Perturbation Approach to Hydrodynamic Lubrication Theory

[+] Author and Article Information
C. M. Myllerup

Department of Machine Elements, Technical University of Denmark, 2800 Lyngby, Denmark

B. J. Hamrock

Department of Mechanical Engineering, The Ohio State University, Columbus, Ohio 43210

J. Tribol 116(1), 110-118 (Jan 01, 1994) (9 pages) doi:10.1115/1.2927025 History: Received February 24, 1993; Online June 05, 2008


Three perturbation approaches that apply for regular hydrodynamic lubrication problems are discussed: a cross-film coordinate perturbation, an iterative scheme, and a regular perturbation in terms of the film aspect ratio. The methods are used to derive higher order terms for a driven corner flow with a Newtonian lubricant of constant properties. Reasons for preferring the regular perturbation scheme are presented, and this method is used to obtain the correct curvature correction in an infinitely long journal bearing. Criteria for identifying singular geometries in hydrodynamic lubrication are set fourth.

Copyright © 1994 by The American Society of Mechanical Engineers
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