1 showing the economy of fuel gained by subdividing the flue into tubes1 #ced2 ,engines constructed in the form of the ,rocket subject to two principal defects1 #ced2 ,these defects remedied1 #cee2 ,improved by the adoption of a more contracted blast pipe1 #cef2 ,dr4 ,lardner's experiments in #ahcb1 #ceg2 ,adoption of brass tubes1 #cfa2 ,mr4 ,booth's report1 #cfa2 ,detailed description of the most improved locomotive engines1 #cfd2 ,substitution of brass for copper tubes ascribed to ,mr4 ,dixon1 #cgj2 ,mr4 ,stephenson constructed the driving wheels without flanges1 #chc2 ,pressure of steam in the boiler limited by two safety- valves1 #djb2 ,buffers1 #djd2 ,steam whistle1 #djd2 ,water tank1 #djd2 ,power of locomotive engines1 #dje2 ,evaporation of boilers1 #djf2 ,dr4 ,lardner's experiments in #ahch1 #djf2 ,resistance to railway trains1 #djg2 ,dr4 ,lardner's experiments on the ,great ,western ,railway1 #djh2 ,restriction on gradients1 #daa2 ,experiment with the ,hecla1 #dab2 ,disposition of gradients should be uniform1 #dae2 ,method of surmounting steep inclinations1 #dae2 ,steam carriages on common roads1 #dai2 ,difference between steam engines on railways and those used to propel carriages on turnpike roads1 #dbb2 ,gurney's steam carriage1 #dbc2 ,construction of the boiler of1 #dbc2 ,escape of steam from the engines on the ,liverpool road1 #dbh2 ,blowing-box1 #dbi2 ,separator1 #dcj2 ,difficulties in the practical working of steam carriages upon common roads1 #dcb2 ,gurney's experiments on common roads1 #dcb2 ,prejudice against locomotive engines on common roads1 #dcb2 ,not more destructive to roads than carriages drawn by horses1 #dcc2 ,report of the committee of the ,house of ,commons1 #dcc2 ,weight of steam carriages1 #dcc2 ,two methods of applying locomotives upon common roads1 #dcd2 ,horse carriages compared with1 #dce2 ,farey's evidence before the ,house of ,commons1 #dce2 ,risk of accident from explosion extremely slight1 #dce2 ,hancock's steam carriage1 #dcf2 ,in what manner it differs from that of ,gurney1 #dcg2 ,ogle's steam carriage1 #dch2 ,his evidence before the ,house of ,commons1 #dci2 ,dr4 ,church's steam engine1 #dci2 ,the boiler of formed of copper1 #dci4 ,lunar ,society1 ,boulton and ,watt leading members in1 #cjb4 ,marine engines1 form and arrangement of1 #dda2 ,difference between marine and land engines1 #ddc2 ,engine-room1 arrangement of1 #ddf2 ,boilers in1 #ddi2 ,effects of sea-water on boilers1 #dej2 ,remedies for them1 #dea2 ,blow-off cocks1 #deb2 ,indicators of saltness1 #deb2 ,seaward's indicator1 #ded2 ,his method of blowing out1 #ded2 ,method of ,maudslay and ,field to preserve freshness of water in the boiler1 #def2 ,brine pumps1 #deg2 ,tubular condensers applied by ,mr4 ,watt1 #deg2 ,hall's condensers1 #deh2 ,substitution of copper for iron boilers1 #dfa2 ,process of stoking1 #dfb2 ,marine furnaces1 #dfc2 ,expedient of coating boilers with felt applied by ,watt1 #dfc2 ,means of economising fuel1 #dfc2 ,description of ,howard's engine1 #dfd2 ,application of the expansive principle in marine engines1 #dff2 ,recent improvements of ,messrs4 ,maudslay and ,field1 #dfg2 ,humphrey's engine1 #dgj2 ,common paddle-wheel1 #dgb2 ,defect of1 #dgd2 ,feathering paddles1 #dgd2 ,galloway's paddle-wheel1 #dgf2 ,field's split paddle1 #dgh2 ,proportion of power to tonnage1 #dhj2 ,iron steam vessels1 #dhb4 ,mariotte's law relating to pressure1 #aga4 ,maudslay and ,field1 their method to preserve the requisite freshness of water in the boiler1 #def2 ,brine pumps1 #deg2 ,recent improvements of in marine engines1 #dff4 ,metallic pistons1 #bdd2 ,cartwright's engine1 #bde2 ,an improved form given to by ,barton1 #bdh4 ,mill work1 ,stewart's application of the steam engine to1 #ahb4 ,mines1 the drainage of1 ,watt endeavours to bring to perfection the application of the steam engine to1 #agh4 ,mississippi and its tributaries1 #dii2 ,steam-boats on1 #ejj2 ,their structure and machinery1 #ejj4 ,morland1 ,sir ,samuel1 his application of steam to raise water1 #cd2 ,the reputed inventor of several ingenious contrivances1 #cd2 ,his work in ,french upon the raising of water1 #ce2 ,extract from it1 #ce2 ,evelyn's account of his visit to1 #cf4 ,murray's slide-valve1 #bbi4 ,newcomen1 ,thomas1 the reputed inventor of the atmospheric engine1 #fb2 ,his acquaintance with ,dr4 ,hooke1 #fb2 ,acquainted with ,papin's writings1 #fd2 ,the merits of his engine ascribed principally to its mechanism and combinations1 #gc2 ,obtains with ,cawley a patent for the atmospheric engine1 #fd2 ,resumes the old method of raising water from mines by ordinary pumps1 #fe2 ,the means proposed to effect this1 #ff2 ,first conception of the atmospheric engine1 #ff2 ,description of his construction of atmospheric engine1 #fg2 ,suggestion of a better method of condensation than the application of cold water on the external surfaces of the cylinder1 #fi2 ,he abandons the external cylinder1 #fi2 ,applied the working-beam1 cylinder1 and piston to the atmospheric engine1 #cbb4 ,new ,orleans ,harbour1 #ejc4 ,novelty1 description of the1 a locomotive engine1 #cdi4 ,ogle1 his steam carriage1 #dch2 ,his evidence before the ,house of ,commons1 #dci4 ,otto ,guericke1 his suggestion relative to atmospheric pressure1 #gc4 ,oxley made the first attempt to drive water-wheels by the steam engine1 #ahb4 ,paddle-wheel described1 #dgb2 ,defect of1 #dgd2 ,feathering paddles1 #dgd2 ,galloway's paddle-wheel1 #dgf2 ,field's split paddle1 #dgh4 ,paddle-wheels of ,american steamers1 #die4 ,papin1 ,denis1 conceived the idea of rendering atmospheric pressure available as a mechanical agent1 #cg2 ,description of his contrivance1 #cg2 ,his discovery of condensation of steam1 #de2 ,quotation from his work relative to this discovery1 #de2 ,explanation of this important discovery1 #df2 ,discovers the method of producing a vacuum by the condensation of steam1 #agh2 ,his projected applications of the steam engine1 #agh2 ,his proposition for the construction of an engine working by atmospheric pressure1 #fb2 ,abandons the project when informed of the principle and structure of ,savery's engine1 #fb2 ,his engine described1 #fb2 ,this project nothing more than a reproduction of the ,marquis of ,worcester's engine1 #fc2 ,the fallacy of his project exposed by ,hooke1 #fd2 ,his project for producing a vacuum under a piston by condensing the steam1 published in the ,act ,eruditorum1 #fd4 ,parallel motion1 #aie4 ,physical science1 the rapid progress of1 #h4 ,pistons1 #bdb2 ,the common hemp-packed1 #bdb2 ,woolf's method of tightening the packing of1 without removing the lid of the cylinder1 #bdd2 ,this method further simplified1 #bdd2 ,metallic1 #bdd2 ,cartwright's engine1 #bde2 ,cartwright's piston1 #bdg2 ,invention of the indicator by ,watt to measure the mean efficient force of1 #bgd4 ,piston rod and beam1 methods of connecting in the double- acting engine1 #aic4 ,pneumatic institution at ,clifton1 ,watt one of the founders of1 #caj4 ,potter1 ,humphrey1 his contrivance for working the valves1 #ga2 ,improved by the substitution of a plug-frame1 #gb4 ,power1 proportion of1 to tonnage in marine engines1 #dhj4 ,power and duty of steam engines1 #bhg4 ,priestley1 ,watt's letter to1 relative to the composition of water1 #cjg4 ,pump1 an illustration of force attained by a vacuum1 #dc4 ,puppet clacks1 or button valves1 #add4 ,rack and ,sector1 #aid4 ,railways1 speed of coaches on1 compared with that of stage- coaches on a common road1 #g4 ,railway transport1 effects of1 #cbh4 #ccj4 ,railways and stone roads compared1 #dbj4 ,river navigation1 extension and improvement of1 #dib4 ,rocket1 description of the1 a locomotive engine1 #cde2 ,engines constructed in the form of1 subject to two principal defects1 #ced2 ,these defects remedied1 #cee2 ,improved by the adoption of a more contracted blast-pipe1 #cef4 ,roebuck1 ,dr41 ,watt's partnership with1 #acj4 ,rotatory motion1 method of producing by sun and planet wheels1 #ahg4 ,safety-valve not adopted by ,savery1 #eg2 ,invented by ,papin1 #eg2 ,description of1 #eg2 ,first applied to ,savery's engine by ,desaguliers1 #eh4 ,sanspareil1 description of the1 a locomotive engine1 #cdg4 ,savery1 ,thomas1 obtains a patent for an engine to raise water1 #dg2 ,circumstance which led to his discovery of the condensing principle1 #dg2 ,an account of his engine1 #di2 ,description of the working apparatus in which the steam is used as a moving power1 #ea2 ,his engine described in a work entitled ,the ,miner's ,friend1 #ef2 ,mentioned by ,dr4 ,harrison in his ,lexicon ,technicum1 #ef2 ,quotation from his address to the ,royal ,society1 #ef2 ,quotation from his address to the ,miners of ,england1 #eg2 ,mentioned by ,bradley in his ,improvements of ,planting and ,gardening1 #eg2 ,the safety-valve not adopted by him1 #eg2 ,the safety-valve first applied to his engine by ,desaguliers1 #eh2 ,farey on the steam engine quoted1 #eh2 ,further ,improvements made by ,desaguliers1 #eh2 ,defects of his engine1 #ei2 ,his engine applied to the drainage of mines1 #ei2 ,further defects of1 #fj2 ,the first to suggest the method of expressing the power of an engine with reference to that of horses1 #fa2 ,failure of his engine in the work of drainage1 #fa2 ,the tendency of high pressure to weaken and gradually destroy the vessels1 #gb2 ,the power of his engines restricted1 #gc2 ,the atmospheric engine superior to1 #gc2 ,the boiler1 guage-pipes1 and regulator borrowed from his engine1 #gc2 ,proposes to apply his engine as a prime mover for all sorts of machinery1 #ahj4 ,scott1 ,sir ,walter1 his sketch of the character of ,watt1 #cad4 ,sculpture1 ,watt's invention of machine for copying1 #cah4 ,sea-going ,american steamers1 #dif4 ,sea-water1 effects of upon boilers1 #dej4 ,seaward's slides1 #bce2 ,indicator of saltness1 #ded2 ,his method of blowing out1 #ded4 ,self-regulating damper1 #bha2 ,furnace1 #bhc4 ,separator1 #dcj4 ,single-acting engine1 description of ,watt's1 #acc4 #add4 ,single clack-valve1 #bbg4 ,single cock1 #bch4 ,slide-valves1 #bbi2 ,that contrived by ,mr4 ,murray1 #bbi4 ,smeaton1 ,john1 investigates the atmospheric engine1 #gf2 ,applies himself to the improvement of wind and water mills1 #aha2 ,his estimate of the horse power of engines1 #bhh4 ,solomon ,de ,caus1 description of the apparatus of1 #ag2 ,m4 ,arago claims for him a share of the honour of the invention of the steam engine1 #ba2 ,republished1 with additions1 the work of ,isaac ,de ,caus1 #bb4 ,somerset1 ,edward1 ,marquis of ,worcester4 ,invention of the steam engine ascribed