Analysis of Stokes flow in microchannels with superhydrophobic surfaces containing a periodic array of micro-grooves

Microfluidics and Nanofluidics

Volumn 7, Issue 3, 2009, Pages 353-382

  Teo, C J ^a   Khoo, B C ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; APPLIED PRESSURE; CHANNEL WALL; CROSS FLOWS; FLOW DIRECTION; FLUID RESISTANCE; FREE FRACTION; LIMITING VALUES; MICRO-GROOVES; PERIODIC ARRAYS; SLIP LENGTH; STOKES FLOWS; SUPER-HYDROPHOBIC SURFACES;

BOUNDARY LAYER FLOW; HYDROPHOBICITY; MICROCHANNELS; NANOFLUIDICS; SURFACE PROPERTIES;

PRESSURE GRADIENT;

EID: 69249239125     PISSN: 16134982     EISSN: 16134990     Source Type: Journal    
DOI: 10.1007/s10404-008-0387-0     Document Type: Article

References (24)

1. Choi CH, Kim CJ (2006) Large slip of aqueous liquid flow over a nanoengineered superhydrophobic surface. Phys Rev Lett 96:066001
2. Choi CH, Ulmanella U, Kim J, Ho CM, Kim CJ (2006) Effective slip and friction reduction in nanograted superhydrophobic microchannels. Phys Fluids 18:087105
3. Cottin-Bizonne C, Barentin C, Charlaix E, Bocquet L, Barrat JL (2004) Dynamics of simple liquids at heterogeneous surfaces: Molecular-dynamics simulations and hydrodynamic description. Eur Phys J E 15:438-472
4. Davies J, Maynes D, Webb BW, Woolford B (2006) Laminar flow in a microchannel with superhydrophobic walls exhibiting transverse ribs. Phys Fluids 18:087110
5. De Gennes PG (2002) On fluid/wall slippage. Langmuir 18:3413-3414
6. Hendy SC, Lund NJ (2007) Effective slip boundary conditions for flows over nanoscale chemical heterogeneities. Phys Rev E 76:066313
7. Lauga E, Stone H (2003) Effective slip in pressure-driven Stokes flow. J Fluid Mech 489:55-77
8. Lee C, Choi C-H, Kim CJ (2008) Structured surfaces for a giant liquid slip. Phys Rev Lett 101:064501
9. Maynes D, Jeffs K, Woolford B, Webb W (2007) Laminar flow in a microchannel with hydrophobic surface patterned microribs oriented parallel to the flow direction. Phys Fluids 19:093603
10. Maynes D, Webb BW, Davies J (2008) Thermal transport in a microchannel exhibiting ultrahydrophobic microribs maintained at constant temperature. J Heat Transf 130:022402
11. Ou J, Rothstein JP (2005) Direct velocity measurements of the flow past drag-reducing ultrahydrophobic surfaces. Phys Fluids 17:103606
12. Ou J, Perot B, Rothstein JP (2004) Laminar drag reduction in microchannels using ultrahydrophobic surfaces. Phys Fluids 16:4635-4643
13. Ou J, Moss GR, Rothstein JP (2007) Enhanced mixing in laminar flows using ultrahydrophobic surfaces. Phys Rev E 76:016304
14. Philip R (1972a) Flows satisfying mixed no-slip and no-shear conditions. Z Angew Math Phys 23:353-372
15. Philip R (1972b) Integral properties of flows satisfying mixed no-slip and no-shear conditions. Z Angew Math Phys 23:960-968
16. Priezjev NV, Darhuber AA, Troian SM (2005) Slip behavior in liquid films on surfaces of patterned wettability: Comparison between continuum and molecular dynamics simulations. Phys Rev E 71:041608
17. Quere D, Lafuma A, Bico J (2003) Slippy and sticky microtextured solids. Nanotechnology 14:1109-1112
18. Sbragaglia M, Prosperetti A (2007) A note on the effective slip properties for microchannel flows with ultrahydrophobic surfaces. Phys Fluids 19:043603
19. Sneddon IN (1966) Mixed Boundary value problems in potential theory. North-Holland
20. Stroock AD, Dertinger SKW, Ajdari A, Mezic I, Stone HA, Whitesides GM (2002) Chaotic mixer for microchannels. Science 295:647-651
21. Truesdell R, Mammoli A, Vorobieff P, van Swol F, Jeffrey Brinker C (2006) Drag reduction on a patterned superhydrophobic surface. Phys Rev Lett 97:044504
22. Wang CY (2003) Flow over a surface with parallel grooves. Phys Fluids 15:1114-1121
23. Watanabe K, Udagawa Y, Udagawa H (1999) Drag reduction of Newtonion fluid in a circular pipe with a highly water-repellent wall. J Fluid Mech 381:225-238
24. Ybert C, Barentine C, Cottin-Bizonne C, Joseph P, Bocquet L (2007) Achieving large slip with superhydrophobic surfaces: Scaling laws for generic geometries. Phys Fluids 19:123601