Rayleigh-Benard对流是研究非平衡对流的时空结构及非线性动力学特性的典型模型之一。本文通过对二维流体力学基本方程组的数值模拟，采用流体力学FLUENT计算软件，在封闭渠槽内以长高比＝10为例，分别对普朗特数Pr=1的气体和Pr=6.99的水的两种流体进行了对流模拟计算，分别得到了两种纯流体在不同瑞利数R下对流的温度场和流速场。并且发现在R的某个范围内存在不同波数的对流流场结构，说明了定常流动解的不唯一性，存在着分歧解。
Abstract
The Rayleigh-Benard convection is one of typical models for studying the patterns and nonlinear dynamics of non-equilibrium convection. In this paper,the hydrodynamic equations were sloved by using software FLUENT, By using a two-dimensional numerical simulation of the hydrodynamic equations, Spatio-temporal structure of Rayleigh-Benard convection in a rectangular channel with ＝10 at Prandtl number Pr=1 and Pr=6.99 were studied, the convection flow field with different wave numbers is founded in a certain range of R.?The bifurcation with two different Prandtl number is studied for stationary overturning convection.
关键词
Rayleigh-Benard 对流 /
Prandtl 数 /
数值模拟 /
分歧.
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Key words
Rayleigh-Benard convection /
Prandtl number /
numerical simulation /
bifurcation
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参考文献
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