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

Dwight Barkley, Laurette S. Tuckerman, and Martin Golubitsky
Phys. Rev. E 61, 5247 – Published 1 May 2000
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Abstract

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.

  • Received 20 September 1999

DOI:https://doi.org/10.1103/PhysRevE.61.5247

©2000 American Physical Society

Authors & Affiliations

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

  • *Electronic address: barkley@maths.warwick.ac.uk
  • Electronic address: laurette@limsi.fr
  • Electronic address: mg@math.uh.edu

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Issue

Vol. 61, Iss. 5 — May 2000

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