Droplet spreading on chemically heterogeneous substrates

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

Volumn 84, Issue 3, 2011, Pages

  Vellingiri, Rajagopal ^a   Savva, Nikos ^a   Kalliadasis, Serafim ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL FEATURES; CHEMICAL NATURE; CONTACT LINES; DROPLET DYNAMICS; DROPLET SPREADING; EVOLUTION EQUATIONS; GOVERNING EQUATIONS; HETEROGENEOUS SUBSTRATES; HOMOGENEOUS SUBSTRATES; LIQUID-SOLID INTERFACES; LOCAL VARIATIONS; MULTIPLE EQUILIBRIUM; PHASE-PLANE ANALYSIS; SPREADING DYNAMICS; STICK-SLIP BEHAVIOR; STOKES EQUATIONS; SURFACE TENSION EFFECTS;

BOUNDARY CONDITIONS; CONTACT ANGLE; DROPS; DYNAMICS; ORDINARY DIFFERENTIAL EQUATIONS; PHASE INTERFACES; SLIP FORMING; SURFACE TENSION; STICK-SLIP;

SUBSTRATES;

EID: 80053018113     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.036305     Document Type: Article

References (57)

1. E. B. Dussan V., Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fl.11.010179.002103 11, 371 (1979).
2. P.-G. de Gennes, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.57. 827 57, 827 (1985).
3. A. A. Darhuber and S. M. Troian, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.36.050802.122052 37, 425 (2005). (Pubitemid 40318127)
4. D. Bonn, J. Eggers, J. Indekeu, J. Meunier, and E. Rolley, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.81.739 81, 739 (2009).
5. L. H. Tanner, J. Phys. D: Appl. Phys. JPAPBE 0022-3727 10.1088/0022-3727/12/9/009 12, 1473 (1979).
6. O. V. Voinov, Fluid Dyn. FLDYAH 0015-4628 10.1007/BF01012963 11, 714 (1976).
7. P. Neogi and C. A. Miller, J. Colloid Interface Sci. JCISA5 0021-9797 10.1016/0021-9797(82)90097-2 86, 525 (1982).
8. R. G. Cox, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112086000332 168, 169 (1986).
9. G. McHale, M. I. Newton, S. M. Rowan, and M. Banerjee, J. Phys. D: Appl. Phys. JPAPBE 0022-3727 10.1088/0022-3727/28/9/020 28, 1925 (1995).
10. P. Ehrhard and S. H. Davis, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112091003063 229, 365 (1991).
11. N. Savva and S. Kalliadasis, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3223628 21, 092102 (2009).
12. N. Savva, S. Kalliadasis, and G. A. Pavliotis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.084501 104, 084501 (2010).
13. N. Savva, G. A. Pavliotis, and S. Kalliadasis, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112010005975 672, 358 (2011).
14. N. Savva, G. A. Pavliotis, and S. Kalliadasis, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112010005987 672, 384 (2011).
15. K. H. Chu, R. Xiao, and E. N. Wang, Nature Mater. 1476-1122 10.1038/nmat2726 9, 413 (2010).
16. N. A. Malvadkar, M. J. Hancock, K. Sekeroglu, W. J. Dressick, and M. C. Demirel, Nature Mater. 1476-1122 10.1038/nmat2864 9, 1023 (2010).
17. D. Quéré, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/68/11/R01 68, 2495 (2005). (Pubitemid 41460436)
18. Z. Nie and E. Kumacheva, Nature Mater. 1476-1122 10.1038/nmat2109 7, 277 (2008). (Pubitemid 351430891)
19. C. Sodtke, V. S. Ajaev, and P. Stephan, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112008002759 610, 343 (2008).
20. C. Decamps and J. D. Coninck, Langmuir LANGD5 0743-7463 10.1021/la000590e 16, 10150 (2000). (Pubitemid 32086261)
21. A. B. D. Cassie, Discuss. Faraday Soc. 0366-9033 10.1039/df9480300011 3, 11 (1948).
22. L. Gao and T. J. McCarthy, Langmuir LANGD5 0743-7463 10.1021/la062634a 23, 3762 (2007). (Pubitemid 46581903)
23. G. McHale, Langmuir LANGD5 0743-7463 10.1021/la7011167 23, 8200 (2007). (Pubitemid 47155336)
24. M. Nosonovsky, Langmuir LANGD5 0743-7463 10.1021/la701324m 23, 9919 (2007). (Pubitemid 47508023)
25. M. V. Panchagnula and S. Vedantam, Langmuir LANGD5 0743-7463 10.1021/la7022117 23, 13242 (2007).
