THREE POROUS LAYERED FERROFLUID SQUEEZE FILM WITH A CONVEX PAD STATOR UNDER SLIP AND SQUEEZE VELOCITY EFFECTS

Abstract

This paper presents a mathematical model and analysis for a slider bearing consisting of a convex pad stator with three porous layers attached to the slider. As a lubricant, ferrofluid is used. The problem takes into account the influence of slip velocity, as proposed by Sparrow et al. [1] and modified by Shah et al. [2]. To describe magnetic fluid penetration dynamics through porous media, we have used modified Darcy's law given by Zahn and Rosensweig [3]. Solving the generalized Reynolds equation yields the expression for pressure. The equations for load carrying capacity can then be obtained by using this expression. Non-dimensional pressure, load carrying capacity, friction on the slider, coefficient of friction, and position of the centre of pressure are expressed analytically. A numerical computation is performed and graphical results are presented. The results indicate that a greater field strength or greater inlet to outlet film thickness ratio a increases load carrying capacity. Non-dimensional coefficient of friction and friction on the moving slider increase with decreasing inlet-to-outlet film thickness ratio a or higher crown ratio. When the film thickness ratio increased, the centre of pressure shifted towards the outlet. After the film thickness ratio a reached a particular level, it changed in the direction of the inlet as field strength became larger. However, it shifted towards the inlet when the magnetization parameter increased. When the slip parameter was increased, the non-dimensional load capacity, slider friction, and centre of pressure location all decreased. Overall, it can be said that smaller values of , , , and  < <  yield higher performance.