to him1 #bc2 ,description of his contrivance1 #bc2 ,his ,century of ,inventions1 #bd2 ,brief account of his engine described in this work1 #ca2 ,his contrivance compared with that of ,de ,caus1 #cc2 ,many of his inventions have been reproduced and brought into general use1 #cd4 ,steam cannot be applied immediately to any useful purpose1 but requires the interposition of mechanism1 #aa2 ,elastic force of1 recognised by the ancients only in vague and general terms1 #ad2 ,the power of1 formerly made to minister to the objects of superstition1 mentioned by ,arago1 #ae2 ,anecdote showing the knowledge which the ancients had of the mechanical force of1 #ae2 ,the discovery of the condensation of1 by ,papin1 #de2 ,mechanical power obtained from the direct pressure of the elastic force of1 suggested by ,de ,caus and ,lord ,worcester1 #gc2 ,latent heat of1 #ajg2 ,the mechanical force of considered1 #aae2 ,watt's early experiments on1 #hg2 ,discovery of the expansive action of1 #aeg2 ,expansive action of stated by ,watt in a letter to ,dr4 ,small1 #aeg2 ,its principle explained1 #aeh2 ,mechanical effect resulting from it1 #afa2 ,properties of1 #afh2 ,common and super-heated steam1 #afh2 ,pressure and temperature of1 #aga2 ,relation between the temperatures of common steam and its pressure and density1 #agb2 ,effects of the expansion of common steam1 #agc2 ,mechanical effects of1 #agc2 ,methods of equalising the varying force of expanding steam1 #agd2 ,method of producing a vacuum by the condensation of1 discovered by ,papin1 #agh2 ,applied to move machinery1 #agi2 ,steam guage1 #bgj2 ,heating by steam brought forward by ,watt1 #cjc2 ,a machine for drying linen by1 invented by ,watt1 #cjc2 ,mode of escape of1 from the engines on the ,liverpool road1 #dbi4 ,steam case or jacket1 invented by ,watt1 #abd4 ,steam engine1 a subject of popular interest1 #c2 ,the effects which it has produced upon the well-being of the human race considered1 #d2 ,presents peculiar claims upon the attention of the people of ,great ,britain1 #e2 ,the exclusive offspring of ,british genius1 #e2 ,the virtues and powers which it has conferred upon coals1 #f2 ,water the means of calling these powers into activity1 #f2 ,used in the drainage of ,cornish mines1 #g2 ,comparison of its power with human labour1 #h2 ,investigation of the origin of1 #aj2 ,a combination of a great variety of contrivances and the production of several inventions1 #ab2 ,before the discoveries of ,james ,watt was of extremely limited power1 #ab2 ,invention of1 ascribed to the ,marquis of ,worcester1 #bc2 ,account of ,savery's1 #di2 ,farey quoted1 #eh2 ,improvements made by ,desaguliers1 #eh2 ,applied to the drainage of mines1 #ei2 ,humphrey ,potter's contrivance1 #gb2 ,advantages of the atmospheric engine over that of ,savery1 #gc2 ,progress of the atmospheric engine1 #ge2 ,description of ,papin's engine1 #fb2 ,smeaton's improvements1 #gf2 ,first experiments of ,watt and subsequent improvements1 #hc2 ,watt's experiments on the force of steam at high pressure1 #hc2 ,watt discovers the great defects of the atmospheric engine1 #he2 ,waste of heat in atmospheric engine1 #hi2 ,dr4 ,black's theory of latent heat1 #ic2 ,description of ,watt's experimental engine at ,kinneal1 #aca2 ,description of his single-acting engine1 #acc2 ,disadvantages of the atmospheric compared with the old engine1 #aej2 ,expedients to force the atmospheric engines into use1 #aeb2 ,watt's exertions to improve the manufacture of1 at ,soho1 #aee2 ,efficiency