Three-dimensional numerical modeling of free convection in sloping porous enclosures

Guerrero Martinez, F. J., Younger, P. L. and Karimi, N. (2016) Three-dimensional numerical modeling of free convection in sloping porous enclosures. International Journal of Heat and Mass Transfer, 98, pp. 257-267. (doi:10.1016/j.ijheatmasstransfer.2016.03.029)

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Abstract

Three-dimensional (3D) numerical simulations are carried out to study steady state free convection in a sloping porous enclosure heated from below. The model is based on Darcy's law and the Boussinesq approximation. Two different approaches to solve this problem are compared: primitive variables and vector potential. Although both numerical models lead to equivalent results in terms of the Nusselt number and convective modes, the vector potential model proved to be less mesh-dependent and also a faster algorithm. A parametric study of the problem considering Rayleigh number, slope angle and aspect ratio showed that convective modes with irregular 3D geometries can develop in a wide variety of situations, including horizontal porous enclosure at relatively low Rayleigh numbers. The convective modes that have been described in previous 2D studies (multicellular and single cell) are also present in the 3D case. Nonetheless the results presented here show that the transition between these convective modes follows an irregular 3D geometry characterized by the interaction of transverse and longitudinal coils.

Item Type:Articles
Keywords:3D numerical modelling, porous medium, free convection, Boussinesq approximation.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Karimi, Dr Nader and Guerrero Martinez, Mr Fernando Javier and Younger, Professor Paul
Authors: Guerrero Martinez, F. J., Younger, P. L., and Karimi, N.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:International Journal of Heat and Mass Transfer
Publisher:Elsevier
ISSN:0017-9310
ISSN (Online):1879-2189
Published Online:25 March 2016
Copyright Holders:Copyright © 2016 Elsevier
First Published:First published in International Journal of Heat and Mass Transfer 98:257-267
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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