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RESEARCH PAPERS

Factored-lmplicit Finite Difference Solution of a Non-Newtonian Fluid Lubrication Equation for Three-Dimensional Bearings

[+] Author and Article Information
J. W. White

Antek Peripherals, 1340 DeAnza Blvd., San Jose, CA 95129

J. Tribol 118(4), 824-831 (Oct 01, 1996) (8 pages) doi:10.1115/1.2831615 History: Received February 21, 1994; Revised January 19, 1996; Online January 24, 2008

Abstract

A time dependent lubrication equation is developed for a non-Newtonian fluid whose shear stress is expressed in terms of instantaneous strain rate. By expanding the shear stress through a two function Taylor series, the stress/strain-rate relationship is linearized within the time interval (tn ≤ t ≤ tn+1 ) but accurate to O(Δt2 ). This produces a linear lubrication equation which is second-order time-accurate. The resulting finite difference form of the lubrication equation is then factored and split into two equations, each of which represents a sequence of one-dimensional systems of tri-diagonal scalar equations. A finite difference code based on this algorithm was written called VISQUSFLO which provides static and dynamic analysis of the head/disk interface of data storage systems. Numerical examples of a shear-thinning fluid are presented for clearances in the range of 25-50 nm for finite width slider bearings.

Copyright © 1996 by The American Society of Mechanical Engineers
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