Effect of Piezoviscous Dependency and Couple Stress on Squeeze Film Lubrication Between Parallel Stepped Plates

Abstract

Theoretical analysis of the effect of Piezo-viscous dependency and couple stress on squeeze film lubrication between parallel stepped plates is presented in this paper. According to the Stokes microcontinuum theory of couple stress fluids, the modified Reynold"s equation is derived by considering viscosity variation along the film thickness. The standard perturbation technique is used to solve the non-linear Reynolds equation and an approximate analytical solution for the film pressure is obtained. It is found that, the effect of couple stresses and pressure dependent viscosity variation is to increase the load carrying capacity and to lengthen the squeeze film time.