The temperature-jump problem for a variable collision frequency model

被引:32
|
作者
Barichello, LB [1 ]
Bartz, ACR
Camargo, M
Siewert, CE
机构
[1] Univ Fed Rio Grande Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil
[2] Univ Fed Rio Grande Sul, Programa Posgrad Matemat Aplicada, BR-91509900 Porto Alegre, RS, Brazil
[3] Univ Fed Rio Grande Sul, Programa Posgrad Engn Mecan, BR-90050170 Porto Alegre, RS, Brazil
[4] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
[5] Univ Reg Integrada Alto Uruguai & Missoes, Erechim, RS, Brazil
关键词
D O I
10.1063/1.1416192
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
An analytical version of the discrete-ordinates method is used here in the field of rarefied-gas dynamics to solve a version of the temperature-jump problem that is based on a linearized, variable collision frequency model of the Boltzmann equation. In addition to a complete development of the discrete-ordinates method for the application considered, the computational algorithm is implemented to yield accurate numerical results for three specific cases: the classical BGK model, the Williams model (the collision frequency is proportional to the magnitude of the velocity), and the rigid-sphere model. (C) 2002 American Institute of Physics.
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页码:382 / 391
页数:10
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