of fuel in the new engines1 #aef2 ,hornblower's engine1 #age2 ,woolf's engine1 #agf2 ,watt endeavours to bring to perfection the application of1 to the drainage of mines1 #agh2 ,papin's projected application of1 #agh2 ,savery proposed to apply his steam engine as a prime mover for all sorts of machinery1 #ahj2 ,jonathan ,hull's application of1 to water-wheels1 #ahj2 ,steam engine used for driving water wheels1 #ahb2 ,first attempt of this kind made by ,oxley1 #ahb2 ,stewart's application of1 to mill work1 #ahb2 ,wasbrough's application of the fly-wheel and crank1 #ahc2 ,reasons why ,watt's single-acting engine was not adapted to produce continuous uniform motion of rotation1 #ahd2 ,watt's second patent1 #ahf2 ,valves of double-acting engine1 #ahi2 ,condensing jet1 #aia2 ,methods of connecting the piston-rod and beam in the double- acting engine1 #aic2 ,rack and sector1 #aid2 ,parallel motion1 #aie2 ,connecting rod and crank1 #bjb2 ,fly-wheel1 #bje2 ,throttle-valve1 #bjg2 ,adaptation of the governor1 #bji2 ,double-acting engine considered as a whole1 #baf2 ,process of its operation investigated1 #bag2 ,the eccentric1 #bbe2 ,cocks and valves1 #bbg2 ,single clack-valve1 #bbg2 ,double clack-valve1 #bbh2 ,conical steam-valves1 #bbh2 ,slide-valves1 #bbi2 ,murray's slide-valve1 #bbi2 ,d valve1 #bcj2 ,seaward's slides1 #bce2 ,single cock1 #bch2 ,four-way cock1 #bci2 ,pistons1 #bdb2 ,gross effect and useful effect of engines1 #bhe2 ,power and duty of1 #bhg2 ,horse power of1 #bhh2 ,the means whereby mechanical power is expended in working the engines enumerated1 #bij2 ,common rules followed by engine makers1 #bib2 ,duty of engines1 #bid2 ,duty distinguished from power1 #bie2 ,proportion of stroke to diameter of cylinder1 #bie2 ,cornish system of inspection1 #big2 ,improvement of the ,cornish engines1 #bih2 ,historical detail of the duty of ,cornish engines1 #bii2 ,high-pressure engines1 #cba2 ,leupold's engine described1 #cbc2 ,construction of the first high-pressure engine by ,messrs4 ,trevethick and ,vivian1 #cbd2 ,first application of the steam engine to propel carriages on railroads1 #cbh2 ,computation of how much corn could be saved by the substitution of steam engines for horse power1 #ccb2 ,marine engines1 form and arrangement of1 #dda2 ,difference between marine and land engines1 #ddc2 ,mr4 ,howard's patent engine described1 #dfd2 ,humphrey's engine described1 #dgj4 ,steam navigation to ,india1 #dhc2 ,first established in ,america1 #dhg2 ,circumstances which led to it1 #dhh2 ,attempts of ,fitch and ,rumsey to apply the single-acting engine to the propulsion of vessels1 #dhi2 ,stevens of ,hoboken commences experiments in1 #dhi2 ,experiments of ,livingstone and ,fulton1 #dhi2 ,fulton's first boat1 #dij2 ,the ,hudson navigated by steam1 #dia2 ,extension and improvement of river navigation1 #dib2 ,american steamers1 #did2 ,difference between them and ,european steamers1 #did2 ,steamers on the ,hudson1 #did2 ,sea-going ,american steamers1 #dif2 ,speed attained by ,american steamers1 #dig2 ,lake steamers1 #dii2 ,steam-boats on the ,mississippi1 #ejj4 ,steam tugs1 #ejc4 ,steep inclinations1 method of surmounting1 #dae4 ,stephenson1 his locomotive engine at ,killingworth1 #cci2 ,defect of1 #cda2 ,constructed the driving wheels without flanges1 #chc4 ,stevens1 of ,hoboken1 commences experiments on steam navigation1 #dhi4 ,stewart1 his application of the steam engine to mill work1 #ahb4 ,stoking1 process of1 #dfb4 ,stuffing-box1 contrivance of1 #adg4 ,sun and planet wheels1 