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Vorticity transport in a turbulent channel flow subjected to streamwise travelling waves

Published online by Cambridge University Press:  13 July 2023

Mohammad Umair Open the ORCID record for Mohammad Umair [Opens in a new window]  and
Sedat Tardu Open the ORCID record for Sedat Tardu [Opens in a new window]
Mohammad Umair*
Affiliation:
UMR 5519 Laboratoire des Écoulements Géophysiques et Industriels (LEGI), CNRS, Grenoble-INP, Université Grenoble Alpes, 1209–1211 rue de la piscine, Domaine Universitaire, 38400 Saint-Martin-d'Hères, France
Sedat Tardu
Affiliation:
UMR 5519 Laboratoire des Écoulements Géophysiques et Industriels (LEGI), CNRS, Grenoble-INP, Université Grenoble Alpes, 1209–1211 rue de la piscine, Domaine Universitaire, 38400 Saint-Martin-d'Hères, France
*
†Email address for correspondence: mohammad.umair@legi.grenoble-inp.fr
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Abstract

Direct numerical simulations of turbulent channel flow subjected to spanwise wall oscillations in the form of streamwise travelling waves (STW) were performed in an effort to elucidate the mechanism responsible for the observed drag reduction. We imposed large amplitudes to identify the proper effects of STW, while keeping the angular frequency and wavenumber fixed at a particular values. We primarily focus on the vorticity transport mechanism, to better understand the influence of STW actuation on the near-wall turbulence. We identify key terms appearing in the turbulent enstrophy transport equations that are directly linked to the STW actuation. The analysis reveals that the primary effect of the STW forcing is to attenuate the spanwise turbulent enstrophy at the wall, which is linked to the fluctuating wall shear stress. The suppression of the wall-normal turbulent enstrophy is deemed to be subordinate. To strengthen this point, we performed numerical experiments, where the streamwise fluctuating velocity, and consequently the spanwise vorticity, is artificially suppressed next to the wall. The anisotropic invariant maps show striking resemblance for large amplitude STW actuation and artificially forced cases. Detailed analysis of various structural features is provided, which includes the response of the near-wall streaks and shear layers of spanwise fluctuating velocity field. The quasistreamwise vortices, which play a key role in the regeneration mechanism, are shown to be pushed away from the wall, resulting in their weakened signature at the wall.

JFM classification

Flow Control: Drag reduction Turbulent Flows: Turbulence control
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 967 , 25 July 2023 , A9
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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