MATHEMATICAL MODELING OF HEAT TRANSFER PROCESS IN A RECTANGULAR CHANNEL IN THE PROBLEM OF POISEUILLE FLOW

被引：0
作者：
Germider, O., V [1 ]
Popov, V. N. [1 ]
机构：
[1] Northern Arctic Fed Univ, Severnaya Dvina Emb 4, Arkhangelsk 163002, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2016年 / 13卷
关键词：
Boltzmann kinetic equation; Williams equation; model of diffuse reflection; analytical solutions; Knudsen number;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We propose an analytical solution of problem of heat transfer in a long channel with a rectangular cross section. A rarefied gas flow trough cross section is studied on the basis of Williams kinetic equation in the whole range of the Knudsen number varying from the free molecular regime to the hydrodynamic one. A wide range of the aspect ratio is considered. The heat flow is calculated as a function of a constant pressure gradient supported in the channel.
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页码：1401 / 1409
页数：9
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