Finding the point of no return: Dynamical systems theory applied to the moving contact-line instability

Keeler, Jack ORCID: https://orcid.org/0000-0002-8653-7970 and Sprittles, James (2023) Finding the point of no return: Dynamical systems theory applied to the moving contact-line instability. Current Opinion in Colloid & Interface Science, 67. ISSN 1879-0399

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Abstract

The wetting and dewetting of solid surfaces is ubiquitous in physical systems across a range of length scales, and it is well known that there are maximum speeds at which these processes are stable. Past this maximum, flow transitions occur, with films deposited on solids (dewetting) and the outer fluid entrained into the advancing one (wetting). These new flow states may be desirable, or not, and significant research effort has focused on understanding when and how they occur. Up until recently, numerical simulations captured these transitions by focussing on steady calculations. This review concentrates on advances made in the computation of the time-dependent problem, utilising dynamical systems theory. Facilitated via a linear stability analysis, unstable solutions act as ‘edge states’, which form the ‘point of no return’ for which perturbations from stable flow cease decaying and, significantly, show the system can become unstable before the maximum speed is achieved.

Item Type: Article
Additional Information: Funding Information: J.S.K gratefully acknowledges funding by the Leverhulme Trust , ECF-2021-017. J.E.S. gratefully acknowledges EPSRC under grants EP/W031426/1, EP/S022848/1 and EP/P031684/1. Rights retention statement: For the purpose of open access, the author has applied a CC BY public copyright licence to any Author Accepted Manuscript version arising from this submission.
Uncontrolled Keywords: dynamic wetting,moving contact-line instability,dynamical systems,dynamic wetting,polymers and plastics,surfaces and interfaces,physical and theoretical chemistry,colloid and surface chemistry ,/dk/atira/pure/subjectarea/asjc/2500/2507
Faculty \ School: Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups: Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024)
Faculty of Science > Research Groups > Fluids & Structures
Related URLs:
Depositing User: LivePure Connector
Date Deposited: 01 Aug 2023 09:30
Last Modified: 22 Dec 2024 01:27
URI: https://ueaeprints.uea.ac.uk/id/eprint/92743
DOI: 10.1016/j.cocis.2023.101724

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