Instability of stretched and twisted soap films in a cylinder

S. J. Cox; Sian Angharad Jones

doi:10.1007/s10665-013-9657-2

Instability of stretched and twisted soap films in a cylinder

S. J. Cox, Sian Angharad Jones

Université Paris Sud

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

5 Dyfyniadau (Scopus)

103 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

A soap film, or a flexible area-minimizing membrane without bending and torsional stiffness, that is confined in a cylinder is shown to be susceptible to a surface-tension-driven instability when it is stretched or twisted. This leads to its breakdown and places an upper limit on the aspect ratio of such structures. A simple analysis confirms the values for the critical aspect ratio of the stretched film found in both simulations and experiments on soap films, and this threshold decreases with increasing twist of the film.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	1-7
Nifer y tudalennau	7
Cyfnodolyn	Journal of Engineering Mathematics
Cyfrol	86
Rhif cyhoeddi	1
Dyddiad ar-lein cynnar	28 Awst 2013
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1007/s10665-013-9657-2
Statws	Cyhoeddwyd - Meh 2014

Mynediad at Ddogfen

10.1007/s10665-013-9657-2

twisted_film_05g
S.J. Cox and S.A. Jones (2013) Instability of stretched and twisted soap films in a cylinder. J. Eng. Math.
Llawysgrif awdur wedi’i dderbyn, 581 KB

Cysylltiad parhaol

Dolen barhaus

Ffeiliau eraill a chysylltiadau

http://hdl.handle.net/2160/13570

Dyfynnu hyn

@article{e5ae516b05df4568a5c43fd3100c48e8,

title = "Instability of stretched and twisted soap films in a cylinder",

abstract = "A soap film, or a flexible area-minimizing membrane without bending and torsional stiffness, that is confined in a cylinder is shown to be susceptible to a surface-tension-driven instability when it is stretched or twisted. This leads to its breakdown and places an upper limit on the aspect ratio of such structures. A simple analysis confirms the values for the critical aspect ratio of the stretched film found in both simulations and experiments on soap films, and this threshold decreases with increasing twist of the film.",

keywords = "elastic membranes, soap films, surface-tension-driven instability, surface evolver",

author = "Cox, {S. J.} and Jones, {Sian Angharad}",

note = "Cox, S. J., Jones, S. A. (2014) Instability of stretched and twisted soap films in a cylinder. Journal of Engineering Mathematics, 86:1-7 Sponsorship: EPSRC RONO: EP/F000049/1",

year = "2014",

month = jun,

doi = "10.1007/s10665-013-9657-2",

language = "English",

volume = "86",

pages = "1--7",

journal = "Journal of Engineering Mathematics",

issn = "0022-0833",

publisher = "Springer Nature",

number = "1",

}

TY - JOUR

T1 - Instability of stretched and twisted soap films in a cylinder

AU - Cox, S. J.

AU - Jones, Sian Angharad

N1 - Cox, S. J., Jones, S. A. (2014) Instability of stretched and twisted soap films in a cylinder. Journal of Engineering Mathematics, 86:1-7 Sponsorship: EPSRC RONO: EP/F000049/1

PY - 2014/6

Y1 - 2014/6

N2 - A soap film, or a flexible area-minimizing membrane without bending and torsional stiffness, that is confined in a cylinder is shown to be susceptible to a surface-tension-driven instability when it is stretched or twisted. This leads to its breakdown and places an upper limit on the aspect ratio of such structures. A simple analysis confirms the values for the critical aspect ratio of the stretched film found in both simulations and experiments on soap films, and this threshold decreases with increasing twist of the film.

AB - A soap film, or a flexible area-minimizing membrane without bending and torsional stiffness, that is confined in a cylinder is shown to be susceptible to a surface-tension-driven instability when it is stretched or twisted. This leads to its breakdown and places an upper limit on the aspect ratio of such structures. A simple analysis confirms the values for the critical aspect ratio of the stretched film found in both simulations and experiments on soap films, and this threshold decreases with increasing twist of the film.

KW - elastic membranes

KW - soap films

KW - surface-tension-driven instability

KW - surface evolver

UR - http://hdl.handle.net/2160/13570

U2 - 10.1007/s10665-013-9657-2

DO - 10.1007/s10665-013-9657-2

M3 - Article

AN - SCOPUS:84899984914

SN - 0022-0833

VL - 86

SP - 1

EP - 7

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

IS - 1

ER -

Instability of stretched and twisted soap films in a cylinder

Crynodeb

Mynediad at Ddogfen

Cysylltiad parhaol

Ffeiliau eraill a chysylltiadau

Ôl bys

Dyfynnu hyn