Natural Convection in Inclined Porous Square Enclosure
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Date
2018-12-10
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University of Eloued جامعة الوادي
Abstract
Steady, laminar, natural convection flow in porous
square enclosure with inclination angle is considered. The
enclosure is filled with air and subjected to horizontal
temperature gradient. Darcy-Brinkman-Forchheimer model is
considered. Finite volume method is used to solve the
dimensionless governing equations. The physical problem
depends on five parameters: Rayleigh number (Ra =103-106),
Prandtl number (Pr=0.71), Darcy number (Da=0.01), inclination
angle φ=(0°-227°), porosity of the medium (ɛ=0.7) and the
aspect ratio of the enclosure (A=1). The main focus of the study
is on examining the effect of Rayleigh number on fluid flow and
heat transfer rates. The effect of inclination angle is also
considered. The results including streamlines, isotherm patterns,
flow velocity and the average Nusselt number for different values
of Ra and φ. The obtained results show that the increase of Ra
leads to enhance heat transfer rate. The fluid particles move with
greater velocity for higher thermal Rayleigh number. Also φ
affects the fluid motion and heat transfer in the enclosure.
Velocity and heat transfer are more important when φ takes the
value (30°).
Description
International Symposium on Mechatronics and Renewable Energies El-Oued 10- 11 December 2018
Keywords
natural convection, porous medium, inclination angle, Darcy-Brinkman-Forchheimer model