Abstract:
The article considers heat and mass transfer in a long channel of constant elliptical cross-section as a part of the free molecular regime. We use a diffuse reflection model as the boundary condition. The distributions are found of the mass velocity of the gas and the heat flux vector over the cross-section of the channel. An analytical method is proposed for finding the heat flux and the mass flux of the gas through the cross-section in an elliptical channel.
Keywords:
diffuse reflection model, rarefied gas, free molecular regime, heat and mass transfer processes in a channel.
Citation:
O. V. Germider, V. N. Popov, A. A. Yushkanov, “Mathematical modeling of transfer processes in an elliptical channel in the free molecular regime”, Sib. Zh. Ind. Mat., 20:3 (2017), 24–30; J. Appl. Industr. Math., 11:3 (2017), 347–353
\Bibitem{GerPopYus17}
\by O.~V.~Germider, V.~N.~Popov, A.~A.~Yushkanov
\paper Mathematical modeling of transfer processes in an elliptical channel in the free molecular regime
\jour Sib. Zh. Ind. Mat.
\yr 2017
\vol 20
\issue 3
\pages 24--30
\mathnet{http://mi.mathnet.ru/sjim965}
\crossref{https://doi.org/10.17377/sibjim.2017.20.303}
\elib{https://elibrary.ru/item.asp?id=29775041}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 3
\pages 347--353
\crossref{https://doi.org/10.1134/S199047891703005X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85028563518}
Linking options:
https://www.mathnet.ru/eng/sjim965
https://www.mathnet.ru/eng/sjim/v20/i3/p24
This publication is cited in the following 1 articles:
O. V. Germider, V. N. Popov, “Nonisothermal free-molecular flow of gas in an elliptic channel with a circular cylindrical element inside”, Tech. Phys., 64:1 (2019), 19–23
Citation in format AMSBIB
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