Journal of the Nigerian Association of Mathematical Physics

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Influence of Variable Fluid Properties and Radiative Heat loss on Magnetohydrodynamic Forced Convection Flow in a Fluid Saturated Porous Medium

KS Adegbie, AI Fagbade


The present study addresses the problem of MDH forced convection flow in a fluid saturated porous medium with non-Darcy model, which is an important physical phenomenon in engineering applications. The study extends the previous models to account for effects of variable fluid properties in the presence of radiative heat loss. The dynamic viscosity and thermal conductivity are assumed to vary linearly respectively, with temperature whereas the contribution of thermal radiative heat loss is based on Rosseland approximation. The problem is reduced to a system of coupled non-linear partial differential equations and thereafter non-local similarity method is used to transform the problem, which is solved numerically using fourth order Runge-Kutta method in conjunction with shooting techniques. Parametric studies are performed to investigate significant effects of the flow control parameters on the fluid velocity and temperature respectively. Consequently, comparative analysis is also performed on the wall shear stress and local heat transfer of the present study with the available results.The results show that the inclusion variable viscosity and thermal conductivity, and radiative heat loss mechanism cause significant effects on the fluid flow velocity, temperature, wall shear stress and local heat transfer.

Keywords: Forced convection; Magnetohydrodynamic; variable viscosity and thermal conductivity; radiation; saturated porous medium; local non-similarity method

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