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Ordinal pattern-based analysis of an opposition-controlled turbulent channel flow

Published online by Cambridge University Press:  26 November 2024

Ryo Iseki ,
Hiroshi Gotoda Open the ORCID record for Hiroshi Gotoda [Opens in a new window]  and
Yusuke Nabae Open the ORCID record for Yusuke Nabae [Opens in a new window]
Ryo Iseki
Affiliation:
Department of Mechanical Engineering, Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585, Japan
Hiroshi Gotoda
Affiliation:
Department of Mechanical Engineering, Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585, Japan
Yusuke Nabae*
Affiliation:
Department of Mechanical Engineering, Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585, Japan
*
†Email address for correspondence: [email protected]
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Abstract

We conduct a numerical study on the drag-reduction mechanism of an opposition- controlled turbulent channel flow from the viewpoint of a symbolic dynamics approach. The effect of the virtual wall formed by the opposition control is maximised at the location of the detection plane $y_d^+ \approx 10$. At this wall-normal location, the local link strength of the self-loop of network nodes representing the negative correlation pattern between the streamwise and wall-normal velocity fluctuations is maximised in the uncontrolled flow. In the controlled case, the multiscale complexity–entropy causality plane and the spatial permutation entropy at $y_d^+ \approx 10$ indicate that the drag-reduction effect is attributed to the reduction of the region where streaks actively coalesce and separate and the suppression of the regeneration cycle in the region near the wall.

JFM classification

Flow Control: Drag reduction Turbulent Flows: Turbulence control Waves/Free-surface Flows: Channel flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 1000 , 10 December 2024 , A43
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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