Symmetry Reduction of Reynolds Equation and Applications to Film Lubrication

[+] Author and Article Information
M. L. Abell, W. F. Ames

School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332

J. Appl. Mech 59(1), 206-210 (Mar 01, 1992) (5 pages) doi:10.1115/1.2899430 History: Received November 21, 1989; Revised September 24, 1990; Online March 31, 2008


A symmetry reduction using a one-parameter spiral group is performed on a Reynolds equation in order to analyze this equation arising in the study of film lubrication. Approximate solutions are found for the time-independent case-both numerically and by the method of perturbation. Solutions to the time-dependent equation are found by using the invariance in the time and angular variables only. These solutions, called semi-invariant solutions, are determined through separation of variables.

Copyright © 1992 by The American Society of Mechanical Engineers
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