湍流热对流系统中粗糙壁面对流动结构的影响

doi:10.12066/j.issn.1007-2861.2225

上海大学学报(自然科学版) ›› 2021, Vol. 27 ›› Issue (6): 1038-1046.doi: 10.12066/j.issn.1007-2861.2225

湍流热对流系统中粗糙壁面对流动结构的影响

阳建林¹^,², 张义招¹^,², 周全¹^,²()

1.上海大学力学与工程科学学院, 上海 200444
2.上海大学上海市应用数学和力学研究所, 上海 200072

收稿日期:2020-02-24 出版日期:2021-12-31 发布日期:2020-06-15
通讯作者: 周全 E-mail:qzhou@shu.edu.cn
作者简介:周全(1981—), 男, 教授, 博士生导师, 博士, 研究方向为湍流传热. E-mail: qzhou@shu.edu.cn
基金资助:
国家自然科学基金资助项目(11825204)

Effect of surface roughness on flow structures of turbulent Rayleigh-Bénard convection

YANG Jianlin¹^,², ZHANG Yizhao¹^,², ZHOU Quan¹^,²()

1. School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received:2020-02-24 Online:2021-12-31 Published:2020-06-15
Contact: ZHOU Quan E-mail:qzhou@shu.edu.cn

摘要/Abstract

摘要：

自然界中存在的热对流现象大部分都具有粗糙边界, 研究粗糙壁面 Rayleigh-Bénard(RB)湍流热对流对理解湍流传热和流动结构具有重要的理论价值和实际意义. 采用数值模拟的方法研究二维粗糙壁面对 RB 湍流热对流流动结构的影响, 主要参数 Rayleigh 数(Ra)和 Prandtl 数(Pr)分别为 10$^{7}\le $Ra$\le $10$^{9}$和 $Pr = 0.7$. 计算中采用的粗糙元形状为等腰直角三角形. 结果表明:粗糙元对大尺度环流的抑制作用与粗糙元对羽流的生成和二次涡的促进作用相互竞争, 导致 Reynolds 数(Re)变化复杂, Ra 数与 Re 数的标度律关系异常.

关键词: Rayleigh-Bénard, 湍流热对流, 粗糙, 流动结构, 雷诺数

Abstract:

Most thermal convection phenomena in nature have rough boundaries. Thus, the study of Rayleigh-Bénard (RB) turbulent thermal convection on rough surfaces is theoretically and practically significant in understanding turbulent heat transfer and flow structures. In this study, the effect of two-dimensional rough surfaces on flow structures of turbulent RB convection is investigated through numerical simulations. The main parameters, the Rayleigh number (Ra) and Prandtl number (Pr), were 10$^{7 }\le $ $Ra\le 10^{9}$ and $Pr = 0.7.$ An isosceles right-angle triangle of the rough element shape was used for calculations. The results showed that the inhibition of the rough element on the large-scale circulation and the enhancement of the rough element on the plume generation and secondary vortices led to the complexity of the Reynolds number (Re) variation and the abnormal scaling relationship between Ra and Re.

Key words: Rayleigh-Bénard, turbulent thermal convection, rough, flow structure, Reynolds number

中图分类号:

O357.5

阳建林, 张义招, 周全. 湍流热对流系统中粗糙壁面对流动结构的影响[J]. 上海大学学报(自然科学版), 2021, 27(6): 1038-1046.

YANG Jianlin, ZHANG Yizhao, ZHOU Quan. Effect of surface roughness on flow structures of turbulent Rayleigh-Bénard convection[J]. Journal of Shanghai University（Natural Science Edition）, 2021, 27(6): 1038-1046.

图/表 5

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湍流热对流系统中粗糙壁面对流动结构的影响

Effect of surface roughness on flow structures of turbulent Rayleigh-Bénard convection

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