A Geometric Diffuse-Interface Method for Droplet Spreading

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Title: A Geometric Diffuse-Interface Method for Droplet Spreading
Authors: Holm, Darryl D.Ó Náraigh, LennonTronci, Cesare
Permanent link: http://hdl.handle.net/10197/11584
Date: Jan-2020
Online since: 2020-09-22T14:34:21Z
Abstract: This paper exploits the theory of geometric gradient flows to introduce an alternative regularization of the thin-film equation valid in the case of large-scale droplet spreading-the geometric diffuse-interface method. The method possesses some advantages when compared with the existing models of droplet spreading, namely the slip model, the precursor-film method and the diffuse-interface model. These advantages are discussed and a case is made for using the geometric diffuse-interface method for the purpose of numerical simulations. The mathematical solutions of the geometric diffuse interface method are explored via such numerical simulations for the simple and well-studied case of large-scale droplet spreading for a perfectly wetting fluid-we demonstrate that the new method reproduces Tanner's Law of droplet spreading via a simple and robust computational method, at a low computational cost. We discuss potential avenues for extending the method beyond the simple case of perfectly wetting fluids.
Funding Details: European Commission Horizon 2020
metadata.dc.description.othersponsorship: EPSRC Standard
Alexander von Humboldt Foundation
German Federal Ministry for Education and Research
Type of material: Journal Article
Publisher: Royal Society
Journal: Proceedings of the Royal Society A
Volume: 476
Issue: 2233
Copyright (published version): 2020 the Authors
Keywords: Contact-line flowsDiffuse-interface methodsGeometric mechanics
DOI: 10.1098/rspa.2019.0222
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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