Loughborough University
Browse
ICTAM16_Dallaston_2PagePDF.pdf (159.43 kB)

Axisymmetric self-similar rupture of thin films with general disjoining pressure

Download (159.43 kB)
conference contribution
posted on 2016-09-16, 13:25 authored by Michael C. Dallaston, Dmitri TseluikoDmitri Tseluiko, Serafim Kalliadasis, Zhong Zheng, Marco Fontelos, Howard Stone
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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

24th International Congress of Theoretical and Applied Mechanics

Citation

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 Mechanics

Version

  • 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

2016-01-15

Publication date

2017

Notes

This is a conference paper.

ISBN

9780660054599

Language

  • en

Location

Montreal, Canada

Usage metrics

    Loughborough Publications

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC