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Tipping points in Cattaneo-Christov thermohaline convection.

Straughan, B. (2011) 'Tipping points in Cattaneo-Christov thermohaline convection.', Proceedings of the Royal Society series A : mathematical, physical and engineering sciences., 467 (2125). pp. 7-18.

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.

Item Type:Article
Keywords:Tipping points, Porous convection, Thermohaline convection, Cattaneo–Christov theory.
Full text:Full text not available from this repository.
Publisher Web site:http://dx.doi.org/10.1098/rspa.2010.0104
Record Created:30 Mar 2012 13:05
Last Modified:26 Sep 2012 12:21

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