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

Published online by Cambridge University Press:  23 May 2012

C. A. Duque-Daza ,
M. F. Baig ,
D. A. Lockerby ,
S. I. Chernyshenko  and
C. Davies
C. A. Duque-Daza
Affiliation:
School of Engineering, University of Warwick, Coventry CV4 7AL, UK Department of Mechanical and Mechatronics Engineering, Universidad Nacional de Colombia, Bogota 111321, Colombia
M. F. Baig
Affiliation:
School of Engineering, University of Warwick, Coventry CV4 7AL, UK
D. A. Lockerby*
Affiliation:
School of Engineering, University of Warwick, Coventry CV4 7AL, UK
S. I. Chernyshenko
Affiliation:
Department of Aeronautics, Imperial College, London SW7 2AZ, UK
C. Davies
Affiliation:
School of Mathematics, Cardiff University, Cardiff CF24 4AG, UK
*
†Email address for correspondence: duncan.lockerby@warwick.ac.uk
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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.

JFM classification

Flow Control: Drag reduction Turbulent Flows: Turbulence control
Type
Papers
Information
Journal of Fluid Mechanics , Volume 702 , 10 July 2012 , pp. 403 - 414
Copyright
Copyright © Cambridge University Press 2012

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