Engineering Transactions, 56, 4, pp. 325–344, 2008

Heat and mass transfer in MHD flow by natural convection from a permeable surface with heat generation effects

Nuclear Physics Department Atomic Energy Authority, Nuclear Research Centre

The objectives of the present study are to investigate steady two-dimensional laminar flow
of a viscous incompressible, electrically conducting and heat-generating fluid, driven by a con-
tinuously moving porous plate immersed in a fluid-saturated porous medium, in the presence of
a transverse magnetic field. A uniform magnetic field acts perpendicularly to the porous surface
which absorbs fluid with a suction velocity. The non-linear partial differential equations gov-
erning the problem under consideration have been transformed by a similarity transformation
into a system of ordinary differential equations, which is solved numerically by applying a per-
turbation technique. The effects of material parameters on the velocity and temperature fields
across the boundary layer are investigated [28, 29]. A parametric study of all the governing
parameters is carried out and representative results are illustrated to reveal a typical tendency
of the solutions. Representative results are presented for the velocity temperature distributions
as well as the local friction coefficient and the local Nusselt number. Favorable comparisons
with the previously published work confirm the correctness of the numerical results.
Keywords: heat and mass transfer, magnetohydrodynamics, heat generation, porous media, numerical analysis
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