The Mechanical Theory of Heat (Google eBook)

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Macmillan and Company, 1879 - Thermodynamics - 376 pages
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Contents

CHAPTER I
21
2 Positive and Negative Values of Mechanical Work
22
Expression for the First Main Principle
23
Numerical Relation between Heat and Work
24
The Mechanical Unit of Heat
25
Development of the First Main Principle
27
Energy of the Body
30
Equations for Finite Changes of ConditionCyclical Processes
32
Total HeatLatent and Specific Heat
33
Expression for the External Work in a particular case
35
ON PERFECT GASES
39
Deduction as to the two Specific Heats and transformation of
46
Various Formulae relating to the Specific Heats of Gases
56
Determination of the External Work done during the change
64
Kesult of the Cyclical Process
71
New Fundamental Principle concerning Heat
78
Cyclical Processes of a more complicated character
84
CHAPTER IV
91
CHAPTER V
110
Particular Assumptions as to the External Forces
116
CHAPTER VI
126
Numerical Value of h for Steam
133
Specific Heat of Saturated Steam as proved by experiment
139
A Formula to determine the Specific volume of Saturated Steam
150
Complete Differential Equation for Q in the case of a body composed both of Liquid and Vapour
156
Change of the Gaseous portion of the mass
157
Relation between Volume and Temperature
159
Determination of the Work as a function of Temperature
160
CHAPTER VII
163
Eelatiou between Pressure and Temperature of Fusion
167
Experimental Verification of the Foregoing Eesult
168
Experiments on Substances which expand during Fusion
169
Eelation between the Heat contained in Fusion and the Temps rature of Fusion
171
Passage from the solid to the gaseous condition
172
CHAPTER VIII
175
Improved Denotation for the differential coefficients
176
Eelations between the Differential Coefficients of Pressure Volume and Temperature
177
Complete differential equations for Q 5 Specific Heat at constant volume and constant pressure 6 Specific Heats under other circumstances 177
178
Methods of experiment used by Thomson and Joule 220
220
CHAPTER XL
229
Necessity of a new investigation into the theory of the Steam
235
Determination of the Work done during a single stroke 2jJ
241
Pambours Value for the Work done per unitweight of steam
247
Divergence of the Eesnlts obtained from Pambours Assumption
251
Determination of the work done during one stroke taking into consideration the imperfections already noticed
252
Pressure of Steam in the Cylinder during the different Stages of the Process and corresponding Simplifications of the Equations
255
Substitution of the Volume for the corresponding Tempera ture in certain cases
257
Work per Unitweight of Steam
259
Determination of lj and of the product Tg
260
Introduction of other measures of Pressure and Heat
261
Determination of the temperatures Ta and Tt
262
Determination of c and r
264
Special Form of Equation 32 for an Engine working without expansion
265
Numerical values of the constants
267
The least possible value of V and the corresponding amount of Work
268
Calculation of the work for other values of V 209
269
Work done for a given value of V by an engine with expansion
271
Summary of various cases relating to the working of the engine
273
Work done per unit of heat delivered from the Source of Heat
274
Friction
275
General investigation of the action of ThermoDynamic Engines and of its relation to a Cyclical Process
276
Equations for the work done during any cyclical process
279
Application of the above equations to the limiting case in which the Cyclical Process in a SteamEngine is reversible
281
Another form of the last expression
282
Influence of the temperature of the Source of Heat
284
Example of the application of the Method of Subtraction
286
CHAPTER XII
295
Reasons why the ordinary method of determining the mutual radiation of two surfaces does not extend to the present case
296
Kirchhoffs Formula for the mutual radiation of two Elements of surface
297
Expressions for the quantities of heat which dsc and dsc radiate
312
Application of A and G to determine the relation between
318
Mutual radiation of an element of surface and of a finite surface
325
CHAPTER XIII
332
Fundamental principle on which the authors proof of the second
340
Thermoelastio Properties of Solids
363

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