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Entropy and Entropy Production in Thermal and Chemical Non-Equilibrium Flows

Entropy and Entropy Production in Thermal and Chemical Non-Equilibrium Flows Abstract The expressions for the entropy and the production of entropy in the general case of a mixture of perfect gases in non-equilibrium chemical and internal modes, including different translational temperatures [1-5], are first given. The results obtained are then applied to the calculation of the entropy evolution along quasi-onedimensional high temperature flows of air through two different hyperenthalpic nozzles. The entropy production along the nozzles is always positive, in accordance with the second law of thermodynamics. Also shown is that the computation of entropy and of its variation constitutes a good criterion for estimating the adequacy of a numerical method for studying a given physical problem. Introduction The flows of high temperature gaseous mixtures are subject to numerous possible sources of disequilibrium. In addition to mass, momentum and energy transport processes which cause dissipation, one frequently finds chemical and internal energy modes of disequilibrium. In this paper we assume that the thermodynamic (and chemical) state of each fluid particle at any time is that of a composite system, with each sub-system being at equilibrium and satisfying well-defined constitutive relations [1]. The knowledge of these equations of state constitutes the thermostatics of the mixture. Since the internal energy http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Non-Equilibrium Thermodynamics de Gruyter

Entropy and Entropy Production in Thermal and Chemical Non-Equilibrium Flows

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References (15)

Publisher
de Gruyter
Copyright
Copyright © 2009 Walter de Gruyter
ISSN
0340-0204
eISSN
1437-4358
DOI
10.1515/jnet.1993.18.4.295
Publisher site
See Article on Publisher Site

Abstract

Abstract The expressions for the entropy and the production of entropy in the general case of a mixture of perfect gases in non-equilibrium chemical and internal modes, including different translational temperatures [1-5], are first given. The results obtained are then applied to the calculation of the entropy evolution along quasi-onedimensional high temperature flows of air through two different hyperenthalpic nozzles. The entropy production along the nozzles is always positive, in accordance with the second law of thermodynamics. Also shown is that the computation of entropy and of its variation constitutes a good criterion for estimating the adequacy of a numerical method for studying a given physical problem. Introduction The flows of high temperature gaseous mixtures are subject to numerous possible sources of disequilibrium. In addition to mass, momentum and energy transport processes which cause dissipation, one frequently finds chemical and internal energy modes of disequilibrium. In this paper we assume that the thermodynamic (and chemical) state of each fluid particle at any time is that of a composite system, with each sub-system being at equilibrium and satisfying well-defined constitutive relations [1]. The knowledge of these equations of state constitutes the thermostatics of the mixture. Since the internal energy

Journal

Journal of Non-Equilibrium Thermodynamicsde Gruyter

Published: Jan 1, 1993

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