Abstract

STEADY STATE SOLUTION OF MAGNETOHYDRODYNAMICS (MHD) FREE CONVECTION HEAT AND MASS TRANSFER IN AN ANNULUS WITH CONVECTIVE BOUNDARY CONDITIONS OF MIXED KIND

Isah Bala Yabo and Muhammad Murtala Hamza

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The problem considered is the steady flow of an electrically conducting, incompressible fluid, in the annular space between two infinitely long circular cylinders, under a radially impressed magnetic field with convective boundary conditions of mixed kind. The general Magnetohydrodynamics equations are simplified by the conditions of the problem to two equations in velocity and temperature. The Rosseland approximation is applied to describe the radiative heat flux in the energy equation where the magnetic field is incorporated in the momentum equation. Due to nonlinearity of the model in the presence of radiative parameter, the solution of the differential equation that described the flow was solved using Perturbation method. The velocity, the temperature, Skin friction and Nusselt number are obtained and their behaviors are discussed with help of line graph. The results obtained show that the flow is significantly been influence by the fluid flow parameters. Keywords: Magnetohydrodynamics, Steady state, heat transfer, Annulus, convective boundary conditions.

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