method of producing rotatory motion1 #ahg4 ,thermometers1 the process of filling described1 #dd2 ,explanation of the principle of1 #ih2 ,construction of mercurial thermometer1 #ih2 ,method of graduating1 #ii4 ,thermometer gauge1 #bgj4 ,throttle-valve1 description of1 #bjg4 ,tredgold1 his remark relative to ,newcomen's engine1 #gc4 ,trevethick and ,vivian's engine described1 #cbe4 ,vacuum1 force obtained by a1 #dc2 ,the pump an illustration of this1 #dc4 ,valves of double-acting engine1 #ahi4 ,wasbrough1 his application of the fly-wheel and crank1 #ahc4 ,water1 a pint of1 the mechanical force produced by its evaporation1 #f2 ,the alternate decomposition and recomposition of1 by magnetism and electricity1 analogous to vaporisation and condensation1 #h2 ,the fixed temperature which it assumes in boiling subject to variation1 #ajh2 ,experiments to illustrate this1 #aji2 ,table to show the temperature at which it will boil under different pressures of the atmosphere1 #aac2 ,mechanical force of a cubic inch of1 converted into steam1 #aah2 ,discovery of the composition of1 #cjc2 ,the merit of this discovery shared between ,cavendish1 ,lavoisier1 and ,watt1 #cje2 ,latent heat of1 #aja2 ,conversion of ice into1 #ajc4 ,water tank1 #djd4 ,water-wheels1 steam engine used for turning1 #ahb4 ,watt 7,james71 birth of1 #gg2 ,his infancy1 #gh2 ,anecdotes respecting1 #gh2 ,his boyhood1 #gi2 ,goes to ,london1 #hj2 ,returns to ,glasgow1 #hj2 ,appointed mathematical instrument-maker to the university1 #ha2 ,adam ,smith one of his earliest friends and patrons1 #ha2 ,also ,black and ,robert ,simson1 #ha2 ,extract from an unpublished manuscript of ,robison respecting the character of1 #hb2 ,his first experiments on steam1 #hc2 ,observes defects of atmospheric engine1 #hd2 ,his first attempt to improve it1 by using a wooden instead of an iron cylinder1 #he2 ,his method to ascertain the temperatures at which water would boil under pressures less than that of the atmosphere1 #hf2 ,his early experiments on steam1 #hg2 ,his notice of the waste of heat in atmospheric engines1 #hi2 ,his experiments to determine the extent to which water enlarged its volume when it passed into steam1 #ij2 ,discovers the latent heat of steam1 #ia2 ,learns the theory of latent heat1 #ic2 ,his letter to ,dr4 ,brewster1 explaining the circumstances which led to the error that a large share of the merit of his discoveries were due to ,black1 #ic2 ,finds that condensation in the cylinder is incompatible with a due economy of fuel1 #abj2 ,conceives the notion of condensing out of the cylinder1 #abj2 ,discovers separate condensation1 #aba2 ,invents the air-pump1 #abb2 ,substitutes steam pressure for atmospheric pressure1 #abc2 ,invents the steam case or jacket1 #abd2 ,his first experiments to realise these inventions1 #abe2 ,his experimental apparatus1 #abf2 ,difficulties of bringing the improved engines into use1 #abh2 ,practises as a civil engineer1 #abi2 ,makes a survey of the river ,clyde1 #abi2 ,his partnership with ,dr4 ,roebuck1 #acj2 ,his first patent1 #acj2 ,description of his experimental engine at ,kinneal1 #aca2 ,removes to ,soho1 #aca2 ,abstract of the act of parliament for the extension of his patent1 #acb2 ,description of his single-acting engine1 #acc-add2 ,his condenser worked by an injection1 #adf2 ,objections attending condensation by surface1 #adf2 ,improvements in construction of piston1 #adg2 ,effected by a contrivance called a stuffing-box1 #adg2 ,method of packing1 #adh2 ,improved methods