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The equations of continuum mechanics and the laws of thermodynamics

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Abstract

With appropriate constitutive assumptions on the stress tensor, the heat flux vector, and the frictional heating associated to a process, we derive for a fluid media the existence of internal energy and entropy as well as the classical energy balance equation and the Clausius-Duhem inequality.

Sommario

Con riferimento ad un continuo fluido, si dimostra-sotto appropriate ipotesi costitutive sul tensore delle tensioni, il vettore del flusso termico e il riscaldamento per altrito associato a un processo-l'esistenza della energia interna e dell'entropia di un continuo fluido. Si derivano inoltre la classica equazione di bilancio dell'energia e la diseguaglianza di Clausius-Duhem.

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Serrin, J. The equations of continuum mechanics and the laws of thermodynamics. Meccanica 31, 547–563 (1996). https://doi.org/10.1007/BF00420825

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  • DOI: https://doi.org/10.1007/BF00420825

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