Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/22476

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: 2017
Publisher: International Union 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.
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.
Version: Accepted for publication
URI: https://dspace.lboro.ac.uk/2134/22476
Publisher Link: http://iutam.org/publications/ictam-proceedings/ictam_2016/
ISBN: 9780660054599
Appears in Collections:Conference Papers and Presentations (Maths)

Files associated with this item:

File Description SizeFormat
ICTAM16_Dallaston_2PagePDF.pdfAccepted version159.43 kBAdobe PDFView/Open

 

SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.