Review article: Measurement of slip length on superhydrophobic surfaces

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 370, Issue 1967, 2012, Pages 2304-2320

  Maali, A ^a   Bhushan, B ^b  

^a UMR 5798   (France)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

Atomic force microscopy; Fluid slip; Particle image velocimetry; Pressure drop; Rheometry; Surface force apparatus

Indexed keywords

ATOMIC FORCE MICROSCOPY; FLOW VISUALIZATION; HYDROPHOBICITY; PRESSURE DROP; RHEOMETERS; VELOCIMETERS; VELOCITY MEASUREMENT;

FLUID SLIP; LIQUID FLOW; PARTICLE IMAGE VELOCIMETRIES; RHEOMETRY; SLIP LENGTH; SUPER-HYDROPHOBIC SURFACES; SURFACE FORCE APPARATUS; TECHNIQUES USED; THEORETICAL MODELS;

SURFACE PROPERTIES;

EID: 84860625161     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2011.0505     Document Type: Review

References (37)

1. Churaev, N. V., Sobolev, V. D. & Somov, A. N. 1984 Slippage of liquids over lyophobic solid-surfaces. J. Colloid Interf. Sci. 97, 574-581. (doi:10.1016/0021-9797(84)90330-8)
2. Lauga, E., Brenner, M. P. & Stone, H. A. 2005 Microfluidics: the no-slip boundary condition. In Handbook of experimental fluid dynamics, ch. 15. New York, NY: Springer.
3. 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. (doi:10.1088/0034-4885/68/12/R05) (Pubitemid 41435120)
4. Maali, A. & Bhushan, B. 2008 Nanorheology and boundary slip in confined liquids using atomic force microscopy. J. Phys.: Condens. Matter 20, 315201. (doi:10.1088/0953-8984/20/31/315201)
5. Bocquet, L. & Charlaix, E. 2010 Nanofluidics, from bulk to interfaces. Chem. Soc. Rev. 39, 1073-1095. (doi:10.1039/b909366b)
6. Bocquet, L. & Barrat, J.-L. 2007 Flow boundary conditions from nano-to micro-scales. Soft Matter 3, 685-693. (doi:10.1039/b616490k) (Pubitemid 46794175)
7. Wang, Y. & Bhushan, B. 2009 Boundary slip and nanobubble study in micro/nanofluidics using atomic force microscopy. Soft Matter 6, 29-66. (doi:10.1039/b917017k)
8. Rothstein, J. P. 2010 Slip on superhydrophobic surfaces. Annu. Rev. Fluid Mech. 42, 89-109. (doi:10.1146/annurev-fluid-121108-145558)
9. Philip, J. R. 1972 Flows satisfying mixed no-slip and no-shear conditions. Z. Angew. Math. Phys. 23, 353-372. (doi:10.1007/BF01595477)
10. Philip, J. R. 1972 Integral properties of flows satisfying mixed no-slip and no-shear conditions. Z. Angew. Math. Phys. 23, 960-968. (doi:10.1007/ BF01596223)
11. Lauga, E. & Stone, H. A. 2003 Effective slip in pressure-driven stokes flow. J. Fluid Mech. 489, 55-77. (doi:10.1017/S0022112003004695) (Pubitemid 37111098)
12. Cottin-Bizonne, C., Barentin, C., Charlaix, É., 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. (doi:10.1140/epje/i2004-10061-9) (Pubitemid 40134684)
13. 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. (doi:10.1063/1.2815730)
14. Davis, A. M. J. & Lauga, E. 2010 Hydrodynamic friction of fakir-like superhydrophobic surfaces. J. Fluid Mech. 661, 402-411. (doi:10.1017/ S0022112010003460)
15. Lee, C., Choi, C.-H. & Kim, C.-J. 2008 Structured surfaces for a giant liquid slip. Phys. Rev. Lett. 101, 064501. (doi:10.1103/PhysRevLett.101. 064501)
16. Lee, C. & Kim, C.-J. 2009 Maximizing the giant liquid slip on superhydrophobic microstructures by nanostructuring their sidewalls. Langmuir 25, 12812-12 818. (doi:10.1021/la901824d)
17. Lee, C. & Kim, C.-J. 2011 Influence of surface hierarchy of superhydrophobic surfaces on liquid slip. Langmuir 27, 4243-4248. (doi:10.1021/la104368v)
