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Surface roughness and hydrodynamic boundary conditions

Olga I. Vinogradova and Gleb E. Yakubov
Phys. Rev. E 73, 045302(R) – Published 27 April 2006

Abstract

We report results of investigations of a high-speed drainage of thin aqueous films squeezed between randomly nanorough surfaces. A significant decrease in the hydrodynamic resistance force as compared with that predicted by Taylor’s equation is observed. However, this reduction in force does not represent the slippage. The measured force is exactly the same as that between equivalent smooth surfaces obeying no-slip boundary conditions, but located at the intermediate position between peaks and valleys of asperities. The shift in hydrodynamic thickness is shown to be independent of the separation and/or shear rate. Our results disagree with previous literature data reporting very large and shear-dependent boundary slip for similar systems.

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  • Received 25 September 2005

DOI:https://doi.org/10.1103/PhysRevE.73.045302

©2006 American Physical Society

Authors & Affiliations

Olga I. Vinogradova* and Gleb E. Yakubov

  • Max Planck Institute for Polymer Research, Ackermannweg 10, 55128 Mainz, Germany and A. N. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, 31 Leninsky Prospect, 119991 Moscow, Russia

  • *Corresponding author; email address: vinograd@mpip-mainz.mpg.de
  • Present address: Corporate Physical and Engineering Sciences, Unilever, R&D Colworth Sharnbrook, Bedfordshire MK44 1LQ, U.K.

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Issue

Vol. 73, Iss. 4 — April 2006

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