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Numerical solution of the variational Rayleigh problem of gas lubrication theory

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Abstract

The three-dimensional variational problem of the optimization of the microgeometry of a gas-lubricated bearing with respect to the maximum lift criterion is considered. The pressure field in the gas film is determined using the Dirichlet boundary-value problem for the gas lubrication Reynolds equation. The results of the numerical solution of the variational problem based on the consideration of the first variation of a functional are presented. The calculation results are presented for a wide range of the problem parameters.

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Authors
  1. Yu. Ya. Boldyrev
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  2. S. V. Lupulyak
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  3. Yu. K. Shinder
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Additional information

St. Petersburg. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 6, pp. 31–38, November–December, 1995.

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Boldyrev, Y.Y., Lupulyak, S.V. & Shinder, Y.K. Numerical solution of the variational Rayleigh problem of gas lubrication theory. Fluid Dyn 30, 826–832 (1995). https://doi.org/10.1007/BF02078196

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  • DOI: https://doi.org/10.1007/BF02078196

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