Evolution to a steady state for a rarefied gas flowing from a tank into a vacuum through a plane channel


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详细

A kinetic equation (S-model) is used to solve the nonstationary problem of a monatomic rarefied gas flowing from a tank of infinite capacity into a vacuum through a long plane channel. Initially, the gas is at rest and is separated from the vacuum by a barrier. The temperature of the channel walls is kept constant. The flow is found to evolve to a steady state. The time required for reaching a steady state is examined depending on the channel length and the degree of gas rarefaction. The kinetic equation is solved numerically by applying a conservative explicit finite-difference scheme that is firstorder accurate in time and second-order accurate in space. An approximate law is proposed for the asymptotic behavior of the solution at long times when the evolution to a steady state becomes a diffusion process.

作者简介

N. Konopel’ko

Moscow Institute of Physics and Technology, Dolgoprudnyi

编辑信件的主要联系方式.
Email: konopelkon@gmail.com
俄罗斯联邦, Moscow oblast, 141700

E. Shakhov

Bauman Moscow State Technical University; Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”

Email: konopelkon@gmail.com
俄罗斯联邦, Moscow, 107005; Moscow, 119333

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