**ABSTRACT**

This paper deals with the effects of heat transfer on unsteady MHD boundary layer flow of a chemically reading fluid past a vertical plate in the presence of thermal radiation and viscous dissipation. The governing equations of the problem under investigation are systems of partial differential equations. These equations are namely: continuity equation, linear momentum equation and energy equation. These systems of equations were non-dimentionalized by introducing non-dimensional variables. We resulted to dimensionless systems of partial differential equations. The fluid considered in this paper are optically thick, however we employ the Roseland model. Simulations were done numerically on all controlling parameters and the results generated were displayed in graphs and tables. Results review that thermal Grashof number intensifies the velocity profile and increase in Prandtl number leads to decrease in both the velocity and temperature field. Increasing thermal radiation intensifies the velocity and temperature profile. Thermal radiation speeds up the convection flow and thermal boundary layer of the fluid. Increase in magnetic parameter reduces the velocity profile as a result of the applied transverse magnetic field.

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