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This article is cited in 6 scientific papers (total in 6 papers)
Evolution to a steady state for a rarefied gas flowing from a tank into a vacuum through a plane channel
N. A. Konopel'koa, E. M. Shakhovbc a Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, Russia
b Bauman Moscow State Technical University, Moscow, Russia
c Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
Abstract:
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.
Key words:
rarefied gas dynamics equations, kinetic S-model, Kolgan’s difference scheme.
Received: 18.07.2016 Revised: 20.04.2017
Citation:
N. A. Konopel'ko, E. M. Shakhov, “Evolution to a steady state for a rarefied gas flowing from a tank into a vacuum through a plane channel”, Zh. Vychisl. Mat. Mat. Fiz., 57:10 (2017), 1722–1733; Comput. Math. Math. Phys., 57:10 (2017), 1695–1705
Linking options:
https://www.mathnet.ru/eng/zvmmf10629 https://www.mathnet.ru/eng/zvmmf/v57/i10/p1722
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Abstract page: | 168 | Full-text PDF : | 34 | References: | 33 | First page: | 1 |
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