0
RESEARCH PAPERS

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

Abstract

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
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In