Thermo-mechanically-consistent phase-field modeling of thin film flows

Miles, Christopher and van der Zee, Kristoffer George and Hubbard, Matthew E. and Mackenzie, Roderick (2018) Thermo-mechanically-consistent phase-field modeling of thin film flows. Lecture Notes in Computational Science and Engineering . ISSN 1439-7358 (In Press)

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Abstract

We use phase-field techniques coupled with a Coleman-Noll type procedure to derive a family of thermomechanically consistent models for predicting the evolution of a non volatile thin liquid film on a flat substrate starting from mass conservation laws and the second law of thermodynamics, and provide constraints which must be met when modeling the dependent variables within a constitutive class to ensure dissipation of the free energy. We show that existing models derived using different techniques and starting points fit within this family. We regularise a classical model derived using asymptotic techniques to obtain a model which better handles film rupture, and perform numerical simulations in 2 and 3 dimensions using linear finite elements in space and a convex splitting method in time to investigate the evolution of a flat thin film undergoing rupture and dewetting on a flat solid substrate.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Engineering
University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Depositing User: Eprints, Support
Date Deposited: 24 Jul 2018 10:00
Last Modified: 24 Jul 2019 04:30
URI: http://eprints.nottingham.ac.uk/id/eprint/53110

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