In this paper, the magnetic field effects on non-Newtonian power-law fluids
for heat transfer over a stretching flat sheet in the presence of heat generation
are studied numerically. The governing continuity, momentum, and energy
equations are converted into a system of non-linear ordinary differential
equations by means of similarity transformation. The resulting system of
coupled non-linear ordinary differential equations is solved numerically.
Numerical results were presented for velocity and temperature profiles for
different parameters of the problem as the power-law fluid index, magnetic
field parameter, temperature buoyancy parameter, Prandtl parameter, heat
source parameter, stretching parameter and temperature exponent parameter
and other. Also the effects of the pertinent parameters on the skin friction and
the rate of heat are obtained and discussed numerically and illustrated
graphically.