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

Koji Fukagata; Nobuhide Kasagi; Petros Koumoutsakos

doi:10.1063/1.2205307

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

Koji Fukagata, Nobuhide Kasagi, Petros Koumoutsakos

Research output: Contribution to journal › Article › peer-review

184 Citations (Scopus)

Abstract

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 Re_τ ≃ 180 and 400. The present theory suggests that large drag reduction is possible also at Reynolds numbers of practical interest (Re_τ ∼10⁵-10⁶ by employing a hydrophobic surface, which induces a slip length on the order of ten wall units or more.

Original language	English
Article number	051703
Journal	Physics of Fluids
Volume	18
Issue number	5
DOIs	https://doi.org/10.1063/1.2205307
Publication status	Published - 2006 May
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.2205307

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abstract = "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.",

author = "Koji Fukagata and Nobuhide Kasagi and Petros Koumoutsakos",

note = "Funding Information: This work was supported through the 21st Century COE Program, “Mechanical Systems Innovation,” by the Ministry of Education, Culture, Sports, Science and Technology of Japan (MEXT). P.K. wishes to gratefully acknowledge the support of the 21st Century COE Program during his sabbatical at the University of Tokyo.",

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N2 - 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.

AB - 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.

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

Abstract

ASJC Scopus subject areas

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