Effect of injection or Suction and Magnetic Field on oscillatory flow i

An oscillatory hydrodynamic flow through porous medium bounded by two horizontal parallel porous plates in the presence of transverse magnetic field is investigated. Both the stationary plates are subjected to the same constant injection / suction velocities ( V ). A closed form analytical solution is obtained and the affects of different parameters (Injection / suction Parameter, Darcy number, Hartmann number, Frequency of oscillations etc.) on velocity field and skin-friction are discussed with the help of graphs in details. Key words: Oscillatory flow, Magnetic field, Injection / suction, Planner channel. 1 Introduction: The flows of fluids through porous media have attracted the attention of a number of scholars because of their possible applications in many branches of science and 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 one, for the sake of analysis, by taking its dynamical properties to be equal to the averages of the original non-homogeneous continuum. Thus a complicated problem of the flow through a porous medium gets reduced to the flow problem of a homogeneous fluid with some additional resistance. The hydrodynamic channel flow is a classical problem for which exact solution can be obtained Schillicting [1]. Eckert [2] obtained the exact solution of Navier-Stokes equations for the flow between two parallel porous plates with constant injection/suction. In view of numerous important engineering and geophysical applications of the channel flows through porous medium, for example in the fields of chemical engineering for filtration and purification processes, in the fields of agriculture engineering f... ...Sci. Acad. 75(1) (2009): 41-48. 14 Garg, B.P., Singh, K.D. and Pathak, Reena (2011). An analysis of radiative, free-convective and mass transfer flow past an accelerated vertical plate in the presence of transverse magnetic field, J. Rajasthan Acad. Phy. Sci. 10(1) (in press). 15 Moreau, R. â€Å"MagnetoHydrodynamics†. Kluwer Academic Publishers, Dordrecht (1990). 16 Makinde, O.D. and Mhone, P.Y. â€Å"Heat Transfer to MHD Oscillatory Flow in a Channel Filled with Porous Medium†. Rom. Journ. Phys. 50 (2005): 931-938. 17 Mehmood, A. and Ali, A. â€Å"The Effect of Slip Condition on Unsteady MHD Oscillatory Flow of a Viscous Fluid in a Planer Channel†. Rom. Journ. Phys. 52(1-2) (2007): 85-91. 18 Singh, K.D. and Garg, B.P. â€Å"Radiative Heat Transfer in MHD Oscillatory Flow through Porous Medium Bounded by Two Vertical Porous Plates†. Bull. Cal. Math. Soc.102(2) (2010) 129-138.