Capillary condensation of vapours between two solid surfaces: effects of line tension and surface forces

Abstract

The problem of capillary condensation of vapour between two solid surfaces has been considered. The effects on condensation arising from both the line tension at the solid/liquid/vapour contact line and the surface forces between the solid bodies have been taken into account. The stability of the liquid bridges in different geometries of the solid surfaces has been analysed in relation to relative vapour pressure, distance between the solid bodies and their surface chemistry. The main objective has been to investigate how the existence of line tension influences the liquid capillary bridge formation and to illustrate possible ways for the estimation of line tension from the observation of capillary condensation in beds of monodisperse spherical particles and in the surface force apparatus (SFA).

References

1. J. W. Gibbs, The Scientific Papers, Dover, New York, 1961, vol. 1, p. 288.
2. J. S. Rowlinson and B. Widom, Molecular Theory of Capillarity, Oxford University Press, Oxford, 1989, p. 207.
3. J. O. Indekeu, Int. J. Modern Phys. B, 1994, 8, 309.
4. H. T. Dobbs and J. O. Indekeu, Physica A, 1993, 201, 457.
5. J. O. Indekeu, Physica A, 1992, 183, 439.
6. T. Getta and S. Dietrich, Phys. Rev. E, 1998, 57, 655.
7. R. Aveyard, J. H. Clint, D. Nees and V. N. Paunov, Colloids Surf. A, 1998, in press.
8. J. Drelich, Colloids Surf. A, 1996, 116, 43.
9. D. Duncan, D. Li, J. Gaydos and A. W. Neumann, J. Colloid Interface Sci., 1995, 169, 256.
10. A. D. Aleksandrov, B. V. Toshev and A. D. Sheludko, Colloids Surf. A, 1993, 79, 43.
11. M. Iwamatsu and K. Horn, J. Colloid Interface Sci., 1996, 182, 400.
12. R. Aveyard, J. H. Clint and D. Nees, J. Chem. Soc., Faraday Trans., 1997, 93, 4409.
13. H. M. Princen, in Surface and Colloid Science, ed. E. Matijevic, Wiley, New York, 1969, vol. 2, p. 1.
14. F. M. Orr, L. E. Scriven and A. P. Rivas, J. Fluid Mech., 1975, 67, 723.
15. R. Defay, I. Prigogine, A. Bellemans and D. H. Everett, in Surface Tension and Adsorption, 1966, Longmans, London, p. 218.
16. J. N. Israelachvili, Intermolecular and Surface Forces, Academic Press, London, 1992.
17. A. Sheludko, B. V. Toshev and D. Platikanov, in The Modern Theory of Capillarity ed. R. C. Goodrich and A. I. Rusanov, Akademie-Verlag, Berlin, 1981, p. 163.
18. M. A. Fortes, J. Colloid Interface Sci., 1982, 88, 338.
19. F. R. E. De Bisschop and W. J. L. Rigole, J. Colloid Interface Sci., 1982, 88, 117.
20. G. Lian, C. Thornton and M. J. Adams, J. Colloid Interface Sci., 1993, 161, 138.
21. B. V. Derjaguin, N. V. Churaev and V. M. Muller, Surface Forces, Plenum Press: Consultants Bureau, New York, 1987.
22. J. H. Clint, unpublished work.
23. P. D. I. Fletcher, personal communication.
24. J. L. Finney, Proc. R. Soc. London Ser. A, 1970, 319, 479.
25. G. Mason and D. Mellor, J. Colloid Interface Sci, 1995, 176, 214.
26. H. K. Christenson, Colloids Surf. A, 1997, 123–124, 355.
27. J. Ch. Eriksson, St. Ljunggren and L. Odberg, J. Colloid and Interface Sci., 1992, 152, 368.
28. P. F. Luckham, personal communication.
29. L. Boruvka and A. W. Neumann, J. Chem. Phys., 1977, 66, 53.
30. B. V. Toshev and I. B. Ivanov, Colloid Polym. Sci., 1975, 253, 558.
31. R. Finn, Equilibrium Capillary Surfaces, Springer-Verlag, New York, 1986.
32. S. Hartland and R. W. Hartley, Axisymmetric Fluid–Liquid Interfaces, Elsevier, Amsterdam, 1976.