NUMERICAL MODELING OF JENKINS MODEL BASED FERROFLUID LUBRICATION SQUEEZE FILM PERFORMANCE IN ROUGH CURVED ANNULAR PLATES UNDER THE PRESENCE OF SLIP VELOCITY

Abstract

An endeavour has been made to analyze the performance of a Jenkins model based magnetic squeeze film between curved transversely rough annular plates when the curved upper plate approaches the curved lower plate along surfaces governed by hyperbolic functions. Beavers and Joseph’s slip model has been adopted to evaluate the effect of slip velocity. The random roughness of the bearing surfaces is characterised by a stochastic random variable with nonzero mean, variance, and skewness. The associated dimensionless stochastically averaged Reynolds equation is solved with suitable boundary conditions in non dimensional form to obtain the pressure distribution, leading to the expression for load carrying capacity. The graphical results establish that the bearing system registers an enhanced performance as compared to that of the bearing system dealing with a conventional lubricant. This investigation proves that albeit the bearing suffers due to transverse surface roughness, there exist sufficient scopes for obtaining a relatively better performance in the case of negatively skewed roughness by properly choosing curvature parameters and slip velocity. Further, Jenkins model based ferrofluid lubrication offers some measures in reducing the adverse effect of roughness when slip parameter is kept at minimum level. It is appealing to note that the variance (-ve) further enhances this positive effect.