SPATIOTEMPORAL EVOLUTION IN BINARY FLUID MIXTURE CONVECTION WITH THROUGH-FLOW
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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.Abstract: Reylaigh-Benard convection in binary fluid mixtures withthrough-flow provides a particular of useful model for the study of patternformation and nonlinear dissipative waves in open flow systems. In thispaper we will introduce some preliminary research results for thissystem. First, wepresent briefly the linear stability analysis and discuss the influence ofthrough-flow on the nonlinear bifurcation of spatial uniform patterns. Then,we focus on our results about the traveling-wave convection of this systemin limited spaces with non-periodic boundary conditions, including existingspatiotemporal states and the dependence of their properties on Rayleighnumber and the aspect rations of the channel. Instead, somefurther studies for this system are outlined.
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