Variation of average coordination number with liquid fraction for two-dimensional foams with finite contact angle

Zefeng Jing; Chenchen Feng; Simon Cox; Stefan Hutzler

doi:10.1080/14786435.2021.1879402

Variation of average coordination number with liquid fraction for two-dimensional foams with finite contact angle

Zefeng Jing, Chenchen Feng, Simon Cox, Stefan Hutzler

Department of Mathematics

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Abstract

We present Surface Evolver computer simulations for two-dimensional (2d) foams in which the contact angle at which liquid films and Plateau borders meet is non-zero. We determine the average coordination number Z of bubbles over a wide range of finite contact angles θ and liquid fractions ϕ. We find a linear scaling of Z for values of ϕ between about 0.07 and 0.15, corroborating previous data obtained for the case of zero contact angle. The results highlight the importance of attractive bubble interactions for 2d foams.

Original language	English
Pages (from-to)	1048-1060
Number of pages	13
Journal	Philosophical Magazine
Volume	101
Issue number	9
DOIs	https://doi.org/10.1080/14786435.2021.1879402
Publication status	Published - 10 Feb 2021

Keywords

Bubbles
films
foams

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10.1080/14786435.2021.1879402

Accepted ManuscriptAccepted author manuscript, 2.56 MB

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@article{105b0ba492f240a9927b251e6f067281,

title = "Variation of average coordination number with liquid fraction for two-dimensional foams with finite contact angle",

abstract = "We present Surface Evolver computer simulations for two-dimensional (2d) foams in which the contact angle at which liquid films and Plateau borders meet is non-zero. We determine the average coordination number Z of bubbles over a wide range of finite contact angles θ and liquid fractions ϕ. We find a linear scaling of Z for values of ϕ between about 0.07 and 0.15, corroborating previous data obtained for the case of zero contact angle. The results highlight the importance of attractive bubble interactions for 2d foams.",

keywords = "Bubbles, films, foams",

author = "Zefeng Jing and Chenchen Feng and Simon Cox and Stefan Hutzler",

note = "Funding Information: This work is supported by the National Natural Science Foundation of China (No. 51706173), China Postdoctoral Science Foundation (No. 2017M613131), Foundation of China Scholarship Council, Shaanxi Province Postdoctoral Science Foundation (No. 2017BSHEDZZ43), Science Foundation Ireland (SFI) (grant number 13/IA/1926) and the European Space Agency project {\textquoteleft}Soft Matter Dynamics{\textquoteright} (contracts 4000115113 and 4000129502). We would like to thank K. Brakke for sharing and supporting the Surface Evolver software. We also thank the reviewers for their suggestions. Publisher Copyright: {\textcopyright} 2021 Informa UK Limited, trading as Taylor & Francis Group.",

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doi = "10.1080/14786435.2021.1879402",

language = "English",

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T1 - Variation of average coordination number with liquid fraction for two-dimensional foams with finite contact angle

AU - Jing, Zefeng

AU - Feng, Chenchen

AU - Cox, Simon

AU - Hutzler, Stefan

N1 - Funding Information: This work is supported by the National Natural Science Foundation of China (No. 51706173), China Postdoctoral Science Foundation (No. 2017M613131), Foundation of China Scholarship Council, Shaanxi Province Postdoctoral Science Foundation (No. 2017BSHEDZZ43), Science Foundation Ireland (SFI) (grant number 13/IA/1926) and the European Space Agency project ‘Soft Matter Dynamics’ (contracts 4000115113 and 4000129502). We would like to thank K. Brakke for sharing and supporting the Surface Evolver software. We also thank the reviewers for their suggestions. Publisher Copyright: © 2021 Informa UK Limited, trading as Taylor & Francis Group.

PY - 2021/2/10

Y1 - 2021/2/10

N2 - We present Surface Evolver computer simulations for two-dimensional (2d) foams in which the contact angle at which liquid films and Plateau borders meet is non-zero. We determine the average coordination number Z of bubbles over a wide range of finite contact angles θ and liquid fractions ϕ. We find a linear scaling of Z for values of ϕ between about 0.07 and 0.15, corroborating previous data obtained for the case of zero contact angle. The results highlight the importance of attractive bubble interactions for 2d foams.

AB - We present Surface Evolver computer simulations for two-dimensional (2d) foams in which the contact angle at which liquid films and Plateau borders meet is non-zero. We determine the average coordination number Z of bubbles over a wide range of finite contact angles θ and liquid fractions ϕ. We find a linear scaling of Z for values of ϕ between about 0.07 and 0.15, corroborating previous data obtained for the case of zero contact angle. The results highlight the importance of attractive bubble interactions for 2d foams.

KW - Bubbles

KW - films

KW - foams

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U2 - 10.1080/14786435.2021.1879402

DO - 10.1080/14786435.2021.1879402

M3 - Article

SN - 1478-6435

VL - 101

SP - 1048

EP - 1060

JO - Philosophical Magazine

JF - Philosophical Magazine

IS - 9

ER -

Variation of average coordination number with liquid fraction for two-dimensional foams with finite contact angle

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Soft matter dynamics

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Variation of average coordination number with liquid fraction for two-dimensional foams with finite contact angle

Abstract

Keywords

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Soft matter dynamics

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