量子効果を考慮した希薄気体流れの数値シミュレーション : 第 2 報 VHS モデルと VSS モデルの性能(流体工学, 流体機械)

概要

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The variable hard sphere (VHS) and variable soft sphere (VSS) molecular models are extended to the molecular collision with quantum mechanical scattering. The total collision cross sections of the VHS and VSS models and softness coefficient of the VSS model are calculated for ^4He and ^3He gases with the Lennard-Jones potential. It is revealed that the VSS model has significant errors that the total cross section and softness parameter are diverged for collision energy ratio 0.05≲E/ε_LJ≲0.5. The efficiency of the VHS model for quantum mechanical scattering is examined for the simulation of velocity relaxation in a homogeneous space and free jet of ^4He as compared with those of quantum calculation. The macroscopic quantities of VHS model such as density, velocity, and temperature profiles are in good agreement with those of quantum calculation, although there are some discrepancy between the VHS model and quantum calculation in the velocity distribution functions of the relaxation process.
一般社団法人日本機械学会の論文
2001-12-25