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The objective of this paper is to analyse the unsteady magnetohydrodynamic flow of viscous fluid with an angular velocity between parallel porous plates when the fluid is being withdrawn through both the walls of the channel at the same rate. The problem is reduced to a third-order linear differential equation which depends on a Suction Reynolds number R and Hartmann number with angular velocity M 1  for which an exact solution is obtained.

Similarity solution for unsteady magnetohydrodynamic flow between two parallel porous plates with an angular velocity