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Variational problem for a gas journal bearing

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Abstract

A variational problem for a gas journal bearing is considered in the one-dimensional formulation. The feature of the problem relates to the fact that an additional condition of gas exchange with the surrounding medium, namely, the Elrod-Burgdorfer condition, is used in the Reynolds equation. The system of necessary conditions of the extremum is qualitatively analyzed and, as a result, a computational procedure is constructed. An asymptotic relation between a solution of the variational problem considered and a solution of the problem when the pressure is specified on the boundaries of the region (“open profile”) is detected. The results are given over a wide parameter range.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Peter the Great Saint-Petersburg Polytechnic University, ul. Politekhnicheskaya 29, St. Petersburg, 195251, Russia

    Yu. Ya. Boldyrev & E. P. Petukhov

Authors
  1. Yu. Ya. Boldyrev
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  2. E. P. Petukhov
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Correspondence to Yu. Ya. Boldyrev.

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Original Russian Text © Yu.Ya. Boldyrev, E.P. Petukhov, 2015, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2015, Vol. 50, No. 2, pp. 16–26.

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Boldyrev, Y.Y., Petukhov, E.P. Variational problem for a gas journal bearing. Fluid Dyn 50, 193–202 (2015). https://doi.org/10.1134/S0015462815020039

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