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A sharp nonlinear stability threshold in rotating porous convection

Straughan, B.

Authors

B. Straughan



Abstract

A nonlinear stability analysis is performed for the Darcy equations of thermal convection in a fluid-saturated porous medium when the medium is rotating about an axis orthogonal to the layer in the direction of gravity. A best possible result is established in that we show that the global nonlinear stability Rayleigh number is exactly the same as that for linear instability. It is important to realize that the nonlinear stability boundary holds unconditionally, i.e. for all initial data, and thus for the rotating porous convection problem governed by the Darcy equations, subcritical instabilities are not possible.

Citation

Straughan, B. (2001). A sharp nonlinear stability threshold in rotating porous convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 457(2005), 87-93. https://doi.org/10.1098/rspa.2000.0657

Journal Article Type Article
Publication Date Jan 8, 2001
Deposit Date Apr 24, 2007
Journal Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Print ISSN 1364-5021
Electronic ISSN 1471-2946
Publisher The Royal Society
Peer Reviewed Peer Reviewed
Volume 457
Issue 2005
Pages 87-93
DOI https://doi.org/10.1098/rspa.2000.0657
Keywords Rotating porous convection, Darcy equations, Coriolis effect.