Finite-Element Solution of the Incompressible Lubrication Problem

[+] Author and Article Information
M. M. Reddi

Franklin Institute Research Laboratories, Philadelphia, Pa.

J. of Lubrication Tech 91(3), 524-533 (Jul 01, 1969) (10 pages) doi:10.1115/1.3554977 History: Received November 22, 1968; Online August 23, 2011


A minimum principle for the transient incompressible Reynold’s equation, with the natural boundary conditions of prescribed pressure, as well as flow, is presented. The finite element method is introduced as the numerical counterpart of the Rayleigh-Ritz procedure. Flow computation is shown to be a natural corollary of the integral principle. Solutions of several test problems are presented.

Copyright © 1969 by ASME
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