Topic > Effect of injection or suction and magnetic field on...

An oscillatory hydrodynamic flow through a porous medium bounded by two parallel horizontal porous plates is studied in the presence of a transverse magnetic field. Both fixed plates are subjected to the same constant injection/aspiration velocities (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 with the help of graphics. Keywords : Oscillatory flow, Magnetic field, Injection/suction, Channel planner.1 Introduction: Fluid flows through porous media have attracted the attention of numerous scholars due to 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 homogeneous, for analysis purposes, assuming that its dynamic properties are equal to the averages of the original continuous non-homogeneous medium. Thus the 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 the exact Schillicting solution can be obtained [1]. Eckert [2] obtained the exact solution of the 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 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...... half paper .... ..Skiing. It happens. 75(1) (2009): 41-48.14 Garg, B.P., Singh, K.D., & Pathak, Reena (2011). An analysis of radiative, free convective and mass transfer flux past an accelerated vertical plate in the presence of a transverse magnetic field, J. Rajasthan Acad. Fi. 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 medium.” Rom. Diary. Phys. 50 (2005): 931-938.17 Mehmood, A. and Ali, A. “The Effect of Slip Condition on Unsteady MHD Oscillatory Flow of a Viscous Fluid in a Planer Channel.” Rom. Diary. Phys. 52(1-2) (2007): 85-91.18 Singh, K.D. and Garg, B.P. “Radiative heat transfer in MHD oscillatory flow through a porous medium bounded by two vertical porous plates.” Bull. Cal. Mathematics. Soc.102(2) (2010) 129-138.