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  • Open Access

Opposition flow control for reducing skin-friction drag of a turbulent boundary layer

Giulio Dacome1,*, Robin Mörsch2, Marios Kotsonis1,†, and Woutijn J. Baars1,‡

  • 1Faculty of Aerospace Engineering, Delft University of Technology, 2629 HS Delft, The Netherlands
  • 2Institute of Applied Mathematics and Scientific Computing, University of the Bundeswehr Munich, 85577 Neubiberg, Germany

  • *g.dacome@tudelft.nl
  • †m.kotsonis@tudelft.nl
  • ‡w.j.baars@tudelft.nl

Phys. Rev. Fluids 9, 064602 – Published 6 June, 2024

DOI: https://doi.org/10.1103/PhysRevFluids.9.064602

Abstract

This work explores the dynamic response of a turbulent boundary layer to large-scale reactive opposition control, at a friction Reynolds number of Reτ≈2240. A surface-mounted hot-film is employed as the input sensor, capturing large-scale fluctuations in the wall-shear stress, and actuation is performed with a single on/off wall-normal blowing jet positioned 2.4δ downstream of the input sensor, operating with an exit velocity of vj=0.4U∞. Our study builds upon the work of Abbassi et al. [Int. J. Heat Fluid Flow 67, 30 (2017)] and includes a control-calibration experiment and a performance assessment using PIV- and PTV-based flow field analyses. With the control-off calibration-experiment conducted a priori, a transfer kernel is identified so that the velocity fluctuations that are to-be-controlled can be estimated. The controller targets large-scale high-speed zones in an “opposing” mode and low-speed zones in a “reinforcing” mode. A desynchronized mode was tested for reference and consisted of a statistically similar control mode, but without synchronization to the incoming velocity fluctuations. An energy-attenuation of about 40 % is observed for the opposing control mode in the frequency band corresponding to the passage of large-scale motions. This proves the effectiveness of the control in targeting large-scale motions: an energy-intensification of roughly 45% occurs for the reinforcing control mode instead, while no change in energy, within the wall-normal range targeted, appears with the desynchronized control mode. Moreover, direct measures of the skin-friction drag are inferred from PTV data. Results indicate that the opposing control logic yields the lowest wall-shear stress (3% lower than the desynchronized control, and 10% lower than the uncontrolled flow). Finally, a FIK-decomposition of the skin-friction coefficient revealed that the off-the-wall turbulence follows a consistent trend with the PTV-based wall-shear stress measurements, although biased by an increased shear in the wake of the boundary layer given the formation of a plume due to the jet-in-crossflow actuation.

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References (60)

