IJPAM: Volume 91, No. 1 (2014)

A FINITE DIFFERENCE SCHEME FOR MAGNETO
HYDRO DYNAMIC FLUID FLOW IN SLIDER BEARING

M.M. Wafula$^1$, J.K. Kwanza$^2$, J.A. Okello$^3$
$^{1,2,3}$Department of Pure and Applied Mathematics
Jomo Kenyatta University of Agriculture and Technology
P.O. Box 62000-00200, Nairobi, KENYA


Abstract. A mathematical model of magneto hydro dynamic fluid flow in a slider bearing is presented. A generalized two dimensional Reynolds-type equation is derived using the equations of motion. The equation is solved numerically using finite difference scheme which involves the conjugate Gradient method. The pressure is used to evaluate the bearing characteristics such as load carrying capacity and friction parameter. The results are presented graphically. It is found that increased magnetic field leads to increased friction.

Received: October 13, 2012

AMS Subject Classification:

Key Words and Phrases: magnetohydrodynamic, Reynolds equation, magnetic field, aspect ratio, friction

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DOI: 10.12732/ijpam.v91i1.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 91
Issue: 1