Archive for Rational Mechanics and Analysis

, Volume 183, Issue 3, pp 411–456

Surfactants in Foam Stability: A Phase-Field Model

Authors

    • Department of Mathematical SciencesCarnegie Mellon University
  • Massimiliano Morini
    • Classe di MatematicaSISSA
  • Valeriy Slastikov
    • Mathematics InstituteUniversity of Warwick
Article

DOI: 10.1007/s00205-006-0012-x

Cite this article as:
Fonseca, I., Morini, M. & Slastikov, V. Arch Rational Mech Anal (2007) 183: 411. doi:10.1007/s00205-006-0012-x

Abstract

The role of surfactants in stabilizing the formation of bubbles in foams is studied using a phase-field model. The analysis is centered on a van der Walls–Cahn– Hilliard-type energy with an added term which accounts for the interplay between the presence of a surfactant density and the creation of interfaces. In particular, it is concluded that the surfactant segregates to the interfaces, and that the prescription of the distribution of surfactant will dictate the locus of interfaces, which is in agreement with the experimental results.

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© Springer-Verlag 2006