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Physics of Fluids / Volume 18 / Issue 5 / LETTERS

Phys. Fluids 18, 051703 (2006); http://dx.doi.org/10.1063/1.2205307 (4 pages)

A theoretical prediction of friction drag reduction in turbulent flow by superhydrophobic surfaces

Koji Fukagata1, Nobuhide Kasagi1, and Petros Koumoutsakos2

1Department of Mechanical Engineering, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-8656, Japan
2Institute of Computational Science, ETH Zürich, CH-8092 Zürich, Switzerland

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(Received 12 February 2006; accepted 20 April 2006; published online 17 May 2006)

We present a theoretical prediction for the drag reduction rate achieved by superhydrophobic surfaces in a turbulent channel flow. The predicted drag reduction rate is in good agreement with results obtained from direct numerical simulations at Reτ ≃ 180 and 400. The present theory suggests that large drag reduction is possible also at Reynolds numbers of practical interest (Reτ ∼ 105–106) by employing a hydrophobic surface, which induces a slip length on the order of ten wall units or more.

© 2006 American Institute of Physics

ERRATUM

  1. Erratum: "A theoretical prediction of friction drag reduction in turbulent flow by superhydrophobic surfaces" [Phys. Fluids 18, 051703 (2006)]
    Koji Fukagata et al.
    Phys. Fluids 18, 089901 (2006)PHFLE6000018000008089901000001

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KEYWORDS and PACS

Keywords

drag reduction, friction, boundary layer turbulence, channel flow, flow simulation, slip flow

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.2205307

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    C.-H. Choi, K. J. A. Westin, and K. S. Breuer, "Apparent slip flow in hydrophilic and hydrophobic microchannels," Phys. Fluids 15, 2897 (2003)PHFLE6000015000010002897000001.

    J. Ou, B. Perot, and J. P. Rothstein, "Laminar drag reduction in microchannels using ultrahydrophobic surfaces," Phys. Fluids 16, 4635 (2004)PHFLE6000016000012004635000001.

    T. Min and J. Kim, "Effects of hydrophobic surface on skin-friction drag," Phys. Fluids 16, L55 (2004)PHFLE6000016000007000L55000001.

    J. Ou and J. P. Rothstein, "Direct velocity measurements of the flow past drag-reducing ultrahydrophobic surfaces," Phys. Fluids 17, 103606 (2005)PHFLE6000017000010103606000001.

    K. Iwamoto, K. Fukagata, N. Kasagi, and Y. Suzuki, "Friction drag reduction achievable by near-wall turbulence manipulation at high Reynolds numbers," Phys. Fluids 17, 011702 (2005)PHFLE6000017000001011702000001.

    R. D. Moser, J. Kim, and N. N. Mansour, "Direct numerical simulation of turbulent channel flow up to Retau=590," Phys. Fluids 11, 943 (1999)PHFLE6000011000004000943000001.


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