Progress in Turbulence V pp 121-126 | Cite as
Turbulence Control in Plane Couette Flow by Spanwise Reflection Symmetry Breaking
Abstract
We propose a new strategy shear flow turbulence control which can be realised by the following steps: (i) a specially designed, non-symmetric in spanwise direction seed velocity perturbations imposed at the boundaries of the flow; (ii) the configuration of the imposed perturbations ensures a gain of shear flow energy and the breaking of turbulence reflection symmetry - generates spanwise mean flow; (iii) the generated flow changes the self-sustaining dynamics and results in considerable reduction of the level of turbulence and its kinetic energy production. The generated spanwise mean flow is a result of an action of intrinsic nonlinear processes of forced turbulence and it is not directly introduced in the system - the activation of the intrinsic processes is the basic idea of the proposed strategy. A model, weak near-wall forcing was designed to impose in the flow the perturbations with required characteristics and the efficiency of the proposed scheme was demonstrated by direct numerical simulation using plane Couette flow as a representative example. The considerable reduction (up to 35%) of production of turbulent kinetic energy was obtained.
Keywords
Turbulent Kinetic Energy Direct Numerical Simulation Drag Reduction Couette Flow Streamwise VortexPreview
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References
- Choi, H., Moin, P., Kim, J.: Direct numerical simulation of turbulent flow over riblets. J. Fluid Mech. 255, 503–539 (1993)MathSciNetMATHCrossRefGoogle Scholar
- Craik, A.D.D., Criminale, W.O.: Evolution of Wavelike Disturbances in Shear Flows: A Class of Exact Solutions of the Navier-Stokes Equations. Proc. R. Soc. Lond. A 406, 13–26 (1986)MathSciNetMATHCrossRefGoogle Scholar
- Gad-El-Hak, M.: Passive, Active and Reactive Flow. Cambridge Univ. Press, Cambridge (2000)MATHCrossRefGoogle Scholar
- Garcia-Mayoral, R., Jimenez, J.: Hydrodynamic stability and breakdown of the viscous regime over riblets. J. Fluid Mech. 678, 317–347 (2011)MATHCrossRefGoogle Scholar
- Karniadakis, G.E., Choi, K.-S.: Mechanisms on transverse motions in turbulent wall flows. Annu. Rev. Fluid Mech. 35, 45–62 (2003)MathSciNetCrossRefGoogle Scholar
- Kim, J.: Physics and control of wall turbulence for drag reduction. Phil. Trans. R. Soc. A 369, 1396–1411 (2011)MATHCrossRefGoogle Scholar
- Quadrio, M., Ricco, P., Viotti, C.: Streamwise-travelling waves of spanwise wall velocity for turbulent drag reduction. J. Fluid Mech. 627, 161–178 (2009)MathSciNetMATHCrossRefGoogle Scholar
- Skote, M.: Studies of turbulent boundary layer flow through direct numerical simulation. PhD thesis, Royal Institute of Technology, Stockholm, Sweden (2001)Google Scholar