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

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Duque-Daza, Carlos A., Baig, M. F., Lockerby, Duncan A., Chernyshenko, S. I. and Davies, C. (2012) Modelling turbulent skin-friction control using linearized Navier–Stokes equations. Journal of Fluid Mechanics, Volume 702 . pp. 403-414. doi:10.1017/jfm.2012.189 ISSN 0022-1120.

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Official URL: http://dx.doi.org/10.1017/jfm.2012.189

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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.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Engineering > Engineering
Journal or Publication Title: Journal of Fluid Mechanics
Publisher: Cambridge University Press
ISSN: 0022-1120
Official Date: July 2012
Dates:
DateEvent
July 2012Published
Volume: Volume 702
Page Range: pp. 403-414
DOI: 10.1017/jfm.2012.189
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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