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The asymptotic description of the moving contact line as a textbook singular perturbation problem: cracking an old nut

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conference contribution
posted on 28.09.2015, 13:40 by David Sibley, Andreas Nold, Serafim Kalliadasis
We revisit the classical matched asymptotic analysis of the moving contact line, a problem that has received considerable attention for several decades. The prevalent solution to the problem, considered classical now, involves a three-region asymptotic structure with an intermediate region deemed necessary as the inner and outer regions do not directly match. In this work, we describe why this classical solution is not the end of the story. In fact, we show that the textbook singular perturbation method of matching overlapping outer and boundary layer regions directly applies even to the moving contact line problem, thus correcting a several decades misconception.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

8GRACM

Citation

SIBLEY, D.N., NOLD, A. and KALLIADASIS, S., 2015. The asymptotic description of the moving contact line as a textbook singular perturbation problem: cracking an old nut. IN: Pelekasis, N. and Stavroulakis, G.E. (eds.) 8th GRACM International Congress on Computational Mechanics, Volos, Greece 12-15 July.

Publisher

© University of Thessaly Press

Version

VoR (Version of Record)

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/

Publication date

2015

Notes

This paper is a conference paper.

ISBN

9789609439367

Language

en

Location

Volos, Greece

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