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

Siddiqui, A. M.; Irum, S.; Ansari, A. R.

Math. Model. Anal. 13, No. 4, 565-576 (2008).

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.

MSC:

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

Keywords:

similarity transformation; fourth-order nonlinear differential equation