Hydrodynamic friction of fakir-like superhydrophobic surfaces

Journal of Fluid Mechanics

Volumn 661, Issue , 2010, Pages 402-411

  Davis, Anthony M J ^a   Lauga, Eric ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

low Reynolds number flows; micro nano fluid dynamics

Indexed keywords

AIR; FRICTION; GEOMETRY; REYNOLDS NUMBER; SHEAR FLOW; SUPERHYDROPHOBICITY;

ANALYTICAL PREDICTIONS; HYDRODYNAMIC FRICTION; LOW REYNOLDS NUMBER FLOW; MICRO-/NANO-FLUID DYNAMICS; NUMERICAL COMPUTATIONS; QUANTITATIVE AGREEMENT; RECTANGULAR LATTICES; SUPER-HYDROPHOBIC SURFACES;

SURFACE PROPERTIES;

COMPUTATIONAL FLUID DYNAMICS; DRAG; FLUID DYNAMICS; FLUID FLOW; LAMINAR FLOW; NUMERICAL METHOD; REYNOLDS NUMBER; SHEAR FLOW;

EID: 78649958337     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010003460     Document Type: Article

References (30)

1. Bico, J., Marzolin, C. & Quéré, D. 1999 Pearl drops. Europhys. Lett. 47, 220-226.
2. Bocquet, L. & Barrat, J.-L. 2007 Flow boundary conditions: from nano- to micro-scales. Soft Matter 3, 685-693.
3. Choi, C. H. & Kim, C. J. 2006 Large slip of aqueous liquid flow over a nanoengineered superhydrophobic surface. Phys. Rev. Lett. 96, 066001.
4. Choi, C. H., Ulmanella, U., Kim, J., Ho, C. M. & Kim, C. J. 2006 Effective slip and friction reduction in nanograted superhydrophobic microchannels. Phys. Fluids 18, 087105.
5. Cottin-Bizonne, C., Barentin, C., Charlaix, E., Bocquet, L. & Barrat, J. L. 2004 Dynamics of simple liquids at heterogeneous surfaces: molecular-dynamics simulations and hydrodynamic description. Eur. Phys. J. E 15, 427-438.
6. Davies, J., Maynes, D., Webb, B. W. & Woolford, B. 2006 Laminar flow in a microchannel with superhydrophobic walls exhibiting transverse ribs. Phys. Fluids 18, 087110.
7. Davis, A. M. J. & Lauga, E. 2009 The friction of a mesh-like super-hydrophobic surface. Phys. Fluids 21, 113101.
8. Feng, L., Li, S. H., Li, Y. S., Li, H. J., Zhang, L. J., Zhai, J., Song, Y. L., Liu, B. Q., Jiang, L. & Zhu, D. B. 2002 Super-hydrophobic surfaces: from natural to artificial. Adv. Mater. 14, 1857-1860.
9. De Gennes F. Brochard-Wyart, P.-G. & Quéré, D. 2004 Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves. Springer.
10. Gogte, S., Vorobieff, P., Truesdell, R., Mammoli, A., van Swol, F., Shah, P. & Brinker, C. J. 2005 Effective slip on textured superhydrophobic surfaces. Phys. Fluids 17, 051701.
11. Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics. Prentice Hall.
12. Hasimoto, H. 1959 On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres. J. Fluid Mech. 5, 317-328.
13. Joseph, P., Cottin-Bizonne, C., Benoit, J. M., Ybert, C., Journet, C., Tabeling, P. & Bocquet, L. 2006 Slippage of water past superhydrophobic carbon nanotube forests in microchannels. Phys. Rev. Lett. 97, 156104.
14. Lauga, E., Brenner, M. P. & Stone, H. A. 2007 Microfluidics: the no-slip boundary condition. In Handbook of Experimental Fluid Dynamics (ed. A. Yarin, C. Tropea & J. F. Foss), Chap. 19, pp. 1219-1240. Springer.
15. Lauga, E. & Stone, H. A. 2003 Effective slip in pressure-driven Stokes flow. J. Fluid Mech. 489, 55-77.
16. Lee, C., Choi, C. H. & Kim, C. J. 2008 Structured surfaces for a giant liquid slip. Phys. Rev. Lett. 101, 064501.
17. Maynes, D., Jeffs, K., Woolford, B. & Webb, B. W. 2007 Laminar flow in a microchannel with hydrophobic surface patterned microribs oriented parallel to the flow direction. Phys. Fluids 19, 093603.
18. Neto, C., Evans, D. R., Bonaccurso, E., Butt, H.-J. & Craig, V. S. J. 2005 Boundary slip in Newtonian liquids: a review of experimental studies. Rep. Prog. Phys. 68, 2859-2897.
19. Ng, C.-O. & Wang, C. Y. 2009 Stokes shear flow over a grating: implications for superhydrophobic slip. Phys. Fluids 21, 013602.
20. Ng, C.-O. & Wang, C. Y. 2010 Apparent slip arising from Stokes shear flow over a bidimensional patterned surface. Microfluid Nanofluid 8, 361-371.
21. Onda, T., Shibuichi, S., Satoh, N. & Tsujii, K. 1996 Super-water-repellent fractal surfaces. Langmuir 12, 2125-2127.
22. Ou, J., Perot, B. & Rothstein, J. P. 2004 Laminar drag reduction in microchannels using ultrahydrophobic surfaces. Phys. Fluids 16, 4635-4643.
23. Ou, J. & Rothstein, J. P. 2005 Drag reduction and μ -PIV measurements of the flow past ultrahydrophobic surfaces. Phys. Fluids 17, 103606.
24. Quéré, D. 2008 Wetting and roughness. Annu. Rev. Fluid Mech. 38, 71-99.
25. Roach, P., Shirtcliffe, N. J. & Newton, M. I. 2008 Progress in superhydrophobic surface development. Soft Matter 4, 224-240.
26. Rothstein, J. P. 2010 Slip on superhydrophobic surfaces. Annu. Rev. Fluid Mech. 42, 89-109.
27. Teo, C. J. & Khoo, B. C. 2009 Analysis of Stokes flow in microchannels with superhydrophobic surfaces containing a periodic array of micro-grooves. Microfluid Nanofluid 7, 353-382.
28. Truesdell, R., Mammoli, A., Vorobieff, P., van Swol, F. & Brinker, C. J. 2006 Drag reduction on a patterned superhydrophobic surface. Phys. Rev. Lett. 97, 044504.
29. Tsai, P. C., Peters, A. M., Pirat, C., Wessling, M., Lammertink, R. G. H. & Lohse, D. 2009 Quantifying effective slip length over micropatterned hydrophobic surfaces. Phys. Fluids 21, 112002.
30. Ybert, C., Barentin, C., Cottin-Bizonne, C., Joseph, P. & Bocquet, L. 2007 Achieving large slip with superhydrophobic surfaces: scaling laws for generic geometries. Phys. Fluids 19, 123601.