Higher Order Approximations in the Asymptotic Solution of the Reynolds Equation for Slider Bearings at High Bearing Numbers

[+] Author and Article Information
R. C. DiPrima

Rensselaer Polytechnic Institute, Troy, N. Y.; Mechanical Technology Inc., Latham, N. Y.

J. of Lubrication Tech 91(1), 45-51 (Jan 01, 1969) (7 pages) doi:10.1115/1.3554894 History: Received March 19, 1968; Online August 23, 2011


The methods of matched asymptotic expansions are used in a systematic manner to obtain the load-carrying capacity of an infinitely long slider bearing correct through terms 0 (1/Λ ) where Λ is the bearing number. The expression for the load is extremely simple. It is shown that the error is 0 (1/Λ2 ), and the procedure for obtaining higher order terms is discussed. Results are given for the case of a converging film thickness with a parabolic shape and for a partial arc journal bearing.

Copyright © 1969 by ASME
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