  1. S. J. Kline, W. C. Reynolds, F. A. Schraub, and P. W. Runstadler, The structure of turbulent boundary layers, J. Fluid Mech. 30, 741 (1967).
  2. R. E. Falco, Coherent motions in the outer region of turbulent boundary layers, Phys. Fluids 20, S124 (1977).
  3. K. C. Kim and R. J. Adrian, Very large-scale motion in the outer layer, Phys. Fluids 11, 417 (1999).
  4. J. H. Lee and H. J. Sung, Very-large-scale motions in a turbulent boundary layer, J. Fluid Mech. 673, 80 (2011).
  5. J. Jiménez, Coherent structures in wall-bounded turbulence, J. Fluid Mech. 842, P1 (2018).
  6. R. Rathnasingham and K. S. Breuer, System identification and control of a turbulent boundary layer, Phys. Fluids 9, 1867 (1997).
  7. S. F. Tardu, Near wall turbulence control by local time periodical blowing, Exp. Therm Fluid Sci. 16, 41 (1998).
  8. R. Rathnasingham and K. S. Breuer, Active control of turbulent boundary layers, J. Fluid Mech. 495, 209 (2003).
  9. H. L. Bai, Y. Zhou, W. G. Zhang, S. J. Xu, Y. Wang, and R. A. Antonia, Active control of a turbulent boundary layer based on local surface perturbation, J. Fluid Mech. 750, 316 (2014).
  10. Z. X. Qiao, Y. Zhou, and Z. Wu, Turbulent boundary layer under the control of different schemes, Proc. Math. Phys. Eng. Sci. 473, 20170038 (2017).
  11. P. Orlandi and J. Jiménez, On the generation of turbulent wall friction, Phys. Fluids 6, 634 (1994).
  12. J. M. Hamilton, J. Kim, and F. Waleffe, Regeneration mechanisms of near-wall turbulence structures, J. Fluid Mech. 287, 317 (1995).
  13. J. Jimenez and A. Pinelli, The autonomous cycle of near-wall turbulence, J. Fluid Mech. 389, 335 (1999).
  14. W. Schoppa and F. Hussain, A large-scale control strategy for drag reduction in turbulent boundary layers, Phys. Fluids 10, 1049 (1998).
  15. J. Canton, R. Örlü, C. Chin, and P. Schlatter, Reynolds number dependence of large-scale friction control in turbulent channel flow, Phys. Rev. Fluids 1, 081501(R) (2016).
  16. J. Canton, R. Örlü, C. Chin, N. Hutchins, J. Monty, and P. Schlatter, On large-scale friction control in turbulent wall flow in low Reynolds number channels, Flow, Turbul. Combust. 97, 811 (2016).
  17. I. Marusic, D. Chandran, A. Rouhi, M. K. Fu, D. Wine, B. Holloway, D. Chung, and A. J. Smits, An energy-efficient pathway to turbulent drag reduction, Nat. Commun. 12, 5805 (2021).
  18. N. Hutchins and I. Marusic, Evidence of very long meandering features in the logarithmic region of turbulent boundary layers, J. Fluid Mech. 579, 1 (2007).
  19. R. Deshpande, D. Chandran, A. J. Smits, and I. Marusic, The relationship between manipulated inter-scale phase and energy-efficient turbulent drag reduction, J. Fluid Mech. 972, A12 (2023).
  20. I. Marusic, R. Mathis, and N. Hutchins, Predictive model for wall-bounded turbulent flow, Sci. Mag. 329, 193 (2010).
  21. W. J. Baars, K. M. Talluru, N. Hutchins, and I. Marusic, Wavelet analysis of wall turbulence to study large-scale modulation of small scales, Exp. Fluids 56, 188 (2015).
  22. S. L. Brunton and B. R. Noack, Closed-loop turbulence control: Progress and challenges, Appl. Mech. Rev. 67, 050801 (2015).
  23. H. Choi, P. Moin, and J. Kim, Active turbulence control for drag reduction in wall-bounded flows, J. Fluid Mech. 262, 75 (1994).
  24. A. Guseva and J. Jiménez, Linear instability and resonance effects in large-scale opposition flow control, J. Fluid Mech. 935, A35 (2022).
  25. H. Rebbeck and K.-S. Choi, Opposition control of near-wall turbulence with a piston-type actuator, Phys. Fluids 13, 2142 (2001).
  26. H. Rebbeck and K.-S. Choi, A wind-tunnel experiment on real-time opposition control of turbulence, Phys. Fluids 18, 035103 (2006).
  27. M. R. Abbassi, W. J. Baars, N. Hutchins, and I. Marusic, Skin-friction drag reduction in a high-Reynolds-number turbulent boundary layer via real-time control of large-scale structures, Int. J. Heat Fluid Flow 67, 30 (2017).
  28. W. J. Baars, N. Hutchins, and I. Marusic, Self-similarity of wall-attached turbulence in boundary layers, J. Fluid Mech. 823, R2 (2017).
  29. C. E. Tinney, F. Coiffet, J. Delville, A. M. Hall, P. Jordan, and M. N. Glauser, On spectral linear stochastic estimation, Exp. Fluids 41, 763 (2006).
  30. W. J. Baars, N. Hutchins, and I. Marusic, Spectral stochastic estimation of high-Reynolds-number wall-bounded turbulence for a refined inner-outer interaction model, Phys. Rev. Fluids 1, 054406 (2016).
  31. N. Renard and S. Deck, A theoretical decomposition of mean skin friction generation into physical phenomena across the boundary layer, J. Fluid Mech. 790, 339 (2016).
  32. S. Deck, N. Renard, R. Laraufie, and P.-E. Weiss, Large-scale contribution to mean wall shear stress in high-Reynolds-number flat-plate boundary layers up to Reθ=13650, J. Fluid Mech. 743, 202 (2014).
