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Measurement of Capillary Forces Using Two Fibers Dynamically Withdrawn from a Liquid: Evidence for an Enhanced

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Fiber retraction speed significantly amplifies capillary attraction forces. This study reveals the dynamic meniscus shape is key to understanding these enhanced interactions, with implications for various applications.

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Area of Science:

  • Fluid dynamics
  • Interfacial phenomena
  • Surface science

Background:

  • Capillary forces are crucial in liquid-solid interactions.
  • Understanding dynamic capillary forces is vital for processes involving fluid withdrawal.
  • Existing theories like Landau-Levich-Derjaguin do not fully capture dynamic meniscus behavior.

Purpose of the Study:

  • To experimentally measure and analyze capillary attraction between two fibers during dynamic withdrawal.
  • To investigate the influence of retraction speed on capillary force magnitude.
  • To develop a theoretical model for dynamic capillary forces based on meniscus shape.

Main Methods:

  • Experimental setup for measuring capillary attraction force during fiber retraction.
  • Optical observation and numerical simulations to characterize the dynamic meniscus.
  • Analysis of the air-liquid interface deformation around single and double fibers.

Main Results:

  • Capillary attraction force increases up to tenfold with retraction speed compared to static conditions.
  • The dynamic meniscus shape, not predicted by classical theories, drives this force enhancement.
  • A linear superposition principle accurately describes the interface around two fibers.
  • An analytical expression for capillary force shows good agreement with experimental data.

Conclusions:

  • Retraction speed critically influences capillary interactions between fibers.
  • The dynamic meniscus shape is the primary factor behind increased capillary forces.
  • The findings offer a new understanding of capillary phenomena with potential industrial and biological applications.