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Investigation of Pressure Distributions for a Finite Elastohydrodynamic Journal Bearing Lubricated by Ferro Fluids with Couple Stresses
American Journal of Applied Mathematics
Volume 2, Issue 4, August 2014, Pages: 135-140
Received: Aug. 2, 2014; Accepted: Aug. 18, 2014; Published: Aug. 30, 2014
Authors
Kihuga Daniel, Pure and Applied Mathematics Department, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Kinyanjui Mathew, Pure and Applied Mathematics Department, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Kimathi Mark, Pure and Applied Mathematics Department, Technical University of Kenya, T. U. K, Nairobi, Kenya
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Abstract
The performance of finite elastohydrodynamic journal bearings lubricated by ferrofluids with couple stresses has been studied. We derive a Reynolds equation that takes into account magneto elastohydrodynamics, by using the continuity and momentum equations. The equation has been integrated locally across the film thickness and an equation for the pressure gradient obtained as a function of film thickness and total mass flow rate of lubricant, the modified Reynolds equation. The modified Reynolds equation obtained is solved numerically by the finite difference technique since it is highly non-linear. The numerical scheme used is implemented in MATLAB so as to obtain the approximate solutions. The pressure distributions are obtained and the solutions obtained represented in graphs. It is clear from the results that the pressure increases with the increase in magnetism and the couple stress.
Keywords
Journal Bearing, Reynolds Equation, Magneto-Elasto-Hydrodynamic Lubrication, Couple Stresses
Kihuga Daniel, Kinyanjui Mathew, Kimathi Mark, Investigation of Pressure Distributions for a Finite Elastohydrodynamic Journal Bearing Lubricated by Ferro Fluids with Couple Stresses, American Journal of Applied Mathematics. Vol. 2, No. 4, 2014, pp. 135-140. doi: 10.11648/j.ajam.20140204.14
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