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Droplets Suspended Beneath a Fiber Hub.

Yi Zhang1, Zhao Pan1

  • 1Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.

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Summary

This study investigates liquid droplet retention on fiber hubs, revealing two distinct regimes based on fiber count. Maximum droplet volume is determined by fiber number and instability, crucial for understanding wetting phenomena.

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Area of Science:

  • Surface science and fluid dynamics
  • Materials science and engineering

Background:

  • Droplet-fiber interactions are significant in nature and engineering.
  • Research has primarily focused on single or two-fiber systems.
  • The liquid droplet retention capacity of fiber hubs remains underexplored.

Purpose of the Study:

  • To investigate the liquid droplet retention capability of fiber hubs.
  • To develop models predicting the maximum droplet volume on fiber hubs.
  • To understand the transition in droplet behavior with increasing fiber count.

Main Methods:

  • Development of analytical and semi-empirical models for droplet volume prediction.
  • Validation of models using experimental data.
  • Analysis of droplet stability mechanisms based on contact line pinning and Rayleigh-Taylor instability.

Main Results:

  • Maximum droplet volume on fiber hubs exhibits two distinct regimes based on fiber number (n).
  • A critical fiber number (n*) marks the transition between regimes.
  • Regime I (n ≤ n*) shows increasing volume with fiber count, governed by three-phase contact line pinning.
  • Regime II (n > n*) shows a plateau in volume, governed by Rayleigh-Taylor instability, similar to flat surfaces.

Conclusions:

  • Fiber hubs have a finite capacity for retaining liquid droplets, dependent on fiber count.
  • The transition at n* signifies a change in the dominant instability mechanism.
  • The findings provide a predictive framework for droplet behavior on fiber assemblies.