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Analysis and Simulation of Heat Transfer in a Superhydrophobic Microchannel

[+] Author Affiliations
Ryan Enright

University of Limerick, Limerick, Ireland

Marc Hodes

Tufts University, Medford, MA

Todd R. Salamon

Alcatel-Lucent, Murray Hill, NJ

Yuri Muzychka

Memorial University of Newfoundland, St. John’s, NL, Canada

Paper No. IHTC14-22948, pp. 157-168; 12 pages
doi:10.1115/IHTC14-22948
From:
  • 2010 14th International Heat Transfer Conference
  • 2010 14th International Heat Transfer Conference, Volume 6
  • Washington, DC, USA, August 8–13, 2010
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 978-0-7918-4941-5 | eISBN: 978-0-7918-3879-2
  • Copyright © 2010 by ASME

abstract

The transport behavior of a superhydrophobic Hele-Shaw channel subject to arbitrary velocity slip, temperature slip, and constant heat flux boundary conditions is analyzed, resulting in a general expression for the Nusselt number. The results of a scaling analysis and numerical simulation are then presented characterizing the thermal behavior of an idealized pillar-structured superhydrophobic surface in the low pillar concentration limit that treats the trapped gas phase as adiabatic. When thermal behavior is uncoupled from the flow, the temperature slip length is shown to follow the same φs −1/2 dependency on pillar solid fraction as the velocity slip length. Further analysis and simulation including the effects of Marangoni stress, so that the thermal and flow fields are no longer decoupled, yields a further geometric scaling parameter. It is demonstrated that the apparent slip length may be increased against an adverse channel temperature gradient due to the local non-equilibrium of temperature in the vicinity of each pillar.

Copyright © 2010 by ASME

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