MHD FLOW OVER A NONLINEARLY EXTENDING SURFACE ENTRENCHED IN A POROUS MEDIUM UNDER NONLINEAR RADIATION

The prime objective of this paper is to investigate the steady, laminar, two dimensional hydromagnetic flows with heat transfer of an incompressible, viscous and electrically conducting fluid over a surface extending with a power-law velocity, entrenched in a porous medium under nonlinear radiation in the presence of a variable magnetic field. The radiative heat flux term is taken to be nonlinear using Rosseland diffusion approximation in general which is valid for small and large temperature difference the plate and the ambient fluid. Governing nonlinear partial differential equations are transformed to nonlinear ordinary differential equations by utilizing suitable similarity transformation. The resulting nonlinear ordinary differential equations for momentum and energy under linear and nonlinear radiation effects are solved numerically employing appropriate numerical schemes. The flow and thermal field sketches are found out and tabulated for various values of controlling factors involved in the problem. The non-dimensional rate of heat transfer and skin friction are also attained for diverse underlying factors and presented graphically.