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有水平流时双流体混合物对流的时空演变
引用本文:李国栋,黄永念. 有水平流时双流体混合物对流的时空演变[J]. 力学进展, 2004, 34(2): 263-269. DOI: 10.6052/1000-0992-2004-2-J2003-005
作者姓名:李国栋  黄永念
作者单位:北京大学力学与工程科学系,湍流与复杂系统研究国家重点实验室,北京,100871;北京大学力学与工程科学系,湍流与复杂系统研究国家重点实验室,北京,100871
基金项目:国家重点基础研究专项经费(G20000773),中国博士后科学基金
摘    要:在水平流动作用下混合流体(比如水和酒精)的Rayleigh-Benard对流,由于外部强制力和内在行波传播的耦合,构成了研究开流系统中斑图选择和非线性耗散波的理想模型系统,本文介绍对该系统初步的研究成果.首先简述了线性稳定性分析以及水平流对行波非线性分岔特性的影响,然后主要给出我们对这一系统在有限空间非周期边界条件下一维行波对流的研究成果,包括存在的时空形态及其特性对Rayleigh数和槽道长度的依赖关系,最后给出了进一步工作的展望. 

关 键 词:双流体混合物  行波对流  水平流  时空演化

SPATIOTEMPORAL EVOLUTION IN BINARY FLUID MIXTURE CONVECTION WITH THROUGH-FLOW
LI Guodong,HUANG Yongnian. SPATIOTEMPORAL EVOLUTION IN BINARY FLUID MIXTURE CONVECTION WITH THROUGH-FLOW[J]. Advances in Mechanics, 2004, 34(2): 263-269. DOI: 10.6052/1000-0992-2004-2-J2003-005
Authors:LI Guodong  HUANG Yongnian
Affiliation:LI Guodong,HUANG Yongnian Department of Mechanics & Engineering Science,State Key Laboratory for Studies of Turbulence and Complex Systems,Peking University Beijing 100871,China
Abstract:Reylaigh-Benard convection in binary fluid mixtures with through-flow provides a particularly ofuseful model for the study of pattern formation and nonlinear dissipative waves in open flow systems. Inthis paper we will introduce some preliminary research results for this system. First, we present briefly thelinear stability analysis and discuss the influence of through-flow on the nonlinear bifurcation of spatial uniformpatterns. Then, we focus on our results about the traveling-wave convection of this system in limited spaceswith non-periodic boundary conditions, including existing spatiotemporal states and the dependence of theirproperties on Rayleigh number and the aspect rations of the channel. In the end, some further studies for thissystem are outlined.
Keywords:traveling-wave convection  binary fluid mixture  through-flow  spatiotemporal evolution  
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