Alabama 1,722

Alaska 0

Arizona 0

Arkansas 787

California 1,854

Colorado 950

Connecticut 925

Dakota 290

Delaware 285

Florida 484

Georgia 2,308

Idaho 0

Illinois 6,980

Indiana 4,072

Indian Territory 281

Iowa 3,937

Kansas 3,226

Kentucky 1,464

Louisiana 539

Maine 987

Maryland 1,092

Massachusetts 1,825

Michigan 3,437

Minnesota 2,024

Mississippi 1,028

Missouri 3,016

Montana 0

Nebraska 1,181

Nevada 714

New Hampshire 942

New Jersey 1,594

New Mexico 0

New York 5,520

North Carolina 1,371

Ohio 4,680

Oregon 251

Pennsylvania 5,896

Rhode Island 182

South Carolina 1,352

Tennessee 1,638

Texas 2,072

Utah 486

Vermont 810

Virginia 1,648

Washington 110

West Virginia 576

Wisconsin 2,575

Wyoming 459

------

Total 76,640

In 1873 came the great financial crisis, with its terrible results of

interrupted production, poverty, and starvation, and an almost total

cessation of the work of building new railroads. The largest number of

miles ever built in any one year were constructed in 1872. The

greatest mileage is in Illinois, reaching 6,589; the smallest in Rhode

Island, 136, and in Washington Territory, 110. The State of

Massachusetts has one mile of railroad to 4.86 miles of territory,

this ratio being the greatest in the country. The longest road in

operation is the Chicago & Northwestern, extending 1,500 miles; the

shortest, the Little Saw-Mill Run Road in Pennsylvania, which is but

three miles in length. The total capital of railways in the country is

$6,000,000,000, or an average of $100,000 per mile. The earnings for

the year 1872 amounted to $454,969,000, or $7,500 per mile. The

largest net earnings recorded as made on any road were gained by the

New York Central & Hudson River, $8,260,827; the smallest on several

roads which not only earned nothing, but incurred a loss.

The catastrophe of 1873-'74 revealed the fact that the latter

condition of railroad finances was vastly more common than had been

suspected; and it is still doubtful whether the existing immense

network of railroads which covers the United States can be made, as a

whole, to pay even a moderate return on the money invested in their

construction. At the period of maximum rate of extension of railroads

in the United States--1873--the reported lengths of the railroads of

Europe and America were as follows:[94]

[94] _Railroad Gazette._

RAILROADS IN EUROPE AND AMERICA IN 1873.

----------------------------+------------+-------------+------------

COUNTRIES. | Railroads, | Population. | Area,

| Miles. | | Sq. Miles.

----------------------------+------------+-------------+------------

United States | 71,565 | 40,232,000 | 2,492,316

Germany | 12,207 | 40,111,265 | 212,091

Austria | 5,865 | 35,943,592 | 227,234

France | 10,333 | 36,469,875 | 201,900

Russia in Europe | 7,044 | 71,207,794 | 1,992,574

Great Britain, 1872 | 15,814 | 31,817,108 | 120,769

Belgium | 1,301 | 4,839,094 | 11,412

Netherlands | 886 | 3,858,055 | 13,464

Switzerland | 820 | 2,669,095 | 15,233

Italy | 3,667 | 26,273,776 | 107,961

Denmark | 420 | 1,784,741 | 14,453

Spain | 3,401 | 16,301,850 | 182,758

Portugal | 453 | 3,987,867 | 36,510

Sweden and Norway | 1,049 | 5,860,122 | 188,771

Greece | 100 | 1,332,508 | 19,941

----------------------------+------------+-------------+------------

The railroads in Great Britain comprise over 15,000 miles of track now

being worked in the United Kingdom, on which have been expended

$2,800,000,000. This sum is equal to five times the amount of the

annual value of all the real property in Great Britain, and two-thirds

of the national debt. After deducting all the working expenses, the

gross net annual revenue of all the roads exceeds by $110,000,000 the

total revenue from all sources of Belgium, Holland, Portugal, Denmark,

Sweden and Norway. An army of 100,000 officers and servants is in the

employ of the companies, and the value of the rolling-stock exceeds

$150,000,000.

SECTION III.--MARINE ENGINES.

The changes which have now become completed in the marine steam-engine

have been effected at a later date than those which produced the

modern locomotive. On the American rivers the modification of the

beam-engine since the time of Robert L. Stevens has been very slight.

The same general arrangement is retained, and the details are little,

if at all, altered. The pressure of steam is sometimes as high as 60

pounds per square inch.

[Illustration: FIG. 130.--Beam-Engine.]

The valves are of the disk or poppet variety, rising and falling

vertically. They are four in number, two steam and two exhaust valves

being placed at each end of the steam-cylinder. The beam-engine is a

peculiarly American type, seldom if ever seen abroad. Fig. 130 is an

outline sketch of this engine as built for a steamer plying on the

Hudson River. This class of engine is usually adopted in vessels of

great length, light draught, and high speed. But one steam-cylinder is

commonly used. The cross-head is coupled to one end of the beam by

means of a pair of links, and the motion of the opposite end of the

beam is transmitted to the crank by a connecting-rod of moderate

length. The beam has a cast-iron centre surrounded by a wrought-iron

strap of lozenge shape, in which are forged the bosses for the

end-centres, or for the pins to which the connecting-rod and the links

are attached. The main centre of the beam is supported by a

"gallows-frame" of timbers so arranged as to receive all stresses

longitudinally. The crank and shaft are of wrought-iron. The

valve-gear is usually of the form already mentioned as the Stevens

valve-gear, the invention of Robert L. and Francis B. Stevens. The

condenser is placed immediately beneath the steam-cylinder. The

air-pump is placed close beside it, and worked by a rod attached to

the beam. Steam-vessels on the Hudson River have been driven by such

engines at the rate of 20 miles an hour. This form of engine is

remarkable for its smoothness of operation, its economy and

durability, its compactness, and the latitude which it permits in the

change of shape of the long, flexible vessels in which it is generally

used, without injury by "getting out of line."

[Illustration: FIG. 131.--Oscillating Engine and Feathering

Paddle-Wheel.]

For paddle-engines of large vessels, the favorite type, which has been

the side-lever engine, is now rarely built. For smaller vessels, the

oscillating engine with feathering paddle-wheels is still largely

employed in Europe. This style of engine is shown in Fig. 131. It is

very compact, light, and moderately economical, and excels in

simplicity. The usual arrangement is such that the feathering-wheel

has the same action upon the water as a radial wheel of double

diameter. This reduction of the diameter of the wheel, while retaining

maximum effectiveness, permits a high speed of engine, and therefore

less weight, volume, and cost. The smaller wheel-boxes, by offering

less resistance to the wind, retard the progress of the vessel less

than those of radial wheels. Inclined engines are sometimes used for

driving paddle-wheels. In these the steam-cylinder lies in an inclined

position, and its connecting-rod directly connects the crank with the

cross-head. The condenser and air-pump usually lie beneath the

cross-head guides, and are worked by a bell-crank driven by links on

each side the connecting-rod, attached to the cross-head. Such engines

are used to some extent in Europe, and they have been adopted in the

United States navy for side-wheel gunboats. They are also used on the

ferry-boats plying between New York and Brooklyn.

[Illustration: FIG. 132.--The Two Rhode Islands, 1836-1876.]

Among the finest illustrations of recent practice in the construction

of side-wheel steamers are those built for the several routes between

New York and the cities of New England which traverse Long Island

Sound. Our illustration exhibits the form of these vessels, and also

shows well the modifications in structure and size which have been

made during this generation. The later vessel is 325 feet long, 45

feet beam, 80 feet wide over the "guards," and 16 feet deep, drawing

10 feet of water. The "frames" upon which the planking of the hull is

fastened are of white-oak, and the lighter and "top" timbers of cedar

and locust. The engine has a steam-cylinder 90 inches in diameter and

12 feet stroke of piston.[95] On each side the great saloons which

extend from end to end of the upper deck are state-rooms, containing

each two berths and elegantly furnished. The engine of this vessel is

capable of developing about 2,500 horse-power. The great wheels, of

which the paddle-boxes are seen rising nearly to the height of the

hurricane-deck, are 37-1/2 feet in diameter and 12 in breadth. The

hull of this vessel, including all wood-work, weighs over 1,200 tons.

The weight of the machinery is about 625 tons. The steamer makes 16

knots an hour when the engine is at its best speed--about 17

revolutions per minute--and its average speed is about 14 knots on

its route of 160 miles. The coal required to supply the furnaces of

such a vessel and with such machinery would be about 3 tons per hour.

or a little over 2-1/2 pounds per horse-power. The construction of

such a vessel occupies, usually, about a year, and costs a quarter of

a million dollars.

[95] The steam-cylinders of the engines of steamers Bristol and

Providence are 110 inches in diameter and of 12 feet stroke.

[Illustration: FIG. 133.--A Mississippi Steamboat.]

The non-condensing direct-acting engine is used principally on the

Western rivers, driven by steam of from 100 to 150 pounds pressure,

and exhausts its steam into the atmosphere. It is the simplest

possible form of direct-acting engine. The valves are usually of the

"poppet" variety, and are operated by cams which act at the ends of

long levers having their fulcra on the opposite side of the valve, the

stem of which latter is attached at an intermediate point. The engine

is horizontal, and the connecting-rod directly attached to cross-head

and crank-pin without intermediate mechanism. The paddle-wheel is

used, sometimes as a stern-wheel, as in the plan of Jonathan Hulls of

one and a half century ago, sometimes as a side-wheel, as is most

usual elsewhere. One of the most noted of these steamers, plying on

the Mississippi, is shown in the preceding sketch.

One of the largest of these steamers was the Grand Republic,[96] a

vessel 340 feet long, 56 feet beam, and 10-1/4 feet depth. The draught

of water of this great craft was 3-1/2 feet forward and 4-1/2 aft. The

two sets of compound engines, 28 and 56 inches diameter and of 10 feet

stroke, drive wheels 38-1/2 feet in diameter and 18 feet wide. The

boilers were steel. A steamer built still later on the Ohio has the

following dimensions: Length, 225 feet; breadth, 35-1/2 feet; depth, 5

feet; cylinders, 17-3/8 inches in diameter, 6 feet stroke; three

boilers. The hull and cabin were built at Jeffersonville, Ind. She has

40 large state-rooms. The cost of the steamer was $40,000.

[96] Burned in 1877.

These vessels have now opened to commerce the whole extent of the

great Mississippi basin, transporting a large share of the products of

a section of country measuring a million and a half square miles--an

area equal to many times that of New York State, and twelve times that

of the island of Great Britain--an area exceeding that of the whole of

Europe, exclusive of Russia and Turkey, and capable, if as thoroughly

cultivated as the Netherlands, of supporting a population of between

three and four hundred millions of people.

The steam-engine and propelling apparatus of the modern ocean-steamer

have now become almost exclusively the compound or double-cylinder

engine, driving the screw. The form and the location of the machinery

in the vessel vary with the size and character of the ship which it

drives. Very small boats are fitted with machinery of quite a

different kind from that built for large steamers, and war-vessels

have usually been supplied with engines of a design radically

different from that adopted for merchant-steamers.

[Illustration: FIG. 134.--Steam-Launch, New York Steam-Power Company.]

