## 留言板

 引用本文: 宁利中, 宁碧波, 胡彪, 田伟利. 具有水平流动的对流斑图成长和动力学特性[J]. 应用数学和力学, 2020, 41(10): 1146-1156.
NING Lizhong, NING Bibo, HU Biao, TIAN Weili. Growth and Dynamics of Convection Patterns With Horizontal Flow[J]. Applied Mathematics and Mechanics, 2020, 41(10): 1146-1156. doi: 10.21656/1000-0887.410104
 Citation: NING Lizhong, NING Bibo, HU Biao, TIAN Weili. Growth and Dynamics of Convection Patterns With Horizontal Flow[J]. Applied Mathematics and Mechanics, 2020, 41(10): 1146-1156.

• 中图分类号: O357

## Growth and Dynamics of Convection Patterns With Horizontal Flow

Funds: The National Natural Science Foundation of China(10872164)
• 摘要: 采用二维流体力学基本方程组对Prandtl数Pr=0.72具有水平流动的对流斑图成长和动力学特性进行了数值模拟.结果说明，对于给定的相对Rayleigh数Rar=5(Rayleigh数Ra=8 540)和Reynolds数Re=22.5，行波对流斑图的成长分为三个阶段，即对流发展阶段、指数成长阶段、周期变化阶段（过渡调整区、稳定周期变化区）.行波对流的平均波数随着时间的发展或者对流斑图的成长而减小.随着相对Rayleigh数的增加，行波对流的指数成长阶段的时间变短，对流最大垂直流速的成长率变大.对于水平流动Re=5时，对流最大垂直流速的成长率γm与Rar的关系为γm=0.004 8Ra6.065 3r.在周期变化阶段，经过行波对流斑图和对流参数的过渡调整区后，对流进入斑图和对流参数的稳定周期变化区.对于给定的Rar=5时，行波对流的无量纲周期Tt随着Re变化的关系式为Tt=0.001 4Re2.363 5.
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##### 出版历程
• 收稿日期:  2020-04-10
• 修回日期:  2020-05-25
• 刊出日期:  2020-10-01

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