Unsteady Magnetohydrodynamic Couette-Poiseuille Flow within Porous Plates

What is it about?

A study on the effects of Hall current, ion-slip and permeability on unsteady Magnetohydrodynamic Couette-Poiseuille flow within porous plates filled with porous medium in the presence of a moving uniform transverse magnetic field which is fixed relative to the moving porous plate is carried out. Flow within the channel is generated due to accelerated movement of the lower plate of the channel along x-axis and by an applied constant pressure gradient acting along x-axis. An exact solution of the governing equations is found by Laplace transform method. Numerical values of analytical solution for fluid velocity and that of shear stress at the moving porous plate of the channel are depicted for various values of pertinent flow parameters. It is noticed from the numerical result that, for the pure fluid regime, suction tends to enhance fluid velocity in the primary flow direction whereas injection has reverse effect on it. For the small permeable regime, suction tends to enhance fluid velocity in the primary flow direction in the upper half of the channel whereas injection has reverse effect on it.

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