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Sib. Èlektron. Mat. Izv., 2017, Volume 14, Pages 518–527 (Mi semr802)  

Computational mathematics

Mathematical modeling rarefied gas flow in a rectangular channel with an inner cylindrical element

O. V. Germider, V. N. Popov

Northern Arctic Federal University named after M. V. Lomonosov, Severnaya Dvina Emb., 4, 163002, Arkhangelsk, Russia

Abstract: The article proposes method of solving the problem of heat and mass transfer in a long rectangular channel with an inner cylindrical element. A rarefied gas flow trough cross section is studied on the basis of kinetic equation in the free molecular. Diffuse reflection model for the boundary condition at the channel walls is used. The expression for the mass flux is obtained as a linear function of a pressure gradient supported in the channel.

Keywords: model of diffuse reflection, kinetic equation, free molecular regime.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-29-15116_офи_м


DOI: https://doi.org/10.17377/semi.2017.14.042

Full text: PDF file (686 kB)
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Bibliographic databases:

UDC: 517.9
MSC: 35Q20
Received March 14, 2017, published May 25, 2017

Citation: O. V. Germider, V. N. Popov, “Mathematical modeling rarefied gas flow in a rectangular channel with an inner cylindrical element”, Sib. Èlektron. Mat. Izv., 14 (2017), 518–527

Citation in format AMSBIB
\Bibitem{GerPop17}
\by O.~V.~Germider, V.~N.~Popov
\paper Mathematical modeling rarefied gas flow in a rectangular channel with an inner cylindrical element
\jour Sib. \`Elektron. Mat. Izv.
\yr 2017
\vol 14
\pages 518--527
\mathnet{http://mi.mathnet.ru/semr802}
\crossref{https://doi.org/10.17377/semi.2017.14.042}


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