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    Relaxation of drag reduction in supersonic fully developed turbulence with interval blowing

    Shibo Lee1, Chenglin Zhou2, Yang Zhang1,*, Yunlong Zhao1, Jiaqi Luo1, and Yao Zheng1

    • 1Center for Engineering and Scientific Computation and School of Aeronautics and Astronautics, Zhejiang University, Hangzhou, Zhejiang 310027, People's Republic of China
    • 2Beijing Institute of Astronautical Systems Engineering, Beijing 100076, People's Republic of China

    • *Contact author: yangzhang@zju.edu.cn

    Phys. Rev. E 112, 035104 – Published 23 September, 2025

    DOI: https://doi.org/10.1103/336m-5k22

    Abstract

    Direct numerical simulation is utilized to resolve the drag and turbulent characteristics of supersonic fully developed channel turbulence in this paper. Distinct from spatially developing turbulence, a relaxation of the skin friction coefficient is discovered after blowing in fully developed turbulence. The blowing intensity affects the oscillation amplitude of the relaxation instead of frequency and tendency, while the blowing length lowers the skin friction in the blowing zone but decreases the global drag reduction rate. Additionally, the drag reduction effect of various blowing intervals is also examined. The research findings indicate that implementing the second blowing at the location where the drag initially declines to its valley during the relaxation process can yield optimal drag reduction results. This blowing interval contributes to a reduction in the velocity gradient and the global Reynolds shear stress, and an enhancement in the lifting effect on the vortices, consequently leading to a further reduction in turbulent skin friction.

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