Long-wavelength stability of an unsupported multilayer liquid film falling under gravity
The long-wavelength stability of an unsupported multilayer liquid film falling under the effects of gravity and surface tension is investigated. By considering the Navier-Stokes equations for two fluid layers in the high-Reynolds-number and small-aspect-ratio limits the steady-state solutions are ob...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2009
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| _version_ | 1797093352176353280 |
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| author | Dyson, R Brander, J Breward, C Howell, P |
| author_facet | Dyson, R Brander, J Breward, C Howell, P |
| author_sort | Dyson, R |
| collection | OXFORD |
| description | The long-wavelength stability of an unsupported multilayer liquid film falling under the effects of gravity and surface tension is investigated. By considering the Navier-Stokes equations for two fluid layers in the high-Reynolds-number and small-aspect-ratio limits the steady-state solutions are obtained. The stability criterion found by Lin (J Fluid Mech 104:111-118, 1981) for a one-layer fluid curtain is generalised to the two-layer case and the criterion for an n-layer curtain is established. © Springer Science+Business Media B.V. 2009. |
| first_indexed | 2024-03-07T03:59:07Z |
| format | Journal article |
| id | oxford-uuid:c3ea8b1a-4774-4d33-aef3-99b0b9041875 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:59:07Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:c3ea8b1a-4774-4d33-aef3-99b0b90418752022-03-27T06:19:47ZLong-wavelength stability of an unsupported multilayer liquid film falling under gravityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c3ea8b1a-4774-4d33-aef3-99b0b9041875EnglishSymplectic Elements at Oxford2009Dyson, RBrander, JBreward, CHowell, PThe long-wavelength stability of an unsupported multilayer liquid film falling under the effects of gravity and surface tension is investigated. By considering the Navier-Stokes equations for two fluid layers in the high-Reynolds-number and small-aspect-ratio limits the steady-state solutions are obtained. The stability criterion found by Lin (J Fluid Mech 104:111-118, 1981) for a one-layer fluid curtain is generalised to the two-layer case and the criterion for an n-layer curtain is established. © Springer Science+Business Media B.V. 2009. |
| spellingShingle | Dyson, R Brander, J Breward, C Howell, P Long-wavelength stability of an unsupported multilayer liquid film falling under gravity |
| title | Long-wavelength stability of an unsupported multilayer liquid film falling under gravity |
| title_full | Long-wavelength stability of an unsupported multilayer liquid film falling under gravity |
| title_fullStr | Long-wavelength stability of an unsupported multilayer liquid film falling under gravity |
| title_full_unstemmed | Long-wavelength stability of an unsupported multilayer liquid film falling under gravity |
| title_short | Long-wavelength stability of an unsupported multilayer liquid film falling under gravity |
| title_sort | long wavelength stability of an unsupported multilayer liquid film falling under gravity |
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