Nonsimilar solution of the unsteady laminar incompressible magneto-hydrodyn
amic boundary layer flow and heat transfer for an electrically conducting f
luid over two-dimensional and axisymmetric bodies in the presence of an app
lied magnetic field has been obtained. The effects of surface mass transfer
, Joule heating and viscous dissipation are included in the analysis. Numer
ical computation have been carried out for the flow over a circular cylinde
r and a sphere using an implicit finite difference scheme in combination wi
th a quasi-linearization technique. It is observed that magnetic field and
suction cause the location of vanishing skin friction to move downstream wh
ile, the effect of injection is just the opposite. The effect of magnetic F
ield on the skin friction is more pronounced as compared to its effect on t
he heat transfer. On the other hand, the heat transfer is strongly affected
by the viscous dissipation and the effect is more for large times. However
, heat transfer responds comparatively less to the fluctuations of the free
stream than the skin friction.