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Zh. Vychisl. Mat. Mat. Fiz., 2013, Volume 53, Number 3, Pages 459–474 (Mi zvmmf9891)  

This article is cited in 2 scientific papers (total in 2 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

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.

DOI: https://doi.org/10.7868/S0044466913030083

Full text: PDF file (266 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2013, 53:3, 336–349

Bibliographic databases:

UDC: 519.634
MSC: 76P05
Received: 04.06.2012

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. E. A. Bedrikova, A. V. Latyshev, “Chemical potential jump during evaporation of a Bose gas with variable molecular collision frequency”, Russ. Phys. J., 57:5 (2014), 662–671  crossref  isi  elib  scopus
    2. E. A. Bedrikova, A. V. Latyshev, “Analytical solution of the second Stokes problem with variable amplitude on behavior of gas over an oscillation surface”, V International Conference on Problems of Mathematical and Theoretical Physics and Mathematical Modelling, Journal of Physics Conference Series, 788, IOP Publishing Ltd, 2017, UNSP 012038  crossref  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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