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Lipid Bilayer Vesicle Generation Using Microfluidic Jetting
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Bubble Bursting: Universal Cavity and Jet Profiles.

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  • 1Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, New Jersey 08544, USA.

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Bubble bursting dynamics reveal a universal |t-t₀|²ᐟ³ scaling law for cavity collapse and jet formation, governed by surface tension and inertia. This finding reconciles scaling theories for jet velocity and droplet size.

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Area of Science:

  • Fluid dynamics
  • Surface physics
  • Capillary phenomena

Background:

  • Bubble bursting at liquid surfaces generates jets via cavity collapse and capillary waves.
  • Fluid dynamics are governed by the Laplace number (La), comparing capillary inertia and viscous forces.

Purpose of the Study:

  • To investigate the time-dependent scaling laws of bubble cavity collapse and jet formation.
  • To reconcile different scaling theories for jet velocity and droplet size based on the Laplace number.

Main Methods:

  • Analysis of cavity collapse and jet formation dynamics.
  • Derivation of inviscid scaling laws based on surface tension and inertia.
  • Development of a scaling law valid above a critical Laplace number.

Main Results:

  • Both cavity collapse and jet formation exhibit a universal |t-t₀|²ᐟ³ inviscid scaling.
  • A new scaling law is presented, valid for La above a critical value.
  • This law connects time-dependent scaling with theories linking La to jet velocity and droplet size.

Conclusions:

  • The |t-t₀|²ᐟ³ scaling law provides a unified description of bubble-driven jetting.
  • The derived formula self-similarly describes the entire jetting process, from collapse to droplet ejection.