Reynolds Equation Development for Double Porous Layered Circular Squeeze Film Bearing using Shliomis Model

Abstract

This study presents theoretical development of Reynolds type equation for the double porous layered circular squeeze film bearing lubricated with ferro-fluid considering Shliomis flow Model. The external magnetic field is considered variable and oblique due to its benefit of generating utmost field at the essential contact region of the bearing. The effects of slip and squeeze velocities are also taken in to account. The squeeze film circular bearings are made up of circular impermeable discs having porous layer applied on both upper disc and lower disc. It is assumed that inside the porous matrix, the Darcy’s Law is valid. The Shliomis flow model is considered as it includes the rotation effects of magnetic particles and carrier liquid. In addition, the porosity effect is also included due to its beneficial assets of self-lubrication. The main objective of the study is to develop the Reynolds Equation considering Shliomis model theoretically. By using the basic assumptions of the lubrication theory, the Reynolds type Equation is finally obtained which contains the pressure and it can be obtained by solving Reynolds Equation with suitable pressure boundary conditions.