侧向加热腔体中的多圈型对流斑图

宁利中; 张珂; 宁碧波; 吴昊; 田伟利

doi:10.21656/1000-0887.400165

侧向加热腔体中的多圈型对流斑图

doi: 10.21656/1000-0887.400165

¹西安理工大学水利水电学院, 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

基金项目: 国家自然科学基金(10872164)

详细信息

作者简介:
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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- 被引次数: 0
出版历程
- 收稿日期: 2019-05-09
- 修回日期: 2019-05-24
- 刊出日期: 2020-03-01

Multi-Roll Type Convection Patterns in Cavities Heated Laterally

¹Faculty of Water Resources and Hydroelectric Engineering, 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: 基于流体力学方程组的数值模拟，研究了倾角θ=90°时侧向加热的大高宽比腔体中的对流斑图.对于Prandtl数Pr=6.99的流体，在相对Rayleigh数2≤Ra_r≤25的范围内，腔体中发生的是单圈型对流斑图.对于Pr=0.027 2的流体，取Ra_r=13.9，随着计算时间的发展，腔体中由最初的单圈型对流斑图过渡到多圈型对流斑图，这是出现在侧向加热大高宽比腔体中的新型对流斑图.对不同Ra_r情况的计算结果表明，Ra_r对对流斑图的形成存在明显的影响.当Ra_r≤4.4时是单圈型对流滚动；当Ra_r=8.9~11.1时是过渡状态；当Ra_r≥13.9时是多圈型对流滚动.对流最大振幅和Nusselt数Nu随着相对Rayleigh数的增加而增加.该对流斑图与Pr=6.99时对流斑图的比较说明，对流斑图的形成依赖于Prandtl数.
- 单圈型 /
- 多圈型 /
- 对流斑图 /
- 侧向加热腔体
Abstract: The numerical simulation was carried out based on the hydrodynamic equations, and the convection patterns in cavities with large aspect ratios heated laterally at inclined angle θ=90° were studied. For the fluid with Prandtl number Pr=6.99 in the range of reduced Rayleigh number 2≤Ra_r≤ 25, a singleroll type convection pattern occurs in the cavity. For the fluid with Pr=0.027 2 and Ra_r=13.9, with the development of calculation time, the convection pattern in the cavity transforms from the original singleroll type to the multi-roll type, which is a new type of convection pattern pertinent to large-aspect-ratio cavities heated laterally. The calculation results for different Ra_r values show that,Ra_r has a significant effect on the formation of convection patterns. A single-roll type convection pattern occurs for Ra_r≤4.4; for Ra_r=8.9~11.1, the system is in a transitional state; and a multi-roll type convection pattern appears for Ra_r≥13.9. The maximum convection amplitude and Nusselt number Nu increase with Ra_r.The comparison with the convection pattern for Pr=6.99 shows that the formation of the convection pattern depends on Pr.
- single-roll type /
- multi-roll type /
- convection pattern /
- cavity heated laterally

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