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Cavitation in lubrication. Part 2. Analysis of wavy interfaces

Published online by Cambridge University Press:  11 April 2006

M. D. Savage
M. D. Savage
Affiliation:
School of Mathematics, University of Leeds, England
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Abstract

The steady and unifrom flow of a viscous fluid past a unifrom cavity in a gemoetry with small, yet arbitrary, film thickness is considered. A mathematical model for describing steady perturbations to such a flow is presented in which the perturbation to the cavity-fluid interface is represented by a small amplitude harmonic wave of wavenumber n. A linearized perturbation analysis then permits the formulation of a boundary-value problem involving the homogeneous Reynolds equation, the solution to which determines both n and the perturbed pressure field.

Numerical and approximate analytic solutions are determined for the cylinderplane geometry in which fluid flows between a rotating cylinder and a Perspex block. Whilst these compare well with experimental data over the whole range \[ 0.1 < \eta U/T < 3, \] closest agreement between theory and experiment is attained for small values of both ηU/T and n.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 80 , Issue 4 , 23 May 1977 , pp. 757 - 767
Copyright
© 1977 Cambridge University Press

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References

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Floberg, L. 1957 Trans. Chalmers Univ. Tech. no. 189.
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