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Enhancing large-scale motions and turbulent transport in rotating plane Poiseuille flow

Published online by Cambridge University Press:  22 January 2024

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]  and
Shiyi Chen
Shengqi Zhang
Affiliation:
Eastern Institute for Advanced Study, Eastern Institute of Technology, Ningbo 315201, PR China
Zhenhua Xia*
Affiliation:
Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, PR China
Shiyi Chen
Affiliation:
Eastern Institute for Advanced Study, Eastern Institute of Technology, Ningbo 315201, PR China Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, PR China
*
†Email address for correspondence: xiazh1006@163.com
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Abstract

Based on the characteristics of large-scale plume currents in rotating plane Poiseuille flows (RPPF), an injection/suction control strategy is introduced to augment the intensity of plume currents and improve the turbulent transport of passive scalar. The control strategy maintains the conventional non-penetrative condition on the stable side, and applies a wall-normal velocity that varies in the spanwise direction on the unstable side. For comparison, the control with non-penetrative condition on the unstable side and injection/suction on the stable side is also examined. The RPPF at $Re_\tau$ ranging from $180$ to $300$ and $Ro_\tau$ ranging from $0$ to $30$ are studied. Injection/suction with fixed root-mean-squared wall-normal velocity (below $1\,\%$ of the bulk mean velocity) at the wall is considered. Direct numerical simulations reveal that the injection/suction on the stable side has minor effect for all cases studied, whereas the injection/suction with properly distributed slots on the unstable side can significantly enhance the large-scale plume currents and the turbulent transport efficiency at small or moderate rotation numbers. This is attributed to the fact that plumes are generated on the unstable side, and controlling the origin of plumes is more effective. A proper strategy for maximum enhancement of turbulent transport is limiting the distance between injection slots equal to or slightly larger than the intrinsic distance between plume currents. This strategy is valid for all physical and computational parameters currently considered, and is potentially applicable over a much wider parameter range.

JFM classification

Flow Control: Mixing enhancement Turbulent Flows: Rotating turbulence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 979 , 25 January 2024 , A43
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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Supplementary material: File

Zhang et al. supplementary movie 1

Contours of v′ in the y−z plane from case at Roτ=5 without injection/suction control.
Download Zhang et al. supplementary movie 1(File)
File 5.1 MB
Supplementary material: File

Zhang et al. supplementary movie 2

Contours of v′ in the y−z plane from case at Roτ=5 with two injection slots in a spanwise period on the bottom (unstable) wall.
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File 3.1 MB
Supplementary material: File

Zhang et al. supplementary movie 3

Contours of v′ in the y−z plane from case at Roτ=5 with four injection slots in a spanwise period on the bottom (unstable) wall.
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File 4.4 MB
Supplementary material: File

Zhang et al. supplementary material 4

Zhang et al. supplementary material
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