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Three-dimensional Floquet stability analysis of the wake of a circular cylinder

Published online by Cambridge University Press:  26 April 2006

Dwight Barkley  and
Ronald D. Henderson
Dwight Barkley
Affiliation:
Nonlinear Systems Laboratory, Mathematics Institute. University of Warwick, Coventry, CV4 7AL, UK
Ronald D. Henderson
Affiliation:
Aeronautics and Applied Mathematics, California Institute of Technology, Pasadena, CA 91125, USA
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Abstract

Results are reported from a highly accurate, global numerical stability analysis of the periodic wake of a circular cylinder for Reynolds numbers between 140 and 300. The analysis shows that the two-dimensional wake becomes (absolutely) linearly unstable to three-dimensional perturbations at a critical Reynolds number of 188.5±1.0. The critical spanwise wavelength is 3.96 ± 0.02 diameters and the critical Floquet mode corresponds to a ‘Mode A’ instability. At Reynolds number 259 the two-dimensional wake becomes linearly unstable to a second branch of modes with wavelength 0.822 diameters at onset. Stability spectra and corresponding neutral stability curves are presented for Reynolds numbers up to 300.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 322 , 10 September 1996 , pp. 215 - 241
Copyright
© 1996 Cambridge University Press

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