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A numerical investigation is performed to study the effect of
thermal radiation on magnetohydrodynamic (MHD) free convection flow along a
vertical flat plate in presence of variable thermal conductivity in this paper.
The governing equations of the flow and the boundary conditions are transformed
into dimensionless form using appropriate similarity transformations and then
solved employing the implicit finite difference method with Keller-box scheme.
Results for the details of the velocity profiles, temperature distributions as
well as the skin friction, the rate of heat transfer and surface temperature
distributions are shown graphically. Results reveal that the thermal radiation
is more significant in MHD natural convection flow during thermal conductivity
effect is considered. To illustrate the accuracy of the present results, the
results for the local skin fraction and surface temperature distribution
excluding the extension effects are compared with results of Merkin and Pop
designed for the fixed value of Prandtl number and a good agreement were found.