Ferrofluid Lubrication of a Rough Porous Hyperbolic Slider Bearing with Slip Velocity

Abstract

An attempt has been made to study and analyze the combined effect of roughness and slip velocity on the performance of a ferrofluid based rough porous hyperbolic slider bearing. Beavers and Joseph’s slip model has been used to evaluate the effect of slip velocity. The stochastic modeling of Christensen and Tonder has been employed to estimate the effect of transverse surface roughness. The associated Reynolds’ type equation is solved with suitable boundary conditions to obtain the pressure distribution leading to the calculation of load carrying capacity. Further, the expressions for friction and position of centre of pressure are obtained. It is observed that the bearing system gets adversely affected by the transverse surface roughness. The slip velocity further enhances this adverse effect. However, the magnetization saves the situation in the case of negatively skewed roughness when variance (-ve) occurs. But for an overall improved performance of the bearing the lower values of slip parameter may be favorable.

Keywords

• Hyperbolic slider
• Ferrofluid
• Roughness
• Slip
• Load and friction