This article discusses the effect of longitudinal roughness on the performance of hydromagnetic squeeze film in circular step bearing. To characterize the random roughness of the bearing surfaces the stochastic model of Christensen and Tonder has been employed. The stochastically averaged Reynolds’ type equation is solved using suitable boundary conditions to obtain the pressure distribution and then the load bearing capacity is computed. The results are presented in graphical form. The graphical results presented here establish that the hydromagnetic lubrication offers significant help to the longitudinal roughness pattern to enhance the performance of the bearing system. Of course, conductivities of the plates, standard deviation, and the supply pressure contribute towards reducing the negative effect induced by variance (+ve) and skewness (+ve).

In this paper steady, two dimensional, incompressible, electrically conducting, MHD fluid through porous media in a rotating reference frame with Hall effect under the presence of magnetic field is considered. The magnetic field is applied along the z-axis. Using complex variable technique the governing equations are recast in solvable form. Exact solutions are obtained for straight parallel flows.

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