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Magnetically Induced Rotating Rayleigh-Taylor Instability
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Shrinking instability of toroidal droplets.

Alexandros A Fragkopoulos1, Ekapop Pairam2, Eric Berger1

  • 1School of Physics, Georgia Institute of Technology, Atlanta, GA 30332-0430.

Proceedings of the National Academy of Sciences of the United States of America
|March 3, 2017
PubMed
Summary
This summary is machine-generated.

Toroidal droplets shrink and change shape due to surface tension. Researchers used particle image velocimetry to visualize internal flow, revealing non-circular cross-sections and validating theoretical models for droplet evolution.

Keywords:
PIVStokes flowhydrodynamic instabilitiesliquid toristream function

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Area of Science:

  • Fluid dynamics
  • Surface tension phenomena
  • Instability in fluid interfaces

Background:

  • Toroidal droplets are inherently unstable, prone to breakup and shape distortion.
  • Surface tension drives the evolution and eventual decay of toroidal structures.
  • Understanding these instabilities is crucial for various applications, from microfluidics to material science.

Purpose of the Study:

  • To investigate the dynamic evolution and internal flow of shrinking toroidal droplets.
  • To determine how the toroidal shape changes over time and its effect on stability.
  • To validate theoretical models against experimental observations of droplet behavior.

Main Methods:

  • Particle image velocimetry (PIV) was employed to capture the internal velocity fields.
  • Experimental data of droplet interface velocities were used for theoretical reconstruction.
  • Analysis focused on the deviation of the droplet's cross-section from a circular shape.

Main Results:

  • The cross-section of evolving toroidal droplets significantly deviates from circularity.
  • Experimental velocity data were used to successfully reconstruct the internal flow field.
  • Specific theoretical modes were identified as essential for describing the observed experimental features.

Conclusions:

  • The study provides experimental evidence of shape deformation in shrinking toroidal droplets.
  • Theoretical reconstruction of the internal flow field accurately matches experimental findings.
  • The research elucidates the critical role of specific modes in capturing the complex dynamics of toroidal droplet evolution.