UNSTEADY SQUEEZING FLOW OF A VISCOUS MHD FLUID BETWEEN PARALLEL PLATES, A SOLUTION USING THE HOMOTOPY PERTURBATION METHOD

Abstract

The present paper analyses the unsteady 2‐dimensional flow of a viscous MHD fluid between two parallel infinite plates. The two infinite plates are considered to be approaching each other symmetrically, causing the squeezing flow. A similarity transformation is used to reduce the partial differential equations modeling the flow, to a single fourth‐order non‐linear differential equation containing the Reynolds number and the magnetic field strength as parameters. The velocity functions are obtained for a range of values of both parameters by using the homotopy perturbation method. The total resistance to the upper plate is presented.