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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1947–1959
DOI: https://doi.org/10.33048/semi.2019.16.140 (Mi semr1181) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Computational mathematics

An application of the Chebyshev polynomials for the calculation of a rarefied gas flow in the cylindrical geometry of the channels

O. V. Germidera, V. N. Popov

a Northern (Arctic) Federal University named after M.V. Lomonosov, 4, Severnaya Dvina Emb., Arkhangelsk, 163002, Russia
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DOI: https://doi.org/10.33048/semi.2019.16.140
Abstract: 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.
Keywords: BGK model kinetic equation, model of diffuse reflection, Chebyshev polynomials.
Funding agency Grant number
Russian Foundation for Basic Research 16-29-15116_офи_м
Received August 30, 2019, published December 23, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35Q20
Language: Russian
Citation: O. V. Germider, V. N. Popov, “An application of the Chebyshev polynomials for the calculation of a rarefied gas flow in the cylindrical geometry of the channels”, Sib. Èlektron. Mat. Izv., 16 (2019), 1947–1959
Citation in format AMSBIB
\Bibitem{GerPop19}
\by O.~V.~Germider, V.~N.~Popov
\paper An application of the Chebyshev polynomials for the calculation of a rarefied gas flow in the cylindrical geometry of the channels
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1947--1959
\mathnet{http://mi.mathnet.ru/semr1181}
\crossref{https://doi.org/10.33048/semi.2019.16.140}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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