Linear instability of asymmetric Poiseuille flows
We compute solutions for the Orr-Sommerfeld equations for the case of an asymmetric Poiseuille-like parallel flow. The calculations show that very small asymmetry has little effect on the prediction for linear instability of Poiseuille-like flow but that moderate asymmetry, such as found in channel...
| Главные авторы: | , |
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| Формат: | Report |
| Опубликовано: |
Unspecified
2007
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| _version_ | 1826297728610598912 |
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| author | Kachuma, D Sobey, I |
| author_facet | Kachuma, D Sobey, I |
| author_sort | Kachuma, D |
| collection | OXFORD |
| description | We compute solutions for the Orr-Sommerfeld equations for the case of an asymmetric Poiseuille-like parallel flow. The calculations show that very small asymmetry has little effect on the prediction for linear instability of Poiseuille-like flow but that moderate asymmetry, such as found in channel flow near an elongated wall vortex, has a large effect and that instability can occur at much lower (less than 100) Reynolds numbers. We give some characterisation of the instability. |
| first_indexed | 2024-03-07T04:36:06Z |
| format | Report |
| id | oxford-uuid:cff9fb38-f079-440f-aa0e-327c44b78e6b |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:36:06Z |
| publishDate | 2007 |
| publisher | Unspecified |
| record_format | dspace |
| spelling | oxford-uuid:cff9fb38-f079-440f-aa0e-327c44b78e6b2022-03-27T07:46:35ZLinear instability of asymmetric Poiseuille flows Reporthttp://purl.org/coar/resource_type/c_93fcuuid:cff9fb38-f079-440f-aa0e-327c44b78e6bMathematical Institute - ePrintsUnspecified2007Kachuma, DSobey, IWe compute solutions for the Orr-Sommerfeld equations for the case of an asymmetric Poiseuille-like parallel flow. The calculations show that very small asymmetry has little effect on the prediction for linear instability of Poiseuille-like flow but that moderate asymmetry, such as found in channel flow near an elongated wall vortex, has a large effect and that instability can occur at much lower (less than 100) Reynolds numbers. We give some characterisation of the instability. |
| spellingShingle | Kachuma, D Sobey, I Linear instability of asymmetric Poiseuille flows |
| title | Linear instability of asymmetric Poiseuille flows
|
| title_full | Linear instability of asymmetric Poiseuille flows
|
| title_fullStr | Linear instability of asymmetric Poiseuille flows
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| title_full_unstemmed | Linear instability of asymmetric Poiseuille flows
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| title_short | Linear instability of asymmetric Poiseuille flows
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| title_sort | linear instability of asymmetric poiseuille flows |
| work_keys_str_mv | AT kachumad linearinstabilityofasymmetricpoiseuilleflows AT sobeyi linearinstabilityofasymmetricpoiseuilleflows |