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Phys. Rev. E 61, 5247–5252 (2000)

Bifurcation theory for three-dimensional flow in the wake of a circular cylinder

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Dwight Barkley*
Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom

Laurette S. Tuckerman†
LIMSI-CNRS, Boîte Postale 133, 91403 Orsay Cedex, France

Martin Golubitsky‡
Department of Mathematics, University of Houston, Houston, Texas 77204

Received 20 September 1999; published in the issue dated May 2000

A bifurcation scenario is presented for three-dimensional vortex shedding in the wake of a circular cylinder for Reynolds numbers up to 300. Amplitude equations are proposed to describe the nonlinear interaction between two three-dimensional modes of shedding with different spanwise wave numbers and different spatiotemporal symmetries. The amplitude equations explain many features of the transition scenario observed experimentally.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.61.5247
DOI:
10.1103/PhysRevE.61.5247
PACS:
47.27.Vf, 47.15.Fe, 47.54.+r

*Electronic address: barkley@maths.warwick.ac.uk

†Electronic address: laurette@limsi.fr

‡Electronic address: mg@math.uh.edu

 
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