The Mechanical Theory of Heat

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Macmillan, 1879 - 376 Seiten
 

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Divergence of the Results obtained from Pambours Assumption 251
12
7 8 9 11 13
13
CHAPTER I
21
Starting Point of the theory 2 Positive and Negative Values of Mechanical Work
22
Expression for the First Main Principle 4 Numerical Relation between Heat and Work
24
The Mechanical Unit of Heat
25
Development of the First Main Principle 7 Different Conditions of the quantities J W and
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
21
49
25
50
27
52
33
54
Integration of the Differential Equations which express the First
60
CHAPTER III
69
Result of the Cyclical Process 3 Cyclical Process in the case of a body composed partly of Liquid
71
and partly of Vapour 4 Carnots view as to the work performed during the Cyclicai
73
Proof that the Relation between the Heat carried over and that
79
CHAPTER IV
91
Equivalence Values of the Transformations
97
Combined value of all the Transformations which take place in a single Cyclical Process
101
Proof that in a reversible Cyclical Process the total value of all the Transformations must be equal to nothing
102
On the Temperatures of the various quantities of Heat and the Entropy of the body
106
On the Function of Temperature T
107
CHAPTER V
110
110
112
Discussion of the Variables which determine the Condition of the body
113
Elimination of the quantities U and S from the two fundamental equations
113
Case in which the Temperature is taken as one of the Independent Variables
115
Particular Assumptions as to the External Forces
116
Frequently occurring forms of the differential equations
118
Equations in the case of a body which undergoes a partial change in its condition of aggregation
119
Clapeyrons Equation and Carnots Function
121
116
125
CHAPTER VI
126
Specific Heat of Saturated Steam
128
Numerical Value of h for Steam
133
CHAPTER VII
163
Experiments on Substances which expand during Fusion
169
two States of Aggregation
172
Relation of the expressions Day and Axy 205
174
CHAPTER VIII
175
Specific Heats under other circumstances
184
Alteration of temperature during the extension of the
190
Differential equations for the case in which only reversible
197
CHAPTER X
212
Magnitude of the Uncompensated Transformation
214
Expansion of a Gas unaccompanied by Work
223
Expansion of a Gas doing partial work
223
Methods of experiment used by Thomson and Joule
223
Development of the equations relating to the above method
223
Results of the experiments and the equations of Elasticity for 8 On the Behaviour of Vapour during expansion and under various circumstances 212 ...
224
1 Necessity of a new investigation into the theory of the Steam Engine 2 On the action of the SteamEngine 3 Assumptions for the purpose of Simpli...
241
7 Pambours Formulæ for the relation between Volume and Pres 8 Pambours Determination of the Work done during a single stroke
243
Pambours Value for the work done per unitweight of steam
250
Pressure of Steam in the Cylinder during the different Stages
255
Changes in the Steam during its passage from the Boiler into the Cylinder
255
Substitution of the Volume for the corresponding Tempera
257
sure 242
259
Special Form of Equation 32 for an Engine working without
265
Numerical values of the constants
267
Summary of various cases relating to the working of the engine
273
Equations for the work done during any cyclical process
279
Another form of the last expression
282
143
290
148
291
150
292
155
293
CHAPTER XII
295
Determination of corresponding points and corresponding
301
The relation of corresponding elements of surface
309
Relations between B D F and
316
Taits Objections
323
General view of the concentration of rays
324
Mutual radiation of entire surfaces
328
On Rankines Paper and Thomsons Second Paper
334
Fundamental principle on which the authors proof of the second
340
Thermoelastic Properties of Solids
363

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