Inertia Effects in Thin Film Flow With a Corrugated Boundary

[+] Author and Article Information
Ilter Serbetci

NASA Lewis Research Center, Space Propulsion Technology Division, Cleveland, 0H 44735

John A. Tichy

Department of Mechanical Engineering, Aeronautical Engineering and Mechanics, Rensselaer Polytechnic Institute, Troy, NY 12181

J. Appl. Mech 58(1), 272-277 (Mar 01, 1991) (6 pages) doi:10.1115/1.2897163 History: Received August 02, 1989; Revised May 15, 1990; Online March 31, 2008


An analytical solution is presented for two-dimensional, incompressible film flow between a sinusoidally grooved (or rough) surface and a flat surface. The upper grooved surface is stationary whereas the lower, smooth surface moves with a constant speed, The Navier-Stokes equations were solved employing both mapping techniques and perturbation expansions. Due to the inclusion of the inertia effects, a different pressure distribution is obtained than predicted by the classical lubrication theory. In particular, the amplitude of the pressure distribution of the classical lubrication theory is found to be in error by over 100 percent (for modified Reynolds number of 3–4).

Copyright © 1991 by The American Society of Mechanical Engineers
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