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Experiment-Simulation Comparison in Liquid Filling Process Driven by Capillarity.

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Summary

Researchers modified the Bosanquet equation to accurately model capillary-driven liquid filling in tubes. Incorporating air outflow, surface roughness, and a dynamic contact angle improved model-experiment correlation significantly.

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Area of Science:

  • Fluid dynamics
  • Capillary phenomena
  • Surface science

Background:

  • The Bosanquet equation is a foundational model for capillary-driven liquid filling.
  • Experimental observations of liquid filling in circular tubes show discrepancies with the standard Bosanquet equation.
  • Understanding these deviations is crucial for accurate process modeling.

Purpose of the Study:

  • To modify the Bosanquet equation to better align with experimental liquid filling data.
  • To investigate the impact of key physical factors on capillary filling dynamics.
  • To enhance the predictive accuracy of capillary filling models.

Main Methods:

  • Introduction of air outflow dynamics as a factor in liquid inflow.
  • Inclusion of hydraulic resistance attributed to inner tube surface roughness.
  • Consideration of the advancing contact angle's variation during the filling process.

Main Results:

  • The modified Bosanquet equation demonstrated strong agreement with experimental results.
  • The inclusion of air outflow, surface roughness, and advancing contact angle significantly improved model accuracy.
  • The coefficient of determination (R-squared) exceeded 0.99, indicating excellent fitting quality.

Conclusions:

  • The enhanced Bosanquet equation provides a more accurate representation of capillary-driven liquid filling.
  • The study highlights the importance of considering air-liquid dynamics, surface topography, and contact angle evolution.
  • The findings offer improved simulation capabilities for capillary filling processes in various applications.