The Optimum One-Dimensional Magnetohydrodynamic Slider Bearing

[+] Author and Article Information
J. B. Shukla

Space Sciences Laboratory, Marshall Space Flight Center, Huntsville, Ala.

J. of Lubrication Tech 92(3), 530-534 (Jul 01, 1970) (5 pages) doi:10.1115/1.3451460 History: Received July 07, 1969; Online October 18, 2010


In this paper, the techniques of the calculus of variations are used to study the general problems in magnetohydrodynamic lubrication when two or more control variables are bounded. The load integral, in the case of a magnetohydrodynamic slider bearing, is maximized with film thickness and conductivity functions as bounded control variables. It is shown that if the conductivity of a bearing surface is of step-type function then uniformly applied magnetic fields are more advantageous.

Copyright © 1970 by ASME
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