Plane Poiseuille flow for arbitrary accommodation of the tangential momentum / Chernyak V.G., Porodnov B.T., Suetin P.E., Nevolin M.V., Seleznev V.D. // Soviet Physics Journal. - 1975. - V. 16, l. 6. - P. 829-832.

ISSN:
00385697
Type:
Article
Abstract:
Using the Bubnov-Galerkin method, the problem of plane Poiseuille flow with any arbitrary Knudsen numbers is solved for the linearized BGK model. The boundary conditions assume accommodation of the tangential momentum of the gas molecules on the surface, In the case of the purely diffuse scattering of the molecules by the surface, the results so obtained agree closely (∼%) with those derived from the numerical method of Cherchin'yan. The method used in this paper may be employed for solving a wide circle of boundary problems in the dynamics of rarefied gases. © 1975 Plenum Publishing Corporation.
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DOI:
10.1007/BF00895699
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Affiliations S. M. Kirov Ural Polytechnic Institute, Russia
References Barrer, R.M., Nicholson, D., SLIP FLOW IN LONG, SINGLE CAPILLARIES: PART II. STEADY-STATE FLOW AND SPECULAR REFLECTION (1965) Canadian Journal of Chemistry, 43, p. 896; Lund, L.M., Berman, A.S., (1966) J. Appl. Phys., 37, p. 2496; Porodnov, B.T., Suetin, P.E., Borisov, S.F., (1970) Zh. Tekh. Fiz., 40, p. 2383; Edmonds, T., Hobson, I.P., (1965) J. Vac. Sci. Technol., 2, p. 189; Podgurski, H.H., Davies, F.N., (1961) J. Phys. Chem., 65, p. 1343; Cercignani, C., Daneri, A., (1963) J. Appl. Phys., 34, p. 3509; Mikhlin, S.G., (1970) Variational Methods in Mathematical Physics [in Russian], , Nauka, Moscow; Abramowitz, M., (1953) J. Math, and Phys., 32, p. 188
Correspondence Address Chernyak, V.G.; S. M. Kirov Ural Polytechnic InstituteRussia
Publisher Kluwer Academic Publishers-Plenum Publishers
Language of Original Document English
Abbreviated Source Title Russ. Phys. J.
Source Scopus