A Numerical Analysis of Plane Couette Flow of Rarefied Binary Gas Mixture

概要

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The plane Couette flow problem for rarefied binary gas mixture is studied on the basis of relaxation-type kinetic model equations. The results of numerical computations for the case where the relative wall velocity U_w is small are found to be qualitatively in good agreement with results of the analysis by Weinstein both on the basis of the two-component equivalents of Grad's thirteen-moment approximations and on the basis of two-stream function method of Liu and Lees. The cases where U_w is moderate or large are also analysed on the basis of the same model equations. The velocity profiles of each species are found to indicate no appreciable separation for the case of not so large U_w. The separation between each species in the number density becomes appreciable as U_w increases. The friction coefficients are found to smoothly bridge from the continuum to the free-molecule limit.
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