  33. K. Fukagata, K. Iwamoto, and N. Kasagi, Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows, Phys. Fluids 14, L73 (2002).
  34. M. P. Schultz and K. A. Flack, The rough-wall turbulent boundary layer from the hydraulically smooth to the fully rough regime, J. Fluid Mech. 580, 381 (2007).
  35. M. Hultmark and A. J. Smits, Temperature corrections for constant temperature and constant current hot-wire anemometers, Meas. Sci. Technol. 21, 105404 (2010).
  36. B. L. Smith, D. R. Neal, M. A. Feero, and G. Richards, Assessing the limitations of effective number of samples for finding the uncertainty of the mean of correlated data, Meas. Sci. Technol. 29, 125304 (2018).
  37. K. A. Chauhan, P. A. Monkewitz, and H. M. Nagib, Criteria for assessing experiments in zero pressure gradient boundary layers, Fluid Dyn. Res. 41, 021404 (2009).
  38. N. Hutchins, T. B. Nickels, I. Marusic, and M. S. Chong, Hot-wire spatial resolution issues in wall-bounded turbulence, J. Fluid Mech. 635, 103 (2009).
  39. A. J. Smits, J. Monty, M. Hultmark, S. C. C. Bailey, N. Hutchins, and I. Marusic, Spatial resolution correction for wall-bounded turbulence measurements, J. Fluid Mech. 676, 41 (2011).
  40. M. Lee and R. D. Moser, Direct numerical simulation of turbulent channel flow up to Reτ=5200, J. Fluid Mech. 774, 395 (2015).
  41. T. H. New, T. T. Lim, and S. C. Luo, Elliptic jets in cross-flow, J. Fluid Mech. 494, 119 (2003).
  42. R. Sau and K. Mahesh, Dynamics and mixing of vortex rings in crossflow, J. Fluid Mech. 604, 389 (2008).
  43. K. Mahesh, The interaction of jets with crossflow, Annu. Rev. Fluid Mech. 45, 379 (2013).
  44. E. J. Gutmark, I. M. Ibrahim, and S. Murugappan, Circular and noncircular subsonic jets in cross flow, Phys. Fluids 20, 075110 (2008).
  45. P. Pokharel and S. Acharya, Dynamics of circular and rectangular jets in crossflow, Comput. Fluids 230, 105111 (2021).
  46. N. Hutchins, K. Chauhan, I. Marusic, J. Monty, and J. Klewicki, Towards reconciling the large-scale structure of turbulent boundary layers in the atmosphere and laboratory, Boundary-Layer Meteorol 145, 273 (2012).
  47. E. Martini, J. Jung, A. V. G. Cavalieri, P. Jordan, and A. Towne, Resolvent-based tools for optimal estimation and control via the Wiener–Hopf formalism, J. Fluid Mech. 937, A19 (2022).
  48. J. Jimenez, R. Martinez-Val, and M. Rebollot, Hot-film sensors calibration drift in water, J. Phys. E 14, 569 (1981).
  49. D. R. Smith, Interaction of a synthetic jet with a crossflow boundary layer, AIAA J. 40, 2277 (2002).
  50. M. E. Erengil and D. S. Dolling, Unsteady wave structure near separation in a Mach 5 compression ramp interaction, AIAA J. 29, 728 (1991).
  51. J.-M. Shi, D. Gerlach, M. Breuer, and F. Durstb, Analysis of heat transfer from single wires close to walls, Phys. Fluids 15, 908 (2003).
  52. E. S. Zanoun, F. Durst, and J. M. Shi, The physics of heat transfer from hot wires in the proximity of walls of different materials, Int. J. Heat Mass Transf. 52, 3693 (2009).
  53. K. U. Kempaiah, F. Scarano, G. E. Elsinga, B. W. van Oudheusden, and L. Bermel, 3-dimensional particle image velocimetry based evaluation of turbulent skin-friction reduction by spanwise wall oscillation, Phys. Fluids 32, 085111 (2020).
  54. B. Sun, M. Shehzad, D. Jovic, C. Cuvier, C. Willert, Y. Ostovan, J.-M. Foucaut, C. Atkinson, and J. Soria, Distortion correction of two-component two-dimensional PIV using a large imaging sensor with application to measurements of a turbulent boundary layer flow at Reτ=2386, Exp. Fluids 62, 183 (2021).
  55. I. Marusic, K. Chauhan, V. Kulandaivelu, and N. Hutchins, Evolution of zero-pressure-gradient boundary layers from different tripping conditions, J. Fluid Mech. 783, 379 (2015).
  56. S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, UK, 2000).
  57. P. T. Harsha and S. C. Lee, Correlation between turbulent shear stress and turbulent kinetic energy, AIAA J. 8, 1508 (1970).
  58. N. Kasagi and K. Fukagata, The FIK identity and its implication for turbulent skin friction control, in Transition and Turbulence Control, Lecture Notes Series Institute for Mathematical Sciences National University of Singapore Vol. 8, edited by M. GadElHak and H. M. Tsai (World Scientific, Singapore, 2006).
  59. W. J. Baars and I. Marusic, Data-driven decomposition of the streamwise turbulence kinetic energy in boundary layers. Part 1. Energy spectra, J. Fluid Mech. 882, A25 (2020).
  60. J. S. Bendat and A. G. Piersol, Random Data: Analysis and Measurement Procedures, 3rd ed. (John Wiley & Sons, New York, NY, 2000).

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