Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Editors' Suggestion
  • Open Access

Effect of inflow conditions on tip vortex breakdown in a high Reynolds number wind turbine wake

Mano Grunwald

Claudia E. Brunner*

  • *Contact author: claudia.brunner@ds.mpg.de

Phys. Rev. Fluids 11, 014608 – Published 27 January, 2026

DOI: https://doi.org/10.1103/5phx-7dhk

Abstract

Understanding the re-energization of wind turbine wakes is crucial for the design and control of wind farms. Close to the rotor, this process is determined by the dynamics of the tip vortices. Here, we experimentally investigate the downstream evolution of the tip vortices for different inflow conditions. The experiments were performed in the Variable Density Turbulence Tunnel at the Max Planck Institute for Dynamics and Self-Organization, which uses pressurized SF6 as the working fluid to achieve a turbine diameter-based Reynolds number of ReD=2.9×106. An active turbulence grid was used to generate atmospheric inflow conditions with varying levels of mean shear and turbulence intensity. Hot wire measurements of the streamwise velocity component were conducted in the inflow and the wake of a model wind turbine MoWiTO 0.6 for various tip speed ratios and are used to investigate the scaling of tip vortex breakdown in the near wake. Three different scaling regimes can be identified, which we link to an initial advection phase, the vortex breakdown, and a decaying turbulence regime. While the scaling in the vortex breakdown regime is only weakly affected by variations in mean velocity shear and turbulence intensity, higher tip speed ratios lead to faster breakdown.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (44)

