Inviscid instability of two-fluid free surface flow down an incline
The inviscid temporal stability analysis of two-fluid parallel shear flow with a free surface, down an incline, is studied. The velocity profiles are chosen as piecewise-linear with two limbs. The analysis reveals the existence of unstable inviscid modes, arising due to wave interaction between the...
| Main Authors: | , , , |
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| Format: | Article |
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Springer
2016
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| Online Access: | https://eprints.nottingham.ac.uk/33266/ |
| _version_ | 1848794596923932672 |
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| author | Ghosh, Sukhendu Usha, Ranganathan Govindarajan, Rama Tammisola, Outi |
| author_facet | Ghosh, Sukhendu Usha, Ranganathan Govindarajan, Rama Tammisola, Outi |
| author_sort | Ghosh, Sukhendu |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | The inviscid temporal stability analysis of two-fluid parallel shear flow with a free surface, down an incline, is studied. The velocity profiles are chosen as piecewise-linear with two limbs. The analysis reveals the existence of unstable inviscid modes, arising due to wave interaction between the free surface and the shear jump interface. Surface tension decreases the maximum growth rate of the dominant disturbance. Interestingly, in some limits, surface tension destabilises extremely short waves in this flow. This can happen because of the interaction with the shear-jump interface. This flow may be compared with a corresponding viscous two-fluid flow. Though viscosity modifies the stability properties of the flow system both qualitatively and quantitatively, there is qualitative agreement between the viscous and inviscid stability analysis when the less viscous fluid is closer to the free surface. |
| first_indexed | 2025-11-14T19:18:43Z |
| format | Article |
| id | nottingham-33266 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:18:43Z |
| publishDate | 2016 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-332662020-05-04T17:57:02Z https://eprints.nottingham.ac.uk/33266/ Inviscid instability of two-fluid free surface flow down an incline Ghosh, Sukhendu Usha, Ranganathan Govindarajan, Rama Tammisola, Outi The inviscid temporal stability analysis of two-fluid parallel shear flow with a free surface, down an incline, is studied. The velocity profiles are chosen as piecewise-linear with two limbs. The analysis reveals the existence of unstable inviscid modes, arising due to wave interaction between the free surface and the shear jump interface. Surface tension decreases the maximum growth rate of the dominant disturbance. Interestingly, in some limits, surface tension destabilises extremely short waves in this flow. This can happen because of the interaction with the shear-jump interface. This flow may be compared with a corresponding viscous two-fluid flow. Though viscosity modifies the stability properties of the flow system both qualitatively and quantitatively, there is qualitative agreement between the viscous and inviscid stability analysis when the less viscous fluid is closer to the free surface. Springer 2016-06-10 Article PeerReviewed Ghosh, Sukhendu, Usha, Ranganathan, Govindarajan, Rama and Tammisola, Outi (2016) Inviscid instability of two-fluid free surface flow down an incline. Meccanica . ISSN 1572-9648 (In Press) |
| spellingShingle | Ghosh, Sukhendu Usha, Ranganathan Govindarajan, Rama Tammisola, Outi Inviscid instability of two-fluid free surface flow down an incline |
| title | Inviscid instability of two-fluid free surface flow down an incline |
| title_full | Inviscid instability of two-fluid free surface flow down an incline |
| title_fullStr | Inviscid instability of two-fluid free surface flow down an incline |
| title_full_unstemmed | Inviscid instability of two-fluid free surface flow down an incline |
| title_short | Inviscid instability of two-fluid free surface flow down an incline |
| title_sort | inviscid instability of two-fluid free surface flow down an incline |
| url | https://eprints.nottingham.ac.uk/33266/ |