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A comprehensive numerical study is conducted to investigate effect of melting on flow and heat transfer of incompressible viscous dusty fluid near two-dimensional stagnation-point flow over a stretching surface, in the presence of thermal radiation, non uniform heat source/sink and applied magnetic field. Using suitable transformations, the governing nonlinear partial differential equations are transformed in to a set of coupled nonlinear ordinary differential equations and then they are solved numerically. The influence of the various interesting parameters on the flow and heat transfer is analyzed and discussed through plotted graphs in detail. Comparison of the present results with existing results is shown and a good agreement is observed. We found that the velocity and temperature fields increase with an increase in the melting process of the stretching sheet.

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Background:The principle aim of the present investigation is to study the heat transfer analysis of steady two dimensional flow of conducting dusty fluid over a stretching cylinder immersed in a porous media under the influence of non-uniform source/sink. Methods: Governing partial differential equations are reduced into coupled non-linear ordinary differential equations using suitable similarity transformations. The resulting system of equations are then solved Numerically with efficient Runge Kutta Fehlberg-45 Method. Results: Graphical display of the obtained numerical solution is performed to illustrate the influence of various flow controlling parameters like curvature parameter, magnetic parameter, porous parameter, Prandtl number, heat source/sink parameter, fluid-particle interaction parameter on velocity and temperature distributions of both fluid and dust phases. The numerical results for the skin-friction coefficient and Nusselt number are also presented. Finally, the obtained numerical solutions are compared and found to be in good agreement with previously published results under special cases. Conclusion:The velocity within the boundary layer in the case of cylinder is larger than the flat surface and both the magnitude of the skin friction coefficient and heat transfer rate at the surface are higher for cylinder when compared to that of flat plate.