Simulation of fluid slip at 3D hydrophobic microchannel walls by the lattice Boltzmann method

Journal of Computational Physics

Volumn 202, Issue 1, 2005, Pages 181-195

  Zhu, Luoding ^a   Tretheway, Derek ^a   Petzold, Linda ^a   Meinhart, Carl ^a  

^a University of California   (United States)

Author keywords

Fluid slip; Hydrophobicity; Lattice Boltzmann method; Microfluidic; Slip boundary condition

Indexed keywords

KINETIC THEORY; MICROCHANNELS; MICROFLUIDICS;

DECAY LENGTH; FLUID SLIP; HYDROPHOBICS; LATTICE BOLTZMANN METHOD; MICROCHANNEL WALLS; REPULSIVE FORCES; SLIP BOUNDARY CONDITIONS; STREAM VELOCITY;

HYDROPHOBICITY;

EID: 8744309401     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.07.004     Document Type: Article

References (63)

1. D.C. Tretheway C.D. Meinhart Apparent fluid slip at hydrophobic microchannel walls Phys. Fluids 14 3 2002 L9
2. D.C. Tretheway C.D. Meinhart A generating mechanism for apparent fluid slip in hydrophobic microchannels Phys. Fluids 16 5 2004 1509
3. C.H. Choi, K.J.A. Westin, K.S. Breuer, Apparent slip flows in hydrophilic and hydrophobic microchannels (submitted)
4. D. Lumma A. Best A. Gansen F. Feuillebois J.O. Radler O.I. Vinogradova Flow profile near a wall measured by double-focus fluorescence cross-correlation Phys. Rev. E 67 2003 056313
5. R.G. Horn O.I. Vinogradova M.E. Mackay N. Phan-Thien Hydrodynamic slippage inferred from thin film drainage measurements in a solution of nonadsorbing polymer J. Chem. Phys. 112 14 2000
6. K. Watanabe Yanuar H. Mizunuma Slip of Newtonian fluids at solid boundary JSME Int. J. Ser. B 41 1998 525
7. K. Watanabe Yanuar H. Udagawa Drag reduction of Newtonian fluid in a circular pipe with a highly water-repellant wall J. Fluid Mech. 381 1999 225
8. E. Ruckenstein P. Rajora On the no-slip boundary condition of hydrodynamics J. Colloid Interface Sci. 96 1983 488
9. J. Barrat L. Bocquet Large slip effect at a nonwetting fluid-solid interface Phys. Rev. Lett. 82 1999 4671
10. N. Churaev V. Sobolev A. Somov Slippage of liquids over lyophobic solid surface J. Colloid Interface Sci. 97 1984 574
11. Y. Zhu S. Granick Rate-dependent slip of Newtonian liquid at smooth surfaces Phys. Rev. Lett. 87 2001 096105
12. R. Pit H. Hervet L. Leger Direct experimental evidence of slip in hexadecane: Solid interfaces Phys. Rev. Lett. 85 2000 980
13. P.A. Thompson S.M. Troian A general boundary condition for liquid flow at solid surfaces Nature 389 6649 1997 360-362
14. O.I. Vinogradova Slippage of water over hydrophobic surfaces Int. J. Miner. Process. 56 1999 31-60
15. L. Mainbaum D. Chandler A coarse-grained model of water confined in a hydrophobic tube J. Phys. Chem. B 107 2003 1189-1193
16. K. Lum D. Chandler J.D. Weeks Hydrophobicity at small and large length scales J. Phys. Chem. B 103 1999 4570-4577
17. D.M. Huang D. Chandler The hydrophobic effect and the influence of solute-solvent attractions J. Phys. Chem. B 106 2002 2047-2053
18. N.F. Bunkin O.A. Kiseleva A.V. Lobeyev T.G. Movchan Effect of salts and dissolved gas on optical cavitation near hydrophobic and hydrophilic surfaces Langmuir 13 1997 3024-3028
19. D. Chandler Two faces of water Nature 417 2002 491
20. M. Sakurai H. Tamagawa K. Ariga T. Kunitake Y. Inoue Molecular dynamics simulation of water between hydrophobic surfaces. Implication for the long-range hydrophobic force Chem. Phys. Lett. 289 1998 567
21. O.I. Vinogradova Possible implications of hydrophobic slippage on the dynamic measurements of hydrophobic forces J. Phys.: Condens. Matter 8 1996 9491
22. J. Tyrell P. Attard Images of nanobubbles on hydrophobic surfaces and their interactions Phys. Rev. Lett. 87 2001 176104
23. D. Schwendel T. Hayashi R. Dahint A. Pertsin M. Grunze R. Steitz F. Schreiber Interaction of water with self-assembled monolayers: Neutron reflectivity measurements of the water density in the interface region Langmuir 19 2003 2284-2293
24. L. Zhu, J. Zhou, L. Petzold, T. Yang, Parallel simulation of fluid slip at hydrophobic microchannel walls by the multi-component lattice Boltzmann method, in: SIAM Conference on Parallel Processing for Scientific Computing, San Francisco, CA, February 25-27, 2004
25. D.C. Tretheway, L. Zhu, L.R. Petzold, C.D. Meinhart, Examination of the slip boundary condition by μ-PIV and lattice Boltzmann simulation, in: 2002 ASME International Mechanical Engineering Congress & Exposition, New Orleans, Louisiana, November, 2002
26. W. White Viscous Fluid Flow 1974 McGraw-Hill New York