The introduction of _Steam-Launches_ and small pleasure-boats driven

by steam-power is of comparatively recent date, but their use is

rapidly increasing. Those first built were heavy, slow, and

complicated; but, profiting by experience, light and graceful boats

are now built, of remarkable swiftness, and having such improved and

simplified machinery that they require little fuel and can be easily

managed. Such boats have strong, carefully-modeled hulls, light and

strong boilers, capable of making a large amount of dry steam with

little fuel, and a light, quick-running engine, working without shake

or jar, and using steam economically.

[Illustration: FIG. 135.--Launch-Engine.]

The above sketch represents the engine built by a New York firm for

such little craft. This is the smallest size made for the market. It

has a steam-cylinder 3 inches in diameter and a stroke of piston of 5

inches, driving a screw 26 inches in diameter and of 3 feet pitch. The

maximum power of the engine is four or five times the nominal power.

The boiler is of the form shown in the illustrations of semi-portable

engines, and has a heating-surface, in this case, of 75 square feet.

The boat itself is like that seen on page 386, and is 25 feet long, of

5 feet 8 inches beam, and draws 2-1/4 feet of water. These little

machines weigh about 150 pounds per nominal horse-power, and the

boilers about 300.

Some of these little vessels have attained wonderful speed. A British

steam-yacht, the Miranda, 45-1/2 feet in length, 5-3/4 feet wide, and

drawing 2-1/2 feet of water, with a total weight of 3-3/4 tons, has

steamed nearly 18-1/2 miles an hour for short runs. The boat was

driven by an engine of 6 inches diameter of cylinder and 8 inches

stroke of piston, making 600 revolutions per minute, driving a

two-bladed screw 2-1/2 feet in diameter and of 3-1/3 feet pitch. Its

machinery had a total weight of two tons. Another English yacht, the

Firefly, is said to have made 18.94 miles an hour. A little French

yacht, the Hirondelle, has attained a speed of 16 knots, equal to

about 18-1/2 miles, an hour. This was, however, a much larger vessel

than the preceding. One of the most remarkable of these little

steamers is a torpedo-boat built for the United States navy. This

vessel is 60 feet long, 6 feet wide, and 5 feet deep; its screw is 38

inches in diameter and of 5 feet pitch, two-bladed, and is driven, by

a very light engine and boiler, 400 revolutions per minute, the boat

attaining a speed of 19 to 20 miles an hour. Another little vessel,

the Vision, made nearly as great speed, developing 20 horse-power with

engine and boiler weighing but about 400 pounds.

Yachts of high speed require such weight and bulk of engine that but

little space is left for cabins, and they are usually exceedingly

uncomfortable vessels. In the Miranda the weight of machinery is more

than one-half the total weight of the whole. An illustration of the

more comfortable and more generally liked pleasure-yacht is the Day

Dream. The length is 105 feet, and the boat draws 5-1/2 feet of

water. There are two engines, having steam-cylinders 14 inches in

diameter and of the same length of stroke, direct-acting, condensing,

and driving a screw, of 7 feet diameter and of 10-1/2 feet pitch, 135

revolutions a minute, giving the yacht a speed of 13-1/2 knots an

hour.

[Illustration: FIG. 136.--Horizontal, Direct-acting Naval

Screw-Engine.]

In larger vessels, as in yachts, in nearly all cases, the ordinary

screw-engine is direct-acting. Two engines are placed side by side,

with cranks on the shaft at an angle of 90 deg. with each other. In

merchant-steamers the steam-cylinders are usually vertical and

directly over the crank-pins, to which the cross-heads are coupled.

The condenser is placed behind the engine-frame, or, where a

jet-condenser is used, the frame itself is sometimes made hollow, and

serves as a condenser. The air-pump is worked by a beam connected by

links with the cross-head. The general arrangement is like that shown

in Figs. 137 and 138. For naval purposes such a form is objectionable,

since its height is so great that it would be exposed to injury by

shot. In naval engineering the cylinder is placed horizontally, as in

Fig. 136, which is a sectional view, representing an horizontal,

direct-acting naval screw-engine, with jet-condenser and double-acting

air and circulating pumps. _A_ is the steam-cylinder, _B_ the piston,

which is connected to the crank-pin by the piston-rod, _D_, and

connecting-rod, _E_. _F_ is the cross-head guide. The eccentrics,

_G_, operate the valve, which is of the "three-ported variety," by a

Stephenson link. Reversing is effected by the hand-wheel, _C_, which,

by means of a gear, _m_, and a rack, _k_, elevates and depresses the

link, and thus reverses the valve.

[Illustration: FIG. 137.--Compound Marine Engine. Side Elevation.]

The trunk-engine, in which the connecting-rod is attached directly to

the piston and vibrates within a trunk or cylinder secured to the

piston, moving with it, and extending outside the cylinder, like an

immense hollow piston-rod, is frequently used in the British navy. It

has rarely been adopted in the United States.

[Illustration: FIG. 138.--Compound Marine Engine. Front Elevation and

Section.]

In nearly all steam-vessels which have been built for the merchant

service recently, and in some naval vessels, the compound engine has

been adopted. Figs. 137 and 138 represent the usual form of this

engine. Here _A A_, _B B_ are the small and the large, or the

high-pressure and the low-pressure cylinders respectively. _C C_ are

the valve-chests. _G G_ is the condenser, which is invariably a

surface-condenser. The condensing water is sometimes directed around

the tubes contained within the casing, _G G_, while the steam is

exhausted around them and among them, and sometimes the steam is

condensed within the tubes, while the injection-water which is sent

into the condenser to produce condensation passes around the exterior

of the tubes. In either case, the tubes are usually of small diameter,

varying from five-eighths to half an inch, and in length from four to

seven feet. The extent of heating-surface is usually from one-half to

three-fourths that of the heating-surface of the boilers.

The air and circulating pumps are placed on the lower part of the

condenser-casting, and are operated by a crank on the main shaft at

_N_; or they are sometimes placed as in the style of engine last

described, and driven by a beam worked by the cross-head. The

piston-rods, _T S_, are guided by the cross-heads, _V V_, working in

slipper-guides, and to these cross-heads are attached the

connecting-rods, _X X_, driving the cranks, _M M_. The cranks are now

usually set at right angles; in some engines this angle is increased

to 120 deg., or even 180 deg.. Where it is arranged as here shown, an

intermediate reservoir, _P O_, is placed between the two cylinders to

prevent the excessive variations of pressure that would otherwise

accompany the varying relative motions of the pistons, as the steam

passes from the high-pressure to the low-pressure cylinder. Steam from

the boilers enters the high-pressure steam-chest, _X_, and is admitted

by the steam-valve alternately above and below the piston as usual.

The exhaust steam is conducted through the exhaust passage around into

the reservoir, _P_, whence it it is taken by the low-pressure

cylinder, precisely as the smaller cylinder drew its steam from the

boiler. From the large or low-pressure cylinder the steam is exhausted

into the condenser. The valve-gear is usually a Stephenson link, _g

e_, the position of which is determined, and the reversal of which is

accomplished, by a hand-wheel, _o_, and screw, _m n p_, which, by the

bell-crank, _k i_, are attached to the link, _g e_. The "box-framing"

forms also the hot-well. The surface-condenser is cleared by a

single-acting air-pump, inside the frame, at _T_. The feed-pump and

the bilge-pumps are driven from the cross-head of the air-pump.

[Illustration: John Elder.]

The successful introduction of the double-cylinder engine was finally

accomplished by the exertions of a few engineers, who were at once

intelligent enough to understand its advantages, and energetic and

enterprising enough to push it forward in spite of active opposition,

and powerful enough, pecuniarily and in influence, to succeed. The

most active and earnest of these eminent men was John Elder, of the

firm of Randolph, Elder & Co., subsequently John Elder & Co., of

Glasgow.[97]

[97] _Vide_ "Memoir of John Elder," W. J. M. Rankine, Glasgow, 1871.

Elder was of Scotch descent. His ancestors had, for generations,

shown great skill and talent in construction, and had always been

known as successful millwrights. John Elder was born at Glasgow, March

8, 1824, and died in London, September 17, 1869. He was educated at

the Glasgow High-School and in the College of Engineering at the

University of Glasgow, where, however, his attendance was but for a

short time. He learned the trade under his father in the workshops of

the Messrs. Napier, and became an unusually expert draughtsman. After

spending three years in charge of the drawing-office at the

engine-building works of Robert Napier, where his father had been

manager, Elder became a partner in the firm which had previously been

known as Randolph, Elliott & Co., in the year 1852. The firm commenced

building iron vessels in 1860.

In the mean time, the experiments of Hornblower and Wolff, of Allaire

and Smith, and of McNaught, Craddock, and Nicholson, together with the

theoretical investigations of Thompson, Rankine, Clausius, and others,

had shown plainly in what direction to look for improvement upon then

standard engines, and what direction practice was taking with all

types. The practical deductions which were becoming evident were

recognized very early by Elder, and he promptly began to put in

practice the principles which his knowledge of thermo-dynamics and of

mechanics enabled him to appreciate. He adopted the compound engine,

and coupled his cranks at angles of 180 deg., in order to avoid losses due

to the friction of the crank-shaft in its bearings, by effecting a

partial counterbalancing of pressures on the journals. Elder was one

of the first to point out the fact that the compound engine had proved

itself more efficient than the single-cylinder engine, only when the

pressure of steam carried and the extent to which expansion was

adopted exceeded the customary practice of his time. His own practice

was, from the first, successful, and from 1853 to 1867 he and his

partners were continually engaged in the construction of steamers and

fitting them with compound engines.

The engines of their first vessel, the Brandon, required but 3-1/4

pounds of coal per hour and per horse-power, in 1854, when the usual

consumption was a third more. Five years later, they had built engines

which consumed a third less than those of the Brandon; and

thenceforward, for many years, their engines, when of large size,

exhibited what was then thought remarkable economy, running on a

consumption of from 2-1/4 to 2-1/2 pounds.

In the year 1865 the British Government ordered a competitive trial of

three naval vessels, which only differed in the form of their engines.

The Arethusa was fitted with trunk-engines of the ordinary kind; the

Octavia had three steam-cylinders, coupled to three cranks placed at

angles of 120 deg. with each other; and the Constance was fitted with

compound engines, two sets of three cylinders each, and each taking

steam from the boiler into one cylinder, passing it through the other

two with continuous expansion, and finally exhausting from the third

into the condenser. These vessels, during one week's steaming at sea,

averaged, respectively, 3.64, 3.17, and 2.51 pounds of coal per hour

and per horse-power, and the Constance showed a marked superiority in

the efficiency of the mechanism of her engines, when the losses by

friction were compared.

The change from the side-lever single-cylinder engine, with

jet-condenser and paddle-wheels, to the direct-acting compound engine,

with surface-condenser and screw-propellers, has occurred within the

memory and under the observation of even young engineers, and it may

be considered that the revolution has not been completely effected.

This change in the design of engine is not as great as it at first

seemed likely to become. Builders have but slowly learned the

principles stated above in reference to expansion in one or more

cylinders, and the earlier engines were made with a high and low

pressure cylinder working on the same connecting-rod, and each machine

consisted of four steam-cylinders. It was at last discovered that a

high-pressure single-cylinder engine exhausting into a separate

larger low-pressure engine might give good results, and the compound

engine became as simple as the type of engine which it displaced. This

independence of high and low pressure engines is not in itself novel,

for the plan of using the exhaust of a high-pressure engine to drive a

low-pressure condensing engine was one of the earliest of known

combinations.

