Thin Fluid Film Squeezed With Inertia Between Two Parallel Plane Surfaces

[+] Author and Article Information
Seung-Man Yang

Department of Chemical Engineering, Korea Advanced Institute of Science and Technology, Yusung-Ku, Taejon 305-701, Korea

L. Gary Leal

Department of Chemical & Nuclear Engineering, University of California, Santa Barbara, CA 93106-5080

J. Tribol 115(4), 632-639 (Oct 01, 1993) (8 pages) doi:10.1115/1.2921687 History: Received May 11, 1992; Revised November 01, 1992; Online June 05, 2008


The present study is concerned with estimating the inertial effects on the draining of thin fluid layer between two parallel plane boundaries. In particular, we consider the case in which an initially stationary object with a circular plane lower surface begins suddenly moving under the action of a constant applied force toward a parallel plane wall when the inertia of the object and that of the intervening fluid in the gap are not negligible. The method of solution is a matched asymptotic expansion involving characterization of the solution by different characteristic time scales in different parts of the solution domain in the limit of small but finite Reynolds number based on the gap height. The asymptotic solution is presented for the time-dependent motion of the object and the fluid in the thin film including a proper description of the effects of both the inertia of the object and the inertia of the fluid.

Copyright © 1993 by The American Society of Mechanical Engineers
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