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Related Experiment Videos

Drops: the collapse of capillary jets.

Antonio Cordoba1, Diego Cordoba, Charles Fefferman

  • 1Departamento de Matemáticas, Universidad Autonoma de Madrid, Carretera de Colmenar Viejo, Kilometro 15, 28049 Madrid, Spain.

Proceedings of the National Academy of Sciences of the United States of America
|August 13, 2002
PubMed
Summary

Fluid filaments in viscous jets do not break up by uniform filament collapse. Capillary forces prevent the breakup of such jets through this specific mechanism, contrary to common assumptions in fluid dynamics.

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Area of Science:

  • Fluid Dynamics
  • Rheology
  • Surface Science

Background:

  • Viscous fluid jets commonly exhibit filament formation during their evolution.
  • The breakup of these filaments is often attributed to capillary forces.
  • Understanding the precise mechanisms of jet breakup is crucial in various scientific and industrial applications.

Purpose of the Study:

  • To investigate the mechanism of viscous fluid jet breakup.
  • To determine if the collapse of a uniform filament can lead to jet breakup under capillary forces.
  • To challenge or confirm existing hypotheses regarding fluid filament evolution.

Main Methods:

  • Theoretical analysis of fluid filament dynamics.
  • Mathematical modeling of viscous jets under capillary stress.

Related Experiment Videos

  • Simulation of fluid behavior during jet evolution.

    • Main Results:

    • The study demonstrates that the breakup of a viscous fluid jet is not possible through the simple collapse of a uniform filament.
    • Capillary forces, while significant, do not drive breakup via this specific uniform collapse pathway.
    • Alternative mechanisms or non-uniform initial conditions are likely responsible for filament breakup.

    Conclusions:

    • The collapse of a uniform filament is an insufficient mechanism for the breakup of viscous fluid jets driven by capillary forces.
    • This finding necessitates a re-evaluation of theoretical models and experimental interpretations of fluid jet evolution and breakup.
    • Further research is needed to elucidate the exact conditions and mechanisms leading to filamentation and subsequent breakup in viscous jets.