The advantage of introducing double engines at sea is considerably

greater than on land. The coal carried by a steam-vessel is not only

an item of great importance in consequence of its first cost, but,

displacing its weight or bulk of freight which might otherwise be

carried, it represents so much non-paying cargo, and is to be charged

with the full cost of transportation in addition to first cost. The

best of steam-coal is therefore usually chosen for steamers making

long voyages, and the necessity of obtaining the most economical

engines is at once seen, and is fully appreciated by steamship

proprietors. Again, an economy of one-fourth of a pound per

horse-power per hour gives, on a large transatlantic steamer, a saving

of about 100 tons of coal for a single voyage. To this saving of cost

is to be added the gain in wages and sustenance of the labor required

to handle that coal, and the gain by 100 tons of freight carried in

place of the coal.

For many years the change which has here been outlined, in the forms

of engine and the working of steam expansively, was retarded by the

inefficiency of methods and tools used in construction. With gradual

improvement in tools and in methods of doing work, it became possible

to control higher steam and to work it successfully; and the change in

this direction has been steadily going on up to the present time with

all types of steam-engine. At sea this rise of pressure was for a

considerable time retarded by the serious difficulty encountered in

the tendency of the sulphate of lime to deposit in the boiler. When

steam-pressure had risen to 25 pounds per square inch, it was found

that no amount of "blowing out" would prevent the deposition of

seriously large quantities of this salt, while at the lower pressures

at first carried at sea no troublesome precipitation occurred, and the

only precaution necessary was to blow out sufficient brine to prevent

the precipitation of common salt from a supersaturated solution. The

introduction of surface-condensation was promptly attempted as the

remedy for this evil, but for many years it was extremely doubtful

whether its disadvantages were not greater than its advantages. It was

found very difficult to keep the condensers tight, and boilers were

injured by some singular process of corrosion, evidently due to the

presence of the surface-condenser. The simple expedient of permitting

a very thin scale to form in the boiler was, after a time, hit upon as

a means of overcoming this difficulty, and thenceforward the greatest

obstacle to the general introduction was the conservative disposition

found among those who had charge of marine machinery, which

conservatism regarded with suspicion every innovation. Another trouble

arose from the difficulty of finding men neither too indolent nor too

ignorant to take charge of the new condenser, which, more complicated

and more readily disarranged than the old, demanded a higher class of

attendants. Once introduced, however, the surface-condenser removed

the obstacle to further elevation of steam-pressure, and the rise from

20 to 60 pounds pressure soon occurred. Elder and his competitors on

the Clyde were the first to take advantage of the fact when these

higher pressures became practicable.

The lightness of engine and the smaller weight of boiler secured when

the simpler type of "compound" engine is used are great advantages,

and, when coupled with the fact that by no other satisfactory device

can great expansion and consequent economy of fuel be obtained at sea,

the advantages are such as to make the adoption of this style of

engine imperative for ship-propulsion.

This extreme lightness in machinery has been largely, also, the result

of very careful and skillful designing, of intelligent construction,

and of care in the selection and use of material. British builders

had, until after the introduction of these later types of

vessels-of-war, been distinguished rather by the weight of their

machinery than for nice calculation and proportioning of parts. Now

the engines of the heavy iron-clads are models of good proportions,

excellence in materials, and of workmanship, which are well worthy of

study. The weight per indicated horse-power has been reduced from 400

or 500 pounds to less than half that amount within the last ten years.

This has been accomplished by forcing the boilers--although thus, to

some extent, losing economy--by higher steam-pressure, a very much

higher piston-speed, reduction of friction of parts, reduction of

capacity for coal-stowage, and exceedingly careful proportioning.

The reduction of coal-bunker capacity is largely compensated by

the increase of economy secured by superheating, by increased

expansion, elevation of piston-speed, and the introduction of

surface-condensation.

A good marine steam-engine of the form which was considered standard

15 or 20 years ago, having low-pressure boilers carrying steam at 20

or 25 pounds pressure as a maximum, expanding twice or three times,

and having a jet-condenser, would require about 30 or 35 pounds of

feed-water per horse-power per hour; substituting surface-condensation

for that produced by the jet brought down the weight of steam used to

from 25 to 30 pounds; increasing steam-pressure to 60 pounds,

expanding from five to eight times, and combining the special

advantages of the superheater and the compound engine with

surface-condensation, has reduced the consumption of steam to 20, or

even, in some cases, 15 pounds of steam per horse-power per hour.

Messrs. Perkins, of London, guarantee, as has already been stated, to

furnish engines capable of giving a horse-power with a consumption of

but 1-1/4 pound of coal. Mr. C. E. Emery reports the United States

revenue-steamer Hassler, designed by him, to have given an ordinary

sea-going performance which is probably fully equal to anything yet

accomplished. The Hassler is a small steamer, of but 151 feet in

length, 24-1/2 feet beam, and 10 feet draught. The engines have

steam-cylinders 18.1 and 28 inches diameter, respectively, and of 28

inches stroke of piston, indicating 125 horse-power; with steam at 75

pounds pressure, and at a speed of but 7 knots, the coal consumed was

but 1.87 pound per horse-power per hour.

The committee of the British Admiralty on designs of ships-of-war have

reported recently: "The carrying-power of ships may certainly be to

some extent increased by the adoption of compound engines in her

Majesty's service. Its use has recently become very general in the

mercantile marine, and the weight of evidence in favor of the large

economy of fuel thereby gained is, to our minds, overwhelming and

conclusive. We therefore beg earnestly to recommend that the use of

compound engines may be generally adopted in ships-of-war hereafter to

be constructed, and applied, whenever it can be done with due regard

to economy and to the convenience of the service, to those already

built."

The forms of screws now employed are exceedingly diverse, but those in

common use are not numerous. In naval vessels it is common to apply

screws of two blades, that they may be hoisted above water into a

"well" when the vessel is under sail, or set with the two blades

directly behind the stern-post, when their resistance to the forward

motion of the vessel will be comparatively small. In other vessels,

and in the greater number of full-power naval vessels, screws of three

or four blades are used.

The usual form of screw (Fig. 139) has blades of nearly equal breadth

from the hub to the periphery, or slightly widening toward their

extremities, as is seen in an exaggerated degree in Fig. 140,

representing the form adopted for tug-boats, where large surface near

the extremity is more generally used than in vessels of high speed

running free. In the Griffith screw, which has been much used, the hub

is globular and very large. The blades are secured to the hub by

flanges, and are bolted on in such a manner that their position may be

changed slightly if desired. The blades are shaped like the section of

a pear, the wider part being nearest the hub, and the blades tapering

rapidly toward their extremities. A usual form is intermediate between

the last, and is like that shown in Fig. 141, the hub being

sufficiently enlarged to permit the blades to be attached as in the

Griffith screw, but more nearly cylindrical, and the blades having

nearly uniform width from end to end.

[Illustration: FIG. 139.--Screw-Propeller.]

[Illustration: FIG. 140.--Tug-boat Screw.]

[Illustration: FIG. 141.--Hirsch Screw.]

The pitch of a screw is the distance which would be traversed by the

screw in one revolution were it to move through the water without

slip; i. e., it is double the distance _C D_, Fig. 140. _C D'_

represents the helical path of the extremity of the blade _B_, and _O

E F H K_ is that of the blade _A_. The proportion of diameter to the

pitch of the screw is determined by the speed of the vessel. For low

speed the pitch may be as small as 1-1/4 the diameter. For vessels of

high speed the pitch is frequently double the diameter. The diameter

of the screw is made as great as possible, since the slip decreases

with the increase of the area of screw-disk. Its length is usually

about one-sixth of the diameter. A greater length produces loss by

increase of surface causing too great friction, while a shorter screw

does not fully utilize the resisting power of the cylinder of water

within which it works, and increased slip causes waste of power. An

empirical value for the probable slip in vessels of good shape, which

is closely approximate usually, is _S_ = 4(_M_/_A_), in which _S_ is

the slip per cent., and _M_ and _A_ are the areas of the midship

section and of the screw-disk in square feet.

The most effective screws have slightly greater pitch at the periphery

than at the hub, and an increasing pitch from the forward to the rear

part of the screw. The latter method of increasing pitch is more

generally adopted alone. The thrust of the screw is the pressure which

it exerts in driving the vessel forward. In well-formed vessels, with

good screws, about two-thirds of the power applied to the screw is

utilized in propulsion, the remainder being wasted in slip and other

useless work. Its efficiency is in such a case, therefore, 66 per

cent. Twin screws, one on each side of the stern-post, are sometimes

used in vessels of light draught and considerable breadth, whereby

decreased slip is secured.

As has already been stated, the introduction of the compound engine

has been attempted, but with less success than in Europe, by several

American engineers.

The most radical change in the methods of ship-propulsion which has

been successfully introduced in some localities has been the adoption

of a system of "wire-rope towage." It is only well adapted for cases

in which the steamer traverses the same line constantly, moving

backward and forward between certain points, and is never compelled to

deviate to any considerable extent from the path selected. A similar

system is in use in Canada, but it has not yet come into use in the

United States, notwithstanding the fact that, wherever its adoption is

practicable, it has a marked superiority in economy over the usual

methods of propulsion. With chain or rope traction there is no loss by

slip or oblique action, as in both screw and paddle-wheel propulsion.

In the latter methods these losses amount to an important fraction of

the total power; they rarely, if ever, fall below a total of 25 per

cent., and probably in towage exceed 50 per cent. The objection to the

adoption of chain-propulsion, as it is also often called, is the

necessity of following closely the line along which the chain or the

rope is laid. There is, however, much less difficulty than would be

anticipated in following a sinuous route or in avoiding obstacles in

the channel or passing other vessels. The system is particularly well

adapted for use on canals.

The steam-boilers in use in the later and best marine engineering

practice are of various forms, but the standard types are few in

number. That used on river-steamers in the United States has already

been described.

[Illustration: FIG. 142.--Marine Fire-tubular Boiler. Section.]

Fig. 142 is a type of marine tubular boiler which is in most extensive

use in sea-going steamers for moderate pressure, and particularly for

naval vessels. Here the gases pass directly into the back connection

from the fire, and thence forward again, through horizontal tubes, to

the front connection and up the chimney. In naval vessels the

steam-chimney is omitted, as it is there necessary to keep all parts

of the boiler as far below the water-line as possible. Steam is taken

from the boiler by pipes which are carried from end to end of the

steam-space, near the top of the boiler, the steam entering these

pipes through small holes drilled on the other side. Steam is thus

taken from the boiler "wet," but no large quantity of water can

usually be "entrained" by the steam.

A marine boiler has been quite extensively introduced into the United

States navy, in which the gases are led from the back connection

through a tube-box around and among a set of upright water-tubes,

which are filled with water, circulation taking place freely from the

water-space immediately above the crown-sheet of the furnace up

through these tubes into the water-space above them. These

"water-tubular" boilers have a slight advantage over the

"fire-tubular" boilers already described in compactness, in steaming

capacity, and in economical efficiency. They have a very marked

advantage in the facility with which the tubes may be scraped or freed

from the deposit when a scale of sulphate of lime or other salt has

formed within them by precipitation from the water. The fire-tubular

boiler excels in convenience of access for plugging up leaking tubes,

and is much less costly than the water-tubular. The water-tube class

of boilers still remain in extensive use in the United States naval

steamers. They have never been much used in the merchant service,

although introduced by James Montgomery in the United States and by

Lord Dundonald in Great Britain twenty years earlier. Opinion still

remains divided among engineers in regard to their relative value.

