AN APPLICATION OF THE CHEBYSHEV POLYNOMIALS FOR THE CALCULATION OF A RAREFIED GAS FLOW IN THE CYLINDRICAL GEOMETRY OF THE CHANNELS

被引：2
|
作者：
Germider, O., V [1 ]
Popov, V. N. [1 ]
机构：
[1] Northern Arctic Fed Univ, 4 Severnaya Dvina Emb, Arkhangelsk 163002, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2019年 / 16卷
关键词：
BGK model kinetic equation; model of diffuse reflection; Chebyshev polynomials; RECTANGULAR CHANNEL; POISEUILLE;
D O I：
10.33048/semi.2019.16.140
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A rarefied gas flow trough a long circular tube due to pressure and temperature gradients is studied on the basis of the BGK model kinetic equation using a collocation method by the Chebyshev polynomials and rational Chebyshev functions in the whole range of the Knudsen number covering both free molecular regime and hydrodynamic one. The mass flux is calculated as a function of the pressures and temperatures on the tube ends.
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页码：1947 / 1959
页数：13
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