Effect of viscous dissipation and heat source on unsteady boundary layer flow and heat transfer past a stretching surface embedded in a porous medium using element free Galerkin method

Abstract The present paper deals with the study of unsteady heat transfer characteristics of viscous fluid flow over a stretching sheet placed in a porous medium in the presence of viscous dissipation and internal heat absorption or generation have been examined. A uniform magnetic field is applied transversely to the direction of the flow. Similarity transformations are used to convert the governing time dependent nonlinear boundary layer equations into a system of non-linear ordinary differential equations which are solved numerically by element free Galerkin method . The influence of suction parameter ( λ ), unsteady parameter ( S ), Eckert number (Ec), local porous parameter ( β ) and heat source/sink parameter ( Q ) on the velocity and temperature profiles are shown graphically. The impact of physical parameters on skin friction coefficient and wall temperature gradient is shown in tabulated form. Some of the results have been compared with finite element method . Finally, excellent validation of the present numerical results has been achieved with the earlier steady state results of Grubka and Bobba and Chen for local Nusselt number Nu x Re x - 1 / 2 = - θ ′ ( 0 ) for forced convection flow on linearly stretching surface.

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