Three-dimensional Natural Convection In A
Porous Cavity By The Boundary Element Method
Author(s)
R. Jecl, J. Kramer, J. Ravnik & L. ˇSkerget
Abstract
A thee-dimensional numerical simulation of convective flow in porous media
using an algorithm based on a combination of a single domain and a subdomain
boundary element method (BEM) is presented. The fluid flow in porous media is
modeled with the modified Navier-Stokes equations (Brinkman-extended Darcy
formulation with inertial term included) coupled with the energy and species
equations using the Boussinesq approximation. The velocity-vorticity formulation
is adopted to solve the governing set of equations, which results in decoupling
of the computational scheme into the kinematic and kinetic computational parts.
The boundary vorticity values are calculated by a single domain BEM solution of
the kinematics equation, while the subdomain BEM is used to solve the vorticity,
energy and species transport equations. Computations are performed for various
governing parameters (Rayleigh number, Darcy number, Lewis number, buoyancy
coefficient) and, simulation results are compared to the results of some published
studies. Heat and mass flux through the cavity and flow fields are analyzed,
focusing on the 3D nature of the phenomena.
Keywords: boundary element method, porous medium, three-dimensional natural
convection, Brinkman-extended Darcy formulation.
1 Introduction
Problems of convective flow in saturated porous media can be found in a wide
variety of engineering and natural applications, e.g. building thermal insulation,
extraction of geothermal energy, heat exchangers, contaminant transport through
water saturated soil. Most of the published studies, which are dealing with
buoyancy induced flows in porous enclosures, are limited on the cases of two
Keywords
boundary element method, porous medium, three-dimensional natural
convection, Brinkman-extended Darcy formulation
Related Book
Other papers in this volume
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