Drag reduction via opposition control in turbulent channel flows at high Reynolds numbers
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 (). However, its performance at high remains an open question. Here we investigate OC at high using direct numerical simulations of turbulent channel flow at friction Reynolds numbers () ranging from 200 to 2000, delineating its limitations and identifying the physical mechanisms responsible. The principal finding is that drag reduction () decreases with increasing , consistent with similar low results reported in the literature. For the detection plane at decreases from at to at . In addition, the optimal moves slightly inward as 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 drag reduction can be obtained at high Reynolds numbers, say, . Interestingly, the root-mean-square wall-normal velocity fluctuation at the wall () to achieve the maximum is around 0.25 for all cases. Further statistical analysis reveals that the decrease in at high 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 . 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 .