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Numerical Study of a Magneto-fluid Motion Through a Porous Medium Between Two Wavy Plates with Constant Suction
Authors:E F ELSHEHAWEY  E M E ELBARBARY  N S ELGAZERY
Institution:Department of Mathematics , Faculty of Education, Ain Shams University , Roxy, Heliopolis, Cairo, Egypt
Abstract:In this note, the problem of an incompressible viscous fluid moving through a porous medium (Brinkman model) between two wavy plates under the effects of a constant inclined magnetic field that makes an angle with the vertical axis and constant suction, are studied numerically by a method related to the method of Takabatake and Ayukawa in 1982. The present approach is not restricted by any of the parameters appearing in the problem such as Reynolds number, magnetic parameter, suction parameter, the wave number and amplitude ratio. The variations in velocity, flow rate and pressure gradient with the above governing parameters are presented. Moreover, the effect of varying the porous medium and the inclined angle is also studied.
Keywords:Porous medium  Inclined magnetic field  Suction  Finite difference method
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