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Influence of Magnetic Field and Thermal Radiation on Steady Free Convective Flow in a Porous Medium
Abstract
This paper investigated the influence of magnetic field and thermal radiation on steady free convective flow embedded in a porous medium with Soret effects. The governing equations are systems of nonlinear partial differential equations. Similarity variables were introduced on the set of governing equations and it was transformed into set of coupled nonlinear ordinary differential equations. The transformed coupled nonlinear ordinary differential equations are solved using the Spectral Homotopy Analysis Method (SHAM). Influence of pertinent flow parameters is displayed in figures and table. Comparisons were done with existing problems/models in literature and our results were in good agreement. The results revealed that as the magnetic parameter increased the velocity profile was found to decrease as a result of the magnetic field applied in the direction of the flow but negligible or has no effect on the velocity distribution. The results shows that increase in the suction/injection velocity and Magnetic field parameter enrich the temperature and concentration.
KEYWORDS: Buoyancy; Free Convective Flow; Magnetic Field; Porous Medium; Soret; Suction/Injection.