They are gradually reassuming prominence by their introduction in the

modified form of sectional boilers.

[Illustration: FIG. 143.--Marine High-Pressure Boiler. Section.]

Marine boilers are now usually given the form shown in section in Fig.

143. This form of boiler is adopted where steam-pressures of 60

pounds and upward are carried, as in steam-vessels supplied with

compound engines, cylindrical forms being considered the best with

high pressures. The large cylindrical flues, therefore, form the

furnaces as shown in the transverse sectional view. The gases rise, as

shown in the longitudinal section, through the connection, and pass

back to the end of the boiler through the tubes, and thence, instead

of entering a steam-chimney, they are conducted by a smoke-connection,

not shown in the sketch, to the smoke funnel or stack. In

merchant-steamers, a steam-drum is often mounted horizontally above

the boiler. In other cases a separator is attached to the steam-pipe

between boilers and engines. This usually consists of an iron tank,

divided by a vertical partition extending from the top nearly to the

bottom. The steam, entering the top at one side of this partition,

passes underneath it, and up to the top on the opposite side, where it

issues into a steam-pipe leading directly to the engine. The sudden

reversal of its course at the bottom causes it to leave the suspended

water in the bottom of the separator, whence it is drained off by

pipes.

The most interesting illustrations of recent practice in marine

engineering and naval architecture are found in the steamers which are

now seen on transoceanic routes for the merchant service, and, in the

naval service, in the enormous iron-clads which have been built in

Great Britain.

The City of Peking is one of the finest examples of American practice.

This vessel was constructed for the Pacific Mail Company. The hull is

423 feet long, of 48 feet beam, and 38-1/2 feet deep. Accommodations

are furnished for 150 cabin and 1,800 steerage passengers, and the

coal-bunkers "stow" 1,500 tons of coal. The iron plates of which the

sides and bottom are made are from 11/16 to one inch in thickness. The

weight of iron used in construction was about 5,500,000 pounds. The

machinery weighed nearly 2,000,000 pounds, with spare gear and

accessory apparatus. The engines are compound, with two

steam-cylinders of 51 inches and two of 88 inches diameter, and a

stroke of piston of 4-1/2 feet. The condensing water is sent through

the surface-condensers by circulating-pumps driven by their own

engines. Ten boilers furnish steam to these engines, each having a

diameter of 13 feet, a length of 13-1/2 feet, and a thickness of

"shell" of 13/16 inch. Each has three furnaces, and contains 204

tubes of an outside diameter of 3-1/4 inches. All together, they

have 520 square feet of grate-surface and 17,000 square feet of

heating-surface. The area of cooling-surface in the condensers is

10,000 square feet. The City of Rome, a ship of later design, is 590

feet long, "over all," 52 feet beam, 52 feet deep, and measures 8,300

tons. The engines, of 8,500 horse-power, will drive the vessel 18

knots (21 miles) an hour; they have six steam-cylinders (three high

and three low pressure), and are supplied with steam by 8 boilers

heated by 48 furnaces. The hull is of steel, the bottom double, and

the whole divided into ten compartments by transverse bulkheads. Two

longitudinal bulkheads in the engine and boiler compartments add

greatly to the safety of the vessel.

The most successful steam-vessels in general use are these

screw-steamers of transoceanic lines. Those of the transatlantic lines

are now built from 350 to 550 feet long, generally propelled from 12

to 18 knots (14 to 21 miles) an hour, by engines of from 3,000 to

8,000 horse-power, consuming from 70 to 250 tons of coal a day, and

crossing the Atlantic in from eight to ten days. These vessels are now

invariably fitted with the compound engine and surface-condensers. One

of these vessels, the Germanic, has been reported at Sandy Hook, the

entrance to New York Harbor, in 7 days 11 hours 37 minutes from

Queenstown--a distance, as measured by the log and by observation, of

2,830 miles. Another steamer, the Britannic, has crossed the Atlantic

in 7 days 10 hours and 53 minutes. These vessels are of 5,000 tons

burden, of 750 "nominal" horse-power (probably 5,000 actual).

[Illustration: FIG. 144.--The Modern Steamship.]

The modern steamship is as wonderful an illustration of ingenuity and

skill in all interior arrangements as in size, power, and speed. The

size of sea-going steamers has become so great that it is unsafe to

intrust the raising of the anchor or the steering of the vessel to

manual power and skill; and these operations, as well as the loading

and unloading of the vessel, are now the work of the same great

motor--steam.

The now common form of auxiliary engine for controlling the helm is

one of the inventions of the American engineer F. E. Sickels, who

devised the "Sickels cut-off," and was first invented about 1850. It

was exhibited at London at the International Exhibition of 1851. It

consists[98] principally of two cylinders working at right angles upon

a shaft geared into a large wheel fastened by a friction-plate lined

with wood, and set by a screw to any desired pressure on the

steering-apparatus. The wheel turned by the steersman is connected

with the valve-gear of the cylinders, so that the steam, or other

motor, will move the rudder precisely as the helmsman moves the wheel

adjusting the steam-valves. This wheel thus becomes the

steering-wheel. The apparatus is usually so arranged that it may be

connected or disconnected in an instant, and hand-steering adopted if

the smoothness of the sea and the low speed of the vessel make it

desirable or convenient. This method was first adopted in the United

States on the steamship Augusta.

[98] "Official Catalogue," 1862, vol. iv., Class viii., p. 123.

The same inventor and others have contrived "steam-windlasses," some

of which are in general use on large vessels. The machinery of these

vessels is also often fitted with a steam "reversing-gear," by means

of which the engines are as easily man[oe]uvred as are those of the

smallest vessels, to which hand-gear is always fitted. In one of these

little auxiliary engines, as devised by the author, a small handle

being adjusted to a marked position, as to the point marked "stop" on

an index-plate, the auxiliary engine at once starts, throws the

valve-gear into the proper position--as, if a link-motion, into

"middle-gear"--thus stopping the large engines, and then it itself

stops. Setting the handle so that its pointer shall point to "ahead,"

the little engine starts again, sets the link in position to go ahead,

thus starting the large engines, and again stops itself. If set at

"back," the same series of operations occurs, leaving the main engines

backing and the little "reversing engine" stopped. A number of forms

of reversing engine are in use, each adapted to some one type of

engine.

The hull of the transatlantic steamer is now always of iron, and is

divided into a number of "compartments," each of which is water-tight

and separated from the adjacent compartments by iron "bulkheads," in

which are fitted doors which, when closed, are also water-tight. In

some cases these doors close automatically when the water rises in the

vessel, thus confining it to the leaking portion.

Thus we have already seen a change in transoceanic lines from steamers

like the Great Western (1837), 212 feet in length, of 35-1/2 feet

beam, and 23 feet depth, driven by engines of 450 horse-power, and

requiring 15 days to cross the Atlantic, to steamships over 550 feet

long, 55 feet beam, and 55 feet deep, with engines of 10,000

horse-power, crossing the Atlantic in 7 days; iron substituted for

wood in construction, the cost of fuel reduced one-half, and the speed

raised from 8 to 18 knots and over. In the earlier days of steamships

they were given a proportion of length to breadth of from 5 to 6 to 1;

in forty years the proportion increased until 11 to 1 was reached.

The whole naval establishment of every country has been greatly

modified by the recent changes in methods of attack and defense; but

the several classes of ships which still form the naval marine are all

as dependent upon their steam-machinery as ever.

[Illustration: H. B. M. Iron-Clad Captain. H. B. M. Iron-Clad

Thunderer. U. S. Iron-Clad Dictator. U. S. Iron-Clad Monitor. H. B. M.

Iron-Clad Giatton. French Iron-Clad Dunderberg. FIG. 145.--Modern

Iron-Clads.]

It is only recently that the attempt seems to have been made to

determine a classification of war-vessels and to plan a naval

establishment which shall be likely to meet fully the requirements of

the immediate future. It has hitherto been customary simply to make

each ship a little stronger, faster, or more powerful to resist or to

make attack than was the last. The fact that the direction of

progress in naval science and architecture is plainly perceivable, and

that upon its study may be based a fair estimate of the character and

relative distribution of several classes of vessels, seems to have

been appreciated by very few.

In the year 1870 the writer proposed[99] a classification of vessels

other than torpedo-vessels, which has since been also proposed in a

somewhat modified form by Mr. J. Scott Russell.[100] The author then

remarked that the increase so rapidly occurring in weight of ordnance

and of armor, and in speed of war-vessels, would probably soon compel

a division of the vessels of every navy into three classes of ships,

exclusive of torpedo-vessels, one for general service in time of

peace, the others for use only in time of war.

[99] _Journal Franklin Institute_, 1870. H. B. M. S. Monarch.

[100] London _Engineering_, 1875.

"The first class may consist of unarmored vessels of moderate size,

fair speed under steam, armed with a few tolerably heavy guns, and

carrying full sail-power.

"The second class may be vessels of great speed under steam,

unarmored, carrying light batteries and as great spread of canvas as

can readily be given them; very much such vessels as the Wampanoag

class of our own navy were intended to be--calculated expressly to

destroy the commerce of an enemy.

"The third class may consist of ships carrying the heaviest possible

armor and armament, with strongly-built bows, the most powerful

machinery that can be given them, of large coal-carrying capacity, and

unencumbered by sails, everything being made secondary to the one

object of obtaining victory in contending with the most powerful of

possible opponents. Such vessels could never go to sea singly, but

would cruise in couples or in squadrons. It seems hardly doubtful that

attempts to combine the qualities of all classes in a single vessel,

as has hitherto been done, will be necessarily given up, although the

classification indicated will certainly tend largely to restrict naval

operations."

The introduction of the stationary, the floating, and the automatic

classes of torpedoes, and of torpedo-vessels, has now become

accomplished, and this element, which it was predicted by Bushnell and

by Fulton three-quarters of a century ago would at some future time

become important in warfare, is now well recognized by all nations.

How far it may modify future naval establishments cannot be yet

confidently stated, but it seems sufficiently evident that the attack,

by any navy, of stationary defenses protected by torpedoes is now

quite a thing of the past. It may be perhaps looked upon as

exceedingly probable that torpedo-ships of very high speed will yet

drive all heavily-armored vessels from the ocean, thus completing the

historic parallel between the man-in-armor of the middle ages and the

armored man-of-war of our own time.[101]

[101] _Vide_ "Report on Machinery and Manufactures, etc., at

Vienna," by the author, Washington, 1875.

Of these classes, the third is of most interest, as exhibiting most

perfectly the importance and variety of the work which the

steam-engine is made to perform. On the later of these vessels, the

anchor is raised by a steam anchor-hoisting apparatus; the heavier

spars and sails are handled by the aid of a steam-windlass; the helm

is controlled by a steering-engine, and the helmsman, with his little

finger, sets in motion a steam-engine, which adjusts the rudder with a

power which is unimpeded by wind or sea, and with an exactness that

could not be exceeded by the hand-steering gear of a yacht; the guns

are loaded by steam, are elevated or depressed, and are given lateral

training, by the same power; the turrets in which the guns are incased

are turned, and the guns are whirled toward every point of the

compass, in less time than is required to sponge and reload them; and

the ship itself is driven through the water by the power of ten

thousand horses, at a speed which is only excelled on land by that of

the railroad-train.

The British Minotaur was one of the earlier iron-clads. The great

length and consequent difficulty of man[oe]uvring, the defect of

speed, and the weakness of armor of these vessels have led to the

substitution of far more effective designs in later constructions. The

Minotaur is a four-masted screw iron-clad, 400 feet long, of 59 feet

beam and 26-1/2 feet draught of water. Her speed at sea is about

12-1/2 knots, and her engines develop, as a maximum, nearly 6,000

indicated horse-power. Her heaviest armor-plates are but 6 inches in

thickness. Her extreme length and her unbalanced rudder make it

difficult to turn rapidly. With _eighteen men at the steering-wheel_

and sixty others on the tackle, the ship, on one occasion, was 7-1/2

minutes in turning completely around. These long iron-clads were

succeeded by the shorter vessels designed by Mr. E. J. Reed, of which

the first, the Bellerophon, was of 4,246 tons burden, 300 feet long by

56 feet beam, and 24-1/2 feet draught, of the 14-knot speed, with

4,600 horse-power; and having the "balanced rudder" used many years

earlier in the United States by Robert L. Stevens,[102] it can turn in

four minutes with eight men at the wheel. The cost of construction was

some $600,000 less than that of the Minotaur. A still later vessel,

the Monarch, was constructed on a system quite similar to that known

in the United States as the Monitor type, or as a turreted iron-clad.

This vessel is 330 feet long, 57-1/2 feet wide, and 36 feet deep,

drawing 24-1/2 feet of water. The total weight of ship and contents is

over 8,000 tons, and the engines are of over 8,500 horse-power. The

armor is 6 and 7 inches thick on the hull, and 8 inches on the two

turrets, over a heavy teak backing. The turrets contain each two

12-inch rifled guns, weighing 25 tons each, and, with a charge of 70

pounds of powder, throwing a shot of 600 pounds weight with a velocity

of 1,200 feet per second, and giving it a _vis viva_ equivalent to the

raising of over 6,100 tons one foot high, and equal to the work of

penetrating an iron plate 13-1/2 inches thick. This immense vessel is

driven by a pair of "single-cylinder" engines having steam-cylinders

_ten feet_ in diameter and of 4-1/2 feet stroke of piston, driving a

two-bladed Griffith screw of 23-1/2 feet diameter and 26-1/2 feet

pitch, 65 revolutions, at the maximum speed of 14.9 knots, or about

17-1/2 miles, an hour. To drive these powerful engines, boilers having

an aggregate of about 25,000 square feet (or more than a half-acre) of

heating-surface are required, with 900 square feet of grate-surface.

The refrigerating surface in the condensers has an area of 16,500

square feet--over one-third of an acre. The cost of these engines and

boilers was L66,500.

[102] Still in use on the Hoboken ferry-boats.

Were all this vast steam-power developed, giving the vessel a speed of

15 knots, the ship, if used as a "ram," would strike an enemy at rest

with the tremendous "energy" of 48,000 foot-tons--equal to the shock

of the projectiles of eight or nine such guns as are carried by the

iron-clad itself, simultaneously discharged upon one spot.

But even this great vessel is less formidable than later vessels. One

of the latter, the Inflexible, is a shorter but wider and deeper ship

than the Monarch, measuring 320 feet long, 75 feet beam, and 25

draught, displacing over 10,000 tons. The great rifles carried by this

vessel weigh 81 tons each, throwing shot weighing a half-ton from

behind iron-plating two feet in thickness. The steam-engines are of

about the same power as those of the Monarch, and give this enormous

hull a speed of 14 knots an hour.

The navy of the United States does not to-day possess iron-clads of

power even approximating that of either of several classes of British

and other foreign naval vessels.

The largest vessel of any class yet constructed is the Great Eastern

(Fig. 146), begun in 1854 and completed in 1859, by J. Scott Russell,

on the Thames, England. This ship is 680 feet long, 83 feet wide, 58

feet deep, 28 feet draught, and of 24,000 tons measurement. There are

four paddle and four screw engines, the former having steam-cylinders

74 inches in diameter, with 14 feet stroke, the latter 84 inches in

diameter and 4 feet stroke. They are collectively of 10,000 actual

horse-power. The paddle-wheels are 56 feet in diameter, the screw 24

feet. The steam-boilers supplying the paddle-engines have 44,000

square feet (more than an acre) of heating-surface. The boilers

supplying the screw-engines are still larger. At 30 feet draught, this

great vessel displaces 27,000 tons. The engines were designed to

develop 10,000 horse-power, driving the ship at the rate of 16-1/2

statute miles an hour.

[Illustration: FIG. 146.--The Great Eastern.]

The figures quoted in the descriptions of these great steamships do

not enable the non-professional reader to form a conception of the

wonderful power which is concentrated within so small a space as is

occupied by their steam-machinery. The "horse-power" of the engines is

that determined by James Watt as the maximum obtainable for eight

hours a day from the strongest London draught-horses. The ordinary

average draught-horse would hardly be able to exert two-thirds as much

during the eight hours' steady work of a working-day. The working-day

of the steam-engine, on the other hand, is twenty-four hours in

length.

[Illustration: FIG. 147.--The Great Eastern at Sea.]

The work of the 10,000 horse-power engines of the Great Eastern could

be barely equaled by the efforts of 15,000 horses; but to continue

their work uninterruptedly, day in and day out, for weeks together, as

when done by steam, would require at least three relays, or 45,000

horses. Such a stud would weigh 25,000 tons, and if harnessed "tandem"

would extend thirty miles. It is only by such a comparison that the

mind can begin to comprehend the utter impossibility of accomplishing

by means of animal power the work now done for the world by steam.

The cost of the greater power is but about one-tenth that of

horse-power, and by its means tasks are accomplished with ease which

are absolutely impossible of accomplishment by animal power.

It is estimated that the total steam-power of the world is about

15,000,000 horse-power, and that, were horses actually employed to do

the work which these engines would be capable of doing were they kept

constantly in operation, the number required would exceed 60,000,000.

Thus, from the small beginnings of the Comte d'Auxiron and the Marquis

de Jouffroy in France, of Symmington in Great Britain, and of Henry,

Rumsey, and Fitch, and of Fulton and Stevens, in the United States,

steam-navigation has grown into a great and inestimable aid and

blessing to mankind.

We to-day cross the ocean with less risk, and transport ourselves and

our goods at as little cost in either time or money as, at the

beginning of the century, our parents experienced in traveling

one-tenth the distance.

It is largely in consequence of this ingenious application of a power

that reminds one of the fabled genii of Eastern romance, that the

mechanic and the laborer of to-day enjoy comforts and luxuries that

were denied to wealth, and to royalty itself, a century ago.

The magnitude of our modern steamships excites the wonder and

admiration of even the people of our own time; and there is certainly

no creation of art that can be grander in appearance than a

transatlantic steamer a hundred and fifty yards in length, and

weighing, with her stores, five or six thousand tons, as she starts on

her voyage, moved by engines equal in power to the united strength of

thousands of horses; none can more fully awaken a feeling of awe than

an immense structure like the great modern iron-clads (Fig. 145),

vessels having a total weight of 8,000 to 10,000 tons, and propelled

by steam-engines of as many horse-power, carrying guns whose shot

penetrate solid iron 20 inches thick, and having a power of impact,

when steaming at moderate speed, sufficient to raise 35,000 tons a

foot high.

Far more huge than the Monarch among the iron-clads even is that

prematurely-built monster, the Great Eastern (Fig. 147), already

described, an eighth of a mile long, and with steam doing the work of

a stud of 45,000 horses.

Thus we are to-day witnessing the literal fulfillment of the

predictions of Oliver Evans and of John Stevens, and almost that

contained in the couplets written by the poet Darwin, who, more than a

century ago, before even the earliest of Watt's improvements had

become generally known, sang:

"Soon shall thy arm, unconquered Steam, afar

Drag the slow barge, or drive the rapid car;

Or, on wide-waving wings expanded, bear

The flying chariot through the fields of air."

[Illustration]

CHAPTER VII.

_THE PHILOSOPHY OF THE STEAM-ENGINE._

THE HISTORY OF ITS GROWTH; ENERGETICS AND THERMO-DYNAMICS.

"Of all the features which characterize this progressive economical

movement of civilized nations, that which first excites attention,

through its intimate connection with the phenomena of production, is

the perpetual and, so far as human foresight can extend, the

unlimited growth of man's power over Nature. Our knowledge of the

properties and laws of physical objects shows no sign of approaching

its ultimate boundaries; it is advancing more rapidly, and in a

greater number of directions at once, than in any previous age or

generation, and affording such frequent glimpses of unexplored

fields beyond as to justify the belief that our acquaintance with

Nature is still almost in its infancy."--MILL.

The growth of the philosophy of the steam-engine presents as

interesting a study as that of the successive changes which have

occurred in its mechanism.

In the operation of the steam-engine we find illustrated many of the

most important principles and facts which constitute the physical

sciences. The steam-engine is an exceedingly ingenious, but,

unfortunately, still very imperfect, machine for transforming the

heat-energy obtained by the chemical combination of a combustible with

the supporter of combustion into mechanical energy. But the original

source of all this energy is found far back of its first appearance in

the steam-boiler. It had its origin at the beginning, when all Nature

came into existence. After the solar system had been formed from the

nebulous chaos of creation, the glowing mass which is now called the

sun was the depository of a vast store of heat-energy, which was

thence radiated into space and showered upon the attendant worlds in

inconceivable quantity and with unmeasured intensity. During the past

life of the globe, the heat-energy received from the sun upon the

earth's surface was partly expended in the production of great

forests, and the storage, in the trunks, branches, and leaves of the

trees of which they were composed, of an immense quantity of carbon,

which had previously existed in the atmosphere, combined with oxygen,

as carbonic acid. The great geological changes which buried these

forests under superincumbent strata of rock and earth resulted in the

formation of coal-beds, and the storage, during many succeeding ages,

of a vast amount of carbon, of which the affinity for oxygen remained

unsatisfied until finally uncovered by the hand of man. Thus we owe to

the heat and light of the sun, as was pointed out by George

Stephenson, the incalculable store of potential energy upon which the

human race is so dependent for life and all its necessaries, comforts,

and luxuries.

This coal, thrown upon the grate in the steam-boiler, takes fire, and,

uniting again with the oxygen, sets free heat in precisely the same

quantity that it was received from the sun and appropriated during the

growth of the tree. The actual energy thus rendered available is

transferred, by conduction and radiation, to the water in the

steam-boiler, converts it into steam, and its mechanical effect is

seen in the expansion of the liquid into vapor against the

superincumbent pressure. Transferred from the boiler to the engine,

the steam is there permitted to expand, doing work, and the

heat-energy with which it is charged becomes partly converted into

mechanical energy, and is applied to useful work in the mill or to

driving the locomotive or the steamboat.

Thus we may trace the store of energy received from the sun and

contained in our coal through its several changes until it is finally

set at work; and we might go still further and observe how, in each

case, it is again usually re-transformed and again set free as

heat-energy.

