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The one-dimensional gas-lubricated slider bearing

Published online by Cambridge University Press:  17 February 2009

J. J. Shepherd
J. J. Shepherd
Affiliation:
Department of Mathematical Sciences, Rensselaer Polytechnic InstituteTroy, New York 12181, U.S.A.
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Abstract

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Under the appropriate physical hypotheses, the problem of determining the pressure distribution in a gas-filled slider bearing becomes a singular perturbation problem as Λ, the bearing number, tends to infinity. This paper extends the results of an earlier one by the author to consider the case where the film profile has jump discontinuities in slope at points interior to the bearing. Application of the methods of general singular perturbation theory establishes the appropriate existence-uniqueness results for this problem, and a means is devised by which uniformly valid asymptotic approximations to the pressure distribution may be obtained for large values of Λ.

Type
Research Article
Information
The ANZIAM Journal , Volume 22 , Issue 1 , July 1980 , pp. 75 - 97
Copyright
Copyright © Australian Mathematical Society 1980

References

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