Abstract
Thus far we have dealt with Carnot cycles as ends in themselves. It is the singular merit of Carnot to have seen that thermodynamics must relate the three constitutive functions ϖ, Λ v and K v , thus far left arbitrary, and so must have far-reaching reflections upon the mechanical and caloric properties of the bodies it models. Carnot, Clapeyron, and Reech, considering in effect only a simply connected D in which Λv > 0, derived relations connecting ϖ, Λ v , andK v . The restrictions Carnot and Clapeyron obtained are valid only in the caloric theory; those derived by Reech are indeed necessary for the truth of Axiom III but, being excessively and illusorily general, are not sufficient for it.
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© 1977 Springer-Verlag New York Inc.
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Truesdell, C.A., Bharatha, S. (1977). Basic Constitutive Restrictions in a Thermodynamic Part and in the Normal Set. Pro-Entropy and Internal Pro-Energy. In: The Concepts and Logic of Classical Thermodynamics as a Theory of Heat Engines. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81077-0_9
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DOI: https://doi.org/10.1007/978-3-642-81077-0_9
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