@Article{EAJAM-7-615,
author = {Yongsam Kim, Ming-Chih Lai and Yunchang Seol},
title = {Simulation of a Soap Film Möbius Strip Transformation},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {7},
number = {3},
pages = {615--628},
abstract = {<p style="text-align: justify;">If the closed wire frame of a soap film having the shape of a Möbius strip
is pulled apart and gradually deformed into a planar circle, the soap film transforms
into a two-sided orientable surface. In the presence of a finite-time twist singularity,
which changes the linking number of the film’s Plateau border and the centreline of the
wire, the topological transformation involves the collapse of the film toward the wire. In
contrast to experimental studies of this process reported elsewhere, we use a numerical
approach based on the immersed boundary method, which treats the soap film as a
massless membrane in a Navier-Stokes fluid. In addition to known effects, we discover
vibrating motions of the film arising after the topological change is completed, similar
to the vibration of a circular membrane.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.070217.120617a},
url = {http://global-sci.org/intro/article_detail/eajam/10768.html}
}