The Mechanical Theory of Heat: With Its Applications to the Steam-engine and to the Physical Properties of Bodies (Google eBook)

Rudolf Clausius

J. Van Voorst, 1867 - Steam-engines - 376 pages

Contents

• MATHEMATICAL INTRODUCTION: 1
• Example from analytical mechanics: 7
• FIRST MEMOIR: 14
• Deduction of the analytical expression of the theorem special form: 21
• Investigation of the form of the expression in the case of vapours: 30
• Incidental assumption relative to perfect gases: 37
• Previous form of the theorem: 43
• Verification of this conclusion relative to Carnots function: 49
• Empirical formula for vapourvolumes: 59
• Equation for the determination of the specific heat of saturated vapour: 65
• Application to two different kinds of changes of volume: 72
• Convenient form of the integral obtained by the introduction of: 78
• Another mode of change of the freezingpoint: 83
• Remark on a change of the heat of fusion which takes place near 0: 89
• Treatment of the third case: 97
• THIRD MEMOIR: 104
• FOURTH MEMOIR: 111
• Concise restatement of the first fundamental theorem and deduction: 112
• Description of a completed cyclical process: 118
• Mathematical expression of equivalencevalues: 125
• Special form of this equation comparison of the function of the tem: 131
• Different kinds of periodically working machines: 139
• General application of the equations which hold for cyclical processes: 145
• Application of the first fundamental theorem 82: 151
• General examination of the working of a steamengine statement: 157
• Comparison of the steamengine with it perfect thermodynamic: 164
• Determination of the change suffered by a mass consisting of liquid: 172
• Determination of the work done during a cyclical process the above: 178
• Reduction of the work to a unit of weight of vapour: 185
• Values of the specific heat of water and of the latent heat of aqueous: 192
• Numerical calculation of the work of a steamengine with expansion: 198
• Table containing for aqueous vapour the values of the pressure: 204
• Condensation of vapour and work done during expansion in a vessel: 211
• Law of the dependence of the active force of heat upon the tempera: 219
• On a differential equation of similar form proceeding from the equa: 228
• Theorem concerning the heat actually present in a body: 235
• Theorem of the equivalence of transformations in its extended form: 242
• Transformationvalue of the heat of a body Changes of temperature: 250
• Appendix B On the specific heat of gases at constant volume: 256
• Table: 264
• Historical account of the circumstances under which the axiom: 270
• Treatment of the second fundamental theorem in the mechanical theory: 277
• The same subject considered by the application of the transforma: 285
• Insufficiency of the previous determination of the mutual radiation: 292
• Determination of the mutual radiation in the case where no concen: 305
• Determination of the mutual radiation between two elements which: 311
• General determination of the mutual radiation between two surfaces: 319
• Summary of principal results: 326
• Special forms of the equations in the case where the sole external force: 336
• Treatment in the case of a perfect gas: 346
• Consideration of the energy of a body and of an allied quantity desig: 353
• Changes which occur in a nonreversible manner: 362
• Establishment of the complete differential equations: 374

Bibliographic information

• Title: The Mechanical Theory of Heat: With Its Applications to the Steam-engine and to the Physical Properties of Bodies
• Author: Rudolf Clausius
• Editor: Thomas Archer Hirst
• Publisher: J. Van Voorst, 1867
• Original from: Harvard University
• Digitized: Jul 12, 2007
• Length: 376 pages
• Subjects: Steam-engines; Thermodynamics