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Title: Axisymmetric self-similar rupture of thin films with general disjoining pressure
Authors: Dallaston, Michael C.
Tseluiko, Dmitri
Kalliadasis, Serafim
Zheng, Zhong
Fontelos, Marco
Stone, Howard
Issue Date: 2016
Publisher: Elsevier
Citation: DALLASTON, M. ... et al, 2016. Axisymmetric self-similar rupture of thin films with general disjoining pressure. Procedia IUTAM, In Press.
Abstract: A thin film coating a dewetting substrate may be unstable to perturbations in the thickness, which leads to finite time rupture. The self-similar nature of the rupture has been studied by numerous authors for a particular form of the disjoining pressure, with exponent n = 3. In the present study we use a numerical continuation method to compute discrete solutions to self-similar rupture for a general disjoining pressure exponent n. Pairs of solution branches merge when n is close to unity, indicating that a more detailed examination of the dynamics of a thin film in this regime is warranted. We also numerically evaluate the power law behaviour of characteristic quantities of solutions in the limit of large branch number.
Description: This is a conference paper presented at XXIV ICTAM, 21-26 August 2016, Montreal, Canada. It is in closed access until it is published.
Version: Accepted for publication
URI: https://dspace.lboro.ac.uk/2134/22476
Publisher Link: http://www.journals.elsevier.com/procedia-iutam
ISSN: 2210-9838
Appears in Collections:Closed Access (Maths)

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