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    Drag reduction via opposition control in turbulent channel flows at high Reynolds numbers

    Jie Yao1,2,*, Edgardo García3, and Fazle Hussain3

    • *Contact author: jieyaobit@outlook.com

    Phys. Rev. Fluids 10, 094604 – Published 26 September, 2025

    DOI: https://doi.org/10.1103/nl1r-m43s

    Abstract

    Opposition control (OC), which suppresses drag-inducing motions near the wall by local blowing and suction, has been shown to be effective in reducing drag in wall-bounded turbulence at low Reynolds numbers (Re). However, its performance at high Re remains an open question. Here we investigate OC at high Re using direct numerical simulations of turbulent channel flow at friction Reynolds numbers (Reτ) ranging from 200 to 2000, delineating its limitations and identifying the physical mechanisms responsible. The principal finding is that drag reduction (DR) decreases with increasing Reτ, consistent with similar low Re results reported in the literature. For the detection plane at yd+=15, DR decreases from 22.3% at Reτ=200 to 18.1% at Reτ=2000. In addition, the optimal yd+ moves slightly inward as Reτ increases, in line with the inward shift of the near-wall peak of the streamwise vorticity fluctuation. Using previously proposed models, we predict that an approximately 15% drag reduction can be obtained at high Reynolds numbers, say, Reτ≥104. Interestingly, the root-mean-square wall-normal velocity fluctuation at the wall (vrms,w′+) to achieve the maximum DR is around 0.25 for all Reτ cases. Further statistical analysis reveals that the decrease in DR at high Reτ is due to a reduced ability to suppress large-scale turbulence near the wall, whose contribution continuously increases due to the enhanced modulation and penetration effect of the outer large-scale and very large-scale motions. Coherent structure analysis confirms the inability of OC to control outer large-scale structures and shows the strengthening of near-wall streamwise vortices with increasing Reτ. These findings suggest that future efforts should explore advanced approaches such as hybrid control strategies incorporating phase-lag formulations or complementary actuation targeting outer-layer motions, to extend the effectiveness of OC at high Re.

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