水平来流对扰动成长和对流周期性的影响

发布时间：2018-02-07 10:14

  本文关键词： Rayleigh-Benard对流 成长率 时空斑图 周期性　出处：《应用数学和力学》2017年10期 　论文类型：期刊论文

【摘要】：对Pr=0.027 2的纯流体在矩形腔体外加水平来流时,进行二维流体力学基本方程组的数值模拟.研究了该纯流体Rayleigh-Benard对流的一维行波斑图的成长及时空的演化.发现对流成长过程可以划分为3个阶段,即对流发展、对流指数成长和周期变化.在对流指数成长阶段对不同相对Rayleigh(瑞利)数Rar的最大垂直流速场随时间变化的情况进行分析,获得了最大垂直流速场指数成长阶段的线性成长率γm和相对Rayleigh数Rar的关系公式.研究了行波周期受水平来流Reynolds(雷诺)数的影响,揭示了行波对流周期性及其对水平来流Reynolds数的依赖性.
[Abstract]:When the pure fluid of Pr=0.027 _ 2 flows horizontally in a rectangular cavity, The numerical simulation of the basic equations of two-dimensional hydrodynamics is carried out. The growth of the one-dimensional traveling wave pattern and the evolution of the spacetime of the Rayleigh-Benard convection are studied. It is found that the convection growth process can be divided into three stages, that is, the convection development. Convection exponent growth and periodic variation. The variation of the maximum vertical velocity field with time at different relative Rayleigh (Rayleigh) numbers Rar is analyzed during the convection exponential growth stage. The relationship between the linear growth rate 纬 m and the relative Rayleigh number Rar in the exponential growth stage of the maximum vertical velocity field is obtained. The effect of the traveling wave period on the horizontal flow Reynolds number is studied. The periodicity of traveling wave convection and its dependence on the Reynolds number of horizontal flow are revealed.
【作者单位】： 西安理工大学西北旱区生态水利工程国家重点实验室培育基地;嘉兴学院建筑工程学院;上海大学建筑系;
【基金】：国家自然科学基金(10872164) 陕西省重点学科建设专项资金资助项目(00X901)~~
【分类号】：O35
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