Dynamics of fluid mixtures in nanospaces

Journal of Chemical Physics

Volumn 134, Issue 6, 2011, Pages

  Marconi, Umberto Marini Bettolo ^a   Melchionna, Simone ^b,c  

^a UNIVERSITY OF CAMERINO   (Italy)

^b EPFL   (Switzerland)

^c CNR   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BODY FORCES; BULK VISCOSITY; CONFINED FLUIDS; DENSITY DISTRIBUTIONS; EVOLUTION EQUATIONS; FLOW PROPERTIES; FLUID MIXTURES; GOVERNING EQUATIONS; HYDRODYNAMIC FLOWS; IMMISCIBLE LIQUIDS; INHOMOGENEOUS SYSTEM; LATTICE BOLTZMANN METHOD; MARCONI; MICROSCOPIC LEVELS; MOLECULAR THICKNESS; MULTICOMPONENTS; NANOSPACES; NON-STEADY CONDITIONS; PACKING FRACTIONS; PHASE-SPACE DISTRIBUTION FUNCTION; SELF-CONSISTENT FIELD; SIMPLE FLUIDS; SIZE RATIO; VISCOSITY VARIATIONS; VISCOUS FORCES;

DISTRIBUTION FUNCTIONS; FLUIDS; MIXTURES; PHASE SPACE METHODS; SURFACE TENSION; VISCOSITY;

FLOW OF FLUIDS;

EID: 79951777834     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3528221     Document Type: Article

References (76)

