Rayleigh-Benard convection in rotating fluids

被引：15
|
作者：
Tagare, S. G. [1 ]
Babu, A. Benerji [2 ]
Rameshwar, Y. [2 ]
机构：
[1] Univ Addis Ababa, Dept Math, Addis Ababa, Ethiopia
[2] Osmania Univ, Dept Math, Hyderabad 500007, Andhra Pradesh, India
来源：
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2008年 / 51卷 / 5-6期
关键词：
stationary and oscillatory convection; Coriolis force; bifurcation points; Landau-Ginzburg equation; travelling and standing wave convection;
D O I：
10.1016/j.ijheatmasstransfer.2007.03.052
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
Linear and weakly nonlinear properties of Rayleigh-Benard convection in rotating fluids are investigated. Linear stability analysis is studied to investigate analytically the effect of Coriolis force on gravity-driven convection for idealised stress-free boundary conditions. We have derived a nonlinear one-dimensional Landau-Ginzburg equation with real coefficients near the onset of stationary convection at the supercritical pitchfork bifurcation. A coupled Landau-Ginzburg type equations with complex coefficients near the onset of oscillatory convection at the supercritical Hopf bifurcation are derived and discussed the stability regions of travelling and standing waves. (C) 2007 Published by Elsevier Ltd.
引用
收藏
页码：1168 / 1178
页数：11
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