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Related Experiment Videos

Fluid-flow-induced flutter of a flag.

Médéric Argentina1, L Mahadevan

  • 1Division of Engineering and Applied Sciences, Harvard University, Pierce Hall, 29 Oxford Street, Cambridge, MA 02138, USA.

Proceedings of the National Academy of Sciences of the United States of America
|February 3, 2005
PubMed
Summary

We explain how fluid flow causes flags to flutter. Our theory identifies key factors like flag stiffness and flow dynamics, predicting critical speeds and flapping frequencies for flag flutter.

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Area of Science:

  • Fluid Dynamics
  • Mechanical Engineering
  • Aeroelasticity

Background:

  • Fluid-flow-induced flutter is a common phenomenon in flags and similar structures.
  • Understanding the onset and characteristics of this instability is crucial for design and analysis.

Purpose of the Study:

  • To provide a theoretical explanation for the onset of fluid-flow-induced flutter in a flag.
  • To identify and incorporate the key physical mechanisms governing flag flutter.
  • To predict the critical flow speed and flapping frequency.

Main Methods:

  • Developed a theoretical model accounting for flag properties (finite length, bending stiffness) and flow characteristics (unsteadiness, added mass, vortex shedding).
  • Analyzed the interplay of these factors to determine the conditions for instability.

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  • Derived expressions for critical flutter speed and flapping frequency.

    • Main Results:

    • The theory successfully explains the onset of flutter by considering multiple physical mechanisms.
    • A critical speed for the initiation of flapping motion was predicted.
    • The frequency of flapping was also determined by the analysis.
    • A specific limit reveals the instability resembles a resonance phenomenon.

    Conclusions:

    • The developed theory offers a comprehensive explanation for fluid-flow-induced flag flutter.
    • The model accurately predicts key parameters like critical speed and flapping frequency.
    • The findings provide insights into the aeroelastic behavior of flexible structures in flowing fluids.