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Surface roughness and hydrodynamic boundary conditions.

Olga I Vinogradova1, Gleb E Yakubov

  • 1Max Planck Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany. vinograd@mpip-maimz.mpg.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 23, 2006
PubMed
Summary

High-speed drainage of thin aqueous films between nanorough surfaces shows reduced force, not due to slippage. The observed force matches smooth surfaces, indicating a shift in effective boundary location.

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Area of Science:

  • Fluid Dynamics
  • Tribology
  • Surface Science

Background:

  • Understanding fluid behavior in confined spaces with rough surfaces is crucial for various applications.
  • Previous studies suggested significant boundary slip for thin films on nanorough surfaces.

Purpose of the Study:

  • To investigate the hydrodynamic resistance of thin aqueous films squeezed between randomly nanorough surfaces.
  • To determine the underlying mechanism for the observed reduction in hydrodynamic force.

Main Methods:

  • Experimental investigation of high-speed drainage of thin aqueous films.
  • Measurement of hydrodynamic resistance force.
  • Comparison of experimental data with theoretical predictions (e.g., Taylor's equation).

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Main Results:

  • A significant decrease in hydrodynamic resistance force was observed compared to Taylor's equation predictions.
  • The reduction in force was attributed to the effective location of the no-slip boundary within the surface asperities, not to boundary slip.
  • The shift in hydrodynamic thickness was found to be independent of separation and shear rate.

Conclusions:

  • The apparent reduction in hydrodynamic force is an artifact of surface topography, not true boundary slip.
  • Results contradict previous literature suggesting significant, shear-dependent slip in similar systems.
  • The effective boundary condition in such systems is governed by the geometry of nanoroughness.