Comparison between the Forcheimer and the Brinkman model for convective flow in porous cavity with boundary domain integral method

Authors: Renata JECL, Leopold ŠKERGET, Janja KRAMER
Citation: Acta hydrotechnica, vol. 23, no. 38, pp. 1-17, 2005.
Abstract: The use of the Forcheimer model for analyzing the convective flow in a porous cavity is represented, emphasizing the investigation of the effect of the additional (Forcheimer) inertia term in momentum equation on the velocity and global heat transfer through the cavity. The effects that this term has upon the engineering parameters of interest for the case of a fluid saturated media, are known to be minimal, however, this has not been confirmed yet with the use of the boundary element method (BEM) or any of its extensions. Therefore the numerical solution of the problem of natural convection in porous cavity using the boundary domain integral method (BDIM) is presented, where the velocities and the total heat transfer are calculated for different modified Rayleigh and Darcy numbers and the solutions are compared with published results obtained with the Brinkman model.
Keywords: Forcheimer model, boundary domain integral method, porous medium, natural convection
Full text: a38rj.pdf