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We consider the unsteady, magnetohydrodynamic, oscillatory flow of an incompressible, electrically conducting, second-grade fluid through a saturated, porous medium between two vertical plates that are under the influence of a uniform, transverse, magnetic field normal to the plates, with heat source and chemical reaction. One plate of the vertical channel is kept stationary, whereas the other is oscillating with uniform velocity; the two plates are subjected to constant injection and suction velocities, respectively. The flow through the porous medium is governed by the equation for Brinkman's model for momentum. The closed-form solutions of the governing equations are obtained for velocity, temperature, and concentration profiles, with use of the perturbation technique. The effects of various governing parameters on these three profiles are computationally discussed and graphically presented. Skin friction, Nusselt number, and Sherwood number are obtained analytically, and their behaviors are computationally discussed.
Krishna et al. (Mon,) studied this question.