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 (ε=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°).
Highlights
Natural convection in a fluid saturated porous medium occurs in a wide variety of applications such as heat exchangers, solar power collectors, grain storage, energy efficient drying process, etc
The results show that both the magnetic force and the inclination angle have significant effect on the flow field and heat transfer in porous medium
In this work we present a numerical study of laminar natural convection in a porous inclined square enclosure
Summary
Natural convection in a fluid saturated porous medium occurs in a wide variety of applications such as heat exchangers, solar power collectors, grain storage, energy efficient drying process, etc. The Darcy equation including Brinkman-Forchheimer terms to account for viscous and inertia effects, is used for momentum equation. Wang et al.[3] analyzed numerically natural convection of fluid in an inclined enclosure filled with porous medium in a strong magnetic field. Darcy-Forchheimer model without the inertia term is used to simulate the momentum transfer in the enclosure. In this work we present a numerical study of laminar natural convection in a porous inclined square enclosure. This last is filled with air and submitted to horizontal temperature gradient. Darcy equation including Brinkman-Forchheimer terms is considered to account viscous and inertia effects. The rate of heat transfer in the enclosure is measured in terms of the average Nusselt number
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