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The out-turn of heat generation and Joule heating on natural convection flow through a vertical flat plate have been investigated in the given article. Joule heating and heat conduction due to wall thickness 'b' are esteemed as well in this analysis. With the intent to obtain similarity solutions to the problem being constituted, the evolved equations are made dimensionless employing appropriate transformations. The non-dimensional equations are then modified into non-linear equations by bringing into being a non-similarity transformation. The out-turn non-linear alike equations confine with their commensurate boundary conditions formed on conduction and convection are solved numerically applying the finite difference method accompanied by Newton's linearization approximation. The numerical outcomes in terms of the skin friction coefficient, velocity, temperature, and surface temperature profiles are shown both graphically and in tabular forms for the different values of the parameters correlated with the problem.

This paper presents a new extension for the effect of Radiation on MHD Natural Convection Flow with Variable Viscosity from a Porous Vertical Plate. The governing boundary layer equations are first transformed into a non dimensional form and the resulting non linear system of partial differential equations are then solved numerically using finite difference method together with Keller-Box scheme. The numerical results show that the variable viscosity affects the surface shear stress and the rate of heat transfer which are here in terms of skin friction coefficient and local Nusselt number. It affects velocity as well as temperature profiles also. These are shown graphically and tabular form for a selection of parameters set of consisting of viscosity variation parameter , magnetohydrodynamic parameter M, radiation effect R d , Prandtl number Pr.

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