Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A wedge-flow approach to lubrication theory

Author: W. E. Langlois
Journal: Quart. Appl. Math. 23 (1965), 39-46
MSC: Primary 76.34
DOI: https://doi.org/10.1090/qam/176707
MathSciNet review: 176707
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Abstract: A theory of fluid-film lubrication is developed from an assumption of local wedge-flow, rather than local parallel-channel flow. This leads to a generalization of the Reynolds lubrication equation governing the pressure. A refinement of lubrication theory does not necessarily follow: unlike the parallel-channel case, the stress field may differ significantly from an isotropic pressure, so that imposing ambient conditions on the bearing periphery does not always yield boundary conditions for the pressure equation. If the bearing slope differs appreciably from zero only in the film interior, consistent boundary conditions are once more available.

References [Enhancements On Off] (What's this?)

  • [1] W. E. Langlois, Slow viscous flow, The Macmillan Co., New York; Collier-Macmillan Ltd., London, 1964. MR 0173436
  • [2] A. A. Milne: A contribution to the theory of hydrodynamic lubrication: A solution in terms of the stream function for a wedge-shaped oil film; Wear 1, (1957) 32
  • [3] W. A. Gross: Gas film lubrication; Wiley, 1962; pages 138-141

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DOI: https://doi.org/10.1090/qam/176707
Article copyright: © Copyright 1965 American Mathematical Society

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