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Publication 05-CNA-12

Surfactant in Foam Stability: A Phase Field Model

Irene Fonseca
Department of mathematical Sciences
Carnegie Mellon University
fonseca@andrew.cmu.edu

Massimiliano Morini
SISSA
Classe di Matematica
Via Beirut 2-4
34014 Miramare Grgnano, Trieste
Italy

Valeriy Slastikov
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
slastiko@andrew.cmu.edu

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 accounting 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 prescriptionof the distribution of surfactant will dictate the locus of interfaces, what is in agreement with experimentation.

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