Sessile droplets on a curved substrate: Effects of line tension

Journal of Physics A: Mathematical and Theoretical

Volumn 40, Issue 1, 2007, Pages 19-46

  Guzzardi, Luca ^a   Rosso, Riccardo ^b  

^a UNIVERSITY OF CALABRIA   (Italy)

^b UNIVERSITY OF PAVIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54149110329     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/1/002     Document Type: Article

References (28)

1. Aveyard R, Binks B P and Clint JH2003 Emulsions stabilised solely by colloidal particles Adv. Colloid Interface Sci. 100-102 503-46
2. Binks B P and Lumsdon S O 2000 Catastrophic phase inversion of water-in-oil emulsions stabilized by hydrophobic silica Langmuir 16 2539-47
3. Levine S and Bowen B D 1991 Capillary interaction of spherical particles adsorbed on the surface of an oil/water droplet stabilized by the particles: part I Colloid Surf. 59 377-96
4. Levine S and Bowen B D 1992 Capillary interaction of spherical particles adsorbed on the surface of an oil/water droplet stabilized by the particles: part II Colloid Surf. 65 273-86
5. Aveyard R, Clint J H and Horozov T S 2003 Aspects of the stabilisation of emulsions by solid particles: effects of line tension and monolayer curvature energy Phys. Chem. Chem. Phys. 5 2398-409
6. Steigmann D J and Li D 1995 Energy-minimizing states of capillary systems with bulk, surface, and line phases IMA J. Appl. Math. 55 1-17
7. Solomentsev Y and White L R 1999 Microscopic drop profiles and the origins of line tension J. Colloid Interface Sci. 218 122-36
8. Rowlinson J S and Widom B 2002 Molecular Theory of Capillarity (New York: Dover)
9. Boruvka L and Neumann A W 1977 Generalization of the classical theory of capillarity J. Chem. Phys. 66 5464-76
10. Bieker T and Dietrich S 1998 Wetting of curved substrates Physica A 252 85-137
11. Brinkmann M, Kierfeld J and Lipowsky R 2005 Stability of liquid channels or filaments in the presence of line tension J. Phys.: Condens. Matter 17 2349-64
12. Guzzardi L, Rosso R and Virga E G 2006 Residual stability of sessile droplets with negative line tension Phys. Rev. E 73 021602
13. Aveyard R and Clint J H 1996 Particle wettability and line tension J. Chem. Soc. Faraday Trans. 92 85-9
14. Tolman R 1949 The effect of droplet size on surface tension J. Chem. Phys. 17 333-7
15. Rosso R and Verani M Curvature corrections for wetting functionals, in preparation
16. Rosso R and Virga E G 2004 Local stability for a general wetting functional J. Phys. A: Math. Gen. 37 3989-4015
17. Yeh E K, Newman J and Radke C J 1999 Equilibrium configurations of liquid droplets on solid surfaces under the influence of thin-film forces: I. Thermodynamics Colloid Surf. A 156 137-44
18. Yeh E K, Newman J and Radke C J 1999 Equilibrium configurations of liquid droplets on solid surfaces under the influence of thin-film forces: II. Shape calculations Colloid Surf. A 156 525-46
19. Wang J Y, Betelu S and Law M 2001 Line tension approaching a first-order wetting transition: experimental results from contact angle measurements Phys. Rev. E 63 031601
20. do Carmo M P 1976 Differential Geometry of Curves and Surfaces (Englewood Cliffs, NJ: Prentice-Hall)
21. Lebedev N N 1972 Special Functions and Their Applications (New York: Dover)
22. Widom B 1995 Line tension and the shape of a sessile drop J. Phys. Chem. 99 2803-6
23. Guzzardi L and Rosso R 2006 Exotic effects of line tension on curved substrates, in preparation
24. Guzzardi L 2005 Modelling wetting with line tension PhD Thesis University of Florence
25. Dong L and Johnson D T 2005 Adsorption of acicular particles at liquid-fluid interfaces and the influence of line tension Langmuir 21 3838-49
26. Gautschi W 1997 Numerical Analysis: An introduction (Basel: Birkhauser)
27. Petkovic M S, Stefanovic L V and Marjanovic Z M 1992 A family of simultaneous zero finding methods Int. J. Comput. Math. 43 111-26
28. Petkovic M S and Marjanovic Z H 1991 A class of simultaneous methods for the zeros of analytic functions Comput. Math. Appl. 22 79-87