Effects of Velocity-Slip and Viscosity Variation in Squeeze Film Lubrication of Spherical Bearings

In this paper, a theoretical study of effects of velocity-slip and viscosity variation on squeeze film lubrication of spherical bearings is analyzed. The modified Reynolds accounting for velocity-slip and viscosity variation using deterministic theory is mathematically derived. It is applied to study the effects of velocity-slip and viscosity variation in squeeze film lubrication of spherical bearings. In order to get the expression for pressure the modified Reynolds equation is solved. Then by making use of this expression, we obtain the expressions for load carrying capacity which in tern is used to find the expression for response time. These expressions are numerically computed and the results are presented graphically. From the numerical computations of the results, it is found that the beneficial result for hydrodynamic lubrication due to the presence of increased viscosity near the bearing surface was indicated. Although the effects of velocity-slip at the bearing is to decrease both the load capacity, frictional force and the coefficient of friction increases which leads to an un-favorable results. For a gas-lubricated hydrostatic bearing, the gas film pressure and the load decrease with increasing molecular mean free path.