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Enhanced slip on a patterned substrate due to depinning of contact line

Phys. Fluids 21, 102102 (2009); doi:10.1063/1.3254253

Published 26 October 2009

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Peng Gao1 and James J. Feng1,2
1Department of Chemical and Biological Engineering, University of British Columbia, Vancouver, British Columbia V6T 1Z3, Canada
2Department of Mathematics, University of British Columbia, Vancouver, British Columbia V6T 1Z2, Canada
We perform numerical simulations of a shear flow over a periodically patterned substrate with entrapped gas bubbles. A diffuse-interface model is employed to handle the liquid-gas interface deformation and the three-phase contact line. Depending on the shear rate and the pattern geometry, four flow regimes are observed. The contact lines can be pinned, depinned, or eliminated depending on the competition between the shear force and the surface tension. The effective slip length is found to be dependent on the morphology of the menisci and hence on the shear rate. In particular, the bubbles are transformed into a continuous gas film when the shear rate is larger than a critical value, resulting in a significantly enhanced slip length proportional to the liquid-gas viscosity ratio. The present results have interesting implications for effective slip on superhydrophobic surfaces. ©2009 American Institute of Physics
History: Received 14 June 2009; accepted 6 October 2009; published 26 October 2009
Permalink: http://link.aip.org/link/?PHFLE6/21/102102/1
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KEYWORDS and PACS

Keywords
PACS
  • 47.45.Gx
    Slip flows and accomodation in fluid dynamics
  • 02.60.-x
    Numerical approximation and analysis
  • 68.03.Cd
    Surface tension and related phenomena
  • 47.55.D-
    Drops and bubbles
  • 66.20.-d
    Viscosity of liquids; diffusive momentum transport
  • 83.50.-v
    Deformation and flow
  • YEAR: 2009

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PUBLICATION DATA

ISSN:
1070-6631 (print)   1089-7666 (online)
Publisher:
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