The analytical examination of the effects of
velocity and temperature parameter variations and heat
source effects on Couette free convective flow was
studied on an electrically conducting optically thin,
viscous and incompressible fluid through a porous
medium with periodic wall temperature. The solutions
to the set of coupled ordinary differential equations
arising from the formulation of the problem were
obtained by method of undetermined coefficient.
Thereafter with realistic parameter values; the results
were displayed and discussed with plots.
Keywords : Free Convection, Magnetohydrodynamic, Heat Source, Periodic Wall Temperature.