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...
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| Format: | Report |
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Oxford University Computing Laboratory
2007
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| _version_ | 1826298023146160128 |
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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 | 2024-03-07T04:40:30Z |
| format | Report |
| id | oxford-uuid:d176a82f-ba63-4d3c-b7a2-ec7f05f8942c |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:40:30Z |
| publishDate | 2007 |
| publisher | Oxford University Computing Laboratory |
| record_format | dspace |
| spelling | oxford-uuid:d176a82f-ba63-4d3c-b7a2-ec7f05f8942c2022-03-27T07:57:11ZLinear instability of asymmetric Poiseuille flowsReporthttp://purl.org/coar/resource_type/c_93fcuuid:d176a82f-ba63-4d3c-b7a2-ec7f05f8942cDepartment of Computer ScienceOxford University Computing Laboratory2007Kachuma, 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 |
| title_full_unstemmed | Linear instability of asymmetric Poiseuille flows |
| title_short | Linear instability of asymmetric Poiseuille flows |
| title_sort | linear instability of asymmetric poiseuille flows |
| work_keys_str_mv | AT kachumad linearinstabilityofasymmetricpoiseuilleflows AT sobeyi linearinstabilityofasymmetricpoiseuilleflows |