Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-28T06:45:48.236Z Has data issue: false hasContentIssue false

Cavitation in lubrication. Part 1. On boundary conditions and cavity—fluid interfaces

Published online by Cambridge University Press:  11 April 2006

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

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
Copyright
© 1977 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bretherton, F. P. 1961 J. Fluid Mech. 10, 166.
Coyne, J. C. & Elrod, H. G. 1970 J. Lub. Tech. 92, 451.
Coyne, J. C. & Elrod, H. G. 1971 A.S.M.E. Paper no. 70 – Lub. 3.
Floberg, L. 1957 Trans. Chalmers Univ. Tech. no. 189.
Floberg, L. & Jakobson, B. 1957 Trans. Chalmers Univ. Tech. no. 190.
Hopkins, M. R. 1957 Brit. J. Appl. Phys. 8, 442.
Pitts, E. & Greiller, J. 1961 J. Fluid Mech. 11, 33.
Smith, E. 1975 Ph.D. thesis, University of Leeds.
Stieber, W. 1933 Das Schwimmlager, V.D.I. (Berlin).
Swift, H. W. 1932 Proc. Inst. Civ. Engrs 233, 267.
Taylor, G. I. 1963 J. Fluid Mech. 16, 595.
Van Der Bergh, H. 1974 M.Sc. project, Mech. Engng, University of Leeds.