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Control of the secondary cross-flow instability using localized suction

Published online by Cambridge University Press:  13 July 2012

Tillmann Friederich  and
Markus J. Kloker
Tillmann Friederich
Affiliation:
Institut für Aerodynamik und Gasdynamik, Universität Stuttgart, Pfaffenwaldring 21, D-70550 Stuttgart, Germany
Markus J. Kloker*
Affiliation:
Institut für Aerodynamik und Gasdynamik, Universität Stuttgart, Pfaffenwaldring 21, D-70550 Stuttgart, Germany
*
†Email address for correspondence: [email protected]
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Abstract

Transition control by suction in a three-dimensional boundary-layer flow subject to cross-flow instability is investigated using direct numerical simulation. Whereas the classical application of (homogeneous) suction at the wall is aimed at modifying the quasi-two-dimensional base flow to weaken primary cross-flow instability, here the three-dimensional nonlinear disturbance state with large-amplitude steady cross-flow vortices (CFVs) is controlled. Strong, localized ‘pinpoint’ suction is shown to be suitable for altering the CFVs and the associated flow field such that secondary instability is weakened or even completely suppressed. Thus significant delay of transition to turbulence can be achieved.

JFM classification

Flow Control: Drag reduction Flow Control: Instability control Instability: Transition to turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 706 , 10 September 2012 , pp. 470 - 495
Copyright
Copyright © Cambridge University Press 2012

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References

1. Babucke, A., Linn, J., Kloker, M. J. & Rist, U. 2006 Direct numerical simulation of shear flow phenomena on parallel vector computers. In High Performance Computing on Vector Systems 2005 (ed. Resch, M. et al. ), Proc. High Performance Computing Center Stuttgart (HLRS) , pp. 229–247. Springer.Google Scholar
2. Bippes, H. 1999 Basic experiments on transition in three-dimensional boundary layers dominated by cross-flow instability. Prog. Aerosp. Sci. 35, 363–412.CrossRefGoogle Scholar
3. Bonfigli, G. 2006 Numerical simulation of transition and early turbulence in a 3-D boundary layer perturbed by superposed stationary and travelling cross-flow vortices. Dissertation, University of Stuttgart.Google Scholar
4. Bonfigli, G. & Kloker, M. J. 2007 Secondary instability of cross-flow vortices: validation of the stability theory by direct numerical simulation. J. Fluid Mech. 583, 229–272.CrossRefGoogle Scholar
5. Friederich, T. A. & Kloker, M. J. 2008 Localized blowing and suction for direct control of the cross-flow secondary instability. AIAA Paper 2008-4394.CrossRefGoogle Scholar
6. Friederich, T. A. & Kloker, M. J. 2011 Control of crossflow-vortex induced transition: DNS of pinpoint suction. AIAA Paper 2011-3884.CrossRefGoogle Scholar
7. Joslin, R. D. 1998 a Overview of laminar flow control. NASA, TP-1998-208705. Langley Research Center, Hampton, VA.Google Scholar
8. Joslin, R. D. 1998b Aircraft laminar flow control. Annu. Rev. Fluid Mech. 30, 1–29.CrossRefGoogle Scholar
9. Kloker, M. J. 2008 Advanced laminar flow control on a swept wing – useful cross-flow vortices and suction. AIAA Paper 2008-3835.CrossRefGoogle Scholar
10. Koch, W., Bertolotti, F. P., Stolte, A. & Hein, S. 2000 Nonlinear equilibrium solutions in a three-dimensional boundary layer and their secondary instability. J. Fluid Mech. 406, 131–174.CrossRefGoogle Scholar
11. Malik, M. R., Li, F., Choudhari, M. M. & Chang, C.-L. 1999 Secondary instability of cross-flow vortices and swept-wing boundary-layer transition. J. Fluid Mech. 399, 85–115.CrossRefGoogle Scholar
12. Messing, R. & Kloker, M. J. 2010 Investigation of suction for laminar flow control of three-dimensional boundary layers. J. Fluid Mech. 658, 117–147.CrossRefGoogle Scholar
13. Saric, W. S., Carpenter, A. L. & Reed, H. L. 2008 Laminar flow control flight test for swept wings: strategies for LFC. AIAA Paper 2008-3834.Google Scholar
14. Saric, W. S., Carrillo, R. & Reibert, M. 1998 a Leading-edge roughness as a transition control mechanism. AIAA Paper 98-0781.CrossRefGoogle Scholar
15. Saric, W. S., Carrillo, R. & Reibert, M. 1998b Nonlinear stability and transition in 3-D boundary layers. Meccanica 33, 469–487.CrossRefGoogle Scholar
16. Saric, W. S., Reed, H. L. & White, E. B. 2003 Stability and transition of three-dimensional boundary layers. Annu. Rev. Fluid Mech. 35, 413–440.CrossRefGoogle Scholar
17. Schmidt, O. T. & Rist, U. 2011 Linear stability of compressible flow in a streamwise corner. J. Fluid Mech. 688, 569–590.CrossRefGoogle Scholar
18. Schrauf, G. 2005 Status and perspectives of laminar flow. Aeronaut. J. 109 (1102), 639–644.CrossRefGoogle Scholar
19. Wassermann, P. & Kloker, M. J. 2002 Mechanisms and passive control of cross-flow-vortex induced transition in a three-dimensional boundary layer. J. Fluid Mech. 456, 49–84.CrossRefGoogle Scholar
20. Wassermann, P. & Kloker, M. J. 2003 Transition mechanisms induced by travelling cross-flow vortices in a three-dimensional boundary layer. J. Fluid Mech. 483, 67–89.CrossRefGoogle Scholar
21. Wassermann, P. & Kloker, M. J. 2005 Transition mechanisms in a three-dimensional boundary-layer flow with pressure-gradient changeover. J. Fluid Mech. 530, 265–293.CrossRefGoogle Scholar
22. White, E. B. & Saric, W. S. 2005 Secondary instability of cross-flow vortices. J. Fluid Mech. 525, 275–308.CrossRefGoogle Scholar

Friedrich and Klocker supplementary movie

Pinpoint suction with three holes for case 3-H (visualisation of vortical structures using the λ2-criterion).

Download Friedrich and Klocker supplementary movie(Video)
Video 10.9 MB

Friedrich and Klocker supplementary movie

Pinpoint suction with three holes for case 3-H (visualisation of vortical structures using the λ2-criterion).

Download Friedrich and Klocker supplementary movie(Video)
Video 23.3 MB

Friedrich and Klocker supplementary movie

Pinpoint suction with three shifted holes for case 3-H* (visualisation of vortical structures using the λ2-criterion).

Download Friedrich and Klocker supplementary movie(Video)
Video 13.1 MB

Friedrich and Klocker supplementary movie

Pinpoint suction with three shifted holes for case 3-H* (visualisation of vortical structures using the λ2-criterion).

Download Friedrich and Klocker supplementary movie(Video)
Video 23.5 MB

Friedrich and Klocker supplementary movie

Pinpoint suction with nine holes for case 9-H (visualisation of vortical structures using the λ2-criterion).

Download Friedrich and Klocker supplementary movie(Video)
Video 9.4 MB

Friedrich and Klocker supplementary movie

Pinpoint suction with nine holes for case 9-H (visualisation of vortical structures using the λ2-criterion).

Download Friedrich and Klocker supplementary movie(Video)
Video 18.7 MB