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Near-wall streak modification by spanwise oscillatory wall motion and drag-reduction mechanisms

Published online by Cambridge University Press:  16 January 2012

Emile Touber  and
Michael A. Leschziner
Emile Touber*
Affiliation:
Department of Aeronautics, Imperial College London, South Kensington Campus, London SW7 2AZ, UK
Michael A. Leschziner
Affiliation:
Department of Aeronautics, Imperial College London, South Kensington Campus, London SW7 2AZ, UK
*
†Email address for correspondence: e.touber@imperial.ac.uk
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Abstract

Direct numerical simulations for fully developed channel flow, subjected to oscillatory spanwise wall motion, have been performed and analysed in an effort to illuminate the fundamental mechanisms responsible for the reduction in turbulent friction drag, observed to result from the spanwise wall motion. A range of statistical data are discussed, including second-moment budgets, joint-probability-density functions, enstrophy and energy-spectra maps. Structural features are also investigated by reference to the response of streak properties to the oscillatory forcing. The unsteady cross-flow straining is shown to cause major spanwise distortions in the streak near-wall structures, leading to a pronounced reduction in the wall-normal momentum exchange in the viscous sublayer, hence disrupting the turbulence contribution to the wall shear stress. The response of the streaks, in terms of their periodic reorientation in wall-parallel planes, the decline and recovery of their intensity during the cyclic actuation, and their wall-normal coherence, is shown to be closely correlated with the temporal variation of the shear-strain vector. Furthermore, a modulating ‘top-to-bottom’ effect, associated with large-scale outer-layer structures, is highlighted and deemed responsible for the observed reduction in the actuation efficiency as the Reynolds number is increased.

JFM classification

Flow Control: Drag reduction Turbulent Flows: Turbulence control Turbulent Flows: Turbulent boundary layers
Type
Papers
Information
Journal of Fluid Mechanics , Volume 693 , 25 February 2012 , pp. 150 - 200
Copyright
Copyright © Cambridge University Press 2012

