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Weakly nonlinear convection in a porous layer with multiple horizontal partitions
journal contribution
posted on 2023-05-18, 15:48 authored by Rees, DAS, Andrew BassomAndrew Bassom, Genc, GWe 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.
History
Publication title
Transport in Porous MediaVolume
103Pagination
437-448ISSN
0169-3913Department/School
School of Natural SciencesPublisher
Kluwer Academic PublPlace of publication
Van Godewijckstraat 30, Dordrecht, Netherlands, 3311 GzRights statement
Copyright 2014 Springer Science+Business Media DordrechtRepository Status
- Restricted