Effect of slip velocity and roughness on the performance of a Jenkins model based on magnetic squeeze film in curved rough circular plates

Abstract

An endeavour has been made to study and analyze the performance of a Jenkins model based ferrofluid squeeze film in curved rough circular plates considering the effect of slip velocity. The slip model of Beavers and Joseph has been used and Christensen and Tonder's stochastic modeling of roughness has been employed. With the aid of suitable boundary conditions the associated Reynolds type equation has been solved to derive the expression for pressure distribution, paving the way for the calculation of load carrying capacity. The graphical representations make it clear that although the load carrying capacity increases sharply with increasing magnetization, the magnetization has a limited option for mitigating the adverse effect of slip velocity and standard deviation. However, it is desirable that the slip parameter must be kept at minimum even if curvature parameters are suitably chosen. Lastly, the Jenkins model moves ahead of Neuringer-Rosensweig model for reducing the adverse effect of roughness.