Evaporation and condensation of a binary mixture of vapors over a plane condensed phase : Numerical analysis of the linearized Boltzmann equation

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  • YASUDA Shugo
    Dept. of Aeronautics and Astronautics and Advanced Research Institute of Fluid Science and Engineering, Graduate School of Engineering, Kyoto University
  • TAKATA Shigeru
    Dept. of Aeronautics and Astronautics and Advanced Research Institute of Fluid Science and Engineering, Graduate School of Engineering, Kyoto University
  • AOKI Kazuo
    Dept. of Aeronautics and Astronautics and Advanced Research Institute of Fluid Science and Engineering, Graduate School of Engineering, Kyoto University

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Other Title
  • 平面凝縮相における2成分混合蒸気の蒸発・凝縮 : 線形化ボルツマン方程式の数値解析(S27-2 熱流体現象に対する分子気体力学および分子動力学法の応用(2),S27 熱流体現象に対する分子気体力学および分子動力学法の応用)

Abstract

Half-space problem of evaporation and condensation of a binary mixture of vapors is investigated on the basis of the linearized Boltzmann equation for hard-sphere molecules with the complete condensation condition. The problem is analyzed numerically by a finite-difference method, in which the complicated collision integrals are computed by the extension of the method proposed by Sone, Ohwada, and Aoki [Phys. Fluids A 1, 363 (1989)] to the case of a gas mixture. As a result, the behavior of the mixture is clarified not only at the level of the macroscopic quantities but also at the level of the velocity distribution function. In addition, accurate formulas of the temperature, pressure, and concentration jumps caused by the evaporation or condensation are constructed for arbitrary values of the concentration of a component gas by the use of the Chebyshev polynomial approximation.

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