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

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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
Journal or Publication Title:	Journal of Fluid Mechanics
Publisher:	Cambridge University Press
ISSN:	0022-1120
Official Date:	July 2012
Dates:	Date Event July 2012 Published
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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