Abstract

SPECTRAL RELAXATION METHOD FOR SOLVING UNSTEADY MHD HEAT AND MASS TRANSFER FLOW PAST A SEMI-INFINITE VERTICAL PLATE

1Oke, M.O., 2Falodun, B.O., 3Obayomi, A.A. & 4Aderinto, Y.O.

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Abstract In this paper, we considered the influences of thermal radiation, viscous dissipation, heat generation, chemical reaction and soret. Non-dimensional quantities were used to dimensionalize the nonlinear, coupled partial differential equations governing the flow problem into dimensionless form of equations. We now solved the resulting problem numerically using the Spectral Relaxation Method (SRM). In the analysis, we considered an optically thick fluid and we thereby utilized the Rosseland approximation. The effects of each pertinent governing parameters on the flow regime were rigorously discussed quantitatively with the aid of graphs on the velocity field, temperature field and concentration field. Results revealed that an increase in the Eckert number intensified the temperature field whereas increase in radiation decreases the temperature field when the plate is cooled. Furthermore, an increase in the magnetic parameter decreases the velocity field but has negligible effect on the temperature and concentration profiles. Finally, the expressions for the skin-friction, Nusselt and Sherwood numbers were obtained in the research work. Keywords: Spectral Relaxation Method, Convection, Thermophoresis, Soret number, Rosseland Approximation.

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