Effective slip in pressure-driven Stokes flow

Journal of Fluid Mechanics

Volumn 489, Issue , 2003, Pages 55-77

  Lauga, Eric ^a   Stone, Howard A ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BUBBLES (IN FLUIDS); CRACKS; HYDROPHOBICITY; SURFACE PROPERTIES;

NANO-BUBBLES;

FLUID MECHANICS;

BUBBLE; COMPUTATIONAL FLUID DYNAMICS; HYDROPHOBICITY; INDUSTRIAL APPLICATION; PIPE; PRESSURE; STOKES FLOW;

EID: 0141792538     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112003004695     Document Type: Article

References (44)

1. ABRAMOWITZ, M. & STEGUN, I. A. 1972 Handbook of Mathematical Functions, Dover.
2. BARRAT, J.-L. & BOCQUET, L. 1999 Large slip effect at a nonwetting fluid-solid interface. Phys. Rev. Lett. 82, 4671-4674.
3. BAUDRY, J. & CHARLAIX, E. 2001 Experimental evidence for a large slip effect at a nonwetting fluid-solid interface. Langmuir 17, 5232-5236.
4. BEAN, C. P. 1972 The physics of porous membranes. Membranes 1 (ed. G. Eisenman). Marcel Dekker.
5. BOEHNKE, U.-C., REMMLER, T., MOTSCHMANN, M., WURLITZER, S.,HAUWEDE, J. & FISHER, TH. M. 1999 Partial air wetting on solvophobic surfaces in polar liquids. J. Colloid. Interface Sci. 211, 243-251.
6. BONACCURSO, E., KAPPL, M. & BUTT, H.-S. 2002 Hydrodynamic force measurements: boundary slip of water on hydrophilic surfaces and electrokinetic effects. Phys. Rev. Lett. 88, 076103.
7. BRENNER, H. & GANESAN, V. 2000 Molecular wall effects: are conditions at a boundary 'boundary conditions'? Phys. Rev. E 61, 6879-6897.
8. CHAN, D. Y. C. & HORN, R. G. 1985 The drainage of thin liquids films between solid surfaces. J. Chem. Phys. 83, 5311-5324.
9. CHENG, J.-T. & GIORDANO, N. 2002 Fluid flow through nanometre-scale channels. Phys. Rev. E 65, 031206.
10. CHURAEV, N. V., SOBOLEV, V. D. & SOMOV, A. N. 1984 Slippage of liquids over lyophobic solid surfaces. J. Colloid. Interface Sci. 97, 574-581.
11. CIEPLAK, M., KOPLIK, J. & BANAVAR, J. R. 2001 Boundary conditions at a fluid-solid interface. Phys. Rev. Lett. 86, 803-806.
12. COTTIN-BIZONNE, C., JURINE. S., BAUDRY, J., CRASSOUS, J., RESTAGNO, F. & CHARLAIX,E. 2002 Nanorhcology: an investigation of the boundary condition at hydrophobic and hydrophilic interfaces. Eur. Phys. J. E 9, 47-53.
13. CRAIG, V. S. J., NETO, C. & WILLIAMS, D. R. M. 2001 Shear-dependent boundary slip in an aqueous Newtonian liquid. Phys. Rev. Lett. 87, 054504.
14. DENNISTON, C. & ROBBINS, M. O. 2001 Molecular and continuum boundary conditions for a miscible binary fluid. Phys. Rev. Lett. 87, 178302.
15. GANESAN, V. & BRENNER, H. 1999 Comment on 'no-slip condition for a mixture of two liquids'. Phys. Rev. Lett. 82, 1333.
16. GAVIS, J. & LAURENCE, R. L. 1968 Viscous heating in plane and circular flow between moving surfaces. I&EC Fundamentals 7, 232-239.
17. IDOL,, W. K. & ANDERSON, J. L. 1986 Effects of adsorbed polyelectrolytes on convective flow and diffusion in porous membranes. J. Memb. Sci. 28, 269-286.
18. ISHIDA, N., INOUE, T., MIYAHARA, M. & HIGASHITANI, K. 2000 Nano bubbles on a hydrophobic surface in water observed by tapping-mode atomic force microscopy. Langmuir 16, 6377-6380.
19. JANSONS, K. M. 1988 Determination of the macroscopic (partial) slip boundary condition for a viscous flow over a randomly rough surface with a perfect slip microscopic boundary condition. Phys. Fluids 31, 15-17.
