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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 of Non-Equilibrium Thermodynamics – de Gruyter
Published: Jan 1, 1993
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