On The Rupture of a Liquid Film Formed on a Droplet Crossing a Horizontal Liquid-Liquid Interface


A gravity droplet crossing a liquid-liquid interface is covered on the forefront with a film of the leaving liquid phase. The film thickness is not homogeneous over the droplet surface, and it reduces as the droplet penetrates the interface, particularly in the stretched area where it then ruptures. An expression for the film thickness in the stretched region is deduced from a force balance. The film rupture is expected to occur at a droplet position when the normal stress in the stretched film reaches the tensile strength of the liquid. By using some experimental data from literature the expression delivers 26 nm for the film thickness at rupture, while Burrill and Woods [1] obtained experimentally values between 30 nm and 50 nm.

Share and Cite:

J. Mitrovic, "On The Rupture of a Liquid Film Formed on a Droplet Crossing a Horizontal Liquid-Liquid Interface," Journal of Encapsulation and Adsorption Sciences, Vol. 2 No. 3, 2012, pp. 27-32. doi: 10.4236/jeas.2012.23005.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] R. Davis, J. Schonberg and J. Rallison, “The Lubrica?tion Force between Two Viscous Drops,” Physics of Fluids A, Vol. 1, No. 4, 1989, pp. 77-81.
[2] A. K. Chesters, “The Modelling of Coalescence in FluidLiquid Dispersions: A Review of Current Under?standing,” Transactions of the Institution of Chemical Engineers Part A, Vol. 69, No. 4, 1991, pp. 259-270.
[3] E. Klaseboer, J. Chevaillier, C. Gourdon and O. Masbernat, “Film Drainage between Colliding Drops at Constant Approach Velocity: Experiments and Modeling,” Journal of Colloid and Interface Sci-ence, Vol. 229, No. 1, 2000, pp. 274285.
[4] I. B. Bazhlekov, A. K. Chesters and F. N. van de Vosse, “The Effect of the Dispersed to Continu?ous-Phase Viscosity Ratio on Film Drainage be?twe?en Interacting Drops,” International Journal of Multi?phase Flow, Vol. 26, No. 1, 2000, pp. 445-466.
[5] F. E. Massoth, W. E. Hensel Jr. and W. W. Harlowe Jr., “Basic Studies of Encapsulation Process. Correlation of Capsule Size,” Industrial & Engineering Chemistry Process Design and Development, Vol. 4, No. 1, 1965, pp. 6-13. doi:10.1021/i260013a003
[6] M. Abkarian, E. Loiseau and G. Massiera, “Continuous Droplet Interface Crossing Encapsulation (cDICE) for High Throughput Monodisperse Vesicle Design,” Soft Matter, Vol. 7, 2011, pp. 4610-4614.
[7] G. Oldenziel, R. Delfos and J. Westerweel, “Measurements of Liquid Film Thickness for a Droplet at a TwoFluid Interface”, Physics of Fluids, Vol. 24, No. 2, 2012, Article ID: 022106. doi:10.1063/1.3684706
[8] D. Y. C. Chan, E. Klaseboer and R. Manica, “Film Drainage and Coalescence between Deformable Drops and Bubbles,” Soft Matter, Vol. 7, No. 6, 2011, pp. 2235-2264. doi:10.1039/c0sm00812e
[9] V. P. Skripov, “Metastable Liquids,” J. Wiley, New York and Toronto, 1974.
[10] P. R. Williams and R. L. Williams, “On Anoma?lously Low Values of the Tensile Strength of Water”, Proceedings of the Royal Society of London A, Vol. 456, No. 1998, 2000, pp. 1321-1332. doi:10.1098/rspa.2000.0564
[11] M. S. Barrow, W. R. Bowen, N. Hilal, A. Al-Hussany, P. R. Williams, R. L. Williams and C. J. Wright, “A Study of the Tensile Properties of Liquids in Confined Spaces Using an Atomic Force Microscope,” Proceedings of the Royal Society of London A, Vol. 459, No. 2039, 2003, pp. 2885-2908. doi:10.1098/rspa.2003.1128
[12] A. R. Imre, H. J. Maris and P. R. Williams, “Liquids under Negative Pressure,” Kluwer, Dordrecht, 2002.
[13] K. A Burrill and D. R. Woods, “Film Shapes for Deformable Drops at Liquid-Liquid Interfaces. II. The Mechanisms of Film Drainage,” Journal of Colloid and Interface Science, Vol. 42, No. 1, 1973, pp. 15-34. doi:10.1016/0021-9797(73)90004-0

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.