Kinetic Theory of Macroscopic Transport Phenomena in Multifluid Systems

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  • Wu S. T.
    Research Institute, University of Alabama in Huntsville

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A rigorous formal kinetic theory of macroscopic transport phenomena for N-component gas mixtures with internal degrees of freedom under the condition of non-local-thermodynamic-equilibrium (Non-LTE) is derived. The methods used in this derivation are essentially a combination of those used by Chapman and Enskog for monatomic gases (as extended to multicomponent mixtures by Curtiss and Hirschfelder), and those used by Wang Chang and Uhlenbeck for a single polyatomic gas for the case where the equilibration between internal and translational degrees of freedom proceeds very fast. Also we have incorporated the BGK kinetic model to resolve the problem of Non-LTE. The calculations made correspond to the first approximation in the classical Chapman-Enskog theory. Expressions are derived for the coefficients of shear viscosity, bulk viscosity (due to internal degrees of freedom), ordinary diffusion, thermal diffusion, translational and internal thermal conductivity.

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