Spreading with evaporation and condensation in one-component fluids

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 82, Issue 2, 2010, Pages

  Teshigawara, Ryohei ^a   Onuki, Akira ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

AXISYMMETRIC GEOMETRIES; COMPLETE WETTING; CRITICAL TEMPERATURES; DOMINANT MECHANISM; DYNAMIC VAN DER WAALS THEORY; EVAPORATION AND CONDENSATION; FILM EDGE; FINITE THICKNESS; HOT SPOT; HYDRODYNAMIC EQUATIONS; LATE STAGE; LIQUID DROPLETS; ONE-COMPONENT FLUIDS; PRECURSOR FILMS; SIMPLE FLUIDS; TEMPERATURE PEAKS; THERMAL DIFFUSION EQUATIONS;

CONDENSATION; DROP FORMATION; EVAPORATION; FILM GROWTH; HEATING; LATENT HEAT; LIQUIDS; SUBSTRATES; VAN DER WAALS FORCES;

PHASE INTERFACES;

EID: 77955648702     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.021603     Document Type: Article

References (78)

1. P. G. de Gennes, Rev. Mod. Phys. 57, 827 (1985). 10.1103/RevModPhys.57. 827
2. W. Hardy, Philos. Mag. 38, 49 (1919); see Ref. for comments on this original work.
3. V. E. Dussan, Annu. Rev. Fluid Mech. 11, 371 (1979). 10.1146/annurev.fl. 11.010179.002103
4. L. H. Tanner, J. Phys. D 12, 1473 (1979). 10.1088/0022-3727/12/9/009
5. J.-D. Chen, J. Colloid Interface Sci. 122, 60 (1988). 10.1016/0021-9797(88)90287-1
6. G. McHale, M. I. Newton, S. M. Rowan, and M. Banerjee, J. Phys. D 28, 1925 (1995) 10.1088/0022-3727/28/9/020
7. L. Leger and J. F. Joanny, Rep. Prog. Phys. 55, 431 (1992). 10.1088/0034-4885/55/4/001
8. D. Bonn, J. Eggers, J. Indekeu, J. Meunier, and E. Rolley, Rev. Mod. Phys. 81, 739 (2009). 10.1103/RevModPhys.81.739
9. L. M. Hocking and A. D. Rivers, J. Fluid Mech. 121, 425 (1982). 10.1017/S0022112082001979
10. D. Ausserré, A. M. Picard, and L. Léger, Phys. Rev. Lett. 57, 2671 (1986). 10.1103/PhysRevLett.57.2671
11. F. Heslot, A. M. Cazabat, and P. Levinson, Phys. Rev. Lett. 62, 1286 (1989) 10.1103/PhysRevLett.62.1286
12. F. Heslot, A. M. Cazabat, P. Levinson, and N. Fraysse, Phys. Rev. Lett. 65, 599 (1990). 10.1103/PhysRevLett.65.599
13. D. Beaglehole, J. Phys. Chem. 93, 893 (1989). 10.1021/j100339a067
14. H. P. Kavehpour, B. Ovryn, and G. H. McKinley, Phys. Rev. Lett. 91, 196104 (2003). 10.1103/PhysRevLett.91.196104
15. J.-X. Yang, J. Koplik, and J. R. Banavar, Phys. Rev. A 46, 7738 (1992). 10.1103/PhysRevA.46.7738
16. J. A. Nieminen, D. B. Abraham, M. Karttunen, and K. Kaski, Phys. Rev. Lett. 69, 124 (1992). 10.1103/PhysRevLett.69.124
17. T. Ala-Nissila, S. Herminghaus, T. Hjelt, and P. Leiderer, Phys. Rev. Lett. 76, 4003 (1996) 10.1103/PhysRevLett.76.4003
18. T. Hjelt, S. Herminghaus, T. Ala-Nissila, and S. C. Ying, Phys. Rev. E 57, 1864 (1998). 10.1103/PhysRevE.57.1864
19. J. A. Nieminen and T. Ala-Nissila, Phys. Rev. E 49, 4228 (1994) 10.1103/PhysRevE.49.4228
20. M. Haataja, J. A. Nieminen, and T. Ala-Nissila, Phys. Rev. E 52, R2165 (1995). 10.1103/PhysRevE.52.R2165
21. J. De Coninck U. D'Ortona, J. Koplik, and J. R. Banavar, Phys. Rev. Lett. 74, 928 (1995) 10.1103/PhysRevLett.74.928
