大<i>Pr</i>数湍流热对流大尺度环流形态变化特性

包芸; 何建超; 方明卫

doi:10.7638/kqdlxxb-2021.0335

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大Pr数湍流热对流大尺度环流形态变化特性

专栏——热湍流 | 更新时间：2026-05-28

- 大Pr数湍流热对流大尺度环流形态变化特性
- Large scale circulation transition in thermal convection with large Prandtl number
- 空气动力学学报 2022年40卷第2期页码：174-181
- 作者机构：
  
  中山大学航空航天学院,深圳,518107
- 作者简介：
  
  包芸*（1960-），博士，教授，主要研究方向：CFD，热对流. E-mail：stsby@mail.sysu.edu.cn
- 基金信息：
  
  国家自然科学基金（11772362）
- DOI：10.7638/kqdlxxb-2021.0335
  中图分类号： O357.5+3
- 纸质出版：2022
- 稿件说明：
移动端阅览
包芸, 何建超, 方明卫. 大Pr数湍流热对流大尺度环流形态变化特性[J]. 空气动力学学报, 2022, 40(2): 174−181.

BAO Yun, HE Jianchao, FANG Mingwei. Large scale circulation transition in thermal convection with large Prandtl number[J]. 2022, 40(2): 174-181.
包芸, 何建超, 方明卫. 大Pr数湍流热对流大尺度环流形态变化特性[J]. 空气动力学学报, 2022, 40(2): 174−181. DOI： 10.7638/kqdlxxb-2021.0335

BAO Yun, HE Jianchao, FANG Mingwei. Large scale circulation transition in thermal convection with large Prandtl number[J]. 2022, 40(2): 174-181. DOI： 10.7638/kqdlxxb-2021.0335.

摘要

大尺度环流是湍流热对流的重要特征之一，为了研究大尺度环流形态的变化特征，本文在大Prandtl数（

）下，较大的Rayleigh数（

）范围内对热对流的流动形态进行研究。采用直接数值模拟（DNS）计算二维湍流热对流，对大

= 10、20的热对流大尺度环流形态进行研究，

范围是1×10

～1×10

，同时与

= 4.3情况进行了对比分析。结果表明：大

数的热对流大尺度环流存在三种形态，方形、椭圆形和圆形，小

数只有椭圆形和圆形两种；方形的最大速度点在侧壁附近，椭圆形大尺度环流的最大速度点在椭圆与角涡的相剪切处，圆形的最大速度点随机出现在大尺度环流周长线上；方形到椭圆形的转变是一种渐变，存在过渡点，而椭圆形到圆形是突变；大尺度环流的长短轴之比，方形时在1.0～1.2之间，椭圆形时在1.2以上，而圆形时基本为1；大尺度环流形态变化影响Reynolds数（

）的变化规律：补偿

数变化规律显示，大尺度环流形态由方形渐变为椭圆形时，

数出现小量下降，过渡点出现极小值，由椭圆形突变为圆形时，

数出现间断式大幅下降。

Abstract

We report a numerical study of large scale circulation (LSC) in two-dimensional turbulent thermal convection with two Prandtl numbers (

= 10

20) and Rayleigh number (

) ranging from 1×10

to 1×10

. To compared with small

some results at

= 4.3 are shown in this article. Three patterns of LSC are found at large Prandtl numbers

i.e. square

ellipse and circle

while only the

latter two patterns are found at small Prandtl numbers

italic/>. For the classical elliptical LSC

the positions of maximum velocity always appear between the LSC and the corner rolls

and the positions appear randomly in the LSC for the circular LSC. Whereas

the maximum velocities appear near the sidewalls for the square LSC. The LSC transition from square to ellipse is a gradual change while the transition from ellipse to circle is a drastic change. The ratio between the major axis and the minor axis of LSC is 1.0～1.2 for square

greater than 1.2 for ellipse

but near 1.0 for circle. The relationship between Reynolds number (

) and

is influenced by the transition of LSC

which can be indicated by the compensated

. The compensated

decreases slightly and then reaches a local minimum when the LSC changes from square to ellipse

while it decreases sharply from ellipse to circle.

关键词

Keywords

references

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大Pr数湍流热对流大尺度环流形态变化特性

Large scale circulation transition in thermal convection with large Prandtl number

DOI：10.7638/kqdlxxb-2021.0335

摘要

Abstract

关键词

Keywords

references