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Spiral vortex breakdown as a global mode

Published online by Cambridge University Press:  08 February 2006

FRANÇOIS GALLAIRE ,
MICHAEL RUITH ,
ECKART MEIBURG ,
JEAN-MARC CHOMAZ  and
PATRICK HUERRE
FRANÇOIS GALLAIRE
Affiliation:
Laboratoire J.-A. Dieudonné, CNRS, Université de Nice – Sophia Antipolis, Parc Valrose, F-06108 Nice, France
MICHAEL RUITH
Affiliation:
Department of Mechanical and Environmental Engineering, UCSB, Santa Barbara, CA 93106, USA
ECKART MEIBURG
Affiliation:
Department of Mechanical and Environmental Engineering, UCSB, Santa Barbara, CA 93106, USA
JEAN-MARC CHOMAZ
Affiliation:
Laboratoire d'Hydrodynamique – LadHyX, CNRS – Ecole Polytechnique, F-91128 Palaiseau, France
PATRICK HUERRE
Affiliation:
Laboratoire d'Hydrodynamique – LadHyX, CNRS – Ecole Polytechnique, F-91128 Palaiseau, France
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Abstract

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The spiral form of vortex breakdown observed in the numerical simulations of Ruith et al. (J. Fluid Mech., vol. 486, 2003, p. 331) is interpreted as a nonlinear global mode originating at the convective/absolute instability transition point in the lee of the vortex breakdown bubble. The local absolute frequency at the transition station is shown to yield a satisfactory prediction of the precession frequency measured in the three-dimensional direct numerical simulations.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 549 , 25 February 2006 , pp. 71 - 80
Copyright
© 2006 Cambridge University Press