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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 3, Pages 459–474
DOI: https://doi.org/10.7868/S0044466913030083 (Mi zvmmf9891) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Analytical solution of the second Stokes problem for rarefied gas with Cercignani boundary conditions

A. V. Latyshev, A. A. Yushkanov

Moscow State Region University
Full-text PDF (266 kB) Citations (3)
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DOI: https://doi.org/10.7868/S0044466913030083
Abstract: The second Stokes problem concerning the behavior of a rarefied gas in the half-space bounded over a plate undergoing harmonic in-plane oscillations is solved analytically using the Bhat-nagar–Gross–Krook equation with Cercignani boundary conditions for gas molecules reflecting from the wall. The distribution function of the gas molecules is constructed. The gas velocity in the half-space and near the wall, the drag force exerted by the gas on the boundary, and the energy dissipation rate per unit area of the oscillating plate are found.
Key words: eigensolutions, continuous and discrete spectra, exact solution, gas velocity, frictional force, energy dissipation, second Stokes problem.
Received: 04.06.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 3, Pages 336–349
DOI: https://doi.org/10.1134/S0965542513030068
Bibliographic databases:
Document Type: Article
UDC: 519.634
MSC: 76P05
Language: Russian
Citation: A. V. Latyshev, A. A. Yushkanov, “Analytical solution of the second Stokes problem for rarefied gas with Cercignani boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 53:3 (2013), 459–474; Comput. Math. Math. Phys., 53:3 (2013), 336–349
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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