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Tipping points in Cattaneo-Christov thermohaline convection

Straughan, B

Authors

B Straughan



Abstract

A model is proposed for thermohaline convection when the heat flux satisfies a relaxation time law rather than the classical Fourier one. Here, we adopt the recent law due to Christov. That a Cattaneo-like law would be relevant in thermohaline convection in star evolution was proposed in 1995 by Herrera and Falcón. They do not develop a detailed model which we do here. We find that with the Cattaneo–Christov law, there is a transition curve (depending on the salt concentration) such that for Cattaneo numbers greater than this transition, the nature of convection changes dramatically.

Citation

Straughan, B. (2011). Tipping points in Cattaneo-Christov thermohaline convection. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 467(2125), 7-18. https://doi.org/10.1098/rspa.2010.0104

Journal Article Type Article
Publication Date Jan 8, 2011
Deposit Date Dec 22, 2011
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 467
Issue 2125
Pages 7-18
DOI https://doi.org/10.1098/rspa.2010.0104
Keywords Tipping points, Porous convection, Thermohaline convection, Cattaneo–Christov theory.

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