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Axisymmetric self-similar rupture of thin films with general disjoining pressure
conference contribution
posted on 2016-09-16, 13:25 authored by Michael C. Dallaston, Dmitri TseluikoDmitri Tseluiko, Serafim Kalliadasis, Zhong Zheng, Marco Fontelos, Howard StoneA 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.
History
School
- Science
Department
- Mathematical Sciences
Published in
24th International Congress of Theoretical and Applied MechanicsCitation
DALLASTON, M. ... et al, 2017. Axisymmetric self-similar rupture of thin films with general disjoining pressure. IN: Floryan, J.M. (ed.). Contributions to the Foundations of Multidisciplinary Research in Mechanics: papers presented during the 24th International Congress of Theoretical and Applied Mechanics (ICTAM 2016), Montreal, Canada, 22-26 August 2016, vol. 2, pp.1034-1035.Publisher
International Union of Theoretical and Applied MechanicsVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2016-01-15Publication date
2017Notes
This is a conference paper.ISBN
9780660054599Publisher version
Language
- en