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混合流体Rayleigh-Benard对流的多重稳定性现象

Multistability of Rayleigh-Benard Convection in A Binary Fluid Mixture

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【作者】 宁利中齐昕余荔周洋王思怡李国栋

【Author】 NING Lizhong1,QI Xin1,2,YU Li1,3,ZHOU Yang1,WANY Siyi1,LI Guodong1(1.Institute of Water Resources and Hydro-electric Engineering,Xi’an University of Technology,Xi’an 710048,China;2.Chongqing Water Resources and Electric Engineering College,Chongqing 402160,China;3.Guangxi Electric Power Industry Investigation Design and Reseach Institute,Nanning 530023,China)

【机构】 西安理工大学水利水电学院重庆水利电力职业技术学院广西电力工业勘察设计研究院

【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(Multistability)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.

【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.

【基金】 国家自然科学基金(10872164);陕西省重点学科建设专项资金;教育部留学回国人员基金(220542);陕西省教育厅专项计划(05JK271,09JK643);西安理工大学科研基金项目资助(210532)
  • 【文献出处】 应用基础与工程科学学报 ,Journal of Basic Science and Engineering , 编辑部邮箱 ,2010年02期
  • 【分类号】TQ021.1
  • 【被引频次】9
  • 【下载频次】198
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