Variational problem for a gas journal bearing
Autor: | E. P. Petukhov, Yu. Ya. Boldyrev |
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Rok vydání: | 2015 |
Předmět: |
Fluid Flow and Transfer Processes
Bearing (mechanical) Relation (database) Mechanical Engineering General Physics and Astronomy Reynolds equation law.invention Range (mathematics) Classical mechanics Feature (computer vision) law Applied mathematics Calculus of variations Periodic problem Mathematics |
Zdroj: | Fluid Dynamics. 50:193-202 |
ISSN: | 1573-8507 0015-4628 |
DOI: | 10.1134/s0015462815020039 |
Popis: | 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. |
Databáze: | OpenAIRE |
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