Laminar flow through porous channels with an applied magnetic field

Summary

The two-dimensional steady flow of an incompressible and electrically conducting viscous fluid through a porous channel with a transverse magnetic field is discussed. It is assumed that there is constant suction at one wall and constant blowing at the other wall. A perturbation solution is obtained where the perturbation parameter is equal to the difference between the two wall velocities. The behaviour of the solution for various suction Reynolds numbers and magnetic Reynolds number is considered. Finally, the skin friction at one wall is given and is found to increase with the increase of the magnetic field.