Numerical Analysis of the Effect of Selected Geometrical Parameters and Fluid Properties on MHD Natural Convection Flow in an Inclined Elliptic Porus Enclosure with Localized Heating
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Date
2017
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Journal ISSN
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Publisher
Willey Periodicals
Abstract
Magnetohydrodynamic (MHD) natural convection flow and associated heat
convection in an oriented elliptic enclosure has been investigated with numerical
simulations. A magnetic field was applied to the cylindrical wall of the configuration,
the top and bottom walls of the enclosure were circumferentially cooled and
heated, respectively, while the extreme ends along the cross-section of the elliptic
duct were considered adiabatic. The full governing equations in terms of continuity,
momentum, and energy transport were transformed into nondimensional form
and solved numerically using finite difference method adopting Gauss–Seidel iteration
technique. The selected geometrical parameters and flow properties considered
for the study were eccentricity (0, 0.2, 0.4, 0.6, and 0.8), angle of inclination (0°,
30°, 60°, and 90°), Hartmann number (0, 25, and 50), Grashof number (104, 105,
and 106), and Darcy number (10−3, 10−4, and 10−5). The Prandtl number was held
constant at 0.7. Numerical results were presented by velocity distributions as well
as heat transfer characteristics in terms of local and average Nusselt numbers (i.e.,
rate of heat transfer). The optimum heat transfer rate was attained at e value of 0.8.
Also, the heat transfer rate increased significantly between the angles of inclination
58° and 90°. In addition, Hartmann number increased with decreased heat transfer
rate and flow circulation. A strong flow circulation (in terms of velocity distribution)
was observed with increased Grashof and Darcy numbers. The combination of the
geometric and fluid properties therefore can be used to regulate the circulation and
heat transfer characteristics of the flow in the enclosure.
Description
Keywords
MHD, natural convection, inclined elliptic enclosure, porous media, localized heating