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We study effects of both magnetic field and radiation on unsteady freeconvective magnetohydrodynamic (MHD) flow under the influence of heat and masstransfer. An implicit finite difference scheme of Crank-Nicolson method is usedto analyze the results. The governing boundary layer equations along with theinitial and boundary conditions are casted into a dimensionless form whichresults in a more precise solution. We determine the change in velocity underthe influence of radiation and magnetic field with temperature andconcentration taken into account. A code is constructed (FORTRAN 6.5) to obtainpredictions following from the numerical solution which have been compared withthe existing information in the literature, and a very good agreement isobtained. The results obtained through this study will be helpful in theprediction of flow and heat transfer in the presence of magnetic field andradiation.

Finite difference solution of radiation on unsteady free convective magnetohydrodynamic flow past a vertical cylinder with heat and mass transfer