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Direct numerical simulation of Taylor–Couette flow with vertical asymmetric rough walls

Published online by Cambridge University Press:  16 November 2023

Fan Xu ,
Jinghong Su ,
Bin Lan ,
Peng Zhao ,
Yurong He ,
Chao Sun Open the ORCID record for Chao Sun [Opens in a new window]  and
Junwu Wang Open the ORCID record for Junwu Wang [Opens in a new window]
Fan Xu
Affiliation:
School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, PR China State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, P. O. Box 353, Beijing 100190, PR China
Jinghong Su
Affiliation:
Center for Combustion Energy, Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, PR China Department of Engineering Mechanics, School of Aerospace Engineering, Tsinghua University, Beijing 100084, PR China
Bin Lan
Affiliation:
School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, PR China State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, P. O. Box 353, Beijing 100190, PR China
Peng Zhao
Affiliation:
State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, P. O. Box 353, Beijing 100190, PR China School of Chemical Engineering, University of Chinese Academy of Sciences, Beijing 100049, PR China
Yurong He*
Affiliation:
School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, PR China
Chao Sun*
Affiliation:
Center for Combustion Energy, Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, PR China Department of Engineering Mechanics, School of Aerospace Engineering, Tsinghua University, Beijing 100084, PR China
Junwu Wang*
Affiliation:
State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, P. O. Box 353, Beijing 100190, PR China School of Chemical Engineering, University of Chinese Academy of Sciences, Beijing 100049, PR China Innovation Academy for Green Manufacture, Chinese Academy of Sciences, Beijing 100190, PR China
*
†Email addresses for correspondence: rong@hit.edu.cn, chaosun@tsinghua.edu.cn, jwwang@ipe.ac.cn
†Email addresses for correspondence: rong@hit.edu.cn, chaosun@tsinghua.edu.cn, jwwang@ipe.ac.cn
†Email addresses for correspondence: rong@hit.edu.cn, chaosun@tsinghua.edu.cn, jwwang@ipe.ac.cn
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Abstract

Direct numerical simulations are performed to explore the effects of the rotating direction of the vertically asymmetric rough wall on the transport properties of Taylor–Couette (TC) flow, up to a Taylor number of ${Ta} = 2.39\times 10^{7}$. It is shown that, compared with the smooth wall, the rough wall with vertical asymmetric strips can enhance the dimensionless torque ${Nu}_{\omega }$. More importantly, at high Ta, clockwise rotation of the inner rough wall (where the fluid is sheared by the steeper slope side of the strips) results in a significantly greater torque enhancement compared to counter-clockwise rotation (where the fluid is sheared by the smaller slope side of the strips), due to the larger convective contribution to the angular velocity flux. However, the rotating direction has a negligible effect on the torque at low Ta. The larger torque enhancement caused by the clockwise rotation of the vertically asymmetric rough wall at high Ta is then explained by the stronger coupling between the rough wall and the bulk, attributed to the larger biased azimuthal velocity towards the rough wall at the mid-gap of the TC system, the increased turbulence intensity manifested by larger Reynolds stress and a thinner boundary layer, and the more significant contribution of the pressure force on the surface of the rough wall to the torque.

JFM classification

Turbulent Flows: Turbulent convection Instability: Shear-flow instability
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 975 , 25 November 2023 , A30
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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