20. KNUDSTRUP, T. G., BITSANIS, I. A. & WESTERMANN-CLARK, G. B. 1995 Pressure-driven flow experiments in molecularly narrow, straight pores of molecular dimension in mica. Langmuir 11, 893-897.
21. KOPLIK, J. & BANAVAR, J.R. 1995 Continuum deductions from molecular hydrodynamics. Annu. Rev. Fluid Mech. 27, 257-292.
22. KOPLIK, J. & BANAVAR, J. R. 1999 Reply to comment on 'No-slip condition for a mixture of two liquids'. Phys. Rev. Lett. 82, 1334.
23. LAUGA, E. & BRENNER, M. P. 2003 Dynamic mechanisms for apparent slip on hydrophobic surfaces. Euro. Phys. Lett. (submitted).
24. MAXWELL, J. C. 1879 On stresses in rarified gases arising from inequalities of temperature. Phil. Trans. R. Soc. Lond. 170, 231-256.
25. NAVIER, C. L. M. H. 1823 Meémoire sur les lois du mouvement des fluides. M-acemoires de I'Académie Royale des Sciences de I'Institut de France 6, 389-440.
26. ONDA, T., SHIBUICHI, S., SATOH, N. & TSUJI, K. 1996 Super-water-repellent fractal surfaces. Langmuir 12, 2125-2127.
27. PHILIP, J. R. 1972a Flows satisfying mixed no-slip and no-shear conditions. Z. Angew. Math. Phys. 23, 353-370.
28. PHILIP, J. R. 1972b Integral properties of flows satisfying mixed no-slip and no-shear conditions. Z. Angew. Math. Phys. 23, 960-968.
29. PIT, R., HERVERT, H. & LEEGER, L. 2000 Direct experimental evidence of slip in hexadecane: solid interfaces. Phys. Rev. Lett. 85, 980-983.
30. QUINN, J. A., ANDERSON, J. L., HO, W. S. & PETZNY, W. J. 1972 Model pores of molecular dimension: the preparation and characterization of track-etched membranes. Biophys. J. 12, 990-1007.
31. RAVIV, U., GIASSON, S., FREY, J. & KLEIN, J. 2002 Viscosity of ultra thin water films confined between hydrophobic or hydrophilic surfaces. J. Phys.: Condens. Matter 14, 9275-9283.
32. RICHARDSON, S. 1973 On the no-slip boundary condition. J. Fluid Mech. 59, 707-719.
33. ROBBINS, M. O. 1990 Shear flow near solids: epitaxial order and flow boundary conditions. Phys. Rev. A 41, 6830-6837.
34. SCHNELL, E. 1956 Slippage of water over nonwettable surfaces. J. Appl. Phys. 27, 1149-1152.
35. SNEDDON, I. N. 1966 Mixed Boundary Value Problems in Potential Theory. North-Holland.
36. TAYLOR, G. I. 1934 The formation of emulsions in definable fields of flow. Proc. R. Soc. A 146, 501-523.
37. THOMPSON, P. A. & TROIAN, S. M. 1997 A general boundary condition for liquid flow at solid surfaces. Nature 389, 360-362.
38. TRETHEWAY, D. C. & MEINHART, C. D. 2002 Apparent fluid slip at hydrophobic microchannel walls. Phys. Fluids 14, L9-L12.
39. TYRRELL, J. W. G. & ATTARD, P. 2001 Images of nanobubbles on hydrophobic surfaces and their interactions. Phys. Rev. Lett. 87, 176104.
40. TYRRELL, J. W. G. & ATTARD, P. 2002 Atomic force microscope images of nanobubbles on a hydrophobic surface and corresponding force-separation data. Langmuir 18, 160-167.
41. VINOGRADOVA, O. I. 1999 Slippage of water over hydrophobic surfaces. Intl J. Miner. Process. 56, 31-60.
42. WATANABE, K., UDAGAWA, Y. & UDAGAWA, H. 1999 Drag reduction of Newtonian fluid in a circular pipe with a highly water-repellent wall. J. Fluid Mech. 381, 225-238.
43. ZHU, Y. & GRANICK, S. 2001 Rate-dependent slip of Newtonian liquid at smooth surfaces. Phys. Rev. Lett. 87, 096105.
44. ZHU, Y. & GRANICK, S. 2002 On the origin of the no-slip boundary condition. Phys. Rev. Lett. 88, 106102.