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Instability of stretched and twisted soap films in a cylinder

Presented by: 
S Cox [Abersytwyth]
Wednesday 26th February 2014 - 12:05 to 12:30
INI Seminar Room 1
Session Title: 
Structure and dynamics of soap films and clusters of bubbles
Co-author: Sian Jones (Aberystwyth/Paris Sud)

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.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons