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On the theory of capillarity of three-phase disperse systems

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Abstract

The distribution of a liquid over the height of a vertical column (with the lower part immersed in a wetting liquid) of close-packed solid spherical particles is studied. For such a system, the equilibrium distribution of the liquid in the three-phase region with a high expansion ratio is shown to be described by the same formulas as for a two-phase disperse system (high-expansion monodisperse foam), but the radius of spherical particles is used in the three-phase case instead of the radius of polyhedral foam cells of equivalent volume. Linear, surface, and bulk capillary forces acting in model three-phase systems with liquid “collars” between close-packed spherical particles are considered. Specific forces of capillary adhesion are shown to be independent of the specific volume of the liquid if it is small enough, but they increase with decreasing size of the particles. In the two-dimensional case with hexagonal packing of particles, these forces are also independent of the particle size.

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References

  1. Princen, H.M., in Surface and Colloid Science, Matijevic, E. and Erich, F.R., Eds., 1969, vol. 2, p. 1.

  2. Krotov, V.V., Kolloidn. Zh., 1980, vol. 42, no. 6, p. 1081.

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  3. Krotov, V.V. and Rusanov, A.I., Physicochemical Hydrodynamics of Capillary Systems, London: Imperial College Press, 1999, p. 475.

    Google Scholar 

  4. Adamson, A.W., Physical Chemistry of Surfaces, New York: Wiley, 1977.

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  5. Rusanov, A.I. and Prokhorov, V.A., Mezhfaznaya tenziometriya (Interfacial Tensiometry), St. Petersburg: Khimiya, 1994.

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Authors and Affiliations

  1. St. Petersburg State University (Petrodvorets branch), Universitetskii pr. 2, Petrodvorets, St. Petersburg, 198504, Russia

    V. V. Krotov

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  1. V. V. Krotov
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Original Russian Text © V.V. Krotov, 2006, published in Kolloidnyi Zhurnal, 2006, Vol. 68, No. 2, pp. 214–218.

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Krotov, V.V. On the theory of capillarity of three-phase disperse systems. Colloid J 68, 189–193 (2006). https://doi.org/10.1134/S1061933X06020104

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  • DOI: https://doi.org/10.1134/S1061933X06020104

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