Conditions for the Rupture of a Lubricating Film. Part I: Theoretical Model

[+] Author and Article Information
J. C. Coyne

Bell Telephone Laboratories, Murray Hill, N. J.

H. G. Elrod

Mechanical Engineering, Columbia University, New York, N. Y.

J. of Lubrication Tech 92(3), 451-456 (Jul 01, 1970) (6 pages) doi:10.1115/1.3451441 History: Received June 18, 1969; Online October 18, 2010


The shape of the film-vapor interface is found for a thin liquid film separating from a stationary surface and being swept away on an opposing moving surface. The analysis is for two-dimensional Newtonian flow, and includes the effects of gravity, inertia, and surface tension. The principal assumption is that of a quadratic tangential velocity distribution across the film. The solution shows that the entire separation phenomenon is completed in a distance of about one plate clearance from the stagnation point. Stagnation points occur on the vapor-liquid interface at the separation point and at a film height of 3h∞ (three times the film height on the moving plate far downstream). For a fixed separation height, the asymptotic film thickness h∞ is shown as a function of three dimensionless parameters. The results are in good agreement with published experimental data.

Copyright © 1970 by ASME
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