Perturbation Solution of the 1-D Reynolds Equation With Slip Boundary Conditions

[+] Author and Article Information
Aron Sereny

Philips Laboratories, A Division of North American Philips Corporation, Briarcliff Manor, N. Y.

Vittorio Castelli

Mechanical and Nuclear Engineering Department, Columbia University, New York, N. Y.

J. of Lubrication Tech 100(1), 70-73 (Jan 01, 1978) (4 pages) doi:10.1115/1.3453116 History: Received June 30, 1977; Revised September 10, 1977; Online October 20, 2010


The method of matched asymptotic expansion is applied to obtain the pressure distribution and the load carrying capacity for an infinitely long slider bearing, operating under high-speed, low-height, with slip boundary conditions. The pressure distribution is easily applicable as the starting solution for the iterative numerical solution of Reynolds equation. Two examples given show extremely good correlation between this expansion and the numerical solution. It is shown that, for a tapered slider bearing with a bearing number above 100, the reduction in load because of slip is minimal and that, for a parabolic slider, there exists a certain unique bearing number for which the load carrying capacity is independent of the parabolic crown of the slider. It is shown that for a wide slider bearing with large bearing number, the effect of slip is on the order of 1/A.

Copyright © 1978 by ASME
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