The effect of slip velocity on the ferrofluid based squeeze film in longitudinally rough conical plates

Abstract

This article makes an attempt to study and analyze the effect of slip velocity on the performance of a magnetic fluid based squeeze film in conical plates considering the longitudinal roughness pattern. The slip model of Beavers and Joseph has been deployed to calculate the effect of slip velocity. The stochastic averaging model of Christensen and Tonder has been used to evaluate the longitudinal roughness effect. The concerned stochastically averaged Reynolds type equation is solved to get the pressure distribution which results in the calculation of load carrying capacity. The findings indicate that the combined adverse effect of slip velocity and roughness can be overcome to a large extent by the positive effect of magnetization and the standard deviation in the case of negatively skewed roughness. This effect further enhances when variance(-ve) is in place. A significant aspect of our study is that in spite of the adverse effect of slip velocity the rough bearing system sustains certain amount of load, even in the absence of the flow which is rarely seen in the case of traditional lubricant based conical bearing system.