水平来流对扰动成长和对流周期性的影响

胡彪; 宁利中; 宁碧波; 田伟利; 吴昊; 宁景昊

doi:10.21656/1000-0887.370314

水平来流对扰动成长和对流周期性的影响

doi: 10.21656/1000-0887.370314

¹清华大学核能与新能源技术研究院, 北京 100084;²中国石油天然气股份有限公司新疆油田工程技术研究院, 新疆克拉玛依 834000;³清华大学航天航空学院, 北京 100084

基金项目: 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)

详细信息

作者简介:
胡彪（1989—），男，硕士生(E-mail: 848716986@qq.com);宁利中（1961—），男，教授，博士（通讯作者. E-mail: ninglz@xaut.edu.cn）.

中图分类号: O357
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出版历程
- 收稿日期: 2016-10-17
- 修回日期: 2016-12-01
- 刊出日期: 2017-10-15

Effects of Horizontal Flow on Perturbation Growth and Convection Periodicity

¹State Key Laboratory Base of Ecohydraulic Engineering in Arid Area,Xi’an University of Technology, Xi’an 710048, P.R.China;²College of Civil Engineering and Architecture, Jiaxing University, Jiaxing, Zhejiang 314001, P.R.China;³Department of Architecture, Shanghai University, Shanghai 200444, P.R.China

Funds: The National Natural Science Foundation of China(10872164)

摘要

摘要: 对Pr=0.0272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Ra_r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γ_m和相对Rayleigh数Ra_r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.
- Rayleigh-Benard对流 /
- 成长率 /
- 时空斑图 /
- 周期性
Abstract: Numerical simulation of the 2D fully hydrodynamic equations for the pure fluid in a rectangular channel with horizontal flow for Prandtl number Pr=0.0272 was conducted. Growth and spatiotemporal evolution of the 1D traveling wave patterns in the RayleighBenard convection of the pure fluid were investigated. It is found that the convective growth process can be divided into 3 stages: the development stage, the exponential growth stage and the periodic variation stage. Through analysis on the variation of the maximum vertical velocity field with time for different relative Rayleigh numbers Ra_r in the exponential growth stage, a formula of variation of linear growth rate γ_m was obtained with respect to Ra_r. Furthermore, the traveling wave convection periodicity and its dependence on the horizontal flow Reynolds number were revealed.
- Rayleigh-Benard convection /
- growth rate /
- spatiotemporal pattern /
- periodicity

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参考文献(21)

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