  1. R. J. Barthelmie, S. C. Pryor, S. T. Frandsen, K. S. Hansen, J. G. Schepers, K. Rados, W. Schlez, A. Neubert, L. E. Jensen, and S. Neckelmann, Quantifying the impact of wind turbine wakes on power output at offshore wind farms, J. Atmos. Ocean. Technol. 27, 1302 (2010).
  2. K. S. Hansen, R. J. Barthelmie, L. E. Jensen, and A. Sommer, The impact of turbulence intensity and atmospheric stability on power deficits due to wind turbine wakes at Horns Rev wind farm, Wind Energy 15, 183 (2012).
  3. K. Thomsen and P. Sørensen, Fatigue loads for wind turbines operating in wakes, J. Wind Eng. Ind. Aerodyn. 80, 121 (1999).
  4. L. Vermeer, J. Sørensen, and A. Crespo, Wind turbine wake aerodynamics, Prog. Aerosp. Sci. 39, 467 (2003).
  5. F. Porté-Agel, M. Bastankhah, and S. Shamsoddin, Wind-turbine and wind-farm flows: A review, Bound.-Layer Meteorol. 174, 1 (2020).
  6. I. Neunaber, M. Hölling, R. J. A. M. Stevens, G. Schepers, and J. Peinke, Distinct turbulent regions in the wake of a wind turbine and their inflow-dependent locations: The creation of a wake map, Energies 13, 5392 (2020).
  7. L. E. Lignarolo, D. Ragni, C. Simao Ferreira, and G. G. Van Bussel, Experimental quantification of the entrainment of kinetic energy and production of turbulence in the wake of a wind turbine with particle image velocimetry, in 32nd ASME Wind Energy Symposium (American Institute of Aeronautics and Astronautics, National Harbor, Maryland, 2014).
  8. L. Lignarolo, D. Ragni, C. Krishnaswami, Q. Chen, C. Simão Ferreira, and G. Van Bussel, Experimental analysis of the wake of a horizontal-axis wind-turbine model, Renew. Energy 70, 31 (2014).
  9. S. Ivanell, R. Mikkelsen, J. N. Sørensen, and D. Henningson, Stability analysis of the tip vortices of a wind turbine, Wind Energy 13, 705 (2010).
  10. T. Leweke, S. Le Dizès, and C. H. Williamson, Dynamics and instabilities of vortex pairs, Annu. Rev. Fluid Mech. 48, 507 (2016).
  11. A. Posa, R. Broglia, and E. Balaras, Instability of the tip vortices shed by an axial-flow turbine in uniform flow, J. Fluid Mech. 920, A19 (2021).
  12. H. Hu, Z. Yang, and P. Sarkar, Dynamic wind loads and wake characteristics of a wind turbine model in an atmospheric boundary layer wind, Exp. Fluids 52, 1277 (2012).
  13. H. C. Ghimire and S. C. C. Bailey, An experimental investigation of wing-tip vortex decay in turbulence, Phys. Fluids 29, 037108 (2017).
  14. H. C. Ghimire and S. C. C. Bailey, Experimental examination of vorticity stripping from a wing-tip vortex in free-stream turbulence, Phys. Rev. Fluids 3, 034702 (2018).
  15. S. Gambuzza and B. Ganapathisubramani, The influence of free stream turbulence on the development of a wind turbine wake, J. Fluid Mech. 963, A19 (2023).
  16. W. van der Deijl, F. Schmitt, C. Sicot, S. Barre, M. Hölling, and M. Obligado, Effect of background turbulence on the wakes of horizontal-axis and vertical-axis wind turbines, J. Wind Eng. Ind. Aerodyn. 253, 105877 (2024).
  17. P. C. Yen, Y. Li, F. Scarano, and W. Yu, Near-wake behavior of an asymmetric wind turbine rotor, Wind Energ. Sci. 10, 1775 (2025).
  18. L. P. Chamorro and F. Porté-Agel, A wind-tunnel investigation of wind-turbine wakes: Boundary-layer turbulence effects, Bound.-Layer Meteorol. 132, 129 (2009).
  19. L. Li, R. J. Hearst, M. A. Ferreira, and B. Ganapathisubramani, The near-field of a laboratory-scale wind turbine in tailored turbulent shear flows, Renew. Energy 149, 735 (2020).
  20. A. Parinam, P. Benard, D. V. Terzi, and A. Viré, Large-Eddy simulations of wind turbine wakes in sheared inflows, J. Phys.: Conf. Ser. 2505, 012039 (2023).
  21. A. Piqué, M. A. Miller, and M. Hultmark, Laboratory investigation of the near and intermediate wake of a wind turbine at very high Reynolds numbers, Exp. Fluids 63, 106 (2022).
  22. A. Piqué, M. A. Miller, and M. Hultmark, Dominant flow features in the wake of a wind turbine at high Reynolds numbers, J. Renew. Sustain. Energy 14, 033304 (2022).
  23. E. Bodenschatz, G. P. Bewley, H. Nobach, M. Sinhuber, and H. Xu, Variable density turbulence tunnel facility, Rev. Sci. Instrum. 85, 093908 (2014).
  24. H. E. Cekli and W. van de Water, Tailoring turbulence with an active grid, Exp. Fluids 49, 409 (2010).
  25. R. J. Hearst and B. Ganapathisubramani, Tailoring incoming shear and turbulence profiles for laboratory‐scale wind turbines, Wind Energy 20, 2021 (2017).
  26. Y. Jooss, R. J. Hearst, and T. Bracchi, Influence of incoming turbulence and shear on the flow field and performance of a laboratory-scale roof-mounted vertical axis wind turbine, J. Renew. Sustain. Energy 15, 063302 (2023).
  27. M. Hideharu, Realization of a large-scale turbulence field in a small wind tunnel, Fluid Dyn. Res. 8, 53 (1991).
  28. P. Knebel, A. Kittel, and J. Peinke, Atmospheric wind field conditions generated by active grids, Exp. Fluids 51, 471 (2011).
  29. L. Neuhaus, M. Hölling, W. J. T. Bos, and J. Peinke, Generation of atmospheric turbulence with unprecedentedly large Reynolds number in a wind tunnel, Phys. Rev. Lett. 125, 154503 (2020).
  30. K. P. Griffin, N. J. Wei, E. Bodenschatz, and G. P. Bewley, Control of long-range correlations in turbulence, Exp. Fluids 60, 55 (2019).
  31. L. Kröger, J. Frederik, J.-W. van Wingerden, J. Peinke, and M. Hölling, Generation of user defined turbulent inflow conditions by an active grid for validation experiments, J. Phys.: Conf. Ser. 1037, 052002 (2018).
  32. See Supplemental Material at http://link.aps.org/supplemental/10.1103/5phx-7dhk for more details on the active grid protocols used in this study as well as a description of the averaging used for the velocity spectra.
  33. J. Schottler, A. Hölling, J. Peinke, and M. Hölling, Design and implementation of a controllable model wind turbine for experimental studies, J. Phys.: Conf. Ser. 753, 072030 (2016).
  34. J Jüchter, J. Peinke, L. J. Lukassen, and M. Hölling, Reduction and analysis of rotor blade misalignments on a model wind turbine, J. Phys.: Conf. Ser. 2265, 022071 (2022).
  35. N. O. Jensen, A note on wind generator interaction, Technical report Ris-M-2411 (Risø National Laboratory, 1983).
  36. M. Bastankhah and F. Porté-Agel, A new analytical model for wind-turbine wakes, Renew. Energy 70, 116 (2014).
  37. P. Welch, The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms, IEEE Transactions on Audio and Electroacoustics 15, 70 (1967).
  38. Bundesamt für Seeschifffahrt und Hydrographie (BSH), Fino3 measurement data, Offshore measurement platform FINO3, available at https://www.fino3.de/en/news-data/live-data.html (2025), accessed May 15, 2025.
  39. S. B. Pope, Turbulent Flows, 1st ed. (Cambridge University Press, New York, 2000).
  40. M. Schröder, T. Bätge, E. Bodenschatz, M. Wilczek, and G. Bagheri, Estimating the turbulent kinetic energy dissipation rate from one-dimensional velocity measurements in time, Atmos. Meas. Tech. 17, 627 (2024).
  41. N. Biswas and O. R. Buxton, Effect of tip speed ratio on coherent dynamics in the near wake of a model wind turbine, J. Fluid Mech. 979, A34 (2024).
  42. W. Zhang, C. D. Markfort, and F. Porté-Agel, Near-wake flow structure downwind of a wind turbine in a turbulent boundary layer, Exp. Fluids 52, 1219 (2012).
  43. M. Couliou, S. Yadala, G. K. Jankee, I. Neunaber, and R. J. Hearst, The effect of freestream turbulence on wing-tip vortex meandering and deformation, Int. J. Heat Fluid Flow 117, 110013 (2026).
  44. M. Grunwald and C. E. Brunner, Effect of inflow conditions on tip vortex breakdown in a high Reynolds number wind turbine wake, Edmond (2025).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation