Derivation of ferrofluid lubrication equation for slider bearings with variable magnetic field and rotations of the carrier liquid as well as magnetic particles

Based on the Shliomis model for ferrofluid flow and continuity equation, modified Reynolds equation for the study of lubrication of different slider bearings, is derived by considering the effects of oblique radially variable magnetic field and squeeze velocity. The Shliomis model is important because it includes the effects of rotations of the carrier liquid as well as magnetic particles. The variable magnetic field is important because of its advantage of generating maximum field at the required active contact zone. Using Reynolds equation, expressions for dimensionless load-carrying capacity, frictional force, coefficient of friction and center of pressure are obtained. Using these expressions, results for different slider bearings are computed for different parameters and compared.