Numerical Solution Of Compressible Fluid
Flow In Porous Media With Boundary
Element Method
Author(s)
R. Jecl, L. Škerget & J. Kramer
Abstract
In the present work a fully developed boundary element method numerical
scheme is presented for the simulation of compressible fluid flow in porous
media with restriction to the subsonic flows. The flow is modeled by utilizing the
Brinkman extended Darcy momentum equation which is commonly used when it
is important to satisfy the non-slip boundary condition on impermeable surfaces
that bound the porous media domain. The governing equations are transformed
by using the velocity–vorticity variables formulation and therefore the
computation scheme is partitioned into kinematic and kinetic part. The method is
applied to consider buoyancy driven flow in closed porous cavity, differentially
heated under large temperature gradients. The results in terms of velocity and
temperature redistribution as well as the total heat transfer across the cavity will
be 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. In this
work, the boundary element method, which has been established for the viscous
incompressible fluid motion [1], is modified and extended to capture the
compressible fluid state with restriction to the subsonic flows. That means that
Keywords
porous media, compressible fluid flow, boundary domain integral
method, boundary element method, natural convection.
Related Book
Other papers in this volume
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