Unsteady squeezing flow of a viscous MHD fluid between parallel plates, a solution using the homotopy perturbation method. (English) Zbl 1156.76062

Summary: The paper analyses an unsteady two-dimensional flow of 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 nonlinear differential equation containing Reynolds number and 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.


76W05 Magnetohydrodynamics and electrohydrodynamics
76M55 Dimensional analysis and similarity applied to problems in fluid mechanics
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