27. G.E. Karniadakis A. Beskok Micro-flows - Fundamentals and Simulation 2002 Springer New York
28. Y.H. Qian, Lattice gas and lattice kinetic theory applied to the Navier-Stokes equations, Ph.D. Thesis, University Pierre et Marie Curie, Paris, 1990
29. S.Y. Chen H.D. Chen D. Martinez W. Matthaeus Lattice Boltzmann model for simulation of magnetohydrodynamics Phys. Rev. Lett. 67 1991 3776
30. P.L. Bhatnagar E.P. Gross M. Krook A model for collision processes in gases, I: Small amplitude process in charged and neutral one-component system Phys. Rev. 94 1954 511
31. D.H. Rothman S. Zaleski Lattice gas models of phase separation: interface phase, transitions and multiphase flow Rev. Mod. Phys. 66 1994 1417
32. S.Y. Chen G.D. Doolen Lattice Boltzmann method for fluid flows Annu. Rev. Fluid Mech. 30 1998 329
33. L.S. Luo Unified theory of the lattice Boltzmann models for nonideal gases Phys. Rev. Lett. 81 1998 1618
34. L.S. Luo, The future of lattice-gas and lattice Boltzmann methods, in: ICASE/LaRC/NSF/ARO Workshop on Computational Aerosciences in the 21st Century Hampton, Virginia, April 22-24, 1998
35. D.A. Wolf-Gladrow Lattice-gas Cellular Automata and Lattice Boltzmann Models - An Introduction 2000 Springer Berlin
36. X. He L.S. Luo Theory of lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation Phys. Rev. E 56 1997 6811
37. X. He Q. Zou L. Luo M. Dembo Analytic solutions of simple flows and analysis of nonslip boundary conditions for the lattice Boltzmann BGK model J. Stat. Phys. 87 1/2 1997
38. X. He L. Luo A priori derivation of the lattice Boltzmann equation Phys. Rev. E 55 6 1997
39. S. Hou, Lattice Boltzmann method for incompressible viscous flow, Ph.D. Thesis, Kansas State University, 1995
40. X. Nie G.D. Doolen S.Y. Chen Lattice Boltzmann simulations of fluid flows in MEMS J. Stat. Phys. 107 1/2 2002
41. C.Y. Lim C. Shu X.D. Niu Y.T. Chew Application of lattice Boltzmann method to simulate microchannel flows Phys. Fluids 14 7 2002 2299
42. J.C. Maxwell Philos. Trans. R. Soc. Lond. A 170 1867 231
43. P. Lavallee J.P. Boon A. Noullez Boundaries in lattice gas flows Physica D 47 1991 233
44. G.P. Bird Molecular Gas Dynamics and the Direct Simulation of Gas Flows 1994 Oxford Science Publications
45. J.G. Zhou An elastic-collision scheme for lattice Boltzmann methods Int. J. Mod. Phys. C 12 3 2001 387
46. D.H. Rothman J.M. Keller Immiscible cellular-automaton fluids J. Stat. Phys. 52 1988 1119
47. A.K. Gunstensen D.H. Rothman S. Zaleski G. Zanetti Lattice Boltzmann model of immiscible fluids Phys. Rev. A 43 1991 4320
48. D. Grunau S.Y. Chen K. Eggert A lattice Boltzmann model for multiphase fluid flows Phys. Fluids A 5 1993 2557
49. X. Shan H. Chen Lattice Boltzmann model for simulating flows with multiple phases and components Phys. Rev. E 47 3 1993 1815
50. X. Shan H. Chen Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation Phys. Rev. E 49 1994 2941
51. X. Shan G.D. Doolen Multicomponent lattice Boltzmann model with interparticle interaction J. Stat. Phys. 81 1995 379
52. N.S. Martys H. Chen Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method Phys. Rev. E 53 1 1996 743
53. S. Hou X. Shan Q. Zou G.D. Doolen W.E. Soll Evaluation of two lattice Boltzmann models for multiphase flows J. Comput. Phys. 138 1997 695
54. J. Sterling S. Chen Stability analysis of lattice Boltzmann Methods J. Comput. Phys. 123 1996 196
55. S. Succi Mesoscopic modeling of slip motion at fluid solid interfaces with heterogeneous catalysis Phys. Rev. Lett. 89 6 2002 5
56. S. Succi The Lattice Boltzmann Equation 2001 Oxford University Press Oxford
57. M.R. Swift W.R. Osborn J.M. Yeomans Lattice Boltzmann simulation of nonideal fluids Phys. Rev. Lett. 75 1995 830-833
58. X. He S. Chen R. Zhang A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability J. Comput. Phys. 152 1999 642-663
59. T. Seta K. Kono S. Chen Lattice Boltzmann method for two-phase flows Int. J. Mod. Phys. B 17 1&2 2003 169-172
60. T. Inamuro R. Tomita F. Ogino Lattice Boltzmann simulations of drop deformation and breakup in shear flows Int. J. Mod. Phys. B 2002
61. L. Luo S. Girimaji Lattice Boltzmann model for binary mixtures Phys. Rev. E 66 2002 035301
62. H. Xi C. Duncan Lattice Boltzmann simulation of three-dimensional single droplet deformation and breakup under simple shear flow Phys. Rev. E 59 3 1999
63. H. Niimura Verification of multi-component lattice Boltzmann method Int. J. Mod. Phys. B 17 1&2 2003