Author(s)

R. Jecl, L. Škerget & J. Kramer

Abstract

BEM for compressible convection flow in porous media R. Jecl1, L. Škerget2 & J. Kramer1 1Faculty of Civil Engineering, University of Maribor, Slovenija 2Faculty of Mechanical Engineering, University of Maribor, Slovenija Abstract A boundary element method numerical scheme for simulation of compressible (density depended) fluid flow in porous media is presented. The fluid flow is modelled applying the Brinkman extended Darcy momentum equation, which is commonly used when it is important to satisfy the no-slip boundary condition on impermeable surfaces that bound the porous media domain. The model is applied to consider buoyancy driven flow in a closed porous cavity, differentially heated under large temperature gradients. The density is to be regarded as a dependent thermodynamic variable. The results in terms of velocity and temperature redistribution as well as the total heat transfer across the cavity are presented for different governing parameters. Keywords: porous media, compressible fluid flow, boundary domain integral method, boundary element method, natural convection. 1 Introduction Most of the studies dealing with transport phenomena in porous media are based on presuming the fluid is incompressible and viscous, where the mass density is a constant quantity the velocity does not depend on the mass density and pressure is simply a force in the linear momentum balance equation. However in numerous natural and engineering systems, density-dependent flow processes play an important role. Besides various applications in the dynamics of pure viscous fluids we find such phenomena also in subsurface hydrology, geophysics, reservoir mechanics, which are all the problems concerning a presence of a permeable solid-porous media. In this work, the boundary element method, which has been established for the viscous incompressible fluid motion

Keywords

porous media, compressible fluid flow, boundary domain integral method, boundary element method, natural convection.