Extended thermodynamics of mixtures of ideal gases
type: Item
instance of: scholarly article
title: Extended thermodynamics of mixtures of ideal gases
zbMATH Open document ID: 0645.76103
DOI: 10.1016/0020-7225(87)90137-6
published in: International Journal of Engineering Science
publication date: 1987-01-01T00:00:00Z
review text: A mixture of \(\nu\) ideal gases (quantum as well as classical) is treated by methods of Extended Thermodynamics as 13\(\nu\)-field theory: \(\nu\) fields of partial mass densities, \(3\nu\) fields of partial mass velocities, \(3\nu\) fields of partial heat flux densities, and \(6\nu\) of partial pressure tensors. Starting out with the partial balance equations for mass, momentum, momentum flux density, and energy flux density in moving systems the dissipation inequality is exploited by Liu's method. This procedure yields expressions for the partial derivatives of the entropy density and the entropy flux density to the state variables. Constitutive equations are written down as linear ansatzes by use of representation theorems. Considering equilibrium Gibbs equation is rediscovered. By tracing out balance equations Rational Thermodynamics of the \(5\nu\)-field theory of mixtures is achieved which is compared with linear irreversible thermodynamics. Conditions are derived for Onsager's reciprocal relations being valid also in systems containing axial fields.
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 82B10
zbMATH DE Number: 4053258
zbMATH Keywords: mixture
zbMATH Keywords: ideal gases
zbMATH Keywords: Extended Thermodynamics
zbMATH Keywords: partial balance equations
zbMATH Keywords: momentum flux density
zbMATH Keywords: dissipation inequality
zbMATH Keywords: Liu's method
zbMATH Keywords: equilibrium Gibbs equation
zbMATH Keywords: Rational Thermodynamics
zbMATH Keywords: linear irreversible thermodynamics
zbMATH Keywords: Onsager's reciprocal relations
zbMATH Keywords: systems containing axial fields
author: Gilberto M. Kremer
reviewed by: Wolfgang Muschik
MaRDI profile type: Publication
full work available at URL: 0020-7225(87)90137-6
OpenAlex ID: W2026522164
cites work: Extended thermodynamics of classical and degenerate ideal gases
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cites work: On the frame dependence of stress and heat flux
cites work: Q5329008
description: scientific article; zbMATH DE number 4053258