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Oscillating path between self-similarities in liquid pinch-off.

Antoine Lagarde1, Christophe Josserand2, Suzie Protière3

  • 1Institut Jean Le Rond ∂'Alembert, Sorbonne Université, Centre National de la Recherche Scientifique, UMR 7190, F-75005 Paris, France.

Proceedings of the National Academy of Sciences of the United States of America
|November 21, 2018
PubMed
Summary
This summary is machine-generated.

System geometry and perturbations influence transitions between self-similar solutions in viscous fluid pinch-off. Unexpected oscillations in the transient regime delay the final self-similar state, impacting fluid dynamics predictions.

Keywords:
external constraintslog-oscillationpinch-offself-similarityviscous

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Area of Science:

  • Fluid dynamics
  • Nonlinear dynamics
  • Mathematical physics

Background:

  • Singular behaviors in differential equations are common in natural sciences.
  • Self-similar solutions can describe evolving singularities, but regime transitions are poorly understood.

Purpose of the Study:

  • To investigate the transition between self-similar regimes in a viscous liquid thread pinch-off.
  • To understand the role of system geometry and external perturbations in this transition.

Main Methods:

  • Experimental study of viscous liquid thread pinch-off.
  • Analysis of symmetric and asymmetric solutions.
  • Observation of transient regimes and oscillations.

Main Results:

  • System geometry and external perturbations are crucial for transitioning from symmetric to asymmetric solutions.
  • The transient regime exhibits unexpected log-scale oscillations.
  • These oscillations significantly delay the onset of the final self-similar solution.

Conclusions:

  • External constraints strongly influence predictions for phenomena like satellite droplet formation.
  • Understanding these transitions is vital for accurate rheological testing and fluid behavior modeling.