Exact solutions are obtained for the heat transfer in an electrically
conducting fluid past a stretching sheet subjected to the thermal boun
dary with either a prescribed temperature or a prescribed heat flux in
the presence of a transverse magnetic field. The solutions for the he
at transfer characteristics are evaluated numerically for different pa
rameters, such as the magnetic parameter N, the Prandtl number Pr, the
surface temperature index s, and the surface heat flux index d. It is
observed that for the prescribed surface temperature case the fluid t
emperature increases due to the existance of the magnetic field, and d
ecreases as the Prandtl number or the surface temperature index increa
ses; for the prescribed surface heat flux case, the surface temperatur
e decreases as the Prandtl number or the surface heat flux index incre
ases, and the magnetic parameter decreases. In addition, varying the p
rescribed surface temperature index s affects the mechanism of heat tr
ansfer.