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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

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

This article is cited 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

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.

UDC: 519.634

MSC: 76P05

Received: 04.06.2012

DOI: 10.7868/S0044466913030083


 English version:
Computational Mathematics and Mathematical Physics, 2013, 53:3, 336–349

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