Transient structures in rupturing thin-films: Marangoni-induced symmetry-breaking pattern formation in viscous fluids
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Published version
Author(s)
Shen, Li
Denner, Fabian
Morgan, N
Van Wachem, Berend
Dini, Daniele
Type
Journal Article
Abstract
In the minutes immediately preceeding the rupture of a soap bubble,
distinctive and repeatable patterns can be observed. These quasi-stable
transient structures are associated with the instabilities of the complex
Marangoni flows on the curved thin film in the presence of a surfactant
solution. Here, we report a generalised Cahn-Hilliard-Swift-Hohenberg model
derived using asymptotic theory which describes the quasi-elastic wrinkling
pattern formation and the consequent coarsening dynamics in a curved
surfactant-laden thin film. By testing the theory against experiments on soap
bubbles, we find quantitative agreement with the analytical predictions of the
nucleation and the early coarsening phases associated with the patterns. Our
findings provide fundamental physical understanding that can be used to
(de-)stabilise thin films in the presence of surfactants and have important
implications for both natural and industrial contexts, such as the production
of thin coating films, foams, emulsions and sprays.
distinctive and repeatable patterns can be observed. These quasi-stable
transient structures are associated with the instabilities of the complex
Marangoni flows on the curved thin film in the presence of a surfactant
solution. Here, we report a generalised Cahn-Hilliard-Swift-Hohenberg model
derived using asymptotic theory which describes the quasi-elastic wrinkling
pattern formation and the consequent coarsening dynamics in a curved
surfactant-laden thin film. By testing the theory against experiments on soap
bubbles, we find quantitative agreement with the analytical predictions of the
nucleation and the early coarsening phases associated with the patterns. Our
findings provide fundamental physical understanding that can be used to
(de-)stabilise thin films in the presence of surfactants and have important
implications for both natural and industrial contexts, such as the production
of thin coating films, foams, emulsions and sprays.
Date Issued
2020-07-08
Date Acceptance
2020-05-12
Citation
Science Advances, 2020, 6 (28)
ISSN
2375-2548
Publisher
American Association for the Advancement of Science
Journal / Book Title
Science Advances
Volume
6
Issue
28
Copyright Statement
Copyright © 2020 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution License 4.0 (CC BY). https://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/M021556/1
Publication Status
Published
Article Number
eabb0597
Date Publish Online
2020-07-08