H332 一様な外力によって誘起される平行平板間の希薄気体の流れ

概要

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A unidirectional flow of a rarefied gas between two parallel plates driven by a uniform external force is investigated on the basis of kinetic theory with special interest in the behavior in the near continuum case. The BGK model of the Boltzmann equation and the diffuse reflection boundary condition are employed as the basic system. First, a systematic asymptotic analysis of the basic system for small Knudsen numbers is carried out, and a system of fluid-dynamic type equations and their boundary conditions are derived up to the second order in the Knudsen number. Then, an accurete numerical analysis of the original BGK system is performed for a wide range of the Knudsen number by means of a finite-difference method. The behavior of the gas is clarified on the basis of the fluid-dynamic type system as well as the numerical solution of the BGK system. In particular, it is shown that an infinitesimally weak external force can cause a flow of a finite Mach number in the continuum limit.
日本流体力学会の論文
2001-07-31