Analytical studies for the problem of flow and heat transfer of an electrically conducting
non-Newtonian power-law fluid with low electrical conductivity on a continuously
moving infinite porous plate in the presence of viscous dissipation and a
uniform transverse magnetic field have been presented. It is found that steady solutions
for dimensionless velocity exist only for a fluid in which its power-law index
n satisfies 0.5 < n < 1 with suction at the plate. The problem is also solved numerically
by using the shooting method. The results show a good agreement between the
analytical and the numerical results. The influences of the magnetic parameter, suction
parameter, the power-law index, and the Prandtl number on the velocity and
temperature profiles are studied. Also the effects of the various parameters on the
skin-friction coefficient and the rate of heat transfer at the surface are discussed
and displayed in tables.