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Cavitation in lubrication. Part 1. On boundary conditions and cavity—fluid 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 flow of viscous lubricant in narrow gaps is considered for those geometries in which cavitation arises. A detailed review is presented of those boundary conditions which have been proposed for terminating the lubrication regime (i.e. those valid where the cavity forms). Finally it is shown that a uniform cavity-fluid interface remains stable to small disturbances provided that \[ \frac{d}{dx}\left(P+\frac{T}{r}\right) < 0, \] in which T and r represent the surface tension of the fluid and the radius of curvature of the interface respectively whilst dP/dx is the gradient of fluid pressure immediately upstream of the interface.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 80 , Issue 4 , 23 May 1977 , pp. 743 - 755
Copyright
© 1977 Cambridge University Press

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