22. U. D'Ortona, J. De Coninck, J. Koplik, and J. R. Banavar, Phys. Rev. E 53, 562 (1996). 10.1103/PhysRevE.53.562
23. J. Koplik, S. Pal, and J. R. Banavar, Phys. Rev. E 65, 021504 (2002). 10.1103/PhysRevE.65.021504
24. A. Milchev and K. Binder, J. Chem. Phys. 116, 7691 (2002) 10.1063/1.1465410
25. E. B. Webb III, G. S. Grest, and D. R. Heine, Phys. Rev. Lett. 91, 236102 (2003). 10.1103/PhysRevLett.91.236102
26. G. Guéna, C. Poulard, and A. M. Cazabat, J. Colloid Interface Sci. 312, 164 (2007). 10.1016/j.jcis.2006.06.023
27. J. Hegseth, A. Oprisan, Y. Garrabos, V. S. Nikolayev, C. Lecoutre-Chabot, and D. Beysens, Phys. Rev. E 72, 031602 (2005). 10.1103/PhysRevE.72.031602
28. R. D. Deegan, O. Bakajin, T. F. Dupont, G. Huber, S. R. Nagel, and T. A. Witten, Nature (London) 389, 827 (1997). 10.1038/39827
29. H. Hu and R. G. Larson, Langmuir 21, 3963 (2005) 10.1021/la047528s
30. H. Hu and R. G. Larson, Langmuir 21, 3972 (2005). 10.1021/la0475270
31. N. Shahidzadeh-Bonn, S. Rafai, A. Azouni, and D. Bonn, J. Fluid Mech. 549, 307 (2006). 10.1017/S0022112005008190
32. H. J. Butt, D. S. Glovko, and E. Bonaccurso, J. Phys. Chem. B 111, 5277 (2007). 10.1021/jp065348g
33. R. Teshigawara and A. Onuki, EPL 84, 36003 (2008). 10.1209/0295-5075/84/ 36003
34. J. Straub, Int. J. Therm. Sci. 39, 490 (2000). 10.1016/S1290-0729(00) 00204-0
35. V. S. Nikolayev, D. A. Beysens, G.-L. Lagier, and J. Hegseth, Int. J. Heat Mass Transfer 44, 3499 (2001). 10.1016/S0017-9310(01)00024-2
36. C. Höhmann and P. Stephan, Exp. Therm. Fluid Sci. 26, 157 (2002) 10.1016/S0894-1777(02)00122-X
37. D. Beysens, Y. Garrabos, V. S. Nikolayev, C. Lecoutre-Chabot, J.-P. Delville, and J. Hegseth, EPL 59, 245 (2002). 10.1209/epl/i2002-00233-9
38. A. Onuki and K. Kanatani, Phys. Rev. E 72, 066304 (2005). 10.1103/PhysRevE.72.066304
39. A. Onuki, Phys. Rev. E 79, 046311 (2009). 10.1103/PhysRevE.79.046311
40. This phenomenological expression for J (r) is not valid in evaporation in one-component fluids, where evaporation is much more localized near the contact line. However, in the presence of air, the Marangoni effect can induce convection inside the droplet causing overall evaporation. This aspect should be further studied in the future.
41. P. Ehrhard and S. H. Davis, J. Fluid Mech. 229, 365 (1991) 10.1017/S0022112091003063
42. D. M. Anderson and S. H. Davis, Phys. Fluids 7, 248 (1995). 10.1063/1.868623
43. P. Seppecher, Int. J. Eng. Sci. 34, 977 (1996). 10.1016/0020-7225(95) 00141-7
44. D. Jasnow and J. Viñals, Phys. Fluids 8, 660 (1996) 10.1063/1.868851
45. R. Chella and J. Viñals, Phys. Rev. E 53, 3832 (1996). 10.1103/PhysRevE.53.3832
46. D. M. Anderson, G. B. McFadden, and A. A. Wheeler, Annu. Rev. Fluid Mech. 30, 139 (1998). 10.1146/annurev.fluid.30.1.139
47. D. Jacqmin, J. Comput. Phys. 155, 96 (1999). 10.1006/jcph.1999.6332
48. D. Jamet, O. Lebaigue, N. Coutris, and J. M. Delhaye, J. Comput. Phys. 169, 624 (2001). 10.1006/jcph.2000.6692
