Self-similar rupture of viscous thin films in the strong-slip regime
We consider rupture of thin viscous films in the strong-slip regime with small Reynolds numbers. Numerical simulations indicate that near the rupture point viscosity and van der Waals forces are dominant and that there are self-similar solutions of the second kind. For a corresponding simplified mod...
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| Format: | Journal article |
| Language: | English |
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2010
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| author | Peschka, D Muench, A Niethammer, B |
| author_facet | Peschka, D Muench, A Niethammer, B |
| author_sort | Peschka, D |
| collection | OXFORD |
| description | We consider rupture of thin viscous films in the strong-slip regime with small Reynolds numbers. Numerical simulations indicate that near the rupture point viscosity and van der Waals forces are dominant and that there are self-similar solutions of the second kind. For a corresponding simplified model the self-similar behaviour is analysed rigorously. There exists a continuous one-parameter family of exact self-similar solutions. In a certain parameter regime necessary and sufficient conditions for convergence to a self-similar solution are established. A conjecture on the domains of attraction of all self-similar solutions is presented and supported by numerical simulations. © 2010 IOP Publishing Ltd and London Mathematical Society. |
| first_indexed | 2024-03-07T06:18:01Z |
| format | Journal article |
| id | oxford-uuid:f1be50ce-ced6-4581-bb00-706414268d8c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:18:01Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:f1be50ce-ced6-4581-bb00-706414268d8c2022-03-27T11:58:20ZSelf-similar rupture of viscous thin films in the strong-slip regimeJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f1be50ce-ced6-4581-bb00-706414268d8cEnglishSymplectic Elements at Oxford2010Peschka, DMuench, ANiethammer, BWe consider rupture of thin viscous films in the strong-slip regime with small Reynolds numbers. Numerical simulations indicate that near the rupture point viscosity and van der Waals forces are dominant and that there are self-similar solutions of the second kind. For a corresponding simplified model the self-similar behaviour is analysed rigorously. There exists a continuous one-parameter family of exact self-similar solutions. In a certain parameter regime necessary and sufficient conditions for convergence to a self-similar solution are established. A conjecture on the domains of attraction of all self-similar solutions is presented and supported by numerical simulations. © 2010 IOP Publishing Ltd and London Mathematical Society. |
| spellingShingle | Peschka, D Muench, A Niethammer, B Self-similar rupture of viscous thin films in the strong-slip regime |
| title | Self-similar rupture of viscous thin films in the strong-slip regime |
| title_full | Self-similar rupture of viscous thin films in the strong-slip regime |
| title_fullStr | Self-similar rupture of viscous thin films in the strong-slip regime |
| title_full_unstemmed | Self-similar rupture of viscous thin films in the strong-slip regime |
| title_short | Self-similar rupture of viscous thin films in the strong-slip regime |
| title_sort | self similar rupture of viscous thin films in the strong slip regime |
| work_keys_str_mv | AT peschkad selfsimilarruptureofviscousthinfilmsinthestrongslipregime AT muencha selfsimilarruptureofviscousthinfilmsinthestrongslipregime AT niethammerb selfsimilarruptureofviscousthinfilmsinthestrongslipregime |