The transformation which takes place in the furnace is a chemical

change; the transfer of heat to the water and the subsequent phenomena

accompanying its passage through the engine are physical changes, some

of which require for their investigation abstruse mathematical

operations. A thorough comprehension of the principles governing the

operation of the steam-engine, therefore, can only be attained after

studying the phenomena of physical science with sufficient minuteness

and accuracy to be able to express with precision the laws of which

those sciences are constituted. The study of the philosophy of the

steam-engine involves the study of chemistry and physics, and of the

new science of energetics, of which the now well-grown science of

thermo-dynamics is a branch. This sketch of the growth of the

steam-engine may, therefore, be very properly concluded by an outline

of the growth of the several sciences which together make up its

philosophy, and especially of the science of thermo-dynamics, which is

peculiarly the science of the steam-engine and of the other

heat-engines.

These sciences, like the steam-engine itself, have an origin which

antedates the commencement of the Christian era; but they grew with an

almost imperceptible growth for many centuries, and finally, only a

century ago, started onward suddenly and rapidly, and their progress

has never since been checked. They are now fully-developed and

well-established systems of natural philosophy. Yet, like that of the

steam-engine and of its companion heat-engines, their growth has by no

means ceased; and, while the student of science cannot do more than

indicate the direction of their progress, he can readily believe that

the beginning of the end is not yet reached in their movement toward

completeness, either in the determination of facts or in the

codification of their laws.

When Hero lived at Alexandria, the great "Museum" was a most important

centre, about which gathered the teachers of all then known

philosophies and of all the then recognized but unformed sciences, as

well as of all those technical branches of study which had already

been so far developed as to be capable of being systematically taught.

Astronomical observations had been made regularly and uninterruptedly

by the Chaldean astrologers for two thousand years, and records

extending back many centuries had been secured at Babylon by

Calisthenes and given to Aristotle, the father of our modern

scientific method. Ptolemy had found ready to his hand the records of

Chaldean observers of eclipses extending back nearly 650 years, and

marvelously accurate.[103]

[103] Their estimate of the length of the Saros, or cycle of

eclipses--over 19 years--was "within 19-1/2 minutes of the

truth."--DRAPER.

A rude method of printing with an engraved roller on plastic clay,

afterward baked, thus making up ceramic libraries, was practised long

previous to this time; and in the alcoves in which Hero worked were

many of these books of clay.

This great Library and Museum of Alexandria was founded three

centuries before the birth of Christ, by Ptolemy Soter, who

established as his capital that great Egyptian city when the death of

his brother, the youthful but famous conqueror whose name he gave it,

placed him upon the throne of the colossal successor of the then

fallen Persian Empire. The city itself, embellished with every

ornament and provided with every luxury that the wealth of a conquered

world or the skill, taste, and ingenuity of the Greek painters,

sculptors, architects, and engineers could provide, was full of

wonders; it was a wonder in itself. This rich, populous, and

magnificent city was the metropolis of the then civilized world.

Trade, commerce, manufactures, and the fine arts were all represented

in this splendid exchange, and learning found its most acceptable

home and noblest field within the walls of Ptolemy's Museum; its

disciples found themselves welcomed and protected by its founder and

his successors, Philadelphus and the later Ptolemies.

The Alexandrian Museum was founded with the declared object of

collecting all written works of authority, of promoting the study of

literature and art, and of stimulating and assisting experimental and

mathematical scientific investigation and research. The founders of

modern libraries, colleges, and technical schools have their prototype

in intelligence, public spirit, and liberality, in the first of the

Ptolemies, who not only spent an immense sum in establishing this

great institution, but spared no expense in sustaining it. Agents were

sent out into all parts of the world, purchasing books. A large staff

of scribes was maintained at the museum, whose duty it was to multiply

copies of valuable works, and to copy for the library such works as

could not be purchased.

The faculty of the museum was as carefully organized as was the plan

of its administration. The four principal faculties of astronomy,

literature, mathematics, and medicine were subdivided into sections

devoted to the several branches of each department. The collections of

the museum were as complete as the teachers of the undeveloped

sciences of the time could make them. Lectures were given in all

branches of study, and the number of students was sometimes as great

as twelve or thirteen thousand. The number of books which were

collected here, when the barbarian leaders of the Roman troops under

Caesar burned the greater part of it, was stated to be 700,000. Of

these, 400,000 were within the museum itself, and were all destroyed;

the rest were in the temple of Serapis, and, for the time, escaped

destruction.

The greatest of all the great men who lived at Alexandria at the time

of the establishment of the museum was Aristotle, the teacher of

Alexander and the friend of Ptolemy. It is to Aristotle that we owe

the systematization of the philosophical ideas of Plato and the

creation of the inductive method, in which has originated all modern

science. It is to the learned men of Alexandria that we are indebted

for so effective an application of the Aristotelian philosophy that

all the then known sciences were given form, and were so thoroughly

established that the work of modern science has been purely one of

development.

The inductive method, which built up all the older sciences, and which

has created all those of recent development, consists, first, in the

discovery and quantitative determination of facts; secondly, when a

sufficient number of facts have been thus observed and defined, in the

grouping of those facts, and the detection, by a study of their mutual

relations, of the natural laws which give rise to or regulate them.

This simple method is that--and the only--method by which science

advances. By this method, and by it only, do we acquire connected and

systematic knowledge of all the phenomena of Nature of which the

physical sciences are cognizant. It is only by the application of this

Aristotelian method and philosophy that we can hope to acquire exact

scientific knowledge of existing phenomena, or to become able to

anticipate the phenomena which are to distinguish the future. The

Aristotelian method of observing facts, and of inductive reasoning

with those facts as a basis, has taught the chemist the properties of

the known elementary substances and their characteristic behavior

under ascertained conditions, and has taught him the laws of

combination and the effects of their union, enabling him to predict

the changes and the phenomena, chemical and physical, which inevitably

follow their contact under any specified set of conditions.

It is this process which has enabled the physicist to ascertain the

methods of molecular motion which give us light, heat, or electricity,

and the range of action and the laws which govern the transfer of

energy from one of these modes of motion to another. It was this

method of study which enabled James Watt to detect and to remedy the

defects of the Newcomen engine, and it is by the Aristotelian

philosophy that the engineer of to-day is taught to construct the

modern steamship, and to predict, before the keel is laid or a blow

struck in the workshop or the ship-yard, what will be the weight of

the vessel, its cargo-carrying capacity, the necessary size and power

of its engines, the quantity of coal which they will require per day

while crossing the ocean, the depth at which the great hull will float

in the water, and the exact speed that the vessel will attain when the

engines are exerting their thousand or their ten thousand horse-power.

It was at Alexandria that this mighty philosophy was first given a

field in which to work effectively. Here Ptolemy studied astronomy and

"natural philosophy;" Archimedes applied himself to the studies which

attract the mathematician and engineer; Euclid taught his royal pupil

those elements of geometry which have remained standard twenty-two

centuries; Eratosthenes and Hipparchus studied and taught astronomy,

and inaugurated the existing system of quantitative investigation,

proving the spherical form of the earth; and Ctesibius and Hero

studied pneumatics and experimented with the germs of the steam-engine

and of less important machines.

When, seven centuries later, the destruction of this splendid

institution was signalized by the death of that brilliant scholar and

heathen teacher of philosophy, Hypatia, at the hands of the more

heathenish fanatics who tore her in pieces at the foot of the cross,

and by the dispersion of the library left by Caesar's soldiers in the

Serapeum, a true philosophy had been created, and the inductive method

was destined to live and to overcome every obstacle in the path of

enlightenment and civilization. The fall of the Alexandrian Museum,

sad as was the event, could not destroy the new philosophical method.

Its fruits ripened slowly but surely, and we are to-day gathering a

plentiful harvest.

Science, literature, and the arts, all remained dormant for several

centuries after the catastrophe which deprived them of the light in

which they had flourished so many centuries. The armies of the caliphs

made complete the shameful work of destruction begun by the armies of

Caesar, and the Alexandrian Library, partly destroyed by the Romans,

was completely dispersed by the Patriarchs and their ignorant and

fanatical followers; and finally all the scattered remnants were

burned by the Saracens. But when the thirst for conquest had become

satiated or appeased, the followers of the caliphs turned their

attention to intellectual pursuits, and the ninth century of the

Christian era saw once more such a collection of philosophical

writings, collected at Bagdad, as could only be gathered by the power

and wealth of the later conquerors of the world. Philosophy once again

resumed its empire, and another race commenced the study of the

mathematics of India and of Greece, the astronomy of Chaldea, and of

all the sciences which originated in Greece and in Egypt. By the

conquest of Spain by the Saracens, the new civilization was imported

into Western Europe and libraries were gathered together under the

Moorish rulers, one of which numbered more than a half-million

volumes. Wherever Saracen armies had extended Mohammedan rule,

schools and colleges, libraries and collections of philosophical

apparatus, were scattered in strange profusion; and students,

teachers, philosophers, of all--the speculative as well as the

Aristotelian--schools, gathered together at these intellectual

ganglia, as enthusiastic in their work as were their Alexandrian

predecessors. The endowment of colleges, that truest gauge of the

intelligence of the wealthy classes of any community, became as

common--perhaps more so--as at the present time, and provision was

made for the education of rich and poor alike. The mathematical

sciences, and the wonderful and beautiful phenomena which--but a

thousand years later--were afterward grouped into a science and called

chemistry, were especially attractive to the Arabian scholars, and

technical applications of discovered facts and laws assisted in a

wonderfully rapid development of arts and manufactures.

When, a thousand years after Christ, the centre of intellectual

activity and of material civilization had drifted westward into

Andalusia, the foundation of every modern physical science except that

now just taking shape--the all-grasping science of energetics--had

been laid with experimentally derived facts; and in mathematics there

had been erected a symmetrical and elegant superstructure. Even that

underlying principle of all the sciences, the principle of the

persistence of energy, had been, perhaps unwittingly, enunciated.

Distinguished historians have shown how the progress of civilization

in Europe resulted in the creation, during the middle ages, of the now

great middle class, which, holding the control of political power,

governs every civilized nation, and has come into power so gradually

that it was only after centuries that its influence was seen and felt.

This, which Buckle[104] calls the intellectual class, first became

active, independently of the military and of the clergy, in the

fourteenth century. In the two succeeding centuries this class gained

power and influence; and in the seventeenth century we find a

magnificent advance in all branches of science, literature, and art,

marking the complete emancipation of the intellect from the artificial

conditions which had so long repressed its every effort at

advancement.

[104] "History of Civilization in England," vol. i., p. 208. London,

1868.

Another great social revolution thus occurred, following another

period of centuries of intellectual stagnation. The Saracen invaders

were driven from Europe; the Crusaders invaded Palestine, in the vain

effort to recover from the hands of the infidels the Holy Sepulchre

and the Holy Land; and intestine broils and inter-state conflicts, as

well as these greater social movements, withdrew the minds of men once

more from the arts of peace and the pursuits of scholars. It is not,

then, until the beginning of the seventeenth century--the time of

Galileo and of Newton--that we find the nations of Europe sufficiently

quiet and secure to permit general attention to intellectual

vocations, although it was a half-century earlier (1543) that

Copernicus left to the world that legacy which revolutionized the

theories of the astronomers and established as correct the hypothesis

which made the sun the centre of the solar system.

Galileo now began to overturn the speculations of the deductive

philosophers, and to proclaim the still disputed principle that the

book of Nature is a trustworthy commentary in the study of theological

and revealed truths, so far as they affect or are affected by science;

he suffered martyrdom when he proclaimed the fact that God's laws, as

they now stand, had been instituted without deference to the

preconceived notions of the most ignorant of men. Bruno had a few

years earlier (1600) been burned at the stake for a similar offense.

