Thermal convection with the Cattaneo-Christov model

被引：324
|
作者：
Straughan, B. [1 ]
机构：
[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England
来源：
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2010年 / 53卷 / 1-3期
关键词：
Thermal convection; Cattaneo theory of hear propagation; Christov heat flux equation; Oscillatory convection; NONCLASSICAL HEAT-CONDUCTION; DIPOLAR FLUID; 1ST PROBLEM; STOKES; 1ST; TEMPERATURE; STABILITY;
D O I：
10.1016/j.ijheatmasstransfer.2009.10.001
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
We consider the problem of thermal convection in a horizontal layer of incompressible Newtonian fluid with gravity acting downward. The constitutive equation for the heat flux is taken to be one of Cattaneo type. Since we are considering a fluid one has to be careful with the choice of objective derivative for the rate of change of the heat flux. Here we employ a recent model due to Professor C. Christov. The thermal relaxation effect is found to be significant if the Cattaneo number is sufficiently large, and the convection mechanism switches from stationary convection to oscillatory convection with narrower cells. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：95 / 98
页数：4
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