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Weakly nonlinear convection in a porous layer with multiple horizontal partitions

Citation

Rees, DAS and Bassom, AP and Genc, G, Weakly nonlinear convection in a porous layer with multiple horizontal partitions, Transport in Porous Media, 103, (3) pp. 437-448. ISSN 0169-3913 (2014) [Refereed Article]

Copyright Statement

Copyright 2014 Springer Science+Business Media Dordrecht

DOI: doi:10.1007/s11242-014-0310-y

Abstract

We consider convection in a horizontally uniform fluid-saturated porous layer which is heated from below and which is split into a number of identical sublayers by impermeable and infinitesimally thin horizontal partitions. Rees and Genç (Int J Heat Mass Transfer 54:3081–3089, 2010) determined the onset criterion by means of a detailed analytical and numerical study of the corresponding dispersion relation and showed that this layered system behaves like the single-sublayer constant-heat-flux Darcy–Bénard problem when the number of sublayers becomes large. The aim of the present work is to use a weakly nonlinear analysis to determine whether the layered system also shares the property of the single-sublayer constant-heat-flux Darcy–Bénard problem by having square cells, as opposed to rolls, as the preferred planform for convection.

Item Details

Item Type:Refereed Article
Keywords:porous media, layered medium, convection, weakly nonlinear theory, pattern selection
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105751
Year Published:2014
Deposited By:Mathematics and Physics
Deposited On:2016-01-14
Last Modified:2016-07-06
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