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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

应用数学和力学2017,Vol.38Issue(10):1103-1111,9.
应用数学和力学2017,Vol.38Issue(10):1103-1111,9.DOI:10.21656/1000-0887.370314

水平来流对扰动成长和对流周期性的影响

Effects of Horizontal Flow on Perturbation Growth and Convection Periodicity

胡彪 1宁利中 1宁碧波 2田伟利 3吴昊 1宁景昊1

作者信息

  • 1. 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,西安710048
  • 2. 嘉兴学院 建筑工程学院,浙江 嘉兴314001
  • 3. 上海大学 建筑系,上海200444
  • 折叠

摘要

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 convec-tion of the pure fluid were investigated. It is found that the convective growth process can be di-vided into 3 stages:the development stage, the exponential growth stage and the periodic varia-tion stage. Through analysis on the variation of the maximum vertical velocity field with time for different relative Rayleigh numbers Rar in the exponential growth stage, a formula of variation of linear growth rateγm was obtained with respect to Rar . Furthermore, the traveling wave con-vection periodicity and its dependence on the horizontal flow Reynolds number were revealed.

关键词

Rayleigh-Benard对流/成长率/时空斑图/周期性

Key words

Rayleigh-Benard convection/growth rate/spatiotemporal pattern/periodicity

分类

数理科学

引用本文复制引用

胡彪,宁利中,宁碧波,田伟利,吴昊,宁景昊..水平来流对扰动成长和对流周期性的影响[J].应用数学和力学,2017,38(10):1103-1111,9.

基金项目

国家自然科学基金(10872164) (10872164)

陕西省重点学科建设专项资金资助项目(00X901) The National Natural Science Foundation of China(10872164) (00X901)

应用数学和力学

OA北大核心CSCDCSTPCD

1000-0887

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