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Effects of radius ratio on annular centrifugal Rayleigh–Bénard convection

Published online by Cambridge University Press:  10 November 2021

Dongpu Wang Open the ORCID record for Dongpu Wang [Opens in a new window] ,
Hechuan Jiang Open the ORCID record for Hechuan Jiang [Opens in a new window] ,
Shuang Liu Open the ORCID record for Shuang Liu [Opens in a new window] ,
Xiaojue Zhu Open the ORCID record for Xiaojue Zhu [Opens in a new window]  and
Chao Sun Open the ORCID record for Chao Sun [Opens in a new window]
Dongpu Wang
Affiliation:
Center for Combustion Energy, Key Laboratory for Thermal Science and Power Engineering of MoE, and Department of Thermal Engineering, Tsinghua University, Beijing 100084, PR China
Hechuan Jiang*
Affiliation:
Center for Combustion Energy, Key Laboratory for Thermal Science and Power Engineering of MoE, and Department of Thermal Engineering, Tsinghua University, Beijing 100084, PR China Huaneng Clean Energy Research Institute, Beijing 102209, PR China
Shuang Liu
Affiliation:
Center for Combustion Energy, Key Laboratory for Thermal Science and Power Engineering of MoE, and Department of Thermal Engineering, Tsinghua University, Beijing 100084, PR China Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, PR China
Xiaojue Zhu
Affiliation:
Max Planck Institute for Solar System Research, Justus-von-Liebig-Weg 3, Göttingen 37077, Germany
Chao Sun*
Affiliation:
Center for Combustion Energy, Key Laboratory for Thermal Science and Power Engineering of MoE, and Department of Thermal Engineering, Tsinghua University, Beijing 100084, PR China Department of Engineering Mechanics, School of Aerospace Engineering, Tsinghua University, Beijing 100084, PR China
*
†Email addresses for correspondence: jhcthu@foxmail.com, chaosun@tsinghua.edu.cn
†Email addresses for correspondence: jhcthu@foxmail.com, chaosun@tsinghua.edu.cn
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Abstract

We report on a three-dimensional direct numerical simulation study of flow structure and heat transport in the annular centrifugal Rayleigh–Bénard convection (ACRBC) system, with cold inner and hot outer cylinders corotating axially, for the Rayleigh number range $Ra \in [{10^6},{10^8}]$ and radius ratio range $\eta = {R_i}/{R_o} \in [0.3,0.9]$ ($R_i$ and $R_o$ are the radius of the inner and outer cylinders, respectively). This study focuses on the dependence of flow dynamics, heat transport and asymmetric mean temperature fields on the radius ratio $\eta$. For the inverse Rossby number $Ro^{-1} = 1$, as the Coriolis force balances inertial force, the flow is in the inertial regime. The mechanisms of zonal flow revolving in the prograde direction in this regime are attributed to the asymmetric movements of plumes and the different curvatures of the cylinders. The number of roll pairs is smaller than the circular roll hypothesis as the convection rolls are probably elongated by zonal flow. The physical mechanism of zonal flow is verified by the dependence of the drift frequency of the large-scale circulation (LSC) rolls and the space- and time-averaged azimuthal velocity on $\eta$. The larger $\eta$ is, the weaker the zonal flow becomes. We show that the heat transport efficiency increases with $\eta$. It is also found that the bulk temperature deviates from the arithmetic mean temperature and the deviation increases as $\eta$ decreases. This effect can be explained by a simple model that accounts for the curvature effects and the radially dependent centrifugal force in ACRBC.

JFM classification

Turbulent Flows: Turbulent convection Turbulent Flows: Turbulence simulation Turbulent Flows: Rotating turbulence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 930 , 10 January 2022 , A19
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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Wang et al. supplementary movie 1

The movie shows the time series (total 100t) of the temperature fields on a \phi-r-plane for radius ratio η = 0.3 at Ra = 10^7

Download Wang et al. supplementary movie 1(Video)
Video 7.6 MB

Wang et al. supplementary movie 2

The movie shows the time series (total 100t) of the temperature fields on a \phi-r-plane for radius ratio η = 0.6 at Ra = 10^7

Download Wang et al. supplementary movie 2(Video)
Video 9.7 MB

Wang et al supplementary movie 3

The movie shows the time series (total 100t) of the temperature fields on a \phi-r-plane for radius ratio η = 0.9 at Ra = 10^7
Download Wang et al supplementary movie 3(Video)
Video 7.6 MB