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  • Essay / Effect of injection or suction and magnetic field on...

    An oscillatory hydrodynamic flow through a porous medium delimited by two horizontal parallel porous plates in the presence of a transverse magnetic field is studied. The two fixed plates are subjected to the same constant injection/suction speeds (V). A closed form analytical solution is obtained and the effects of different parameters (injection/aspiration parameter, Darcy number, Hartmann number, frequency of oscillations, etc.) on the velocity field and skin friction are discussed in detail. using graphics. Keywords: Oscillatory flow, Magnetic field, Injection/aspiration, Channel planner.1 Introduction: Fluid flows through porous media have attracted the attention of many researchers because of their possible applications in many branches of science and of technology. In fact, a porous material containing the fluid is a non-homogeneous medium but it may be possible to treat it as a homogeneous medium, for analysis purposes, by taking its dynamic properties equal to the averages of the original non-homogeneous medium. continuum. Thus, a complicated problem of flow through a porous medium is reduced to the problem of flow of a homogeneous fluid with some additional resistance. Hydrodynamic channel flow is a classical problem for which an exact solution can be obtained by Schillicting [1]. Eckert [2] obtained the exact solution of the Navier-Stokes equations for the flow between two parallel porous plates with constant injection/suction. Considering many important applications in engineering and geophysics of channel flows through porous media, for example in the fields of chemical engineering for filtration and purification processes, in the fields of agricultural engineering f... .. middle of paper ......Sci. Acad. 75(1) (2009): 41-48.14 Garg, BP, Singh, KD and Pathak, Reena (2011). An analysis of radiative flows, free convection and mass transfer beyond an accelerated vertical plate in the presence of a transverse magnetic field, J. Rajasthan Acad. Phy. Sci. 10(1) (in press).15 Moreau, R. “MagnetoHydrodynamics”. Kluwer Academic Publishers, Dordrecht (1990).16 Makinde, OD and Mhone, PY “Heat transfer to MHD oscillatory flow in a channel filled with porous media”. Rom. Day. Phys. 50 (2005): 931-938.17 Mehmood, A. and Ali, A. “The effect of slip condition on the unsteady oscillatory MHD flow of a viscous fluid in a planing channel”. Rom. Day. Phys. 52(1-2) (2007): 85-91.18 Singh, KD and Garg, BP “Radiative heat transfer in an MHD oscillatory flow through a porous medium bounded by two vertical porous plates”. Bull. Cal. Mathematics. Soc.102(2) (2010) 129-138.