1. W. Sparreboom, A. van den Berg, and J. C. T. Eijkel, Nature Nanotechnol. 4, 713 (2009). 10.1038/nnano.2009.332
2. R. B. Schoch, J. Han, and P. Renaud, Rev. Mod. Phys. 80, 839 (2008). 10.1103/RevModPhys.80.839
3. R. Evans in Fundamentals of Inhomogeneous Fluids, edited by, D. Henderson, (Dekker, New York, 1992), Chap. 3.
4. D. Nicholson and S. K. Bathia, Mol. Simul. 35, 109 (2009). 10.1080/08927020802301912
5. P. Kerkhof and M. Geboers, AIChE Journal 51, 87 (2005). 10.1002/aic.10309 (Pubitemid 40116344)
6. M. Majumder, N. Chopra, R. Andrews, and B. J. Hinds, Nature (London) 438, 44 (2005). 10.1038/43844a (Pubitemid 41599814)
7. M. Rauscher and S. Dietrich, Annu. Rev. Mater. Res. 38, 143 (2008). 10.1146/annurev.matsci.38.060407.132451
8. Z. Guo, T. S. Zhao, and Y. Shi, Phys. Fluids 18, 067107 (2006). 10.1063/1.2214367 (Pubitemid 43984035)
9. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases, 3rd ed. (Cambridge University Press, Cambridge, 1970).
10. S. R. De Groot and P. Mazur, Non-Equilibrium Thermodynamics (Dover, New York, 1984).
11. J. H. Ferziger and H. G. Kaper, Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972).
12. E. Pia, L. S. Colin, and P. Goldstein, Physica A 217, 87 (1995). 10.1016/0378-4371(94)00300-I
13. M. K. Tham and K. E. Gubbins, J. Chem. Phys. 55, 268 (1971). 10.1063/1.1675518
14. P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev. 94, 511 (1954). 10.1103/PhysRev.94.511
15. E. P. Gross and M. Krook, Phys. Rev. 102, 593 (1956). 10.1103/PhysRev.102.593
16. V. Garzo, A. Santos, and J. J. Brey, Phys. Fluids A 1, 380 (1989). 10.1063/1.857458
17. P. Andries, K. Aoki, and B. Perthame, J. Stat. Phys. 106, 993 (2002). 10.1023/A:1014033703134 (Pubitemid 37133874)
18. V. Sofonea and R. F. Sekerka, Physica A 299, 494 (2001). 10.1016/S0378-4371(01)00246-1 (Pubitemid 32935246)
19. S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, 1st ed. (Oxford University Press, New York, 2001).
20. B. B. Hamel, Phys. Fluids 8, 418 (1965). 10.1063/1.1761239
21. L. S. Luo and S. Grimaji, Phys. Rev. E 66, 035301 (2002); 10.1103/PhysRevE.66.035301 (Pubitemid 40606431)
22. L. S. Luo and S. Grimaji, Phys. Rev. E 67, 036302 (2003). 10.1103/PhysRevE.67.036302
23. Z. Guo and T. S. Zhao, Phys. Rev. E 68, 035302 (2003); 10.1103/PhysRevE.68.035302
24. Z. Guo and T. S. Zhao, Phys. Rev. E 71, 026701 (2005). 10.1103/PhysRevE.71.026701 (Pubitemid 40618378)
25. P. Asinari, Phys. Fluids 17, 067102 (2005). 10.1063/1.1927567 (Pubitemid 40885480)
26. A. Xu, Phys. Rev. E 71, 066706 (2005). 10.1103/PhysRevE.71.066706 (Pubitemid 41663911)
27. R. Evans, Adv. Phys. 28, 143 (1979). 10.1080/00018737900101365
28. U. Marini, Bettolo Marconi and P. Tarazona, J. Chem. Phys. 10.1103/PhysRevE.82.011403 110, 8032 (1999); 10.1063/1.478705
29. U. Marini Bettolo Marconi and P. Tarazona, J. Phys.: Condens. Matter 12, A413 (2000). 10.1088/0953-8984/12/8A/356
30. A. J. Archer and R. Evans, J. Chem. Phys. 121, 4246 (2004). 10.1063/1.1778374
31. H. Lowen, J. Phys.: Condens. Matter 14, 11897 (2002). 10.1049/pe:20020301
32. P. Espaol and C. Thieulot, J. Chem. Phys. 118, 9109 (2003). 10.1088/0953-8984/14/46/301
33. H. van Beijeren and M. H. Ernst, Physica A 68, 437 (1973); 10.1016/0031-8914(73)90372-8
34. H. van Beijeren and M. H. Ernst, Physica A 70, 225 (1973). 10.1016/0031-8914(73)90247-4
35. W. Sung and G. Stell, J. Chem. Phys. 77, 4636 (1982). 10.1063/1.444417
36. U. Marini, Bettolo Marconi and P. Tarazona, J. Chem. Phys. 124, 164901 (2006); 10.1063/1.2188390
37. U. Marini Bettolo Marconi and S. Melchionna, J. Chem. Phys. 126, 184109 (2007). 10.1063/1.2724823 (Pubitemid 46743609)
38. U. Marini Bettolo Marconi, P. Tarazona, and F. Cecconi, J. Chem. Phys. 126, 164904 (2006); 10.1063/1.2723744
