NUMERICAL TREATMENT OF NON-DARCIAN EFFECT ON PULSATILE MHD POWER-LAW FLUID FLOW WITH HEAT TRANSFER IN A POROUS MEDIUM BETWEEN TWO ROTATING CYLINDERS

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Mokhtar A. Abd Elnaby,Nabil T.M. Eldabe,Hanaa A. Asfour,

Non-Darcain effect,Fluid flow ,Heat transfer,Rotating calender.,

The problem of unsteady magneto hydrodynamic flow with heat transfer of a non-Newtonian fluid obeying power low fluid in a porous medium between two coaxial cylinders is investigated when the inner cylinder is at rest and the outer cylinder rotates with constant velocity, taking into account pulsation the pressure gradient and Darcy dissipation term. A Rung-Kutta-Merson method and a Newtown Iteration in a shooting and matching technique are used to obtain the solution of the system Equations of the problem. The velocity and temperature distributions are obtained as a perturbation technique. During this work we calculate an estimation of the global error by using Zadunaisky technique. The effects of behaviour index, Reynolds number, steady state part of the pressure gradient, the amplitude of the oscillatory part, the magnetic parameter, the permeability parameter, Forschheimer number, Prandtl number, Eckert number on the velocity and temperature distributions of Newtown and non- Newtown fluid are evaluated and depicted graphically.

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