Random-Roughness Hydrodynamic Boundary Conditions

被引：57

作者：

Kunert, Christian ^{[1
]}

Harting, Jens ^{[1
,2
]}

Vinogradova, Olga I. ^{[3
,4
]}

机构：

[1] Univ Stuttgart, Inst Computat Phys, D-70569 Stuttgart, Germany

[2] Eindhoven Univ Technol, Dept Appl Phys, NL-5600 MB Eindhoven, Netherlands

[3] Russian Acad Sci, AN Frumkin Inst Phys Chem & Electrochem, Moscow 119991, Russia

[4] Rhein Westfal TH Aachen, ITMC & DWI, D-52056 Aachen, Germany

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 105卷 / 01期

关键词：

LATTICE-BOLTZMANN SIMULATIONS; HYDROPHOBIC SURFACES; SLIP; FLUID; TRANSITION; SPHERE; FORCE;

D O I：

10.1103/PhysRevLett.105.016001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report results of lattice Boltzmann simulations of a high-speed drainage of liquid films squeezed between a smooth sphere and a randomly rough plane. A significant decrease in the hydrodynamic resistance force as compared with that predicted for two smooth surfaces is observed. However, this force reduction does not represent slippage. The computed force is exactly the same as that between equivalent smooth surfaces obeying no-slip boundary conditions, but located at an intermediate position between peaks and valleys of asperities. The shift in hydrodynamic thickness is shown to depend on the height and density of roughness elements. Our results do not support some previous experimental conclusions on a very large and shear-dependent boundary slip for similar systems.

引用

页数：4

共 30 条

[1] Boundary slip as a result of a prewetting transition [J].

Andrienko, D ;

Dünweg, B ;

Vinogradova, OI .

JOURNAL OF CHEMICAL PHYSICS, 2003, 119 (24) :13106-13112

[2] Large slip effect at a nonwetting fluid-solid interface [J].

Barrat, JL ;

Bocquet, L .

PHYSICAL REVIEW LETTERS, 1999, 82 (23) :4671-4674

[3] Surface roughness and hydrodynamic boundary slip of a newtonian fluid in a completely wetting system [J].

Bonaccurso, E ;

Butt, HJ ;

Craig, VSJ .

PHYSICAL REVIEW LETTERS, 2003, 90 (14) :4

[4] THE SLOW MOTION OF A SPHERE THROUGH A VISCOUS FLUID TOWARDS A PLANE SURFACE [J].

BRENNER, H .

CHEMICAL ENGINEERING SCIENCE, 1961, 16 (3-4) :242-251

[5] Boundary slip on smooth hydrophobic surfaces: Intrinsic effects and possible artifacts [J].

Cottin-Bizonne, C ;

Cross, B ;

Steinberger, A ;

Charlaix, E .

PHYSICAL REVIEW LETTERS, 2005, 94 (05)

[6] Multiple-relaxation-time lattice Boltzmann models in three dimensions [J].

d'Humières, D ;

Ginzburg, I ;

Krafczyk, M ;

Lallemand, P ;

Luo, LS .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2002, 360 (1792) :437-451

[7] Hydrodynamic resistance of close-approached slip surfaces with a nanoasperity or an entrapped nanobubble [J].

Fan, TH ;

Vinogradova, OI .

PHYSICAL REVIEW E, 2005, 72 (06)

[8] Effective Slip over Superhydrophobic Surfaces in Thin Channels [J].

Feuillebois, Francois ;

Bazant, Martin Z. ;

Vinogradova, Olga I. .

PHYSICAL REVIEW LETTERS, 2009, 102 (02)

[9] Slippery questions about complex fluids flowing past solids [J].

Granick, S ;

Zhu, YX ;

Lee, H .

NATURE MATERIALS, 2003, 2 (04) :221-227

[10] Lattice Boltzmann simulations of apparent slip in hydrophobic microchannels [J].

Harting, J. ;

Kunert, C. ;

Herrmann, H. J. .

EUROPHYSICS LETTERS, 2006, 75 (02) :328-334

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