Tipping points in Cattaneo-Christov thermohaline convection

被引：28
|
作者：
Straughan, B. [1 ]
机构：
[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2011年 / 467卷 / 2125期
关键词：
tipping points; porous convection; thermohaline convection; Cattaneo-Christov theory; NONCLASSICAL HEAT-CONDUCTION; DIPOLAR FLUID; TEMPERATURE; SUSPENSIONS; WAVES; MODEL;
D O I：
10.1098/rspa.2010.0104
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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 Falcon. 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.
引用
收藏
页码：7 / 18
页数：12
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