Analysis of the equilibrium droplet shape based on an ellipsoidal droplet model

Langmuir

Volumn 27, Issue 17, 2011, Pages 10705-10713

  Lubarda, Vlado A ^a,b   Talke, Kurt A ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Montenegrin Academy of Sciences and Arts   (Montenegro)

Author keywords

[No Author keywords available]

Indexed keywords

BOND NUMBERS; CAPILLARY LENGTH; CONTACT RADIUS; DROPLET MODEL; DROPLET SHAPE; DROPLET SIZES; NONLINEAR DIFFERENTIAL EQUATION; NUMERICAL EVALUATIONS; NUMERICAL SOLUTION; SOLID SUBSTRATES;

CONTACT ANGLE; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); NONLINEAR EQUATIONS;

DROPS;

EID: 80052204222     PISSN: 07437463     EISSN: 15205827     Source Type: Journal    
DOI: 10.1021/la202077w     Document Type: Article

References (57)

1. Zisman, W. In Contact Angle, Wettability, and Adhesion; Gould, R. F., Ed.; Advances in Chemistry Series; American Chemical Society: Washington, DC, 1964; p 43, Chapter 1.
2. Rowlinson, J. S.; Widom, B. Molecular Theory of Capillarity; Clarendon: Oxford, U.K., 1982.
3. de Gennes, P. G.; Brochard-Wyart, F.; Quéré, D. Capillarity and Wetting Phenomena; Springer: Berlin, 2004.
4. Wägli, Ph.; Homsy, A.; de Rooij, N. F. Sens. Actuators, B 2011, 156, 994-1001
5. Waghmare, P. R.; Mitra, S. K. Langmuir 2010, 26, 17082-17089
6. Park, J. W.; Jiao, K.; Li, X. Appl. Energy 2010, 87, 2180-2186
7. Marinescu, M.; Urbakh, M.; Barnea, T.; Kucernak, A. R.; Kornyshev, A. A. J. Phys. Chem. C 2010, 114, 22558-22565
8. Young, T. Philos. Trans. R. Soc. London 1805, 95, 65-87
9. Batchelor, G. K. An Introduction to Fluid Dynamics; Cambridge University Press: Cambridge, U.K., 1967.
10. Miller, C. A.; Neogi, P. Interfacial Phenomena: Equilibrium and Dynamic Effects, 2 nd ed.; CRC Press: Boca Raton, FL, 2008; pp 1-59.
11. Johnson, R. E. J. Phys. Chem. 1959, 63, 1655-1658
12. Blokhuis, E. M.; Shilkrot, Y.; Widom, B. Mol. Phys. 1995, 86, 891-899
13. Larher, Y. Langmuir 1997, 13, 7299-7300
14. Bashforth, F.; Adams, J. C. An Attempt to Test the Theory of Capillary Action; Cambridge University Press: Cambridge, U.K., 1893.
15. Padday, J. F. Surface and Colloid Science; Matijevic, E., Ed.; Wiley: New York, 1969; pp 101-151.
16. Padday, J. F. In Capillarity Today; Pétré, G.,; Sanfeld, A., Eds.; Lecture Notes in Physics; 386; Springer: New York, 1991; pp 90-107.
17. Whyman, G.; Bormashenko, E. J. Coll. Interface Sci. 2009, 331, 174-177
18. He, B.; Patankar, N. A.; Lee, J. Langmuir 2003, 19, 4999-5003
19. Whyman, G.; Bormashenko, E.; Stein, T. Chem. Phys. Lett. 2008, 450, 355-359
20. de Gennes, P. G. Rev. Mod. Phys. 1985, 57, 827-863
21. Tadmor, R.; Yadov, P. S. J. Colloid Interface Sci. 2008, 317, 241-246
22. Tadmor, R. Soft Matter 2011, 7, 1577-1580
