Symmetry breaking of two-dimensional time-periodic wakes

H. M. Blackburn, F. Marques, Juan Lopez

Research output: Contribution to journalArticle

75 Citations (Scopus)

Abstract

A number of two-dimensional time-periodic flows, for example the Kármán street wake of a symmetrical bluff body such as a circular cylinder, possess a spatio-temporal symmetry: a combination of evolution by half a period in time and a spatial reflection leaves the flow invariant. Floquet analyses for the stability of these flows to three-dimensional perturbations have in the past been based on the Poincaré map, without attempting to exploit the spatio-temporal symmetry. Here, Floquet analysis based on the half-period-flip map provides a comprehensive interpretation of the symmetry-breaking bifurcations.

Original languageEnglish (US)
Pages (from-to)395-411
Number of pages17
JournalJournal of Fluid Mechanics
Volume522
DOIs
StatePublished - Jan 10 2005

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wakes
broken symmetry
Circular cylinders
bluff bodies
streets
symmetry
circular cylinders
leaves
perturbation

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

Symmetry breaking of two-dimensional time-periodic wakes. / Blackburn, H. M.; Marques, F.; Lopez, Juan.

In: Journal of Fluid Mechanics, Vol. 522, 10.01.2005, p. 395-411.

Research output: Contribution to journalArticle

Blackburn, H. M. ; Marques, F. ; Lopez, Juan. / Symmetry breaking of two-dimensional time-periodic wakes. In: Journal of Fluid Mechanics. 2005 ; Vol. 522. pp. 395-411.
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