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Geometry and Topology of Two-Dimensional Dry Foams: Computer Simulation and Experimental Characterization

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Title: Geometry and Topology of Two-Dimensional Dry Foams: Computer Simulation and Experimental Characterization
Authors: Tong, M
Cole, K
Brito-Parada, PR
Neethling, S
Cilliers, JJ
Item Type: Journal Article
Abstract: Pseudo-two-dimensional (2D) foams are commonly used in foam studies as it is experimentally easier to measure the bubble size distribution and other geometric and topological properties of these foams than it is for a 3D foam. Despite the widespread use of 2D foams in both simulation and experimental studies, many important geometric and topological relationships are still not well understood. Film size, for example, is a key parameter in the stability of bubbles and the overall structure of foams. The relationship between the size distribution of the films in a foam and that of the bubbles themselves is thus a key relationship in the modeling and simulation of unstable foams. This work uses structural simulation from Surface Evolver to statistically analyze this relationship and to ultimately formulate a relationship for the film size in 2D foams that is shown to be valid across a wide range of different bubble polydispersities. These results and other topological features are then validated using digital image analysis of experimental pseudo-2D foams produced in a vertical Hele–Shaw cell, which contains a monolayer of bubbles between two plates. From both the experimental and computational results, it is shown that there is a distribution of sizes that a film can adopt and that this distribution is very strongly dependent on the sizes of the two bubbles to which the film is attached, especially the smaller one, but that it is virtually independent of the underlying polydispersity of the foam.
Issue Date: 27-Mar-2017
Date of Acceptance: 22-Mar-2017
URI: http://hdl.handle.net/10044/1/48412
DOI: https://dx.doi.org/10.1021/acs.langmuir.6b03663
ISSN: 0743-7463
Publisher: American Chemical Society
Start Page: 3839
End Page: 3846
Journal / Book Title: LANGMUIR
Volume: 33
Issue: 15
Copyright Statement: © 2017 American Chemical Society. This document is the Accepted Manuscript version of a Published Work that appeared in final form in Langmuir, after peer review and technical editing by the publisher. To access the final edited and published work see https://dx.doi.org/10.1021/acs.langmuir.6b03663
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Technological Resources PTY Ltd
Funder's Grant Number: EP/E028756/1
EP/F000286/1
3100429469
Keywords: Science & Technology
Physical Sciences
Technology
Chemistry, Multidisciplinary
Chemistry, Physical
Materials Science, Multidisciplinary
Chemistry
Materials Science
QUASI-2-DIMENSIONAL FOAMS
ARRANGEMENT
DRAINAGE
CELLS
NET
Chemical Physics
MD Multidisciplinary
Publication Status: Published
Appears in Collections:Earth Science and Engineering
Faculty of Engineering