Thin-film rupture for large slip
The rupture of thin liquid films on hydrophobic substrates, assuming large slip at the liquid-solid interface, is studied using a recently developed strong slip lubrication model, it is shown that the rupture passes through up to three self-similar regimes with different dominant balances and differ...
Main Authors: | , , |
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Format: | Journal article |
Language: | English |
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2010
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_version_ | 1797084948689059840 |
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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 | The rupture of thin liquid films on hydrophobic substrates, assuming large slip at the liquid-solid interface, is studied using a recently developed strong slip lubrication model, it is shown that the rupture passes through up to three self-similar regimes with different dominant balances and different scaling exponents. For one of these regimes the similarity is of second kind, and the similarity exponent is determined by solving a boundary-value problem for a nonlinear ODE. Furthermore, finite-time rupture is proved for this regime. © Springer Science+Business Media B.V. 2009. |
first_indexed | 2024-03-07T02:02:15Z |
format | Journal article |
id | oxford-uuid:9dc223cf-e428-447a-ba6c-a90e64e058ba |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T02:02:15Z |
publishDate | 2010 |
record_format | dspace |
spelling | oxford-uuid:9dc223cf-e428-447a-ba6c-a90e64e058ba2022-03-27T00:45:24ZThin-film rupture for large slipJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9dc223cf-e428-447a-ba6c-a90e64e058baEnglishSymplectic Elements at Oxford2010Peschka, DMuench, ANiethammer, BThe rupture of thin liquid films on hydrophobic substrates, assuming large slip at the liquid-solid interface, is studied using a recently developed strong slip lubrication model, it is shown that the rupture passes through up to three self-similar regimes with different dominant balances and different scaling exponents. For one of these regimes the similarity is of second kind, and the similarity exponent is determined by solving a boundary-value problem for a nonlinear ODE. Furthermore, finite-time rupture is proved for this regime. © Springer Science+Business Media B.V. 2009. |
spellingShingle | Peschka, D Muench, A Niethammer, B Thin-film rupture for large slip |
title | Thin-film rupture for large slip |
title_full | Thin-film rupture for large slip |
title_fullStr | Thin-film rupture for large slip |
title_full_unstemmed | Thin-film rupture for large slip |
title_short | Thin-film rupture for large slip |
title_sort | thin film rupture for large slip |
work_keys_str_mv | AT peschkad thinfilmruptureforlargeslip AT muencha thinfilmruptureforlargeslip AT niethammerb thinfilmruptureforlargeslip |