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Related Experiment Videos

Simulation of Coating Layer Evolution and Drop Formation on Horizontal Cylinders

Weidner1, Schwartz, Eres

  • 1Department of Mechanical Engineering, University of Delaware, Newark, Delaware, 19716

Journal of Colloid and Interface Science
|March 1, 1997
PubMed
Summary

Liquid film flow on cylinders transitions from uniform coating to distinct drops. Gravity-driven drainage initially suppresses disturbances, allowing wave development and drop formation, influenced by cylinder radius.

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Area of Science:

  • Fluid dynamics
  • Surface phenomena
  • Nonlinear dynamics

Background:

  • Understanding thin liquid film behavior is crucial in various industrial applications.
  • The transition from a continuous film to discrete droplets presents complex physical phenomena.
  • Previous studies have explored droplet formation but lack detailed analysis across varying cylinder geometries.

Purpose of the Study:

  • To derive and numerically solve the lubrication equations for thin liquid film flow on a horizontal cylinder.
  • To investigate the transition dynamics from a uniform film to discrete drops.
  • To analyze the influence of cylinder radius on drop evolution and equilibrium configurations.

Main Methods:

  • Derivation of the lubrication form of governing equations for thin film flow.

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  • Numerical discretization and solution using an alternating-direction implicit algorithm.
  • Simulation of liquid film evolution for a range of cylinder radii.
  • Main Results:

    • A universal transition pathway from uniform coating to distinct drops observed across various cylinder radii.
    • Gravity-driven drainage initially inhibits axial disturbances, followed by longitudinal wave development.
    • Formation of primary and satellite drops through linear and nonlinear wave growth regimes.
    • Equilibrium state reached when surface tension balances gravitational forces, with drop localization dependent on cylinder radius.

    Conclusions:

    • The study elucidates the fundamental physics governing thin liquid film breakup on cylinders.
    • Cylinder radius significantly impacts the final drop configuration, from localized patterns to circumferential wrapping.
    • Integral measures like total energy and viscous dissipation provide insights into the distinct growth phases of the film evolution.