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Controlling flow reversal in two-dimensional Rayleigh–Bénard convection

Published online by Cambridge University Press:  25 March 2020

Shengqi Zhang Open the ORCID record for Shengqi Zhang [Opens in a new window] ,
Zhenhua Xia Open the ORCID record for Zhenhua Xia [Opens in a new window] ,
Quan Zhou Open the ORCID record for Quan Zhou [Opens in a new window]  and
Shiyi Chen
Shengqi Zhang
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing 100871, PR China
Zhenhua Xia*
Affiliation:
Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, PR China
Quan Zhou
Affiliation:
Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200072, PR China
Shiyi Chen*
Affiliation:
State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing 100871, PR China Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, PR China
*
†Email addresses for correspondence: [email protected], [email protected]
†Email addresses for correspondence: [email protected], [email protected]
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Abstract

In this paper, we report that reversals of large-scale circulation in two-dimensional Rayleigh–Bénard convection could be suppressed or enhanced by imposing local constant-temperature control on sidewalls. When the control area is away from the centre of the sidewalls, the control can successfully eliminate the flow reversal if the size of the control region is large enough. With a proper location, the width can be as small as 1 % of the system size. When the control region is located around the centre, the control may enhance the flow reversal. It may also stimulate the occurrence of a double-roll mode when the control is located in the centre. Explanations are also discussed based on the twofold effects of the control region on the nearby plumes and the concept of symmetry. The present work provides a new way to control the flow reversals in Rayleigh–Bénard convection through modifying sidewall boundary conditions.

JFM classification

Turbulent Flows: Turbulent convection
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 891 , 25 May 2020 , R4
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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Zhang et al. supplementary movie 1

Left: Temperature contours and velocity vectors of the whole domain; Right: Contours of temperature and $F^b_x$ in $[0.1,0.5]\times[-0.45,-0.05]$ at $Ra=5\times 10^7, Pr=2$ without sidewall control.
Download Zhang et al. supplementary movie 1(Video)
Video 13.2 MB

Zhang et al. supplementary movie 2

Left: Temperature contours and velocity vectors of the whole domain; Right: Contours of temperature and $F^b_x$ in $[0.1,0.5]\times[-0.45,-0.05]$ at $Ra=5\times 10^7, Pr=2$ with $h_c=0.2$ and $\delta_c=0.02$.
Download Zhang et al. supplementary movie 2(Video)
Video 8.9 MB

Zhang et al. supplementary movie 3

Left: Temperature contours and velocity vectors of the whole domain; Right: Contours of temperature and $F^b_x$ in $[0.1,0.5]\times[-0.45,-0.05]$ at $Ra=5\times 10^7, Pr=2$ with $h_c=0.2$ and $\delta_c=0.06$.
Download Zhang et al. supplementary movie 3(Video)
Video 11 MB

Zhang et al. supplementary movie 4

Left: Temperature contours and velocity vectors of the whole domain; Right: Contours of temperature and $F^b_x$ in $[0.1,0.5]\times[-0.45,-0.05]$ at $Ra=5\times 10^7, Pr=2$ with $h_c=0.4$ and $\delta_c=0.06$.
Download Zhang et al. supplementary movie 4(Video)
Video 11.5 MB

Zhang et al. supplementary movie 5

Left: Temperature contours and velocity vectors of the whole domain; Right: Contours of temperature and $F^b_x$ in $[0.1,0.5]\times[-0.2,0.2]$ at $Ra=5\times 10^7, Pr=6$ with $h_c=0.0$ and $\delta_c=0.06$.
Download Zhang et al. supplementary movie 5(Video)
Video 12.2 MB