Numerical solution of the MHD Reynolds equation for squeeze film lubrication between two parallel surfaces

Characteristic features of squeeze film lubrication between two rectangular plates, of which, the upper plate has a roughness structure, in the presence of a uniform transverse magnetic field are examined. The fluid in the film region is represented by a viscous, incompressible and electrically conducting couple-stress fluid. The thickness of the fluid film region is h and that of the roughness is hs. The pressure distribution in the film region is governed by the modified Reynolds equation, which also incorporates the roughness structure and couple stress fluid. This Reynolds equation is solved using a novel multigrid method for all involved physical parameters. It is observed that the pressure distribution, load carrying capacity and squeeze film-time increase for smaller values of couple-stress parameter and for increasing roughness parameters and Hartmann number compared to the classical case.