Effect of thermal radiation and heat generation on MHD flow past a uniformly heated vertical plate

Abstract

In this paper, the effect of heat generation and radiation parameters on MHD flow along a uniformly heated vertical flat plate in the presence of a magnetic field has been investigated numerically. The nonlinear partial differential equations, governing the problem under consideration for this analysis are transferred to simultaneous nonlinear ordinary differential equations of first order and those are further transformed into initial value problem by applying Multi-segment integration technique. Finally, solutions are obtained by integrating the initial value problem using fourth order Runge-Kutta integration scheme. Rosseland approximation is used to describe the radiative heat flux in the energy equation. Comparison with previously published work is performed and excellent agreement with the results is obtained. Numerical results for the details of the temperature profiles are shown graphically with the variation of the governing parameters considering in the present problem.