Symmetry breaking of two-dimensional time-periodic wakes

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

Research output: Contribution to journalArticle

76 Scopus citations

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

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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