Gravity-driven thin-film flow on a flexible substrate
We study the flow of a thin liquid film along a flexible substrate. The flow is modelled using lubrication theory, assuming that gravity is the dominant driving force. The substrate is modelled as an elastic beam that deforms in two dimensions. Steady solutions are found using numerical and perturba...
| Päätekijät: | , , |
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| Aineistotyyppi: | Journal article |
| Julkaistu: |
Cambridge University Press
2013
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| _version_ | 1826292315634794496 |
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| author | Howell, P Robinson, J Stone, H |
| author_facet | Howell, P Robinson, J Stone, H |
| author_sort | Howell, P |
| collection | OXFORD |
| description | We study the flow of a thin liquid film along a flexible substrate. The flow is modelled using lubrication theory, assuming that gravity is the dominant driving force. The substrate is modelled as an elastic beam that deforms in two dimensions. Steady solutions are found using numerical and perturbation methods, and several different asymptotic regimes are identified. We obtain a complete characterization of how the length and stiffness of the beam and the imposed liquid flux determine the profile of the liquid film and the resulting beam deformation. |
| first_indexed | 2024-03-07T03:12:47Z |
| format | Journal article |
| id | oxford-uuid:b4c61bc7-4a7a-4431-a2fb-c084ac832c81 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:12:47Z |
| publishDate | 2013 |
| publisher | Cambridge University Press |
| record_format | dspace |
| spelling | oxford-uuid:b4c61bc7-4a7a-4431-a2fb-c084ac832c812022-03-27T04:28:38ZGravity-driven thin-film flow on a flexible substrateJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b4c61bc7-4a7a-4431-a2fb-c084ac832c81Symplectic Elements at OxfordCambridge University Press2013Howell, PRobinson, JStone, HWe study the flow of a thin liquid film along a flexible substrate. The flow is modelled using lubrication theory, assuming that gravity is the dominant driving force. The substrate is modelled as an elastic beam that deforms in two dimensions. Steady solutions are found using numerical and perturbation methods, and several different asymptotic regimes are identified. We obtain a complete characterization of how the length and stiffness of the beam and the imposed liquid flux determine the profile of the liquid film and the resulting beam deformation. |
| spellingShingle | Howell, P Robinson, J Stone, H Gravity-driven thin-film flow on a flexible substrate |
| title | Gravity-driven thin-film flow on a flexible substrate |
| title_full | Gravity-driven thin-film flow on a flexible substrate |
| title_fullStr | Gravity-driven thin-film flow on a flexible substrate |
| title_full_unstemmed | Gravity-driven thin-film flow on a flexible substrate |
| title_short | Gravity-driven thin-film flow on a flexible substrate |
| title_sort | gravity driven thin film flow on a flexible substrate |
| work_keys_str_mv | AT howellp gravitydriventhinfilmflowonaflexiblesubstrate AT robinsonj gravitydriventhinfilmflowonaflexiblesubstrate AT stoneh gravitydriventhinfilmflowonaflexiblesubstrate |