26. A. Marmur and E. Bittoun, Langmuir LANGD5 0743-7463 10.1021/la802667b 25, 1277 (2009).
27. L. Gao and T. J. McCarthy, Langmuir LANGD5 0743-7463 10.1021/la901416m 25, 7249 (2009).
28. P. S. Swain and R. Lipowsky, Langmuir LANGD5 0743-7463 10.1021/la980602k 14, 6772 (1998).
29. R. Crawford, L. K. Koopal, and J. Ralston, Colloids Surf. 0166-6622 10.1016/0166-6622(87)80133-6 27, 57 (1987).
30. G. Yamauchi, J. D. Miller, H. Saito, K. Takai, T. Ueda, H. Takazawa, H. Yamamoto, and S. Nislhi, Colloids Surf. A CPEAEH 0927-7757 10.1016/0927-7757(96) 03653-9 116, 125 (1996). (Pubitemid 26288967)
31. J. T. Woodward, H. Gwin, and D. K. Schwartz, Langmuir LANGD5 0743-7463 10.1021/la991068z 16, 2957 (2000). (Pubitemid 30576829)
32. S. T. Larsen and R. Taboryski, Langmuir LANGD5 0743-7463 10.1021/la8030045 25, 1282 (2009).
33. T. Cubaud and M. Fermigier, J. Colloid Interface Sci. JCISA5 0021-9797 10.1016/j.jcis.2003.08.008 269, 171 (2004). (Pubitemid 37491009)
34. M. K. Chaudhury and G. M. Whitesides, Science SCIEAS 0036-8075 10.1126/science.256.5063.1539 256, 1539 (1992).
35. K. Ichimura, S. Oh, and M. Nakagawa, Science SCIEAS 0036-8075 10.1126/science.288.5471.1624 288, 1624 (2000). (Pubitemid 30387424)
36. H. Gau, S. Herminghaus, P. Lenz, and R. Lipowsky, Science SCIEAS 0036-8075 10.1126/science.283.5398.46 283, 46 (1999). (Pubitemid 29044840)
37. J. Lèopoldés and D. G. Bucknall, J. Phys. Chem. B JPCBFK 1520-6106 10.1021/jp0508094 109, 8973 (2005). (Pubitemid 40750934)
38. O. Bliznyuk, E. Vereshchagina, E. S. Kooij, and B. Poelsema, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.041601 79, 041601 (2009).
39. H. P. Greenspan, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112078000075 84, 125 (1978).
40. C. Huh and L. E. Scriven, J. Colloid Interface Sci. JCISA5 0021-9797 10.1016/0021-9797(71)90188-3 35, 85 (1971).
41. J. F. Joanny and P.-G. de Gennes, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.447337 81, 552 (1984).
42. F. Brochard, Langmuir LANGD5 0743-7463 10.1021/la00086a025 5, 432 (1989).
43. S. Moulinet, C. Guthmann, and E. Rolley, Eur. Phys. J. E 8, 437 (2002).
44. L. W. Schwartz and R. R. Eley, J. Colloid Interface Sci. JCISA5 0021-9797 10.1006/jcis.1998.5448 202, 173 (1998). (Pubitemid 28396416)
45. U. Thiele and E. Knobloch, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/12/313 8, 313 (2006). (Pubitemid 44927400)
46. J. J. Huang, C. Shu, and Y. T. Chew, J. Colloid Interface Sci. JCISA5 0021-9797 10.1016/j.jcis.2008.08.046 328, 124 (2008).
47. H. Kusamaataja and J. M. Yeomans, Langmuir LANGD5 0743-7463 10.1021/la063218t 23, 6019 (2007). (Pubitemid 46868670)
48. L. M. Hocking, Q. J. Mech. Appl. Math. QJMMAV 0033-5614 10.1093/qjmam/34.1.37 34, 37 (1981).
49. L. M. Hocking, Q. J. Mech. Appl. Math. QJMMAV 0033-5614 10.1093/qjmam/36.1.55 36, 55 (1983).
50. K. Glasner, J. Comput. Phys. JCTPAH 0021-9991 10.1016/j.jcp.2005.01.022 207, 529 (2005). (Pubitemid 40696980)
51. C. Neto, D. R. Evans, E. Bonaccurso, H.-J. Butt, and V. S. J. Craig, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/68/12/R05 68, 2859 (2005). (Pubitemid 41435120)
52. C. I. Bouzigues, P. Tabeling, and L. Bocquet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.114503 101, 114503 (2008).
53. P. Tabeling, Phys. Fluids PHFLE6 1070-6631 10.1063/1.3323086 22, 021302 (2010).
54. M. A. Spaid and G. M. Homsy, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868800 8, 460 (1996).
55. L. M. Pismen and J. Eggers, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.056304 78, 056304 (2008).
56. N. Savva and S. Kalliadasis, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/94/64004 94, 64004 (2011).
57. A. Münch, B. Wagner, and T. Witelski, J. Eng. Math. JLEMAU 0022-0833 10.1007/s10665-005-9020-3 53, 359 (2005). (Pubitemid 43349155)