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References

1. Adrian, R. J., Meinhart, C. D. & Tomkins, C. D. 2000 Vortex organization in the outer region of the turbulent boundary layer. J. Fluid Mech. 422, 1–54.CrossRefGoogle Scholar
2. Adrian, R. J., Meinhart, C. D. & Tomkins, C. D. 2000 Vortex organization in the outer region of the turbulent boundary layer. J. Fluid Mech. 422, 1–54.CrossRefGoogle Scholar
3. Akhavan, R., Jung, W. J. & Mangiavacchi, N. 1993 Turbulence control in wall-bounded flows by spanwise oscillations. Appl. Sci. Res. 51, 299–303.CrossRefGoogle Scholar
4. Baron, A. & Quadrio, M. 1995 Turbulent drag reduction by spanwise wall oscillations. Appl. Sci. Res. 55, 311–326.CrossRefGoogle Scholar
5. Blesbois, O. & Chernyshenko, S. I. 2011 Generalised optimal perturbation approach applied to drag reduction by wall oscillations in turbulent flows. In 7th International Symposium on Turbulence and Shear Flow Phenomena, Ottawa, pp. 1–6. Paper is available from TSFP-7 website (http://tsfp7.org/papers.php).CrossRefGoogle Scholar
6. Bradshaw, P. & Pontikos, P. 1985 Measurements in the turbulent boundary layer on an ‘infinite’ swept wing. J. Fluid Mech. 159, 105–130.CrossRefGoogle Scholar
7. Chernyshenko, S. I. & Baig, M. F. 2005 The mechanism of streak formation in near-wall turbulence. J. Fluid Mech. 544, 99–131.CrossRefGoogle Scholar
8. Choi, K.-S. 2002 Near-wall structure of turbulent boundary layer with spanwise-wall oscillation. Phys. Fluids 14 (7), 2530–2542.CrossRefGoogle Scholar
9. Choi, K.-S. & Clayton, B. R. 2001 The mechanism of turbulent drag reduction with wall oscillation. Intl J. Heat Fluid Flow 22 (1), 1–9.CrossRefGoogle Scholar
10. Choi, K.-S., DeBisschop, J.-R. & Clayton, B. R. 1998 Turbulent boundary-layer control by means of spanwise-wall oscillation. AIAA J. 36 (7).CrossRefGoogle Scholar
11. Choi, K.-S. & Graham, M. 1998 Drag reduction of turbulent pipe flows by circular-wall oscillation. Phys. Fluids 10 (1).Google Scholar
12. Choi, H., Moin, P. & Kim, J. 1994 Active turbulence control for drag reduction in wall-bounded flows. J. Fluid Mech. 262, 75–110.CrossRefGoogle Scholar
13. Choi, J.-I., Xu, C.-X. & Sung, H.-J. 2002 Drag reduction by spanwise wall oscillation in wall-bounded turbulent flows. AIAA J. 40 (5).CrossRefGoogle Scholar
14. Dhanak, M. R. & Si, C. 1999 On reduction of turbulent wall friction through spanwise wall oscillations. J. Fluid Mech. 383, 175–195.CrossRefGoogle Scholar
15. Di Cicca, G. M., Iuso, G., Spazzini, P. G. & Onorato, M. 2002 Particle image velocimetry investigation of a turbulent boundary layer manipulated by spanwise wall oscillations. J. Fluid Mech. 467, 41–56.Google Scholar
16. Driver, D. M. & Hebbar, S. K. 1987 Experimental study of a three-dimensional shear-driven, turbulent boundary layer. AIAA J. 25 (1).Google Scholar
17. Du, Y., Symeonidis, V. & Karniadakis, G. E. 2002 Drag reduction in wall-bounded turbulence via a transverse travelling wave. J. Fluid Mech. 457, 1–34.Google Scholar
18. Eaton, J. K. 1995 Effects of mean flow three dimensionality on turbulent boundary-layer structure. AIAA J. 33 (11).CrossRefGoogle Scholar
19. Fishpool, G. M. & Leschziner, M. A. 2009 Stability bounds for explicit fractional-step schemes for the Navier–Stokes equations at high Reynolds number. Comput. Fluids 38, 1289–1298.Google Scholar
20. Fröhlich, J., Mellen, C. P., Rodi, W., Temmerman, L. & Leschziner, M. A. 2005 Highly resolved large-eddy simulations of seperated flow in a channel with streamwise periodic constrictions. J. Fluid Mech. 526, 19–66.Google Scholar
21. Frohnapfel, B., Hasegawa, Y. & Kasagi, N. 2010 Friction drag reduction through damping of the near-wall spanwise velocity fluctuation. Intl J. Heat Fluid Flow 31 (3), 434–441.Google Scholar
22. Frohnapfel, B., Lammers, P., Jovanović, J. & Durst, F. 2007 Interpretation of the mechanism associated with turbulent drag reduction in terms of anisotropy invariants. J. Fluid Mech. 577, 457–466.Google Scholar
23. Fukagata, K., Iwamoto, K. & Kasagi, N. 2002 Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows. Phys. Fluids 14 (11).CrossRefGoogle Scholar
24. Fukagata, K., Kobayashi, M. & Kasagi, N. 2010 On the friction drag reduction effect by a control of large-scale turbulent structures. J. Fluid Sci. Technol. 5 (3).CrossRefGoogle Scholar
25. Hamilton, J. M., Kim, J & Waleffe, F. 1995 Regeneration mechanisms of near-wall turbulence structures. J. Fluid Mech. 287, 317–348.Google Scholar
26. Howard, R. J. A & Sandham, N. D. 2000 Simulation and modelling of a skewed turbulent channel flow. Flow Turbul. Combust. 65, 83–109.Google Scholar
27. Hutchins, N., Monty, J. P., Ganapathisubramani, B., Ng, H. C. H & Marusic, I. 2011 Three-dimensional conditional structure of a high-Reynolds-number turbulent boundary layer. J. Fluid Mech. 673, 255–285.CrossRefGoogle Scholar
28. Jimenez, J. & Pinelli, A. 1999 The autonomous cycle of near-wall turbulence. J. Fluid Mech. 389, 335–359.CrossRefGoogle Scholar
29. Jung, W. J., Mangiavacchi, N. & Akhavan, R. 1992 Suppression of turbulence in wall-bounded flows by high-frequency spanwise oscillations. Phys. Fluids A 4 (8), 1605–1607.CrossRefGoogle Scholar
30. Kang, S. & Choi, H. 2000 Active wall motions for skin-friction drag reduction. Phys. Fluids 12 (12).Google Scholar
31. Karniadakis, G. E. & Choi, K.-S. 2003 Mechanisms on transverse motions in turbulent wall flows. Annu. Rev. Fluid Mech. 35, 45–62.CrossRefGoogle Scholar
