Tipping points in Cattaneo-Christov thermohaline convection

Straughan, B

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.
• Public URL: https://durham-repository.worktribe.com/output/1532530