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Three-dimensional instability of the flow around a rotating circular cylinder

Published online by Cambridge University Press:  30 July 2013

Jan O. Pralits ,
Flavio Giannetti  and
Luca Brandt
Jan O. Pralits*
Affiliation:
DICCA, University of Genoa, Via Montallegro 1, 16145 Genoa (GE), Italy
Flavio Giannetti
Affiliation:
DIIN, University of Salerno, Via Ponte don Melillo, 84084 Fisciano (SA), Italy
Luca Brandt
Affiliation:
Linné Flow Centre, KTH Mechanics, S-100 44 Stockholm, Sweden
*
†Email address for correspondence: [email protected]
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Abstract

The two-dimensional stationary flow past a rotating cylinder is investigated for both two- and three-dimensional perturbations. The instability mechanisms are analysed using linear stability analysis and the complete neutral curve is presented. It is shown that the first bifurcation in the case of the rotating cylinder occurs for stationary three-dimensional perturbations, confirming recent experiments. Interestingly, the critical Reynolds number at high rotation rates is lower than that for the stationary circular cylinder. The spatial characteristics of the disturbance and a qualitative comparison with the results obtained for linear flows suggest that the stationary unstable three-dimensional mode could be of hyperbolic nature.

JFM classification

Wakes/Jets: Vortex streets Wakes/Jets: Wakes/Jets
Type
Papers
Information
Journal of Fluid Mechanics , Volume 730 , 10 September 2013 , pp. 5 - 18
Copyright
©2013 Cambridge University Press 

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