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Evolution to a steady state for a rarefied gas flowing from a tank into a vacuum through a plane channel.
- Source :
-
Computational Mathematics & Mathematical Physics . Oct2017, Vol. 57 Issue 10, p1695-1705. 11p. - Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09655425
- Volume :
- 57
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Computational Mathematics & Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 126054626
- Full Text :
- https://doi.org/10.1134/S0965542517100098