JENKINS FERROFLUID FLOW LUBRICATION OF A SQUEEZE FILM BETWEEN A SPHERE AND A FLAT POROUS PLATE BASED ON POROSITY AND SLIP VELOCITY

Abstract

To investigate the effects of various parameters on ferrofluid lubricated squeeze film bearing with an upper spherical surface and a lower flat porous plate, a mathematical model has been developed. This study examines the effect of slip velocity at the film-porous interface as suggested by Sparrow et al. [1] and modified by Shah et al. [4]. Here, the Jenkins model was used to describe ferrofluid flow behavior. In ferrohydrodynamics, the continuity equation and the equations of the ferrohydrodynamics theory were used to derive a modified Reynolds's type equation governing squeeze film pressure. From the analytical development, expressions for non-dimensional film pressure, load-carrying capacity, and response time using a modified Reynolds-type equation were derived. It was investigated how permeability, minimum film thickness, slip velocity, material constant, and magnetization parameter affect the present mechanism. The results of an investigation indicate that non-dimensional film pressure, load-carrying capacity, and response time decreased with increasing values of the radial permeability parameter, while they increased with increasing values of the axial permeability parameter. In addition, non-dimensional load-carrying capacity increased and response time decreased as minimum film thickness increased. Also, in Jenkins model, non-dimensional load carrying capacity decreased with increasing slip parameter or material parameter values.

MSC 2010: 76S05, 76M25