Treatise on the Mechanical Theory of Heat and Its Applications to the Steam-engine, Etc

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D. Van Nostrand, 1876 - 288 páginas

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CHAPTER II
28
Space velocity and acceleration
29
Instantaneous values of forces
30
Vis viva and vis mortua
31
Demonstration of equation A
33
ART PAGE 19 Components of work and energy
34
Integration of equation 20
36
Conservation of vis viva
37
Conservation of energy
38
Transformation of energy
40
Theory of energy
41
The potential independent of the path etc
43
Dissipation of energy
44
CHAPTER III
45
Molecular forces
46
Integrability of equation 20
49
Motion around the centre of gravity
52
Conservation of moments of rotation
53
Loss of vis viva in collisions
54
Theorem of vis viva
56
The total vis viva not always equal to the sum of the vires viva
57
Equal when referred to the centre of gravity
58
Vibrations change the potential
62
Work of relative motion
63
Energy of absolute and relative motion
64
Work of expansion
65
Calculation of work
67
Comparative accuracy of the several methods
71
CHAPTER IV
73
Quantities of heat
75
General formulas
77
Thermodynamic functions
78
Partial differential equations of transformation
79
When the pressure is constant
80
When the density is constant
81
When the temperature is constant
82
Component velocities and accelerations
83
Relations of the partial differential coefficients
84
Factors of integrability ᎬᏮ
86
The perfectly gaseous state
88
Inductive postulates
89
The coefficient c constant
91
The product cd constant
92
Factor of integrability for gases
93
Absolute temperatures and the absolute zero of heat
96
Their determination
97
CHAPTER V
98
Introduction
99
Its investigation by Regnault 161
104
Examined by Regnault
106
Two coefficients a and a
108
Effect of temperature upon compressibility
111
Permanent and liquefiable airs
112
Hypothetical law of Rankine
113
Accordance of air thermometers
115
Expansion of vapours
116
CHAPTER VI
118
The second law of Joule
119
Its investigation by him
121
Method of Sir W Thomson
123
The second law of Joule interpreted
126
Formula for the duty
143
Air engines
144
Ericssons engine
148
The regenerator of Stirling
149
Isodiabatic lines
150
Adiabatic curves
152
Law of Laplace and Poisson
154
Lines of transformation
155
Air engine working in a cycle of Carnot
157
Another demonstration for its efficiency
159
Theorem of Carnot
160
Maximum efficiency
162
CHAPTER VIII
167
General equation for all transformations
170
The factor 2 or 7 is the same for all bodies
171
Simple demonstration for maximum efficiency
172
Diagrams of energy depend upon the intermediate states
173
Equations of Sir W Thomson
175
The same function satisfies them all
176
Isothermal changes
177
Equations of Rankine
178
The same for gases
179
Another general formula
181
Simple enunciation of the second law by Rankine
182
Generalization of absolute temperatures
184
Heat measured dynamically
187
Different forms of statement of the fundamental laws
188
PART II
191
Vaporization
198
Saturated vapour
202
Latent heat of steam
203
Total heat of vapour
205
CHAPTER X
208
Their general applicability
212
ART PAGE 151 Specific heat of saturated vapour
216
Liquefaction by expansion
219
Formula of Zeuner
220
Curve for saturated vapour
221
Adiabatic changes in steam
223
Problem II
225
Internal energy of a mixture
228
Superheated steam
230
CHAPTER XI
237
Perfect ideal engines
240
Real engines
243
Defective expansion
249
Other imperfections
251
Engines with two liquids
252
Steamjackets
253
Superheated steam
257
Horsepower of engines
259
CHAPTER XII
267
Physiological
268
Regelation and liquefaction
275
Stability of water
276
Isomerism and allotropism
282
Dissociation of carbonic oxide and other substances
283
Steady flow of fluids
284
Conclusion
286
Air and steam engines compared 163
23
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