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混合流体Rayleigh-Benard对流的多重稳定性现象
引用本文:宁利中,齐昕,余荔,周洋,王思怡,李国栋.混合流体Rayleigh-Benard对流的多重稳定性现象[J].应用基础与工程科学学报,2010,18(2):281-290.
作者姓名:宁利中  齐昕  余荔  周洋  王思怡  李国栋
作者单位:1. 西安理工大学水利水电学院,陕西,西安,710048
2. 西安理工大学水利水电学院,陕西,西安,710048;重庆水利电力职业技术学院,重庆,402160
3. 西安理工大学水利水电学院,陕西,西安,710048;广西电力工业勘察设计研究院,广西,南宁,530023
基金项目:国家自然科学基金,陕西省重点学科建设专项资金,教育部留学回国人员基金,陕西省教育厅专项计划,西安理工大学科研基金项目资助 
摘    要:通过流体力学基本方程组的数值模拟,初步探讨了矩形腔体内具有Soret效应的混合流体Rayleigh—Benard对流系统中斑图(Pattern)选择的多重稳定性(Muhistability)现象.包括有间歇性缺陷的行波和缺陷源水平运动的对传波(Counterpropagating wave)的多重稳定性现象,不同波数的摆动(Undulation)行波的多重稳定性现象,行波和摆动行波的多重稳定性现象等.对由沿着r增加或r减小方向计算引起的斑图转化过程的滞后(Hysteresis)现象也进行了分析.结果说明混合流体Rayleigh—Benard对流系统中的滞后现象和多重稳定性现象是存在的.

关 键 词:Rayleigh-Benard对流  多重稳定性  滞后现象  数值模拟  混合流体  Soret效应

Multistability of Rayleigh-Benard Convection in A Binary Fluid Mixture
Abstract:By using the numerical simulations of the two-dimensional full equations of hydrodynamics, the phenomena of multistability in pattern selection of the Rayleigh-Benard convection in a binary fluid mixture with Soret effect in a rectangular cell were preliminarily studied. The phenomena include the multistability of the traveling wave with intermittent defects and the counterpropagating wave with a horizontal motion of defects, the multistability of the undulation traveling wave with different wavenumbers, and the multistability of the traveling wave and the undulation traveling wave. The hysteretic phenomena in the pattern transition caused by simulations along different direction of increasing r or decreasing r were also analyzed. The results showed that the phenomena of multistability and hysteresis existed in Rayleigh-Benard convection in a binary fluid mixture.
Keywords:Rayleigh-Benard convection  multistability  hysteresis  numerical simulation  binary fluid mixture  Soret effect
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