Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-13T01:59:42.571Z Has data issue: false hasContentIssue false
  • English
  • Français

Instability of helical tip vortices in rotor wakes

Published online by Cambridge University Press:  11 August 2011

J. N. SØRENSEN
J. N. SØRENSEN*
Affiliation:
Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Kongens Lyngby, Denmark
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The conditions for the appearance of instabilities in systems of helical vortices constitute an intriguing problem that still remains partly unsolved. The experimental study of Felli, Camussi & Di Felice (J. Fluid Mech., this issue, vol. 682, 2011, pp. 5–53) has shed new light on some of the basic mechanisms governing the instability mechanisms.

JFM classification

Aerodynamics: Aerodynamics Vortex Flows: Vortex instability Wakes/Jets: Wakes
Type
Focus on Fluids
Information
Journal of Fluid Mechanics , Volume 682 , 10 September 2011 , pp. 1 - 4
Copyright
Copyright © Cambridge University Press 2011

References

Bhagwat, M. J. & Leishman, J. G. 2000 Stability analysis of helicopter rotor wakes in axial flight. J. Am. Helicopter Assoc. 45, 165–178.CrossRefGoogle Scholar
Bolnot, T., Leweke, T. & Le Dizès, S. 2011 Spatio-temporal development of the pairing instability in helical vortices. AIAA Paper 2011-3927.Google Scholar
Breslin, J. P. & Andersen, P. 1994 Hydrodynamics of Ship Propellers. Cambridge University Press.Google Scholar
Conlisk, A. T. 2001 Modern helicopter rotor aerodynamics. Prog. Aerosp. Sci. 37, 419–476.CrossRefGoogle Scholar
Felli, M., Camussi, R. & Di Felice, F. 2011 Mechanisms of evolution of the propeller wake in the transition and far fields. J. Fluid Mech. 682, 5–53.Google Scholar
Gupta, B. P. & Loewy, R. G. 1974 Theoretical analysis of the aerodynamic stability of multiple, interdigitated helical vortices. AIAA J. 12, 1381–1387.Google Scholar
Ivanell, S., Mikkelsen, R., Sørensen, J. N. & Henningson, D. 2010 Stability analysis of the tip vortices of a wind turbine. Wind Energy 13, 705–715.Google Scholar
Levy, H. & Forsdyke, A. G. 1928 The steady motion and stability of a helical vortex. Proc. R. Soc. Lond. A 120, 670–690.Google Scholar
Okulov, V. L. 2004 On the stability on multiple helical vortices. J. Fluid Mech. 521, 319–342.CrossRefGoogle Scholar
Okulov, V. L. & Sørensen, J. N. 2007 Stability of helical tip vortices in a rotor far wake. J. Fluid Mech. 576, 1–25.CrossRefGoogle Scholar
Sørensen, J. N. & Shen, W. Z. 2002 Numerical modeling of wind turbine wakes. J. Fluids Engng 124, 393–399.CrossRefGoogle Scholar
Vermeer, L. J., Sørensen, J. N. & Crespo, A. 2003 Wind turbine wake aerodynamics. Prog. Aerosp. Sci. 39, 467–510.Google Scholar
Widnall, S. E. 1972 The stability of a helical vortex filament. J. Fluid Mech. 54, 641–663.CrossRefGoogle Scholar