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Zh. Vychisl. Mat. Mat. Fiz., 2011, Volume 51, Number 2, Pages 329–348 (Mi zvmmf8065)  

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

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.

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English version:
Computational Mathematics and Mathematical Physics, 2011, 51:2, 308–325

Bibliographic databases:

UDC: 519.634
Received: 09.09.2010

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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\paper Mathematical modeling of gas lubrication problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\pages 329--348
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  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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