On the Mean Reynolds Equation in the Presence of Surface Roughness: Squeeze-Film Bearing

[+] Author and Article Information
N. Phan-Thien

Department of Mechanical Engineering, University of Sydney, New South Wales, 2006, Australia

J. Appl. Mech 48(4), 717-720 (Dec 01, 1981) (4 pages) doi:10.1115/1.3157721 History: Received November 01, 1980; Revised March 01, 1981; Online July 21, 2009


The mean Reynolds equation in the presence of surface roughness is derived using the techniques developed by Keller. This mean equation is nonlocal in the sense that the mean pressure at all points in the flow field has some effect on the mean pressure at any particular point. The performance of a two-dimensional squeeze film bearing with homogeneous surface roughness is considered next showing that the load is enhanced by a factor of 1 + ε2 a2 S/h2 , where εa is the amplitude of the roughness, h is the film thickness, and S varies between −3 〈m2 〉, for parallel surface roughness, to 6 〈m2 〉 for transverse surface roughness. Here, the bearing surfaces are described by εam1 and h + εam2 and m = m2 − m1 .

Copyright © 1981 by ASME
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