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Influence of Side Walls on Unsteady MHD Flow of a Newtonian Fluid through a Porous Medium

Sami Ul Haq*, Furqan Saeed, Ata Ur Rahman, Munsif Ali and Ilyas Khan

In this paper, the unsteady MHD flow of viscous fluid between two side walls is studied with the help of integral transforms technique. The plate provides an oscillating shear stress to the fluid at a time t = 0+. Exact solutions have been established and given as a combination of transient and steady-state solutions. The governing equation satisfy the appropriate boundary and initial conditions. The obtained results are reduced to those solutions which are corresponding for the flow over an infinite plate. Keeping in view the measure value of velocity and shear stress in the middle of the channel, being not affected due to the side walls, the required time to attain the steady-state and the distance between the sides wall are calculated graphically.