Numerical Investigation Of Heat And Mass Transfer In Porous Medium Fixed With Various Geometries
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Date
2006-11
Authors
BADRUDDIN MAGAMI, IRFAN ANJUM
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Abstract
The effort to understand the heat and fluid flow behavior inside the porous
medium has increased to many folds in the recent few decades. The intensified
research in porous medium has generally addressed many aspects of porous medium
resulting into enormous number of publications. In spite of the endeavoring effort, there
are many gaps left unanswered related to the heat and fluid flow behavior inside the
porous medium. The present study is undertaken to investigate the heat and mass
transfer in a porous medium and thus explore some of those unanswered areas. The
different phenomenon such as, heat transfer, heat and mass transfer, viscous
dissipation effect, the thermal non-equilibrium condition between fluid and solid phases
of the porous medium are investigated with respect to three basic geometries i.e.
porous medium adjacent to a vertical plate, porous medium enclosed in a cavity and
porous medium filled in vertical ann~lar cylinder. The combined effect of natural
convection and the radiation is investigated in all above mentioned phenomenon.
The rigorous in-depth analysis is carried out using FEM and the effect of
various non-dimensional parameters such as radiation parameter, Prandtl number,
modified Grashof number, permeability parameter, Rayleigh number, Lewis number,
Buoyancy ratio, viscous dissipation parameter, inter-phase heat transfer coefficient,
modified conductivity ratio, aspect ratio, radius ratio etc are discussed with respect to
the heat and mass transfer inside the porous medium.
In general, it was found that the effect of radiation is significant in the overall
heat transfer rate fwm the surface in all the three geometries being studied. It was
found that the non-equilibrium effect is considerably strong at small values of the interxx
phase heat transfer coefficient and the modified conductivity ratio. In case of vertical
plate the equilibrium state is reached at H = 1000 when y = 1 . However the equilibrium
state is reached at H = 100 as y is increased to 25. It was observed that the critical
value of the viscous dissipation parameter shifts to higher value when radiation
parameter is increased. In case of square cavity the Sherwood number increased by
6.28 times when Lewis number is varied trom 1 to 25. In annular porous medium, the
critical value of & is found to be 0.031 at R" = 0, However it shifted to 0.036 when R"
is increased to 1.
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Keywords
Numerical Investigation Of Heat And Mass Transfer , In Porous Medium Fixed With Various Geometries