Construction and Numerical Comparison of the Model Boltzmann Equation for Gas Mixtures

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  • 混合気体に対するモデル・ボルツマン方程式の構築と数値的比較(分子スケール(2),一般講演)

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Abstract

A new model Boltzmann equation for gas mixtures, which might be regarded as a nonlinear version of the McCormack model for the linearized Boltzmann equation [McCormack, F.J., Phys. Fluids 16, 2095 (1973)], is constructed. The new model is not restricted to the Maxwell molecule but can fit to general molecular models, as in the case of the McCormack model. Some fundamental boundary-value problems in the case of a binary gas mixture are considered on the basis of the new model and other existing models as well as of the original Boltzmann equation. Then the numerical solutions of those different equations are compared with one another. As a result, it is shown that the new model reproduces well solutions of the Boltzmann equation at least in the case of weak nonequilibrium.

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