Electrokinetic flows over inhomogeneously slipping surfaces

Physics of Fluids

Volumn 20, Issue 9, 2008, Pages

  Squires, Todd M ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRODYNAMICS; ELECTROOSMOSIS; HYDROPHOBICITY; NANOFLUIDICS; PHASE INTERFACES; SURFACE CHEMISTRY;

EFFECTIVE SLIP LENGTHS; ELECTROKINETIC EFFECT; ELECTROKINETIC FLOWS; ELECTROKINETIC PUMPS; ELECTROOSMOTIC FLOW; RECIPROCAL THEOREM; SUPER-HYDROPHOBIC SURFACES; SURFACE CONDUCTION;

SHEAR FLOW;

EID: 53549124942     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2978954     Document Type: Article

References (45)

1. E. Lauga, M. P. Brenner, and H. A. Stone, "Microfluidics: The no-slip boundary condition," in Handbook of Experimental Fluid Dynamics, edited by C. Tropea, A. Yarin, and J. F. Foss (Springer, New York, 2007), pp. 1219-1240.
2. L. G. Leal, Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes (Cambridge University Press, Cambridge, England, 2007).
3. C. Neto, D. R. Evans, E. Bonaccurso, H. J. Butt, and V. S. J. Craig, "Boundary slip in Newtonian liquids: A review of experimental studies," Rep. Prog. Phys. RPPHAG0034-488510.1088/0034-4885/68/12/ R05 68, 2859 (2005).
4. O. I. Vinogradova, "Slippage of water over hydrophobic surfaces," Int. J. Min. Process. IJMPBL0301-751610.1016/ S0301-7516(98)00041-6 56, 31 (1999).
5. S. Granick, Y. X. Zhu, and H. Lee, "Slippery questions about complex fluids flowing past solids," Nat. Mater. NMAACR1476-112210.1038/nmat854 2, 221 (2003).
6. J. Eijkel, "Liquid slip in micro- and nanofluidics: Recent research and its possible implications," Lab Chip LCAHAM1473-019710.1039/ b700364c 7, 299 (2007).
7. L. Bocquet and J. L. Barrat, "Flow boundary conditions from nano- to micro-scales," Soft Matter SMOABF1744-683X10.1039/b616490k 3, 685 (2007).
8. C. Cottin-Bizonne, J. L. Barrat, L. Bocquet, and E. Charlaix, "Low-friction flows of liquid at nanopatterned interfaces," Nat. Mater. NMAACR1476-112210.1038/nmat857 2, 237 (2003).
9. J. L. Barrat and L. Bocquet, "Large slip effect at a nonwetting fluid-solid interface," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.82.4671 82, 4671 (1999).
10. E. Ruckenstein and P. Rajora, "On the no-slip boundary-condition of hydrodynamics," J. Colloid Interface Sci. JCISA50021-979710.1016/ 0021-9797(83)90050-4 96, 488 (1983).
11. O. I. Vinogradova, "Drainage of a thin liquid-film confined between hydrophobic surfaces," Langmuir LANGD50743-746310.1021/la00006a059 11, 2213 (1995).
12. P. G. de Gennes, "On fluid/wall slippage," Langmuir LANGD50743-746310.1021/la0116342 18, 3413 (2002).
13. E. Lauga and M. P. Brenner, "Dynamic mechanisms for apparent slip on hydrophobic surfaces," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.70.026311 70, 026311 (2004).
14. O. I. Vinogradova, N. F. Bunkin, N. V. Churaev, O. A. Kiseleva, A. V. Lobeyev, and B. W. Ninham, "Submicrocavity structure of water between hydrophobic and hydrophilic walls as revealed by optical cavitation," J. Colloid Interface Sci. JCISA50021-979710.1006/ jcis.1995.1345 173, 443 (1995).
15. N. Ishida, T. Inoue, M. Miyahara, and K. Higashitani, "Nano bubbles on a hydrophobic surface in water observed by tapping-mode atomic force microscopy," Langmuir LANGD50743-746310.1021/la000219r 16, 6377 (2000).
16. J. W. G. Tyrrell and P. Attard, "Images of nanobubbles on hydrophobic surfaces and their interactions," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.87.176104 87, 176104 (2001).
17. S. J. Yang, S. M. Dammer, N. Bremond, H. J. W. Zandvliet, E. S. Kooij, and D. Lohse, "Characterization of nanobubbles on hydrophobic surfaces in water," Langmuir LANGD50743-746310.1021/la070004i 23, 7072 (2007).
18. S. Richardson, "On the no-slip boundary-condition," J. Fluid Mech. JFLSA70022-112010.1017/S0022112073001801 59, 707 (1973).
19. A. Steinberger, C. Cottin-Bizonne, P. Kleimann, and E. Charlaix, "High friction on a bubble mattress," Nat. Mater. NMAACR1476-112210.1038/nmat1962 6, 665 (2007).
20. A. B. D. Cassie and S. Baxter, "Wettability of porous surfaces," Trans. Faraday Soc. TFSOA40014-767210.1039/tf9444000546 40, 546 (1944).
21. J. Ou, B. Perot, and J. P. Rothstein, "Laminar drag reduction in microchannels using ultrahydrophobic surfaces," Phys. Fluids PHFLE61070-663110.1063/1.1812011 16, 4635 (2004).
22. J. Ou and J. P. Rothstein, "Direct velocity measurements of the flow past drag-reducing ultrahydrophobic surfaces," Phys. Fluids PHFLE61070-663110.1063/1.2109867 17, 103606 (2005).