23. de Ruijter, M. J.; Blake, T. D.; De Coninck, J. Langmuir 1999, 15, 7836-7847
24. Sakai, H.; Fujii, T. J. Colloid Interface Sci. 1999, 210, 152-156
25. Letellier, P.; Mayaffre, A.; Turmine, M. J. Colloid Interface Sci. 2007, 314, 604-614
26. Perez, M.; Brechet, Y.; Salvo, L.; Papoular, M.; Suery, M. Europhys. Lett. 1999, 47, 189-195
27. del Río, O. I.; Neumann, A. W. J. Colloid Interface Sci. 1997, 196, 136-147
28. Tadmor, R.; Bahadur, P.; Leh, A.; N'Guessan, H. E.; Jaini, R.; Dang, L. Phys. Rev. Lett. 2009, 103, 266101
29. Finn, R. Not. AMS 1999, 46, 770-781
30. Ren, H.; Xu, S.; Wu, S.-T. Opt. Commun. 2010, 283, 3255-3258
31. Quére, D.; Marie-José Azzopardi, M.-J.; Delattre, L. Langmuir 1998, 14, 2213-2216
32. Pu, G.; Ai, J.; Severtson, S. J. Langmuir 2010, 26, 12696-12702
33. Brunner, R.; Etsion, I.; Talke, F. E. Langmuir 2009, 26, 1824-1829
34. Homentcovschi, D. Acta Mech. 1998, 128, 141-171
35. Merchant, G. J.; Keller, J. B. Phys. Fluids A 1992, 4, 477-485
36. Diaz, M. E.; Fuentes, J.; Cerro, R. L.; Savage, M. D. J. Colloid Interface Sci. 2010, 348, 232-239
37. Padday, J. F.; Pitt, A. R. Proc. R. Soc. London, Ser. A 1972, 329, 421-431
38. Li, D.; Cheng, P.; Neumann, A. W. Adv. Colloid Interface Sci. 1992, 39, 347-382
39. Naydich, Yu. V.; Gab, I. I.; Evdokimov, V. A.; Kurkova, D. I.; Stetsyuk, T. V.; Grigorenko, N. F.; Chernigovtsev, E. P. Powder Metall. Metal Ceram. 2004, 43, 170-178
40. Dussan, E. B. Ann. Rev. Fluid Mech. 1979, 11, 371-400
41. Ehrhard, P.; Davis, S. H. J. Fluid Mech. 1991, 229, 365-388
42. Blokhuis, E. M. In Surface and Interfacial Tension: Measurement, Theory, and Applications; Hartland, S., Ed.; Surfactant Science Series 119; Marcel Dekker: New York, 2005; pp 147-193.
43. Tadmor, R. Surf. Sci. 2008, 602, L108-L111
44. Bronshtein, I. N.; Semendyayev, K. A. A Guide Book to Mathematics; Springer-Verlag: New York, 1973.
45. Picknett, R. G.; Bexon, R. J. J. Colloid Interface Sci. 1977, 61, 336-350
46. Erbil, H. Y.; Meric, R. A. J. Phys. Chem. B 1997, 101, 6867-6873
47. Gurtin, M. E. Configurational Forces as Basic Concepts of Continuum Physics; Applied Mathematical Sciences; Springer: New York, 2000; p 137.
48. Maugin, G. A. Appl. Mech. Rev. 1995, 48, 213-245
49. Suo, Z. Adv. Appl. Mech. 1997, 33, 193-294
50. Berim, G. O.; Ruckenstein, E. J. Phys. Chem. B 2004, 108, 19330-19338
51. Bormashenko, E. Colloids Surf., A 2009, 345, 163-165
52. Boruvka, L.; Neumann, A. W. J. Chem. Phys. 1977, 66, 5464-5476
53. Blecua, P.; Lipowsky, R.; Kierfeld, J. Langmuir 2006, 22, 11041-11059
54. Widom, B. J. Phys. Chem. 1995, 99, 2803-2806
55. Glasner, K. B. Phys. Fluids 2003, 15, 1837-1842
56. Heine, D. R.; Grest, G. S.; Webb, E. B., III. Phys. Rev. E 2004, 70, 011606-1-10
57. Gomba, J. M.; Homsy, G. M. Langmuir 2009, 25, 5684-5691