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Related Experiment Videos

Shape and stability of a viscous thread.

Sergey Senchenko1, Tomas Bohr

  • 1Physics Department, Danish Technical University, DK-2800 Lyngby, Denmark. senchen@fysik.dtu.dk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
Summary
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Falling viscous liquid threads can remain stable for meters due to fluid advection overcoming instability. This surprising stability is independent of viscosity, offering insights into fluid dynamics.

Area of Science:

  • Fluid dynamics
  • Rheology
  • Surface physics

Background:

  • Viscous fluids streaming from orifices form long, stable threads under gravity.
  • The Rayleigh-Plateau instability typically limits thread length.

Purpose of the Study:

  • To investigate the stability and shape of free-falling viscous liquid threads.
  • To understand the mechanisms behind the extended stability of these liquid threads.

Main Methods:

  • Analysis using the long-wavelength approximation.
  • Comparison of theoretical shapes with experimental observations.
  • Mathematical modeling of perturbation growth and spatial stability.

Main Results:

  • Falling fluid advection significantly counteracts the Rayleigh-Plateau instability.

Related Experiment Videos

  • Thread stability and asymptotic shape are independent of fluid viscosity.
  • Perturbation growth rates were characterized, showing specific temporal and spatial dependencies.
  • A slow spatial increase in gravity can enhance thread stability.
  • Conclusions:

    • Strong advection is key to maintaining long, stable liquid threads.
    • The observed stability extends beyond typical predictions based on viscosity alone.
    • External factors like gravity gradients can be manipulated to control thread stability.