32. Kim, J. 2011 Physics and control of wall turbulence for drag reduction. Phil. Trans. R. Soc. A 369 (1940), 1396–1411.Google Scholar
33. Kim, H. T., Kline, S. J. & Reynolds, W. C. 1971 The production of turbulence near a smooth wall in a turbulent boundary layer. J. Fluid Mech. 50, 133–160.CrossRefGoogle Scholar
34. Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741–773.CrossRefGoogle Scholar
35. Kravchenko, A., Choi, H. & Moin, P. 1993 On the relation of near wall streamwise vortices to wall skin friction in turbulent boundary layersriction drag reduction achievable by near-wall turbulence manipulation at high Reyolds numbers. Phys. Fluids 5 (12).CrossRefGoogle Scholar
36. Kreplin, H.-P. & Eckelmann, H. 1979 Propagation of perturbations in the viscous sublayer and adjacent wall region. J. Fluid Mech. 95, 305–322.Google Scholar
37. Laadhari, F., Skandaji, L. & Morel, R. 1994 Turbulence reduction in a boundary layer by a local spanwise oscillating surface. Phys. Fluids 6 (10).CrossRefGoogle Scholar
38. Lee, C., Kim, J., Babcock, D. & Goodman, R. 1997 Application of neural networks to turbulence control for drag reduction. Phys. Fluids 9 (6).CrossRefGoogle Scholar
39. Lockerby, D. A., Carpenter, P. W. & Davies, C. 2005 Control of sublayer streaks using microjet actuators. AIAA J. 43 (9).Google Scholar
40. Marusic, I., Mathis, R. & Hutchins, N. 2010 Predictive model for wall-bounded turbulent flow. Science 329, 193–196.Google Scholar
41. Moser, R. D., Kim, J. & Mansour, N. N. 1999 Direct numerical simulation of turbulent channel flow up to . Phys. Fluids 11 (4), 943–945.CrossRefGoogle Scholar
42. Pang, J. & Choi, K.-S. 2004 Turbulent drag reduction by Lorentz force oscillation. Phys. Fluids 16 (5).Google Scholar
43. Panton, R. L. 1997 Self-sustaining mechanisms of wall turbulence. Comput. Mech. 422 pages. http://cdsweb.cern.ch/record/489684.Google Scholar
44. Quadrio, M. & Ricco, P. 2003 Initial response of a turbulent channel flow to spanwise oscillation of the walls. J. Turbul. 4 (7).Google Scholar
45. Quadrio, M. & Ricco, P. 2004 Critical assessment of turbulent drag reduction through spanwise wall oscillations. J. Fluid Mech. 521, 251–271.CrossRefGoogle Scholar
46. Quadrio, M. & Ricco, P. 2011 The laminar generalized stokes layer and turbulent drag reduction. J. Fluid Mech. 667, 135–157.CrossRefGoogle Scholar
47. Quadrio, M., Ricco, P. & Viotti, C. 2009 Streamwise-travelling waves of spanwise wall velocity for turbulent drag reduction. J. Fluid Mech. 627, 161–178.CrossRefGoogle Scholar
48. Quadrio, M. & Sibilla, S. 2000 Numerical simulation of turbulent flow in a pipe oscillating around its axis. J. Fluid Mech. 424, 217–241.Google Scholar
49. Rathnasingham, R. & Breuer, K. S. 1997 System identification and control of a turbulent boundary layer. Phys. Fluids 9 (7).Google Scholar
50. Rhie, C. M. & Chow, W. L. 1983 Numerical study of the turbulent flow past an aerofoil with trailing edge separation. AIAA J. 21 (11).Google Scholar
51. Ricco, P. 2004 Modification of near-wall turbulence due to spanwise wall oscillations. J. Turbul. 5 (24).Google Scholar
52. Ricco, P. & Quadrio, M. 2008 Wall-oscillation conditions for drag reduction in turbulent channel flow. Intl J. Heat Fluid Flow 29 (4), 891–902.Google Scholar
53. Schoppa, W. & Hussain, F. 2002 Coherent structure generation in near-wall turbulence. J. Fluid Mech. 453, 57–108.Google Scholar
54. Schraub, F. A. & Kline, S. J. 1965 A study of the structure of the turbulent boundary layer with and without longitudinal pressure gradients. Tech. Rep. MD-12. Department of Mechanical Engineering, Stanford University.Google Scholar
55. Sendstad, O. & Moin, P. 1992 The near wall mechanics of three-dimensional turbulent boundary layers. Tech. Rep. TF-57. Department of Mechanical Engineering, Stanford University.Google Scholar
56. Spalart, P. 1986 Numerical study of sink-flow boundary layers. J. Fluid Mech. 172, 307–328.CrossRefGoogle Scholar
57. Temmerman, L., Leschziner, M. A., Mellen, C. P. & Fröhlich, J. 2003 Investigation of wall-function approximations and subgrid-scale models in large eddy simulation of separated flow in a channel with streamwise periodic constrictions. Intl J. Heat Fluid Flow 24 (2), 157–180.Google Scholar
58. Touber, E. & Leschziner, M. A. 2011 Near-wall streak modification by spanwise oscillatory wall motions. In 7th International Symposium on Turbulence and Shear Flow Phenomena, Ottawa, pp. 1–6. Paper available for download from TSFP-7 website (http://tsfp7.org/papers.php).Google Scholar
59. Waleffe, F. & Kim, J. 1997 How streamwise rolls and streaks self-sustain in a shear flow. Adv. Fluid Mech. Ser. 15, 309–332.Google Scholar
60. Xu, C.-X. & Huang, W.-X. 2005 Transient response of Reynolds stress transport to spanwise wall oscillation in a turbulent channel flow. Phys. Fluids 17 (1).CrossRefGoogle Scholar
61. Yakeno, A., Hasegawa, Y. & Kasagi, N. 2010 Interpretation of the optimal frequency for skin friction drag reduction with spanwise wall-oscillation control. In 8th International ERCOFTAC Symposium on Engineering Turbulence Modelling and Measurements, Marseille, pp. 356–361. ERCOFTAC.Google Scholar
62. Yoshino, T., Suzuki, Y. & Kasagi, N. 2003 Evaluation of GA-based feedback control system for drag reduction in wall turbulence. In Proceedings of 3rd International Symposium on Turbulence and Shear Flow Phenomena, Sendai, Japan, pp. 179–184.Google Scholar
63. Zhou, J., Adrian, R. J., Balachandar, S. & Kendall, T. M. 1999 Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 387, 353–396.Google Scholar