J. Non-Equilib. Thermodyn.
Vol. 15 (1990), pages 347-368
Transport Coefficients for Polyatomic Gases
Binary Mixtures
FLM.Velasco, M. G. Molina
Dept. of Physics, Universidad Autonoma Metropolitana,
Iztapalapa, Mexico
Received 25 July 1990
Registration Number 506
Abstract
In this work we use the Wang-Chang, Uhlenbeck, de Boer equation to describe
the behavior of a binary mixture of polyatomic gases. Grad's method allows us to
obtain the equations of motion for the relevant variables in this system. By means
of the entropy production we show the Onsager relationships between the relev-
ant fluxes and thermodynamic forces in this proplem. Usual transport coeffi-
cients are also identified in some particular cases, as the solution of the equations
of motion.
Introduction
The study of transport properties for polyatomic gases has been made from the
semiclassical generalization of the Boltzmann equation known as the Wang-
Chang, Uhlenbeck, de Boer (WCUB) equation [1-3]. It takes into account some
characteristics of polyatomic gases; in particular the translational degrees of
freedom are considered classical, whereas the internal degrees of freedom are
handled in a semiclassical manner. It is the transfer process between the transla-
tional energy and the energy associated with the internal degrees of freedom
which is very difficult to quantify in the inelastic collisions occurring between
molecules.
This equation was first solved by means of the Chapman-Enskog method [1],
and some of its properties have been studied by Taxman [2]. Mason-Monchick
[4] showed how we can calculate the transport coefficients and they defined the
so-called internal diffusion coefficient. The results are somewhat formal but it is
also known that they have been the basis of any correlation of experimental data
for polyatomic gases [5-8].
The thermal conductivity is one of the most sensitive properties reflecting the
existence of the internal degrees of freedom, this fact has caused some problems
to obtain predictive results from the existing kinetic calculations [5,6]. However,
it has been shown how some correlations for thermal conductivity and the so-
J. Non-Equilib. Thermodyn., Vol.15, 1990, No. 4
Copyright © 1990 Walter de Gruyter · Berlin · New York
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