Flapping states of a flag in an inviscid fluid: Bistability and the transition to chaos

Silas Alben, Michael J. Shelley

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate the "flapping flag" instability through a model for an inextensible flexible sheet in an inviscid 2D flow with a free vortex sheet. We solve the fully-nonlinear dynamics numerically and find a transition from a power spectrum dominated by discrete frequencies to an apparently continuous spectrum of frequencies. We compute the linear stability domain which agrees with previous approximate models in scaling but differs by large multiplicative factors. We also find hysteresis, in agreement with previous experiments.

Original languageEnglish (US)
Article number074301
JournalPhysical Review Letters
Volume100
Issue number7
DOIs
StatePublished - Feb 28 2008

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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