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混合流体Rayleigh-Benard行波对流中的缺陷结构
引用本文:宁利中,齐昕,周洋,余荔.混合流体Rayleigh-Benard行波对流中的缺陷结构[J].物理学报,2009,58(4):2528-2534.
作者姓名:宁利中  齐昕  周洋  余荔
作者单位:(1)西安理工大学水利水电学院,西安 710048; (2)西安理工大学水利水电学院,西安 710048;重庆水利电力职业技术学院,重庆 402160
基金项目:国家自然科学基金(批准号:10872164)、教育部留学回国人员科研启动基金、陕西省教育厅科研基金(批准号:05JK271)和西安理工大学科研基金(批准号:210532)资助的课题.
摘    要:通过流体力学基本方程的数值模拟,研究了含有缺陷的行波对流的动力学特性. 当分离比Ψ=-06时,随着相对瑞利数r逐渐增加,系统由局部行波对流过渡到含有缺陷的行波对流,然后缺陷消失过渡到无缺陷的行波对流. 对于不同分离比的研究表明,缺陷出现的周期随着分离比减小而迅速增加,随着r增加而增加. 在负的小分离比时的增加速率大于大分离比时的增加速率. 缺陷存在区间Δr随着分离比绝对值减小很快变小, 并且当Ψ=-011时缺陷消失,没有发现含有缺陷的行波对流. 当r大于Δr的上限时,系统过渡到无缺陷的行波对流.可是,当r小于Δr的下限时,不同的分离比Ψ值,对应不同的行波对流斑图. 这说明分离比明显地影响着各斑图形成及它们之间的转换,斑图之间的转换是很复杂的. 关键词: Rayleigh-Benard对流 缺陷 混合流体 行波

关 键 词:Rayleigh-Benard对流  缺陷  混合流体  行波
收稿时间:2008-05-23

Defect structures of Rayleigh-Benard travelling wave convection in binary fluid mixtures
Ning Li-Zhong,Qi Xin,Zhou Yang,Yu Li.Defect structures of Rayleigh-Benard travelling wave convection in binary fluid mixtures[J].Acta Physica Sinica,2009,58(4):2528-2534.
Authors:Ning Li-Zhong  Qi Xin  Zhou Yang  Yu Li
Abstract:By using a two dimensional numerical simulation of the fully hydrodynamic equations, the dynamics of the traveling wave convection in binary fluid mixtures with defects was studied. For the separation ratio Ψ=-06, the system changes from localized traveling wave to traveling wave (TW) convection with the defects with increasing reduced Rayleigh number r. Then, the defects disappear and it changes to TW without defects with further increasing r. For different separation ratio Ψ, the periodicity of appearance of defects increases with reducing separation ratio and increasing r. The increase rate for a small negative separation ratio is larger than that for separation ratios. The range of existence of defects Δr remarkably decreases with the absolute value of Ψ. At Ψ=-011, the defects are annihilated and the TW with defects is not found. The system turns to the TW without defects from the TW with defects where r is larger than the upper limit of Δr. However, different values of Ψ correspond to different TW patterns when r is less than the lower limit of Δr. Therefore, it is obvious that the Ψ has influence on the pattern formation and on the transition between the patterns, and the transition between the patterns is also complex.
Keywords:Rayleigh-Benard convection  defect  binary fluid mixtures  traveling wave
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