When is a surface foam-phobic or foam-philic?
In: ISSN: 1744-683X, 2018
Online
academicJournal
Zugriff:
International audience ; By integrating the Young-Laplace equation, including the effects of gravity, we have calculated the equilibrium shape of the two-dimensional Plateau borders along which a vertical soap film contacts two flat, horizontal solid substrates of given wettability. We show that the Plateau borders, where most of a foam’s liquid resides, can only exist if the values of the Bond number Bo and ofthe liquid contact angle θc lie within certain domains in (θc, Bo) space: under these conditions the substrate is foam-philic. For values outside these domains, the substrate cannot support a soap film and is foam-phobic. In other words, on a substrate of a given wettability, only Plateau borders of a certain range of sizes can form. For given (θc, Bo), the top Plateau border can never have greater width or cross-sectional area than the bottom one. Moreover, the top Plateau border cannot exist in a steady state for contact angles above 90◦. Our conclusions are validated by comparison with both experimental and numerical (Surface Evolver) data. We conjecture that these results will hold, with slight modifications, for non-planar soap films and bubbles. Our results are also relevant to the motion of bubbles and foams in channels, where the friction force of the substrate on the Plateau borders plays an important role.
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When is a surface foam-phobic or foam-philic?
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Autor/in / Beteiligte Person: | Teixeira, Miguel ; Arscott, S. ; Cox, Simon ; Teixeira, Paulo ; Centro de Quimica Estrutural (CQE) ; Instituto Superior Técnico, Universidade Técnica de Lisboa (IST) ; Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 (IEMN) ; Centrale Lille-Institut supérieur de l'électronique et du numérique (ISEN)-Université de Valenciennes et du Hainaut-Cambrésis (UVHC)-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Université Polytechnique Hauts-de-France (UPHF) ; Nano and Microsystems - IEMN (NAM6 - IEMN) ; Centrale Lille-Institut supérieur de l'électronique et du numérique (ISEN)-Université de Valenciennes et du Hainaut-Cambrésis (UVHC)-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Université Polytechnique Hauts-de-France (UPHF)-Centrale Lille-Institut supérieur de l'électronique et du numérique (ISEN)-Université de Valenciennes et du Hainaut-Cambrésis (UVHC)-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Université Polytechnique Hauts-de-France (UPHF) ; Department of Physics ; Trinity College Dublin ; Instituto Politécnico de Lisboa (IPL) ; AcknowledgementsThe work of S. A. was partly supported by the French RENATECH network. S. J. C. thanks K. Brakke for his development andmaintenance of the Surface Evolver code and acknowledges funding from the MSCA-RISE project Matrixassay (ID: 644175).P. I. C. T. acknowledges financial support from the Fundaça˜o para a Cieˆncia e Tecnologia (Portugal) through contracts no.EXCL/FIS-NAN/0083/2012 and UID/FIS/00618/2013. S. A. would very much like to thank Thomas Arscott for fruitful discussionsconcerning the experimental setup. We are grateful to W. Drenckhan for a critical reading of the manuscript. ; network, RENATECH ; European Project: 644175,H2020,H2020-MSCA-RISE-2014,MATRIXASSAY(2015) |
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Zeitschrift: | ISSN: 1744-683X, 2018 |
Veröffentlichung: | HAL CCSD ; Royal Society of Chemistry, 2018 |
Medientyp: | academicJournal |
DOI: | 10.1039/c8sm00310f |
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