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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
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Abstract

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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