A note on the effective slip properties for microchannel flows with ultrahydrophobic surfaces

被引:196
作者
Sbragaglia, M.
Prosperetti, A.
机构
[1] Univ Twente, IMPACT, Fac Sci Appl, NL-7500 AE Enschede, Netherlands
[2] Univ Twente, Burgerscentrum, NL-7500 AE Enschede, Netherlands
[3] Johns Hopkins Univ, Dept Mech Engn, Baltimore, MD 21218 USA
关键词
D O I
10.1063/1.2716438
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A type of superhydrophobic surface consists of a solid plane boundary with an array of grooves which, due to the effect of surface tension, prevent a complete wetting of the wall. The effect is greatest when the grooves are aligned with the flow. The pressure difference between the liquid and the gas in the grooves causes a curvature of the liquid surface resisted by surface tension. The effects of this surface deformation are studied in this paper. The corrections to the effective slip length produced by the curvature are analyzed theoretically and a comparison with available data and related mathematical models is presented. (c) 2007 American Inst of Phys.
引用
收藏
页数:8
相关论文
共 23 条
[11]   Effective slip in pressure-driven Stokes flow [J].
Lauga, E ;
Stone, HA .
JOURNAL OF FLUID MECHANICS, 2003, 489 :55-77
[12]  
Lauga E., 2007, HDB EXPT FLUID MECH
[13]   Ultrahydrophobic surfaces.: Effects of topography length scales on wettability [J].
Öner, D ;
McCarthy, TJ .
LANGMUIR, 2000, 16 (20) :7777-7782
[14]   Direct velocity measurements of the flow past drag-reducing ultrahydrophobic surfaces [J].
Ou, J ;
Rothstein, JP .
PHYSICS OF FLUIDS, 2005, 17 (10)
[15]   Laminar drag reduction in microchannels using ultrahydrophobic surfaces [J].
Ou, J ;
Perot, B ;
Rothstein, JP .
PHYSICS OF FLUIDS, 2004, 16 (12) :4635-4643
[16]   FLOWS SATISFYING MIXED NO-SLIP AND NO-SHEAR CONDITIONS [J].
PHILIP, JR .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1972, 23 (03) :353-372
[17]   Slip behavior in liquid films on surfaces of patterned wettability: Comparison between continuum and molecular dynamics simulations [J].
Priezjev, NV ;
Darhuber, AA ;
Troian, SM .
PHYSICAL REVIEW E, 2005, 71 (04)
[18]   Effective velocity boundary condition at a mixed slip surface [J].
Sbragaglia, M. ;
Prosperetti, A. .
JOURNAL OF FLUID MECHANICS, 2007, 578 :435-451
[19]   Surface roughness-hydrophobicity coupling in microchannel and nanochannel flows [J].
Sbragaglia, M. ;
Benzi, R. ;
Biferale, L. ;
Succi, S. ;
Toschi, F. .
PHYSICAL REVIEW LETTERS, 2006, 97 (20)
[20]  
Sneddon I. N., 1966, Mixed Boundary Value Problems in Potential Theory