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Capillary Force between Flexible Filaments.

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Filament flexibility significantly alters liquid droplet shapes and capillary forces, especially at high elasto-capillary numbers. This understanding is crucial for applications involving wet fibrous materials like paper formation and flexible component welding.

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Area of Science:

  • Physics
  • Materials Science
  • Fluid Dynamics

Background:

  • Liquid droplets bridging filaments are common in nature and technology.
  • Existing research extensively covers liquid-surface shape, capillary force, and torque.
  • The impact of filament flexibility on these phenomena remains poorly understood.

Purpose of the Study:

  • To investigate how filament flexibility influences liquid-surface shape and capillary forces.
  • To quantify the effects of elastic deformation on capillary interactions.
  • To provide insights for applications involving wet fibrous materials.

Main Methods:

  • Analytical approximations and numerical solutions were used to model the fluid interface.
  • Equilibrium states for parallel and crossing filaments were calculated.
  • The elasto-capillary number was varied to assess the impact of filament flexibility.

Main Results:

  • Elastic deformation significantly affects liquid-surface shape and capillary force at high elasto-capillary numbers.
  • Capillary force increases sharply when parallel or crossing filaments come into contact.
  • Force behavior varies with liquid volume: continuous decrease for parallel, a maximum for crossed filaments.

Conclusions:

  • Filament flexibility is a critical factor in capillary interactions, impacting both shape and force.
  • The study quantifies the relationship between filament flexibility, liquid volume, and capillary force for different filament configurations.
  • Findings are relevant for optimizing processes in paper formation and flexible component welding.