Options
A Geometric Diffuse-Interface Method for Droplet Spreading
Author(s)
Date Issued
2020-01
Date Available
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.
Sponsorship
European Commission Horizon 2020
Other Sponsorship
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
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
File(s)
Loading...
Name
preprint.pdf
Size
584.6 KB
Format
Adobe PDF
Checksum (MD5)
9a923936300e002616814ee6a7a2b516
Owning collection