The Concepts and Logic of Classical Thermodynamics as a Theory of Heat Engines: Rigorously Constructed upon the Foundation Laid by S. Carnot and F. Reech

ISBN-13: 9783642810794 / Angielski / Miękka / 2012 / 154 str.

Clifford A. Truesdell;Subramanyam Bharatha

Opis

Mon but n'a jamais be de m'occuper des ces matieres comme physicien, mais seulement comme /ogicien ... F. REECH, 1856 I do not think it possible to write the history of a science until that science itself shall have been understood, thanks to a clear, explicit, and decent logical structure. The exuberance of dim, involute, and undisciplined his torical essays upon classical thermodynamics reflects the confusion of the theory itself. Thermodynamics, despite its long history, has never had the benefit of a magisterial synthesis like that which EULER gave to hydro dynamics in 1757 or that which MAXWELL gave to electromagnetism in 1873; the expositions in the works of discovery in thermodynamics stand a pole apart from the pellucid directness of the notes in which CAUCHY presented his creation and development of the theory of elasticity from 1822 to 1845. Thermodynamics was born in obscurity and disorder, not to say confusion, and there the common presentations of it have remained. With this tractate I aim to provide a simple logical structure for the classical thermodynamics of homogeneous fluid bodies. Like any logical structure, it is only one of many possible ones. I think it is as simple and pretty as can be.

Spis treści

I. Calorimetry.- 1 Notations. Constitutive Domain. Heat and Work. Processes. Paths. Cycles.- 2 Thermal Equation of State. Examples. First Reversal Theorem.- 3 The Doctrine of Latent and Specific Heats. Second Reversal Theorem. Fundamental Theorem of Calorimetry.- 4 Adiabatic Processes. Laplace’s Theorem.- 5 Examples.- 6 Emission-Absorption Estimates.- II. Carnot’s General Axiom.- 7 Carnot Processes. Carnot Cycles and Webs. Lemmas regarding Heat and Work for Cycles in a Carnot Web.- 8 Carnot’s General Axiom. Local Theory: Reech’s First Theorem, First Principal Lemma.- 9 Basic Constitutive Restrictions in a Thermodynamic Part and in the Normal Set. Pro-Entropy and Internal Pro-Energy.- 10 Cyclic Processes in ?th and ?th. C-Processes. Efficiency Theorem and Emission-Absorption Theorem for C-Processes. Completeness Theorems.- 11 Properties of Ideal Gases and Van der Waals Fluids.- 12 Relation of Motors to Refrigerators.- 13 Estimates of the Efficiency of a Body undergoing a Cyclic Process.- 14 The Fourth Theorem of Reech: Existence of Four Thermodynamic Potentials.- III. Universal Efficiency Of Ordinary Carnot Cycles.- 15 Universal Efficiency of Ordinary Carnot Cycles Compatible with the Existence of an Ideal Gas with Constant Specific Heats. Proof of the “First Law” and “Second Law” of Thermodynamics.- Appendix: A System of Axioms for the Thermodynamics of Clausius.- 16 Invariance of the Carnot Function under Change of the Unit of Temperature. Alternative to Axiom V.- Epilogue.- 17 Axioms for Energy and Entropy.- Index of frequently used symbols.- Index of frequently used terms.- Index of references to historical origins of thermodynamics.- Index of references to standard presentations of thermodynamics.