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Modelling turbulent skin-friction control using linearized Navier–Stokes equations

  • C. A. Duque-Daza (a1) (a2), M. F. Baig (a1), D. A. Lockerby (a1), S. I. Chernyshenko (a3) and C. Davies (a4)...

Abstract

Linearized Navier–Stokes equations are solved to investigate the impact on the growth of near-wall turbulent streaks that arises from streamwise-travelling waves of spanwise wall velocity. The percentage change in streak amplification due to the travelling waves, over a range of wave parameters, is compared to published direct numerical simulation (DNS) predictions of turbulent skin-friction reduction; a clear correlation between the two is observed. Linearized simulations at a much higher Reynolds number, more relevant to aerospace applications, produce results that show no marked differences to those obtained at low Reynolds number. It is also observed that there is a close correlation between DNS data of drag reduction and a very simple characteristic of the ‘generalized’ Stokes layer generated by the streamwise-travelling waves.

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Corresponding author

Email address for correspondence: duncan.lockerby@warwick.ac.uk

References

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