Thermo-mechanically-consistent phase-field modeling of thin film flows
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 provi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2018
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| Online Access: | https://eprints.nottingham.ac.uk/53110/ |
| _version_ | 1848798880063291392 |
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| author | Miles, Christopher van der Zee, Kristoffer George Hubbard, Matthew E. Mackenzie, Roderick |
| author_facet | Miles, Christopher van der Zee, Kristoffer George Hubbard, Matthew E. Mackenzie, Roderick |
| author_sort | Miles, Christopher |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:26:48Z |
| format | Article |
| id | nottingham-53110 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:26:48Z |
| publishDate | 2018 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-531102019-07-24T04:30:15Z https://eprints.nottingham.ac.uk/53110/ Thermo-mechanically-consistent phase-field modeling of thin film flows Miles, Christopher van der Zee, Kristoffer George Hubbard, Matthew E. Mackenzie, Roderick 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. Springer 2018-06-25 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/53110/1/miles_vanderZee_hubbard_macKenzie_NottmEPrint2018.pdf Miles, Christopher, van der Zee, Kristoffer George, 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) |
| spellingShingle | Miles, Christopher van der Zee, Kristoffer George Hubbard, Matthew E. Mackenzie, Roderick Thermo-mechanically-consistent phase-field modeling of thin film flows |
| title | Thermo-mechanically-consistent phase-field modeling of thin film flows |
| title_full | Thermo-mechanically-consistent phase-field modeling of thin film flows |
| title_fullStr | Thermo-mechanically-consistent phase-field modeling of thin film flows |
| title_full_unstemmed | Thermo-mechanically-consistent phase-field modeling of thin film flows |
| title_short | Thermo-mechanically-consistent phase-field modeling of thin film flows |
| title_sort | thermo-mechanically-consistent phase-field modeling of thin film flows |
| url | https://eprints.nottingham.ac.uk/53110/ |