The structure of a dewetting rim with strong slip: The long-time evolution
When a thin viscous film dewets from a solid substrate, the liquid forms a characteristic rim near the contact line as the contact line retracts. The shape of the rim and also the retraction rate vary strongly with the amount of slip that occurs at the liquid-solid substrate. If the slip length is v...
| Main Authors: | , , |
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| Format: | Journal article |
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Society for Industrial and Applied Mathematics
2018
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| _version_ | 1826261204813742080 |
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| author | Evans, PL King, JR Muench, A |
| author_facet | Evans, PL King, JR Muench, A |
| author_sort | Evans, PL |
| collection | OXFORD |
| description | When a thin viscous film dewets from a solid substrate, the liquid forms a characteristic rim near the contact line as the contact line retracts. The shape of the rim and also the retraction rate vary strongly with the amount of slip that occurs at the liquid-solid substrate. If the slip length is very large compared to the thickness of the film, extensional stresses dominate the shear stresses, and the film evolution can be modeled by a thin-film model similar to the ones that occur in freely suspended films, with a correction from the viscous friction due to the large but finite slip. Asymptotic investigation of this model reveals that the rim has an amazingly rich asymptotic structure that moreover changes as the solution passes through four distinct time regimes. This paper continues previous work that focused on the first of these regimes [P. L. Evans, J. R. King, and A. Münch, Appl. Math. Res. Express. AMRX, 2006 (2006), 25262]. The structure of the solution is analyzed in detail via matched asymptotics and then the predictions for the contact line and profile evolution are compared with numerical results. |
| first_indexed | 2024-03-06T19:17:51Z |
| format | Journal article |
| id | oxford-uuid:19092502-f743-4c5d-9dc9-66feb3c3e825 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:17:51Z |
| publishDate | 2018 |
| publisher | Society for Industrial and Applied Mathematics |
| record_format | dspace |
| spelling | oxford-uuid:19092502-f743-4c5d-9dc9-66feb3c3e8252022-03-26T10:46:37ZThe structure of a dewetting rim with strong slip: The long-time evolutionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:19092502-f743-4c5d-9dc9-66feb3c3e825Symplectic Elements at OxfordSociety for Industrial and Applied Mathematics2018Evans, PLKing, JRMuench, AWhen a thin viscous film dewets from a solid substrate, the liquid forms a characteristic rim near the contact line as the contact line retracts. The shape of the rim and also the retraction rate vary strongly with the amount of slip that occurs at the liquid-solid substrate. If the slip length is very large compared to the thickness of the film, extensional stresses dominate the shear stresses, and the film evolution can be modeled by a thin-film model similar to the ones that occur in freely suspended films, with a correction from the viscous friction due to the large but finite slip. Asymptotic investigation of this model reveals that the rim has an amazingly rich asymptotic structure that moreover changes as the solution passes through four distinct time regimes. This paper continues previous work that focused on the first of these regimes [P. L. Evans, J. R. King, and A. Münch, Appl. Math. Res. Express. AMRX, 2006 (2006), 25262]. The structure of the solution is analyzed in detail via matched asymptotics and then the predictions for the contact line and profile evolution are compared with numerical results. |
| spellingShingle | Evans, PL King, JR Muench, A The structure of a dewetting rim with strong slip: The long-time evolution |
| title | The structure of a dewetting rim with strong slip: The long-time evolution |
| title_full | The structure of a dewetting rim with strong slip: The long-time evolution |
| title_fullStr | The structure of a dewetting rim with strong slip: The long-time evolution |
| title_full_unstemmed | The structure of a dewetting rim with strong slip: The long-time evolution |
| title_short | The structure of a dewetting rim with strong slip: The long-time evolution |
| title_sort | structure of a dewetting rim with strong slip the long time evolution |
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