Abstract
Waves of spanwise velocity traveling along the walls of a plane turbulent channel flow are studied by Direct Numerical Simulations. We consider waves of spanwise velocity which are oscillating in time and modulated in space along the streamwise direction.Waves which slowly travel forward produce a large reduction of drag. Faster waves, with a phase speed corresponding to the convection velocity of the turbulent fluctuations at the wall, lock with the convecting near-wall turbulent structures and yield drag increase. Backward-traveling waves, on the other hand, invariably produce a drag-reducing effect. To explain the physical mechanisms involved, the generalized Stokes layer induced by the traveling waves is studied in the laminar regime.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Jung, W.J., Mangiavacchi, N., Akhavan, R.: Suppression of turbulence in wall-bounded flows by high-frequency spanwise oscillations. Phys. Fluids A 4(8), 1605–1607 (1992)
Kim, J., Hussain, F.: Propagation velocity of perturbations in turbulent channel flow. Phys. Fluids A 5(3), 695–706 (1993)
Luchini, P., Quadrio, M.: A low-cost parallel implementation of direct numerical simulation of wall turbulence. J. Comp. Phys. 211(2), 551–571 (2006)
Quadrio, M., Ricco, P.: Critical assessment of turbulent drag reduction through spanwise wall oscillation. J. Fluid Mech. 521, 251–271 (2004)
Viotti, C., Quadrio, M., Luchini, P.: Streamwise oscillation of spanwise velocity at the wall of a channel for turbulent drag reduction. Phys. Fluids (2008) (submitted)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Quadrio, M. (2009). The Response of Wall Turbulence to Streamwise-Traveling Waves of Spanwise Velocity. In: Peinke, J., Oberlack, M., Talamelli, A. (eds) Progress in Turbulence III. Springer Proceedings in Physics, vol 131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02225-8_46
Download citation
DOI: https://doi.org/10.1007/978-3-642-02225-8_46
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02224-1
Online ISBN: 978-3-642-02225-8
eBook Packages: EngineeringEngineering (R0)