Pairing Instability in Helical Vortices

  • Hadrien Bolnot
  • Stéphane Le Dizès
  • Thomas Leweke
Part of the Research Topics in Wind Energy book series (RTWE, volume 2)

Abstract

The stability properties of helical vortices are of interest for applications such as wind turbine and helicopter wakes. In the former, they contribute to the transition from an organised vortex system to a turbulent wake behind the rotor, and in the latter they may be related to the inception of the so-called Vortex Ring State of the wake of a helicopter in steep descent [2, 7]. In this work, we consider the particular instability that leads to vortex pairing, for which previous experimental [1, 4] and numerical [5] studies have shown that it plays an important role in rotor wakes. In the following, we recall a few theoretical results concerning this phenomenon, and then present experimental observations of pairing in a single helical vortex under carefully controlled conditions.

Keywords

Vortex Convection Argon Transportation Beach 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Alfredsson, P.H., Dahlberg, J.-Å.: Technical Note AU-1499 (Part 7), The Aeronautical Research Institute of Sweden, Stockholm (1979)Google Scholar
  2. 2.
    Bolnot, H., Le Dizès, S., Leweke, T.: AIAA Paper 2011-3927 (2011)Google Scholar
  3. 3.
    Branger, P., Chomaz, J.M.: Phys. Rev. Lett. 78, 658 (1997)Google Scholar
  4. 4.
    Felli, M., Camussi, R., Di Felice, F.: J. Fluid Mech. 682, 5 (2011)Google Scholar
  5. 5.
    Ivanell, S., Mikkelsen, R., Sørensen, J.N., Henningson, D.: Wind Energy 13, 705 (2010)Google Scholar
  6. 6.
    Lamb, H.: Hydrodynamics, 6th edn. Cambridge University Press (1932)Google Scholar
  7. 7.
    Leishman, J.G., Bhagwat, M.J., Ananthan, S.: J. Am. Helicopter Soc. 49, 160 (2004)Google Scholar
  8. 8.
    Levy, H., Forsdyke, A.G.: Proc. R. Soc. Lond. A 114, 594 (1927)Google Scholar
  9. 9.
    Meunier, P., Le Dizès, S., Leweke, T.: C. R. Physique 6, 431 (2005)Google Scholar
  10. 10.
    Okulov, V.L., Sørensen, J.N.: J. Fluid Mech. 649, 497 (2010)CrossRefMATHGoogle Scholar
  11. 11.
    Selig, M.S., Guglielmo, J.J., Broeren, A.P., Giguere, P.: Summary of Low-Speed Airfoil Data, SoarTech, Virginia Beach, vol. 1 (1995)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Hadrien Bolnot
    • 1
  • Stéphane Le Dizès
    • 1
  • Thomas Leweke
    • 1
  1. 1.IRPHE UMR 7342, CNRSAix-Marseille UniversitéMarseilleFrance

Personalised recommendations