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

Authors
Barkley, D Tuckerman, LS Golubitsky, M
Citation
D. Barkley et al., Bifurcation theory for three-dimensional flow in the wake of a circular cylinder, PHYS REV E, 61(5), 2000, pp. 5247-5252
Citations number
22
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
61
Issue
5
Year of publication
2000
Part
A
Pages
5247 - 5252
Database
ISI
SICI code
1063-651X(200005)61:5<5247:BTFTFI>2.0.ZU;2-M
Abstract
A bifurcation scenario is presented for three-dimensional vortex shedding i n the wake of a circular cylinder for Reynolds numbers up to 300. Amplitude equations are proposed to describe the nonlinear interaction between two t hree-dimensional modes of shedding with different spanwise wave numbers and different spa tiotemporal symmetries. The amplitude equations explain many features of the transition scenario observed experimentally.