Asymptotic Methods for an Infinite Slider Bearing With a Discontinuity in Film Slope

[+] Author and Article Information
J. A. Schmitt

Ballistic Research Laboratories, Aberdeen Proving Ground, Md.

R. C. DiPrima

Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, N. Y.

J. of Lubrication Tech 98(3), 446-452 (Jul 01, 1976) (7 pages) doi:10.1115/1.3452885 History: Received November 19, 1975; Revised February 23, 1976; Online October 20, 2010


The method of matched asymptotic expansions is used to develop an asymptotic expression for the pressure for large bearing numbers for the case of an infinite slider bearing with a general film thickness that has a discontinuous slope at a point. It is shown that, in addition to the boundary layer of the pressure at the trailing edge, there is also a boundary layer in the derivative of the pressure at the point of discontinuity. The corresponding load formula is also derived. The special cases of the taper-flat and taper-taper slider bearings are discussed.

Copyright © 1976 by ASME
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