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An analytical computation of the problem of nonlinear magneto-hydrodynamic flow with heat transfer characteristics is considered for an incompressible viscous, electrically conducting fluid past a vertical plate with transverse magnetic field applied normal to the surface. The dimensionless transient nonlinear governing boundary layer flow equations which are coupled partial differential equations are obtained. These are transformed to ordinary differential equations and solved using the Laplace transform method. The effect of the resulting parameters are analysed and compared with existing results in literature.

Transient Laminar MHD Free Convective Heat Transfer past a Vertical Plate with Heat Generation