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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 2, Pages 329–348 (Mi zvmmf8065)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical modeling of gas lubrication problems

L. I. Turchak, V. P. Shidlovskii

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
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Abstract: After a brief review of the origin and development of gas lubrication as a branch of modern engineering, the principles of mathematical modeling of gas lubrication theory are formulated. It is shown that the gas lubrication theory is underlain by the boundary layer equations for gases, although the boundary conditions differ substantially from those used in external flow problems. Numerical solutions are constructed for stationary and nonstationary gas lubrication problems, including those taking into account rarefaction and the elastic properties of the boundary surfaces. Numerical examples are given.
Key words: gas lubrication problems, boundary layer equations, Reynolds equation, rarefaction effects, elasticity effects, numerical methods for gas lubrication problems.
Received: 09.09.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 2, Pages 308–325
DOI: https://doi.org/10.1134/S0965542511020151
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: L. I. Turchak, V. P. Shidlovskii, “Mathematical modeling of gas lubrication problems”, Zh. Vychisl. Mat. Mat. Fiz., 51:2 (2011), 329–348; Comput. Math. Math. Phys., 51:2 (2011), 308–325
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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