Abstract
Direct numerical simulations were performed to study the effect of streamwise travelling waves of spanwise wall velocity on turbulent channel flow. Simulations with various control parameters, scaled by wall units, are performed at four Reynolds numbers, corresponding to \( {\text{Re}}_{\tau } = 200,\,400,\,800,\,1600 \). As the Reynolds number is increased the intensity of both the drag reduction and drag increase is reduced. This reduction does not scale universally, and the drag reduction deteriorates quickly with increased Reynolds number when the parameters used are close to optimal. The consequence of this variation in Reynolds scaling is that the value of the optimal forcing parameters change, even in wall units, with increased Reynolds number.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Choi JI, Xu CX, Sung HJ (2002) Drag reduction by spanwise wall oscillation in wall-bounded turbulent flows. AIAA J 40(5):842–850
Hurst E, Chung YM (2012a) The Reynolds number effect of turbulent drag reduction. In 9th European Fluid Mechanics Conference, 9–13 September, Rome, Italy
Hurst E, Chung YM (2012b) Turbulent drag reduction by spanwise wall oscillation: the Reynolds number effect. In Joint ERCOFTAC/PLASMAERO Workshop, 10–12 December, Toulouse, France
Hurst E, Chung YM (2013) The effect of reynolds number on turbulent drag reduction by streamwise travelling waves. J Fluid Mech submitted
Kim K, Baek SJ, Sung HJ (2002) An implicit velocity decoupling procedure for the incompressible Navier-Stokes equations. Int J Numer Meth Fluids 38(2):125–138
Quadrio M, Ricco P, Viotti C (2009) Streamwise-travelling waves of spanwise wall velocity for turbulent drag reduction. J Fluid Mech 627:161–178
Ricco P, Quadrio M (2008) Wall-oscillation conditions for drag reduction in turbulent channel flow. Int J Heat Fluid Flow 29(4):891–902
Talha T (2012) A numerical investigation of three-dimensional unsteady turbulent channel flow subjected to temporal acceleration. PhD thesis, School of Engineering, University of Warwick, UK
Touber E, Leschziner MA (2012) Near-wall streak modification by spanwise oscillatory wall motion and drag-reduction mechanisms. J Fluid Mech 693:150–200
Acknowledgments
This work was supported by the EPSRC, Airbus Operations Ltd and EADS UK Ltd (EP/G060215/1). This work has also received support from European commission FP7 project AirPROM (Grant Agreement FP7 270194, www.airprom.eu), and the EPSRC through the UK Turbulence Consortium (EP/G069581/1). Computer resources were provided by the Centre for Scientific Computing, University of Warwick. This work made use of the facilities of HECToR, the UK’s national high-performance computing service, which is provided by UoE HPCx Ltd at the University of Edinburgh, Cray Inc and NAG Ltd, and funded by the Office of Science and Technology through EPSRC’s High End Computing Programme.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chung, Y.M., Hurst, E. (2014). Turbulent Drag Reduction at High Reynolds Numbers. In: Zhou, Y., Liu, Y., Huang, L., Hodges, D. (eds) Fluid-Structure-Sound Interactions and Control. Lecture Notes in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40371-2_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-40371-2_13
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-40370-5
Online ISBN: 978-3-642-40371-2
eBook Packages: EngineeringEngineering (R0)