Effect of Slip Velocity on Magnetic Fluid Lubrication of Rough Porous Rayleigh Step Bearing

Snehal Shukla; Gunamani Deheri

doi:10.15282/jmes.4.2013.17.0050

Authors

Snehal Shukla Department of Mathematics, Shri R.K.Parikh Arts and Science College; Petlad, Gujarat
Gunamani Deheri Department of Mathematics, Sardar Patel University, Vallabh Vidhynagar, Gujarat

DOI:

https://doi.org/10.15282/jmes.4.2013.17.0050

Keywords:

Rayleigh step bearing; magnetic fluid; roughness; slip velocity; porosity; load-carrying capacity.

Abstract

This article aims to analyze the performance of a magnetic-fluid-based porous rough step bearing considering slip velocity. The Neuringer-Rosensweig model governs the fluid flow while the velocity slip is modeled by the method of Beavers and Joseph. The bearing surfaces are assumed transversely rough and the transverse surface roughness of the bearing surfaces is characterized by a stochastic random variable with non-zero mean, variance, and skewness. With the usual assumptions of hydrodynamic lubrication, the related stochastically averaged Reynolds’ equation for the fluid pressure is solved with appropriate boundary conditions, which is then used to calculate the loadcarrying capacity. It is found that although the bearing suffers owing to transverse surface roughness, the performance of the bearing system can be improved to some extent by the positive effect of magnetization, considering the slip parameter at the minimum; at least in the case of negatively skewed roughness. A comparison of this paper with some established investigations indicates that here, the reduction of loadcarrying capacity due to porosity and slip velocity is comparatively less, especially, when negative variance occurs. In augmenting the performance of the bearing system, the step ratio plays a central role, even if the slip parameter is at the minimum.

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