49. R. Borcia and M. Bestehorn, Phys. Rev. E 67, 066307 (2003) 10.1103/PhysRevE.67.066307
50. R. Borcia and M. Bestehorn, Phys. Rev. E 75, 056309 (2007). 10.1103/PhysRevE.75.056309
51. T. Araki and H. Tanaka, EPL 65, 214 (2004). 10.1209/epl/i2003-10073-7
52. B. J. Palmer and D. R. Rector, Phys. Rev. E 61, 5295 (2000) 10.1103/PhysRevE.61.5295
53. in an erratum to B. J. Palmer and D. R. Rector, Phys. Rev. E 69, 049903 (E) (2004) 10.1103/PhysRevE.69.049903
54. A. J. Briant, A. J. Wagner, and J. M. Yeomans, Phys. Rev. E 69, 031602 (2004). 10.1103/PhysRevE.69.031602
55. T. Inamuro, T. Ogata, S. Tajima, and N. Konishi, J. Comput. Phys. 198, 628 (2004). 10.1016/j.jcp.2004.01.019
56. C. M. Pooley, O. Kuksenok, and A. C. Balazs, Phys. Rev. E 71, 030501 (R) (2005). 10.1103/PhysRevE.71.030501
57. A. Onuki, Phys. Rev. Lett. 94, 054501 (2005). 10.1103/PhysRevLett.94. 054501
58. A. Onuki, Phys. Rev. E 75, 036304 (2007) 10.1103/PhysRevE.75.036304
59. N. Takada and A. Tomiyama, Int. J. Mod. Phys. C 18, 536 (2007). 10.1142/S0129183107010772
60. G. Gonnella, A. Lamura, and A. Piscitelli, J. Phys. A: Math. Theor. 41, 105001 (2008). 10.1088/1751-8113/41/10/105001
61. A. Kawasaki, J. Onishi, Y. Chen, and H. Ohashi, Comput. Math. Appl. 55, 1492 (2008). 10.1016/j.camwa.2007.08.026
62. G. Fang and C. A. Ward, Phys. Rev. E 59, 417 (1999). 10.1103/PhysRevE.59. 417
63. A. Onuki, Phase Transition Dynamics (Cambridge University Press, Cambridge, England, 2002). 10.1017/CBO9780511534874
64. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, New York, 1959).
65. U appears in the right-hand side of Eq..
66. J. Koplik, J. R. Banavar, and J. F. Willemsen, Phys. Rev. Lett. 60, 1282 (1988) 10.1103/PhysRevLett.60.1282
67. P. A. Thompson and M. O. Robbins, Phys. Rev. Lett. 63, 766 (1989) 10.1103/PhysRevLett.63.766
68. J. L. Barrat and L. Bocquet, Phys. Rev. Lett. 82, 4671 (1999). 10.1103/PhysRevLett.82.4671
69. T. Qian, X.-P. Wang, and P. Sheng, Phys. Rev. E 68, 016306 (2003) 10.1103/PhysRevE.68.016306
70. T. Qian, C. Wu, S. L. Lei, X.-P. Wang, and P. Sheng, J. Phys.: Condens. Matter 21, 464119 (2009). 10.1088/0953-8984/21/46/464119
71. B. Lafaurie, C. Nardone, R. Scardovelli, S. Zaleski, and G. Zanetti, J. Comput. Phys. 113, 134 (1994) 10.1006/jcph.1994.1123
72. I. Ginzburg and G. Wittum, J. Comput. Phys. 166, 302 (2001) 10.1006/jcph.2000.6655
73. D. Jamet, D. Torres, and J. U. Brackbill, J. Comput. Phys. 182, 262 (2002) 10.1006/jcph.2002.7165
74. S. Shin, S. I. Abdel-Khalik, V. Daru, and D. Juric, J. Comput. Phys. 203, 493 (2005). 10.1016/j.jcp.2004.09.003
75. D. Beysens, C. R. Phys. 7, 1082 (2006). 10.1016/j.crhy.2006.10.020
76. A. Onuki and R. A. Ferrell, Physica A 164, 245 (1990) 10.1016/0378-4371(90)90198-2
77. A. Onuki, Phys. Rev. E 76, 061126 (2007). 10.1103/PhysRevE.76.061126
78. Y. Miura, S. Yoshihara, M. Ohnishi, K. Honda, M. Matsumoto, J. Kawai, M. Ishikawa, H. Kobayashi, and A. Onuki, Phys. Rev. E 74, 010101 (R) (2006). 10.1103/PhysRevE.74.010101