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

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...

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Published in:Journal of fluid mechanics 2012-07, Vol.702, p.403-414
Main Authors: Duque-Daza, C. A., Baig, M. F., Lockerby, D. A., Chernyshenko, S. I., Davies, C.
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Correlation
Exact sciences and technology
Fluid dynamics
Fluid flow
Fluid mechanics
Friction
Fundamental areas of phenomenology (including applications)
Mathematical models
Navier-Stokes equations
Physics
Reynolds number
Streak
Turbulence
Turbulence control
Turbulent flow
Turbulent flows, convection, and heat transfer
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cited_by cdi_FETCH-LOGICAL-c436t-2f159740b83394965a327ef5aa85e042597bd25275b88dae1dfe801d2b70b6c83
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container_title Journal of fluid mechanics
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creator Duque-Daza, C. A.
Baig, M. F.
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description 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.
doi_str_mv 10.1017/jfm.2012.189
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subjects Computational fluid dynamics
Correlation
Exact sciences and technology
Fluid dynamics
Fluid flow
Fluid mechanics
Friction
Fundamental areas of phenomenology (including applications)
Mathematical models
Navier-Stokes equations
Physics
Reynolds number
Streak
Turbulence
Turbulence control
Turbulent flow
Turbulent flows, convection, and heat transfer
title Modelling turbulent skin-friction control using linearized Navier–Stokes equations
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