The magnetohydrodynamic effects on a fluid film squeezed between two rotating surfaces

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Abstract
Considers the motion of a fluid film squeezed between two rotating parallel plane surfaces in the presence of a magnetic field applied perpendicular to the surfaces. Attention is given to the case where a similarity solution can be obtained. Approximate analytical solutions are given, and a numerical solution to the resulting nonlinear ordinary differential equations is presented. The combined effects of the magnetic forces and the centrifugal inertial forces on the velocity profiles, the load capacity and the torques that the fluid exerts on the surfaces are studied. In general, the results show that these two forces have opposite effects.