On the Disturbance of a Thin Layer of Liquid by a Moving Obstruction

[+] Author and Article Information
Roger F. Gans, Chung-Hai Wang

Department of Mechanical Engineering, University of Rochester, Rochester, NY 14627

J. Appl. Mech 57(4), 1066-1072 (Dec 01, 1990) (7 pages) doi:10.1115/1.2897627 History: Received December 12, 1988; Revised June 02, 1989; Online March 31, 2008


We calculate the free surface shapes upstream and downstream of an obstacle obstructing a thin liquid layer on a moving surface, taking into account gravity and surface tension. We assume low Reynolds number viscous flow, a two-dimensional layer, and small ratio of vertical to horizontal length scale. The upstream and downstream shapes are very different. The upstream liquid piles up against the obstacle to provide an overpressure sufficient to drive the Poiseuille component of the lubrication flow under the obstacle. The downstream liquid is disturbed only by surface tension.

Copyright © 1990 by The American Society of Mechanical Engineers
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