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.
Conditions for the Rupture of a Lubricating Film. Part I: Theoretical Model
J. C. Coyne,
J. C. Coyne
Bell Telephone Laboratories, Murray Hill, N. J.
H. G. Elrod, Jr.
Mechanical Engineering, Columbia University, New York, N. Y.
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Coyne, J. C., and Elrod, H. G. (July 1, 1970). "Conditions for the Rupture of a Lubricating Film. Part I: Theoretical Model." ASME. J. of Lubrication Tech. July 1970; 92(3): 451–456. https://doi.org/10.1115/1.3451441
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