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Quantifying hydrodynamic slip: a comprehensive analysis of dewetting profiles.

R Fetzer1, A Münch, B Wagner

  • 1Department of Experimental Physics, Saarland University, D-66123 Saarbrücken, Germany. renate.fetzer@unisa.edu.au

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Summary

This study introduces a new method to measure liquid slip length and fluid viscosity using a thin film dewetting model. The approach analyzes retracting liquid fronts to extract these crucial properties for understanding liquid-solid interactions.

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Area of Science:

  • Fluid dynamics
  • Surface science
  • Materials science

Background:

  • Characterizing liquid-solid interactions is crucial for understanding various physical phenomena.
  • Slip length is a key parameter for describing nontrivial boundary conditions in fluid flow.
  • Existing methods for slip length extraction often rely on simplified models.

Purpose of the Study:

  • To develop and validate a model for extracting slip length and fluid viscosity from dewetting thin liquid films.
  • To provide a practical guide for analyzing experimental data of retracting liquid fronts.

Main Methods:

  • Utilized a lubrication model derived from the Stokes model for strong slippage.
  • Linearized the thin film profile and expanded the model for small slopes up to third order.
  • Analyzed the profile of a retracting liquid front, often measured with atomic force microscopy.

Main Results:

  • Successfully extracted slip length and capillary number from the liquid front profile.
  • Demonstrated the ability to estimate fluid film viscosity from the capillary number.
  • Validated the model's consistency and accuracy by comparing numerical and experimental results.

Conclusions:

  • The developed model offers a robust method for characterizing liquid slip and viscosity in thin films.
  • The approach provides a valuable tool for experimentalists studying fluid-solid interfaces.
  • This work enhances the understanding of dewetting phenomena and boundary conditions in microfluidics.