Flapping states of a flag in an inviscid fluid

Bistability and the transition to chaos

Silas Alben, Michael Shelley

Research output: Contribution to journalArticle

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
JournalFluid Dynamics Research
Volume46
Issue number5
DOIs
StatePublished - Oct 1 2014

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flapping
Chaos theory
chaos
vortex sheets
inviscid flow
Fluids
fluids
continuous spectra
Power spectrum
Hysteresis
power spectra
Vortex flow
hysteresis
scaling
Experiments

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Physics and Astronomy(all)
  • Mechanical Engineering

Cite this

Flapping states of a flag in an inviscid fluid : Bistability and the transition to chaos. / Alben, Silas; Shelley, Michael.

In: Fluid Dynamics Research, Vol. 46, No. 5, 074301, 01.10.2014.

Research output: Contribution to journalArticle

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