Galileo was perhaps the first, too, to combine invariably in

application the idea of Plato, the philosophy of Aristotle, and the

methods of modern experimentation, to form the now universal

scientific method of experimental philosophy. He showed plainly how

the grouping of ascertained facts, in natural sequence, leads to the

revelation of the law of that sequence, and indicated the existence of

a principle which is now known as the law of continuity--the law that

in all the operations of Nature there is to be seen an unbroken chain

of effect leading from the present back into a known or an unknown

past, toward a cause which may or may not be determinable by science

or known to history.

Galileo, the Italian, was worthily matched by Newton, the prince of

English philosophers. The science of theoretical mechanics was hardly

beginning to assume the position which it was afterward given among

the sciences; and the grand work of collating facts already

ascertained, and of definitely stating principles which had previously

been vaguely recognized, was splendidly done by Newton. The needs of

physical astronomy urged this work upon him.

Da Vinci had, in the latter half of the fifteenth century, summarized

as much of the statics of mechanical philosophy as had, up to his

time, been given shape; he also rewrote and added very much to what

was known on the subject of friction, and enunciated its laws. He had

evidently a good idea of the principle of "virtual velocities," that

simple case of equivalence of work, in a connected system, which has

done such excellent service since; and with his mechanical philosophy

this versatile engineer and artist curiously mingled much of physical

science. Then Stevinus, the "brave engineer of Bruges," a hundred

years later (1586), alternating office and field work, somewhat after

the manner of the engineer of to-day, wrote a treatise on mechanics,

which showed the value of practical experience and judgment in even

scientific work. And thus the path had been cleared for Newton.

Meantime, also, Kepler had hit upon the true relations of the

distances of the planets and their periodic times, after spending half

a generation in blindly groping for them, thus furnishing those great

landmarks of fact in the mechanics of astronomy; and Galileo had

enunciated the laws of motion. Thus the foundation of the science of

dynamics, as distinguished from statics, was laid, and the beginning

was made of that later science of energetics, of which the philosophy

of the steam-engine is so largely constituted.

Hooke, Huyghens, and others, had already seen some of the principal

consequences of these laws; but it remained for Newton to enunciate

them with the precision of a true mathematician, and to base upon them

a system of dynamical laws, which, complemented by his announcement of

the existence of the force of gravitation, and his statement of its

laws, gave a firm basis for all that the astronomer has since done in

those quantitative determinations of size, weight, and distance, and

of the movements of the heavenly bodies, which compel the wonder and

admiration of mankind.

The Arabians and Greeks had noticed that the direction taken by a body

falling under the action of gravitation was directly toward the centre

of the earth, wherever its fall might occur; Galileo had shown, by his

experiments at Pisa, that the velocity of fall, second after second,

varied as the numbers 1, 3, 5, 7, 9, etc., and that the distances

varied as the squares of the total periods of time during which the

body was falling, and that it was, in British feet, very nearly

sixteen times the square of that time in seconds. Kepler had proved

that the movements of the heavenly bodies were just such as would

occur under the action of central attractive forces and of centrifugal

force.

Putting all these things together, Newton was led to believe that

there existed a "force of gravity," due to the attraction, by the

great mass of the earth, of its own particles and of neighboring

bodies, like the moon, of which force the influence extended as far,

at least, as the latter. He calculated the motion of the earth's

satellite, on the assumption that his theory and the then accepted

measurements of the earth's dimensions were correct, and obtained a

roughly approximate result. Later, in 1679, he revised his

calculations, using Picard's more accurate determination of the

dimensions of the earth, and obtained a result which precisely tallied

with careful measurements, made by the astronomers, of the moon's

motion.

The science of mechanics had now, with the publication of Newton's

"Principia," become thoroughly consistent and logically complete, so

far as was possible without a knowledge of the principles of

energetics; and Newton's enunciations of the laws of motion, concise

and absolutely perfect as they still seem, were the basis of the whole

science of dynamics, as applied to bodies moving freely under the

action of applied forces, either constant or variable. They are as

perfect a basis for that science as are the primary principles of

geometry for the whole beautiful structure which is built up on them.

The three perfect qualitative expressions of dynamical law are:

1. Every free body continues in the state in which it may be, whether

of rest or of rectilinear uniform motion, until compelled to deviate

from that state by impressed forces.

2. Change of motion is proportional to the force impressed, and in the

direction of the right line in which that force acts.

3. Action is always opposed by reaction; action and reaction are

equal, and in directly contrary directions.

We may add to these principles a definition of a force, which is

equally and absolutely complete:

_Force_ is that which produces, or tends to produce, motion, or change

of motion, in bodies. It is measured statically by the weight that

will counterpoise it, or by the pressure which it will produce, and

dynamically by the velocity which it will produce, acting in the unit

of time on the unit of mass.

The quantitative determinations of dynamic effects of forces are

always readily made when it is remembered that the effect of a force

equal to its own weight, when the body is free to move, is to produce

in one second a velocity of 32.2 feet per second, which quantity is

the unit of dynamic measurement.

_Work_ is the product of the resistance met in any instance of the

exertion of a force, into the distance through which that force

overcomes the resistance.

_Energy_ is the work which a body is capable of doing, by its weight

or inertia, under given conditions. The energy of a falling body, or

of a flying shot, is about 1/64 its weight multiplied by the square of

its velocity, or, which is the same thing, the product of its weight

into the height of fall or height due its velocity. These principles

and definitions, with the long-settled definitions of the primary

ideas of space and time, were all that were needed to lead the way to

that grandest of all physical generalizations, the doctrine of the

persistence or conservation of all energy, and to its corollary

declaring the equivalence of all forms of energy, and also to the

experimental demonstration of the transformability of energy from one

mode of existence to another, and its universal existence in the

various modes of motion of bodies and of their molecules.

Experimental physical science had hardly become acknowledged as the

only and the proper method of acquiring knowledge of natural phenomena

at the time of Newton; but it soon became a generally accepted

principle. In physics, Gilbert had made valuable investigations before

Newton, and Galileo's experiments at Pisa had been examples of

similarly useful research. In chemistry, it was only when, a century

later, Lavoisier showed by his splendid example what could be done by

the skillful and intelligent use of quantitative measurements, and

made the balance the chemist's most important tool, that a science was

formed comprehending all the facts and laws of chemical change and

molecular combination. We have already seen how astronomy and

mathematics together led philosophers to the creation and the study of

what finally became the science of mechanics, when experiment and

observation were finally brought to their aid. We can now see how, in

all these physical sciences, four primitive ideas are comprehended:

matter, force, motion, and space--which latter two terms include all

relations of position.

Based on these notions, the science of mechanics comprehends four

sections, which are of general application in the study of all

physical phenomena. These are:

_Statics_, which treats of the action and effect of forces.

_Kinematics_, which treats of relations of motion simply.

_Dynamics_, or kinetics, which treats of simple motion as an effect of

the action of forces.

_Energetics_, which treats of modifications of energy under the action

of forces, and of its transformation from one mode of manifestation to

another, and from one body to another.

Under the latter of these four divisions of mechanical philosophy is

comprehended that latest of the minor sciences, of which the

heat-engines, and especially the steam-engine, illustrate the most

important applications--_Thermo-dynamics_. This science is simply a

wider generalization of principles which, as we have seen, have been

established one at a time, and by philosophers widely separated both

geographically and historically, by both space and time, and which

have been slowly aggregated to form one after another of the sciences,

and out of which, as we now are beginning to see, we are slowly

evolving wider generalizations, and thus tending toward a condition of

scientific knowledge which renders more and more probable the truth of

Cicero's declaration: "One eternal and immutable law embraces all

things and all times." At the basis of the whole science of energetics

lies a principle which was enunciated before Science had a birthplace

or a name:

_All that exists, whether matter or force, and in whatever form, is

indestructible, except by the Infinite Power which has created it._

That matter is indestructible by finite power became admitted as soon

as the chemists, led by their great teacher Lavoisier, began to apply

the balance, and were thus able to show that in all chemical change

there occurs only a modification of form or of combination of

elements, and no loss of matter ever takes place. The "persistence" of

energy was a later discovery, consequent largely upon the experimental

determination of the convertibility of heat-energy into other forms

and into mechanical work, for which we are indebted to Rumford and

Davy, and to the determination of the quantivalence anticipated by

Newton, shown and calculated approximately by Colding and Mayer, and

measured with great probable accuracy by Joule.

[Illustration: Benjamin Thompson, Count Rumford.]

The great fact of the conservation of energy was loosely stated by

Newton, who asserted that the work of friction and the _vis viva_ of

the system or body arrested by friction were equivalent. In 1798,

Benjamin Thompson, Count Rumford, an American who was then in the

Bavarian service, presented a paper[105] to the Royal Society of Great

Britain, in which he stated the results of an experiment which he had

recently made, proving the immateriality of heat and the

transformation of mechanical into heat energy. This paper is of very

great historical interest, as the now accepted doctrine of the

persistence of energy is a generalization which arose out of a series

of investigations, the most important of which are those which

resulted in the determination of the existence of a definite

quantivalent relation between these two forms of energy and a

measurement of its value, now known as the "mechanical equivalent of

heat." His experiment consisted in the determination of the quantity

of heat produced by the boring of a cannon at the arsenal at Munich.

[105] "Philosophical Transactions," 1798.

Rumford, after showing that this heat could not have been derived from

any of the surrounding objects, or by compression of the materials

employed or acted upon, says: "It appears to me extremely difficult,

if not impossible, to form any distinct idea of anything capable of

being excited and communicated in the manner that heat was excited and

communicated in these experiments, except it be motion."[106] He then

goes on to urge a zealous and persistent investigation of the laws

which govern this motion. He estimates the heat produced by a power

which he states could easily be exerted by one horse, and makes it

equal to the "combustion of nine wax candles, each three-quarters of

an inch in diameter," and equivalent to the elevation of "25.68 pounds

of ice-cold water" to the boiling-point, or 4,784.4 heat-units.[107]

The time was stated at "150 minutes." Taking the actual power of

Rumford's Bavarian "one horse" as the most probable figure, 25,000

pounds raised one foot high per minute,[108] this gives the

"mechanical equivalent" of the foot-pound as 783.8 heat-units,

differing but 1.5 per cent. from the now accepted value.

[106] This idea was not by any means original with Rumford. Bacon

seems to have had the same idea; and Locke says, explicitly enough:

"Heat is a very brisk agitation of the insensible parts of the

object ... so that what in our sensation is heat, in the object is

nothing but motion."

[107] The British heat-unit is the quantity of heat required to heat

one pound of water 1 deg. Fahr. from the temperature of maximum density.

[108] Rankine gives 25,920 foot-pounds per minute--or 432 per

second--for the average draught-horse in Great Britain, which is

probably too high for Bavaria. The engineer's "horse-power"--33,000

foot-pounds per minute--is far in excess of the average power of

even a good draught-horse, which latter is sometimes taken as

two-thirds the former.

