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RESEARCH PAPERS

Approximate Methods for Time-Dependent Gas-Film Lubrication Problems

[+] Author and Article Information
W. A. Michael

IBM Research Laboratory, San Jose, Calif.

J. Appl. Mech 30(4), 509-517 (Dec 01, 1963) (9 pages) doi:10.1115/1.3636611 History: Received August 20, 1962; Revised February 13, 1963; Online September 16, 2011

Abstract

The pressure in a thin film of gas undergoing laminar, isothermal flow is given by the so-called Reynolds equation, a nonlinear, second-order, partial differential equation of parabolic type. The Reynolds equation plays a central role in the theory of gas-film lubrication. This paper is devoted to a study of numerical procedures based upon finite differences for obtaining approximate solutions. A number of explicit, semi-explicit, and implicit difference schemes are examined from the point of view of truncation error, stability, and computational efficiency.

Copyright © 1963 by ASME
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