侧壁效应对Rayleigh-Bénard对流影响的数值模拟研究

刘苗苗; 王启; 万振华; 孙德军

doi:10.7638/kqdlxxb-2021.0320

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侧壁效应对Rayleigh-Bénard对流影响的数值模拟研究

专栏——热湍流 | 更新时间：2026-05-28

- 侧壁效应对Rayleigh-Bénard对流影响的数值模拟研究
- Effect of sidewall thermal conductivity on Rayleigh-Bénard convection: a numerical study
- 空气动力学学报 2022年40卷第2期页码：165-173
- 作者机构：
  
  中国科学技术大学近代力学系,合肥,230027
- 作者简介：
  
  刘苗苗（1993-），女，河北人，硕士研究生，研究方向：湍流热对流. E-mail：chuqiu@mail.ustc.edu.cn
  万振华*（1986-），男，安徽人，副教授，研究方向：气动噪声、流动稳定性和湍流. E-mail：wanzh@ustc.edu.cn
- 基金信息：
  
  国家自然科学基金（11621202）
- DOI：10.7638/kqdlxxb-2021.0320
  中图分类号： V211.3
- 纸质出版：2022
- 稿件说明：
移动端阅览
刘苗苗, 王启, 万振华, 等. 侧壁效应对Rayleigh-Bénard对流影响的数值模拟研究[J]. 空气动力学学报, 2022, 40(2): 165−173.

LIU Miaomiao, WANG Qi, WAN Zhenhua, et al. Effect of sidewall thermal conductivity on Rayleigh-Bénard convection: a numerical study[J]. 2022, 40(2): 165-173.
刘苗苗, 王启, 万振华, 等. 侧壁效应对Rayleigh-Bénard对流影响的数值模拟研究[J]. 空气动力学学报, 2022, 40(2): 165−173. DOI： 10.7638/kqdlxxb-2021.0320

LIU Miaomiao, WANG Qi, WAN Zhenhua, et al. Effect of sidewall thermal conductivity on Rayleigh-Bénard convection: a numerical study[J]. 2022, 40(2): 165-173. DOI： 10.7638/kqdlxxb-2021.0320.

摘要

Rayleigh-Bénard（RB）对流的研究中通常使用侧壁绝热的温度边界条件，然而实际的对流换热设备中侧壁存在导热性且会对系统传热和流动特性产生影响。为探究侧壁导热性对RB对流的影响，本文采用侧壁等温假设，即侧壁温度为上下壁面温度的平均值，使用二维和三维直接数值模拟的方法研究了侧壁恒温的RB对流。流体工质为普朗特数

= 5.3的水，二维和三维方腔宽高比

为1。将侧壁等温的计算结果与经典的侧壁绝热的RB对流结果进行比较，研究表明：侧壁等温时，二维和三维系统中均存在上下壁面

不相等的情形，该特性发生在有限的

值区间内，且与系统内的流动结构密切相关；侧壁恒温时，系统的传热效率要高于侧壁绝热情况下的传热效率，这是由于侧壁恒温条件下，一部分热量可以直接通过侧壁来传递，从而绕开温度边界层。当采用恒温边界条件时，流场的强度减弱，从而系统的

要小于侧壁绝热条件下对应的

。

Abstract

In the study of Rayleigh-Bénard (RB) convection

it is usually assumed that sidewalls are adiabatic. However

this is not always the case in real heat exchangers. Consequently

the flow structures and heat transfer will be inevitably affected by non-adiabatic walls. The effect of the thermal conductivity of sidewalls on RB convection is investigated by two- and three-dimensional direct numerical simulations with the sidewall temperature being set to the mean of the top and bottom temperatures. The working fluid is water with the Prandtl number

= 5.3 a

nd the aspect ratio

of the simulation box is fixed to

= 1. The results are further compared with those of traditional RB convection with adiabatic sidewalls. It is found that in a certain range of the Rayleigh number

the Nusselt numbers

of the top and bottom plates are not equal

which is closely related to the flow structures. The global heat transport is higher for the isothermal sidewall case than that of the adiabatic sidewall case. This is because

in the former case

part of the heat can be transferred directly through sidewalls instead of being absorbed by the thermal boundary layer. For the isothermal sidewall case

the global Reynolds number is smaller than that of the adiabatic sidewall case due to lower turbulence insensity.

关键词

Keywords

references

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