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Linear and nonlinear convection in porous media between coaxial cylinders

Bringedal, Carina; Berre, Inga; Nordbotten, Jan Martin; Rees, D. Andrew S.
Peer reviewed, Journal article
Published version
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https://hdl.handle.net/1956/10901
Utgivelsesdato
2011
Metadata
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Samlinger
  • Department of Mathematics [799]
Originalversjon
https://doi.org/10.1063/1.3637642
Sammendrag
We uncover novel features of three-dimensional natural convection in porous media by investigating convection in an annular porous cavity contained between two vertical coaxial cylinders. The investigations are made using a linear stability analysis, together with high-order numerical simulations using pseudospectral methods to model the nonlinear regime. The onset of convection cells and their preferred planform are studied, and the stability of the modes with respect to different types of perturbation is investigated. We also examine how variations in the Rayleigh number affect the convection modes and their stability regimes. Compared with previously published data, we show how the problem inherits an increased complexity regarding which modes will be obtained. Some stable secondary modes or mixed modes have been identified and some overlapping stability regions for different convective modes are determined.
Utgiver
AIP
Tidsskrift
Physics of fluids
Opphavsrett
Copyright 2011 American Institute of Physics

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