39. F. Cecconi, F. Diotallevi, U. Marini Bettolo Marconi, and A. Puglisi, J. Chem. Phys. 120, 35 (2004). 10.1063/1.1630957
40. J. W. Dufty, A. Santos, and J. Brey, Phys. Rev. Lett. 10.1103/PhysRevE.57.1644 77, 1270 (1996); 10.1103/PhysRevLett.77.1270
41. A. Santos, J. M. Montanero, J. W. Dufty, and J. J. Brey, Phys. Rev. E 57, 1644 (1998). 10.1103/PhysRevE.57.1644
42. S. Melchionna and U. Marini Bettolo Marconi, Europhys. Lett. 81, 34001 (2008). 10.1209/0295-5075/81/34001
43. U. Marini Bettolo Marconi and S. Melchionna, J. Chem. Phys. 131, 014105 (2009). 10.1063/1.3166865
44. U. Marini Bettolo Marconi and S. Melchionna, J. Phys.: Condens. Matter 22, 364110 (2010). 10.1088/0953-8984/22/36/364110
45. X. Shan and H. Chen, Phys. Rev. E 47, 1815 (1993); 10.1103/PhysRevE.47. 1815
46. X. Shan and H. Chen, Phys. Rev. E 49, 2941 (1994). 10.1103/PhysRevE.49. 2941
47. X. Shan and G. Doolen, Phys. Rev. E 54, 3614 (1996). 10.1103/PhysRevE.54. 3614
48. J. J.Magda, M. V. Tirrel, and H. T. Davis, J. Chem. Phys. 83, 1888 (1985). 10.1063/1.449375
49. L. A. Pozhar and K. E. Gubbins, J. Chem. Phys. 94, 1367 (1991). 10.1063/1.459994
50. L. A. Pozhar, Phys. Rev. E 61, 1432 (2000). 10.1103/PhysRevE.61.1432
51. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids (Academic, Oxford, 1990).
52. J. D. Ramshaw, Am. J. Phys. 70, 508 (2002). 10.1119/1.1463737
53. M. Lopez de Haro, E. G. D. Cohen, and J. M. Kincaid, J. Chem. Phys. 78, 2746 (1983). 10.1063/1.444985
54. H. C. Longuet-Higgins and J. A. Pople, J. Chem. Phys. 25, 884 (1956). 10.1063/1.1743136
55. J. Fischer and M. Methfessel, Phys. Rev. A 22, 2836 (1980). 10.1103/PhysRevA.22.2836
56. S. Sokolowski and J. Fischer, Mol. Phys. 70, 1097 (1990). 10.1080/00268979000101551
57. T. Boublik, J. Chem. Phys. 53, 471 (1970). 10.1063/1.1673824
58. G. A. Mansoori, N. F. Carnahan, K. E. Starling, and T. W. Leland, J. Chem. Phys. 54, 1523 (1971). 10.1063/1.1675048
59. C. N. Likos, Phys. Rep. 348, 267 (2001). 10.1016/S0370-1573(00)00141-1
60. Y. Rosenfeld, Phys. Rev. Lett. 63, 980 (1989); 10.1103/PhysRevLett.63.980
61. Y. Rosenfeld, M. Schmidt, H. Lowen, and P. Tarazona, Phys. Rev. E 55, 4245 (1997). 10.1103/PhysRevE.55.4245
62. I. Bitsanis, J. J. Magda, M. Tirrell, and H. T. Davies, J. Chem. Phys. 87, 1733 (1987). 10.1063/1.453240
63. H. Bruus, Theoretical Microfluidics (Oxford University Press, New York, 2008).
64. B. Gotzelmann, R. Evans, and S. Dietrich, Phys. Rev. E 57, 6785 (1998). 10.1103/PhysRevE.57.6785
65. J. C. Crocker, J. A. Matteo, A. D. Dinsmore, and A. G. Yodh, Phys. Rev. Lett. 82, 4352 (1999). 10.1103/PhysRevLett.82.4352
66. U. Marini Bettolo Marconi and F. van Swol, Europhys. Lett. 8, 531 (1989); 10.1209/0295-5075/8/6/007
67. U. Marini Bettolo Marconi and F. van Swol, Phys. Rev. A 39, 4109 (1989). 10.1103/PhysRevA.39.4109
68. A. C. Balazs, R. Verberg, C. N. Pooley, and O. Kuksenk, Soft Matter 1, 44, (2005). 10.1039/b500866b
69. R. Evans and U. Marini Bettolo Marconi, J. Chem. Phys. 86, 7138 (1987). 10.1063/1.452363
70. D. Goulding, J. P. Hansen, and S. Melchionna, Phys. Rev. Lett. 85, 1132 (2000). 10.1103/PhysRevLett.85.1132
71. N. S. Martys, X. Shan, and H. Chen, Phys. Rev. E 58, 6855 (1998). 10.1103/PhysRevE.58.6855
72. X. He and L.-S. Luo, Phys. Rev. E 55, R6333 (1997). 10.1103/PhysRevE.55. R6333
73. X. Shan and X. He, Phys. Rev. Lett. 80, 65 (1998). 10.1103/PhysRevLett. 80.65
74. X. Shan, X.-F. Yuan, and H. Chen, J. Fluid. Mech. 550, 413 (2006). 10.1017/S0022112005008153
75. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, 9th ed. (Dover, New York, 1972).
76. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, 2007).