MHD lubrication flow between rough rectangular plates

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Abstract
The effects of surface roughness on the squeeze film behaviour between two rectangular plates with an electrically conducting fluid in the presence of a transverse magnetic field are analysed. The modified Reynolds equation which incorporates randomized roughness structure with magnetic field is derived by assuming the roughness asperity heights to be small compared to the film thickness. The finite difference based multigrid method is used for the solution of the modified Reynolds equation. The method has the advantage of minimizing the errors using correction schemes in obtaining an accurate solution as grid size goes to zero. Lubrication characteristics which are functions of roughness, Hartmann number and aspect ratio parameter are obtained. It is observed that the effect of roughness and magnetic field is to provide a significant load carrying capacity and ensure a delayed squeezing time compared to a classical case.