23. P. Joseph, C. Cottin-Bizonne, J. M. Benoit, C. Ybert, C. Journet, P. Tabeling, and L. Bocquet, "Slippage of water past superhydrophobic carbon nanotube forests in microchannels," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.97.156104 97, 156104 (2006).
24. J. R. Philip, "Integral properties of flows satisfying mixed no-slip and no-shear conditions," Z. Angew. Math. Phys. ZAMPA80044-227510.1007/BF01596223 23, 960 (1972).
25. J. R. Philip, "Flows satisfying mixed no-slip and no-shear conditions," Z. Angew. Math. Phys. ZAMPA80044-227510.1007/ BF01595477 23, 353 (1972).
26. E. Lauga and H. A. Stone, "Effective slip in pressure-driven Stokes flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112003004695 489, 55 (2003).
27. S. C. Hendy and N. J. Lund, "Effective slip boundary conditions for flows over nanoscale chemical heterogeneities," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.76.066313 76, 066313 (2007).
28. C. Ybert, C. Barentin, C. Cottin-Bizonne, P. Joseph, and L. Bocquet, "Achieving large slip with superhydrophobic surfaces: Scaling laws for generic geometries," Phys. Fluids PHFLE61070-663110.1063/ 1.2815730 19, 123601 (2007).
29. T. M. Squires and S. R. Quake, "Microfluidics: Fluid physics at the nanoliter scale," Rev. Mod. Phys. RMPHAT0034-686110.1103/ RevModPhys.77.977 77, 977 (2005).
30. H. A. Stone, A. D. Stroock, and A. Ajdari, "Engineering flows in small devices: Microfluidics toward a lab-on-a-chip," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.36.050802.122124 36, 381 (2004).
31. V. M. Muller, I. P. Sergeeva, V. D. Sobolev, and N. V. Churaev, "Boundary effects in the theory of electrokinetic phenomena," Colloid J. USSR COJOA50010-1303 48, 606 (1986).
32. L. Joly, C. Ybert, E. Trizac, and L. Bocquet, "Hydrodynamics within the electric double layer on slipping surfaces," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.93.257805 93, 257805 (2004).
33. A. Ajdari and L. Bocquet, "Giant amplification of interfacially driven transport by hydrodynamic slip: Diffusio-osmosis and beyond," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.96.186102 96, 186102 (2006).
34. C. I. Bouzigues, P. Tabeling, and L. Bocquet, "Nanofluidics in the Debye layer at hydrophilic and hydrophobic surfaces," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.101.114503 101, 114503 (2008).
35. J. D. Sherwood and H. A. Stone, "Electrophoresis of a thin charged disk," Phys. Fluids PHFLE61070-663110.1063/1.868595 7, 697 (1995).
36. E. Brunet and A. Ajdari, "Generalized Onsager relations for electrokinetic effects in anisotropic and heterogeneous geometries," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.69.016306 69, 016306 (2004).
37. F. A. Morrison and J. F. Osterle, "Electrokinetic energy conversion in ultrafine capillaries," J. Chem. Phys. JCPSA60021-960610.1063/ 1.1697081 43, 2111 (1965).
38. D. S. Reichmuth, G. S. Chirica, and B. J. Kirby, "Increasing the performance of high-pressure, high-efficiency electrokinetic micropumps using zwitterionic solute additives," Sens. Actuators B SABCEB0925-400510.1016/S0925-4005(03)00128-X 92, 37 (2003).
39. S. H. Yao and J. G. Santiago, "Porous glass electroosmotic pumps: Theory," J. Colloid Interface Sci. JCISA50021-979710.1016/ S0021-9797(03)00731-8 268, 133 (2003).
40. S. H. Yao, D. E. Hertzog, S. L. Zeng, J. C. Mikkelsen, and J. G. Santiago, "Porous glass electroosmotic pumps: Design and experiments," J. Colloid Interface Sci. JCISA50021-979710.1016/ S0021-9797(03)00730-6 268, 143 (2003).
41. D. J. Laser and J. G. Santiago, "A review of micropumps," J. Micromech. Microeng. JMMIEZ0960-131710.1088/0960-1317/14/6/R01 14, R35 (2004).
42. J. Lyklema, Fundamentals of Interface and Colloid Science (Academic, London, 1995), Vol. 2.
43. A. S. Khair and T. M. Squires, "Fundamental aspects of concentration polarization arising from nonuniform electrokinetic transport," Phys. Fluids PHFLE61070-663110.1063/1.2963507 20, 087102 (2008).
44. S. Pennathur, J. C. T. Eijkel, and A. van den Berg, "Energy conversion in microsystems: Is there a role for micro/ nanofluidics?" Lab Chip LCAHAM1473-019710.1039/b712893m 7, 1234 (2007).
45. F. H. J. van der Heyden, D. J. Bonthuis, D. Stein, C. Meyer, and C. Dekker, "Electrokinetic energy conversion efficiency in nanofluidic channels," Nano Lett. NALEFD1530-698410.1021/nl061524l 6, 2232 (2006).