Had Rumford been able to eliminate all losses of heat by evaporation,

radiation, and conduction, to which losses he refers, and to measure

the power exerted with accuracy, the approximation would have been

still closer. Rumford thus made the experimental discovery of the real

nature of heat, proving it to be a form of energy, and, publishing

the fact a half-century before the now standard determinations were

made, gave us a very close approximation to the value of the

heat-equivalent. Rumford also observed that the heat generated was

"exactly proportional to the force with which the two surfaces are

pressed together, and to the rapidity of the friction," which is a

simple statement of equivalence between the quantity of work done, or

energy expended, and the quantity of heat produced. This was the first

great step toward the formation of a Science of Thermo-dynamics.

Rumford's work was the corner-stone of the science.

Sir Humphry Davy, a little later (1799), published the details of an

experiment which conclusively confirmed these deductions from

Rumford's work. He rubbed two pieces of ice together, and found that

they were melted by the friction so produced. He thereupon concluded:

"It is evident that ice by friction is converted into water....

Friction, consequently, does not diminish the capacity of bodies for

heat."

Bacon and Newton, and Hooke and Boyle, seem to have anticipated--long

before Rumford's time--all later philosophers, in admitting the

probable correctness of that modern dynamical, or vibratory, theory of

heat which considers it a mode of motion; but Davy, in 1812, for the

first time, stated plainly and precisely the real nature of heat,

saying: "The immediate cause of the phenomenon of heat, then, is

motion, and the laws of its communication are precisely the same as

the laws of the communication of motion." The basis of this opinion

was the same that had previously been noted by Rumford.

So much having been determined, it became at once evident that the

determination of the exact value of the mechanical equivalent of heat

was simply a matter of experiment; and during the succeeding

generation this determination was made, with greater or less

exactness, by several distinguished men. It was also equally evident

that the laws governing the new science of thermo-dynamics could be

mathematically expressed.

Fourier had, before the date last given, applied mathematical analysis

in the solution of problems relating to the transfer of heat without

transformation, and his "Theorie de la Chaleur" contained an

exceedingly beautiful treatment of the subject. Sadi Carnot, twelve

years later (1824), published his "Reflexions sur la Puissance Motrice

du Feu," in which he made a first attempt to express the principles

involved in the application of heat to the production of mechanical

effect. Starting with the axiom that a body which, having passed

through a series of conditions modifying its temperature, is returned

to "its primitive physical state as to density, temperature, and

molecular constitution," must contain the same quantity of heat which

it had contained originally, he shows that the efficiency of

heat-engines is to be determined by carrying the working fluid through

a complete cycle, beginning and ending with the same set of

conditions. Carnot had not then accepted the vibratory theory of heat,

and consequently was led into some errors; but, as will be seen

hereafter, the idea just expressed is one of the most important

details of a theory of the steam-engine.

Seguin, who has already been mentioned as one of the first to use the

fire-tubular boiler for locomotive engines, published in 1839 a work,

"Sur l'Influence des Chemins de Fer," in which he gave the requisite

data for a rough determination of the value of the mechanical

equivalent of heat, although he does not himself deduce that value.

Dr. Julius R. Mayer, three years later (1842), published the results

of a very ingenious and quite closely approximate calculation of the

heat-equivalent, basing his estimate upon the work necessary to

compress air, and on the specific heats of the gas, the idea being

that the work of compression is the equivalent of the heat generated.

Seguin had taken the converse operation, taking the loss of heat of

expanding steam as the equivalent of the work done by the steam while

expanding. The latter also was the first to point out the fact,

afterward experimentally proved by Hirn, that the fluid exhausted from

an engine should heat the water of condensation less than would the

same fluid when originally taken into the engine.

A Danish engineer, Colding, at about the same time (1843), published

the results of experiments made to determine the same quantity; but

the best and most extended work, and that which is now almost

universally accepted as standard, was done by a British investigator.

James Prescott Joule commenced the experimental investigations which

have made him famous at some time previous to 1843, at which date he

published, in the _Philosophical Magazine_, his earliest method. His

first determination gave 770 foot-pounds. During the succeeding five

or six years Joule repeated his work, adopting a considerable variety

of methods, and obtaining very variable results. One method was to

determine the heat produced by forcing air through tubes; another, and

his usual plan, was to turn a paddle-wheel by a definite power in a

known weight of water. He finally, in 1849, concluded these

researches.

[Illustration: James Prescott Joule.]

The method of calculating the mechanical equivalent of heat which was

adopted by Dr. Mayer, of Heilbronn, is as beautiful as it is

ingenious: Conceive two equal portions of atmospheric air to be

inclosed, at the same temperature--as at the freezing-point--in

vessels each capable of containing one cubic foot; communicate heat to

both, retaining the one portion at the original volume, and permitting

the other to expand under a constant pressure equal to that of the

atmosphere. In each vessel there will be inclosed 0.08073 pound, or

1.29 ounce, of air. When, at the same temperature, the one has doubled

its pressure and the other has doubled its volume, each will be at a

temperature of 525.2 deg. Fahr., or 274 deg. C, and each will have double the

original temperature, as measured on the absolute scale from the zero

of heat-motion. But the one will have absorbed but 6-3/4 British

thermal units, while the other will have absorbed 9-1/2. In the first

case, all of this heat will have been employed in simply increasing

the temperature of the air; in the second case, the temperature of the

air will have been equally increased, and, besides, a certain amount

of work--2,116.3 foot-pounds--must have been done in overcoming the

resistance of the air; it is to this latter action that we must debit

the additional heat which has disappeared. Now, 2,116.3/(2-3/4) = 770

foot-pounds per heat-unit--almost precisely the value derived from

Joule's experiments. Had Mayer's measurement been absolutely accurate,

the result of his calculation would have been an exact determination

of the heat-equivalent, provided no heat is, in this case, lost by

internal work.

Joule's most probably accurate measure was obtained by the use of a

paddle-wheel revolving in water or other fluid. A copper vessel

contained a carefully weighed portion of the fluid, and at the bottom

was a step, on which stood a vertical spindle carrying the

paddle-wheel. This wheel was turned by cords passing over

nicely-balanced grooved wheels, the axles of which were carried on

friction-rollers. Weights hung at the ends of these cords were the

moving forces. Falling to the ground, they exerted an easily and

accurately determinable amount of work, _W_ x _H_, which turned the

paddle-wheel a definite number of revolutions, warming the water by

the production of an amount of heat exactly equivalent to the amount

of work done. After the weight had been raised and this operation

repeated a sufficient number of times, the quantity of heat

communicated to the water was carefully determined and compared with

the amount of work expended in its development. Joule also used a pair

of disks of iron rubbing against each other in a vessel of mercury,

and measured the heat thus developed by friction, comparing it with

the work done. The average of forty experiments with water gave the

equivalent 772.692 foot-pounds; fifty with mercury gave 774.083;

twenty with cast-iron gave 774.987--the temperature of the apparatus

being from 55 deg. to 60 deg. Fahr.

Joule also determined, by experiment, the fact that the expansion of

air or other gas without doing work produces no change of temperature,

which fact is predicable from the now known principles of

thermo-dynamics. He stated the results of his researches relating to

the mechanical equivalent of heat as follows:

1. The heat produced by the friction of bodies, whether solid or

liquid, is always proportional to the quantity of work expended.

2. The quantity required to increase the temperature of a pound of

water (weighed _in vacuo_ at 55 deg. to 60 deg. Fahr.) by one degree requires

for its production the expenditure of a force measured by the fall of

772 pounds from a height of one foot. This quantity is now generally

called "Joule's equivalent."

During this series of experiments, Joule also deduced the position of

the "absolute zero," the point at which heat-motion ceases, and stated

it to be about 480 deg. Fahr. below the freezing-point of water, which is

not very far from the probably true value,-493.2 deg. Fahr. (-273 deg. C.), as

deduced afterward from more precise data.

The result of these, and of the later experiments of Hirn and others,

has been the admission of the following principle:

Heat-energy and mechanical energy are mutually convertible and have a

definite equivalence, the British thermal unit being equivalent to 772

foot-pounds of work, and the metric _calorie_ to 423.55, or, as

usually taken, 424 kilogrammetres. The exact measure is not fully

determined, however.

It has now become generally admitted that all forms of energy due to

physical forces are mutually convertible with a definite

quantivalence; and it is not yet determined that even vital and mental

energy do not fall within the same great generalization. This

quantivalence is the sole basis of the science of Energetics.

The study of this science has been, up to the present time,

principally confined to that portion which comprehends the relations

of heat and mechanical energy. In the study of this department of the

science, thermo-dynamics, Rankine, Clausius, Thompson, Hirn, and

others have acquired great distinction. In the investigations which

have been made by these authorities, the methods of transfer of heat

and of modification of physical state in gases and vapors, when a

change occurs in the form of the energy considered, have been the

subjects of especial study.

According to the law of Boyle and Marriotte, the expansion of such

fluids follows a law expressed graphically by the hyperbola, and

algebraically by the expression PV^{_x_} = A, in which, with

unchanging temperature, _x_ is equal to 1. One of the first and most

evident deductions from the principles of the equivalence of the

several forms of energy is that the value of x must increase as the

energy expended in expansion increases. This change is very marked

with a vapor like steam--which, expanded without doing work, has an

exponent less than unity, and which, when doing work by expanding

behind a piston, partially condenses, the value of _x_ increases to,

in the case of steam, 1.111 according to Rankine, or, probably more

correctly, to 1.135 or more, according to Zeuner and Grashof. This

fact has an important bearing upon the theory of the steam-engine, and

we are indebted to Rankine for the first complete treatise on that

theory as thus modified.

Prof. Rankine began his investigations as early as 1849, at which time

he proposed his theory of the molecular constitution of matter, now

well known as the theory of molecular vortices. He supposes a system

of whirling rings or vortices of heat-motion, and bases his

philosophy upon that hypothesis, supposing sensible heat to be

employed in changing the velocity of the particles, latent heat to be

the work of altering the dimensions of the orbits, and considering the

effort of each vortex to enlarge its boundaries to be due to

centrifugal force. He distinguished between real and apparent specific

heat, and showed that the two methods of absorption of heat, in the

case of the heating of a fluid, that due to simple increase of

temperature and that due to increase of volume, should be

distinguished; he proposed, for the latter quantity, the term

heat-potential, and for the sum of the two, the name of thermo-dynamic

function.

[Illustration: Prof. W. J. M. Rankine.]

Carnot had stated, a quarter of a century earlier, that the efficiency

of a heat-engine is a function of the two limits of temperature

between which the machine is worked, and not of the nature of the

working substance--an assertion which is quite true where the material

does not change its physical state while working. Rankine now deduced

that "general equation of thermo-dynamics" which expresses

algebraically the relations between heat and mechanical energy, when

energy is changing from the one state to the other, in which equation

is given, for any assumed change of the fluids, the quantity of heat

transformed. He showed that steam in the engine must be partially

liquefied by the process of expanding against a resistance, and proved

that the total heat of a perfect gas must increase with rise of

temperature at a rate proportional to its specific heat under constant

pressure.

Rankine, in 1850, showed the inaccuracy of the then accepted value,

0.2669, of the specific heat of air under constant pressure, and

calculated its value as 0.24. Three years later, the experiments of

Regnault gave the value 0.2379, and Rankine, recalculating it, made it

0.2377. In 1851, Rankine continued his discussion of the subject, and,

by his own theory, corroborated Thompson's law giving the efficiency

of a perfect heat-engine as the quotient of the range of working

temperature to the temperature of the upper limit, measured from the

absolute zero.

A History of the Growth of the Steam-Engine · 第 8 / 9 章