18. Ming, Z., Jian, L., Chunxia, W., Xiaokang, Z. & Lan, C. 2011 Fluid drag reduction on superhydrophobic surfaces coated with carbon nanotube forests (CNTs). Soft Matter 7, 4391-4396. (doi:10.1039/c0sm01426e)
19. Choi, C.-H. & Kim, C.-J. 2006 Large slip of aqueous liquid flow over a nanoengineered superhydrophobic surface. Phys. Rev. Lett. 96, 066001. (doi:10.1103/PhysRevLett.96.066001) (Pubitemid 43271049)
20. Bocquet, L., Tabeling, P. & Manneville, S. 2006 Comment on 'Large slip of aqueous liquid flow over a nanoengineered superhydrophobic surface'. Phys. Rev. Lett. 97, 109601. (doi:10.1103/PhysRevLett.97.109601) (Pubitemid 44359810)
21. Ou, J. & Rothstein, J. P. 2005 Direct velocity measurements of the flow past drag-reducing ultrahydrophobic surfaces. Phys. Fluids 17, 103606. (doi:10.1063/1.2109867)
22. Joseph, P., Cottin-Bizonne, C., Benoît, 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. (doi:10.1103/PhysRevLett.97.156104) (Pubitemid 44547770)
23. 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. (doi:10.1103/PhysRevLett. 97.044504)
24. Navier, C. L. M. H. 1823 Mémoire sur les lois du mouvement des fluids. Mem. Acad. R. Sci. Inst. France 6, 389-416.
25. Nosonovsky, M. & Bhushan, B. 2008 Multiscale dissipative mechanisms and hierarchical surfaces: friction, superhydrophobicity, and biomimetics. Heidelberg, Germany: Springer.
26. Ou, J., Perot, B. & Rothstein, J. P. 2004 Laminar drag reduction in microchannels using ultrahydrophobic surfaces. Phys. Fluids 16, 4635. (doi:10.1063/1.1812011) (Pubitemid 41015843)
27. Steinberger, A., Cottin-Bizonne, C., Kleimann, P. & Charlaix, E. 2007 High friction on a bubble mattress. Nat. Mater. 6, 665-668. (doi:10.1038/nmat1962) (Pubitemid 47359550)
28. Steinberger, A., Cottin-Bizonne, C., Kleimann, P. & Charlaix, E. 2008 Nanoscale flow on a bubble mattress: effect of surface elasticity. Phys. Rev. Lett. 100, 134501. (doi:10.1103/PhysRev Lett.100.134501)
29. Hyväluoma, J. & Harting, J. 2008 Slip flow over structured surfaces with entrapped microbubbles. Phys. Rev. Lett. 100, 246001. (doi:10.1103/PhysRevLett.100.246001)
30. Richardson, S. 1973 On the no-slip boundary condition. J. Fluid. Mech. 59, 707-719. (doi:10.1017/S0022112073001801)
31. Bhushan, B., Wang, Y. & Maali, A. 2009 Boundary slip study on hydrophilic, hydrophobic, and superhydrophobic surfaces with dynamic atomic force microscopy. Langmuir 25, 8117-8121. (doi:10.1021/la900612s)
32. Jai, C., Cohen-Bouhacina, T. & Maali, A. 2007 Analytical description of the motion of an acoustic-driven atomic force microscope cantilever in liquid. Appl. Phys. Lett. 90, 113512. (doi:10.1063/1.2713860) (Pubitemid 46439855)
33. Vinogradova, O. I. 1995 Drainage of a thin liquid-film confined between hydrophobic surfaces. Langmuir 11, 2213-2220. (doi:10.1021/la00006a059)
34. Asmolov, E. S., Belyaev, A. V. & Vinogradova, O. I. 2011 Drag force on a sphere moving toward an anisotropic superhydrophobic plane. Phys. Rev. E 84, 026330. (doi:10.1103/PhysRevE.84. 026330)
35. Bhushan, B. & Ling, X. 2008 Integrating electrowetting into micromanipulation of liquid droplets. J. Phys: Condens. Matter 20, 485009. (doi:10.1088/0953-8984/20/48/485009)
36. Bhushan, B. & Pan, Y. 2011 Role of electric field on surface wetting of polystyrene surface. Langmuir 27, 9425-9429. (doi:10.1021/1.2016369)
37. Daniello, R. J., Waterhouse, N. E. & Rothstein, J. P. 2009 Drag reduction in turbulent flows over superhydrophobic surfaces. Phys. Fluids 21, 085103. (doi:10.1063/1.3207885)