of boring the cylinder1 #adi2 ,his letter to ,smeaton on this subject1 #adi2 ,used black-lead dust for the purpose of lubrication1 #adi2 ,this found to wear the cylinder1 #adi2 ,disadvantages of the atmospheric compared with the old engines1 #aej2 ,greatly increased economy of fuel1 #aea2 ,expedients to force the atmospheric engines into use1 #aeb2 ,his correspondence with ,boulton1 #aec2 ,his correspondence with ,smeaton1 #aed2 ,exertions to improve the manufacture of engines at ,soho1 #aee2 ,efficiency of fuel in the new engines1 #aef2 ,endeavours to bring to perfection the application of the steam engine to the drainage of mines1 #agh2 ,the reasons why his single-acting engine was not adapted to produce continuous uniform motion of rotation1 #ahd2 ,his notes upon ,dr4 ,robison's article on the steam engine1 #ahd2 ,his second patent1 #ahf2 ,his third patent1 #ahi2 ,his application of the fly-wheel1 #bje2 ,his application of the throttle-valve1 #bjg2 ,his adaptation of the governor1 #bji2 ,his double-acting engine considered as a whole1 #baf2 ,investigation of the process of its operation1 #bag2 ,eccentric1 #bbe2 ,cocks and valves1 #bbg2 ,single clack-valve1 #bbg2 ,double clack-valve1 #bbh2 ,conical steam-valve1 #bbh2 ,slide-valves1 #bbi2 ,the waggon boiler adopted by him1 #bbe2 ,invents the indicator1 #bgd2 ,the counter contrived by him1 #bgh2 ,the ,lunar ,society in which ,watt and ,boulton were leading members1 #cjb2 ,invents the copying press1 #cjb2 ,his friends and associates at ,birmingham1 #cjb2 ,method of heating by steam brought forward by him1 #cjc2 ,his invention of a machine for drying linen by steam1 #cjc2 ,his share in the discovery of the composition of water1 #cjc2 ,his letter to ,priestley on this subject1 #cjg2 ,anecdote of his inventive genius1 #cji2 ,introduces the use of chlorine in bleaching1 #caj2 ,one of the founders of the ,pneumatic institution at ,clifton1 #caj2 ,his first marriage1 #caj2 ,private life of1 #caa2 ,death of his first wife1 #caa2 ,his second marriage1 #caa2 ,he retires from business1 #caa2 ,death of his younger son1 #caa2 ,extracts from his letters1 #cab2 ,his death1 #cac2 ,character of1 by ,lord ,brougham1 #cac2 ,by ,sir ,walter ,scott1 #cad2 ,by ,lord ,jeffrey1 #cae2 ,occupation of his old age1 #cah2 ,invention of machine for copying sculpture1 #cah2 ,his last days1 #cah2 ,monuments1 #cai2 ,inscription on the monument in ,westminster ,abbey from the pen of ,lord ,brougham1 #cai2 ,his application of tubular condensers1 #deg2 ,his expedient for coating boilers with felt1 #dfc4 ,wilkinson1 his machine for accurately boring the insides of cylinders1 #adi4 ,williams's method of consuming the unburned gases which escape from the grate1 and are carried through the flues1 #bfj4 ,woolf's engine1 #agf2 ,woolf's piston1 #bdc4 ,illustration3 ,,richmond ,,bridge4 ,,london3 ,printed by ,a4 ,,spottiswoode1 ,new-,street-,square4 99 99 99 99 99 ,transcriber's endnote3 ,original spelling and grammar has mostly been retained4 ,for example1 the forms ,cyclopoedia1 cyclopdia1 ,encyclopdia1 ,encyclopoedia1 guage1 and gauge are all retained4 ,figures were moved from within paragraphs to between paragraphs4 ,footnotes were re-indexed and moved to the ends of chapters4 ,an entry for the ,,index was inserted into the ,table of ,contents4 ,in the ,table of ,contents1 changed ,,mm4 ,dulong and ,arrago to ,,mm ,dulong and ,arago4 ,also ,blinkinsop to ,blinkensop4 ,also ,wasborough's to ,wasbrough's4 ,figs4 #d1 #e and #f are all in one image4 ,two tubes in ,fig4 #d were incorrectly labeled ,t'2 one of these has been crossed out and changed to ,t4 ,both tubes in ,fig4 #f were incorrectly labeled ,g4 ,one of these was crossed out and replaced by ,g'4 ,note also that ,figs4 #d1 #e1 #f are repeated in the text on different pages2 this feature has been retained4 ,page #aj3 it s already to it is already4 ,page #dc3 ,thu if heat changed to ,thus if heat4 ,page #de3 had a diameter of only one square foot changed to had a diameter of only one foot4 ,page #dg3 immedate to immediate4 ,page #ea3 a a level to a level4 ,also1 comma removed from ,a gauge1 pipe is inserted4 ,page #ec3 proportionably to proportionally4 ,page #gi3 ,a paragraph beginning ,he was not fourteen contains three double quotation marks2 this is presumably an error4 ,possibly there should be two double quotation marks and two single quotation marks4 ,page #hj3 ,s'4 ,gravesande is retained1 although this probably refers to a person known as 's ,gravesande4 ,page #ajc3 gases n general to gases in general4 ,page #abb3 comma removed from process may1 be continued4 ,page #abc3 two thin pipes ,f ,g of tin to two thin pipes ,f1 ,g of tin4 ,page #agb3 empyrical to empirical4 ,page #ahg1 ,fig4 #cb43 ,the text refers to end ,i of the connecting rod1 but this was labeled ,l on the ,figure4 ,this ,l has been crossed out and replaced by ,i4 ,page #bhe3 ,in surrounding the boiler with iron-conducting substances1 changed iron- to non-4 ,page #cjh3 exeitement to excitement4 ,page #cfb3 acomplish to accomplish4 ,there were several extended quotations1 for example beginning on page #cab1 in which each line began with a quotation mark1 with ending quotation marks at the end of each paragraph4 ,in this edition1 these passages have been marked by indentation1 and all but the first and last quotation marks from each paragraph were removed4 ,page #cff3 ,figs4 #ig-ajd appeared originally between pages #che and #cii1 as full-page prints4 ,numerically1 however1 they belong between ,figs4 #if and #aje--therefore between pages #cff and #cfi4 ,therefore1 they have been moved to a location between two paragraphs on page #cfg4 ,page #cfh3 rivetted to riveted4 ,page #dai3 ,,trevitheck',s ,,invention changed to ,,trevethick',s ,,invention1 in the chapter heading4 ,however1 the references to ,trevethick occur in a previous chapter1 around page #cbd4 ,page #dfh3 ,period added to end sentence 444 piston is at the bottom of its stroke4 ,page #dij3 ,period added to end sentence 444 therefore one eighth of its capacity4 ,pages #did1 #dig3 large data tables were split into two pieces each4 ,page #eje3 ,the logarithm originally given as log x #ahbcdjfhhaic1 where #a represents a numeral one with a horizontal line over it1 is herein changed to log x #jhbcdjfhhaic - #a1 as that is the meaning of this convention4 ,page #eac formul are hyberbolic to formul are hyperbolic4 ,in the ,appendix1 pp #eje-ebb1 mathematical variables such as a1 p1 t1 etc4 were originally italicized4 ,in these text file versions1 italicized variables have been removed from this section of the book4 ,this rule has two unfortunate exceptions3 ,e1 ,e1 ,e'1 and ,e' on pp #eab-eae are different variables1 and have been retained4 ,italics have been removed from tables throughout the work4 ,the tables on page #did and #dig were divided into two parts1 better to fit the width constraints of this format4 ,most of the tables will not look good unless viewed with a monospace font1 such as ,courier ,new or ,lucida ,console4