Abstract
The Batchelor vortex is adopted as the mathematical model of swirling flow. The modes of the Batchelor vortex fall into three broad categories: core modes, algebraic modes and continuous modes. The core modes have been extensively documented but the last two modes have received little attention. The energy growth of those modes are studied by employing asymptotical instability analysis and transient growth analysis. The spectra map of the Batchelor vortex is obtain and the variation of radial distribution of the continuous modes with wave numbers is investigated.
| Original language | English |
|---|---|
| Title of host publication | 7th IUTAM Symposium on Laminar-Turbulent Transition - Proceedings of the 7th IUTAM Symposium on Laminar-Turbulent Transition |
| Publisher | Springer Verlag |
| Pages | 247-252 |
| Number of pages | 6 |
| ISBN (Print) | 9789048137220 |
| DOIs | |
| Publication status | Published - 2010 |
| Externally published | Yes |
| Event | 7th IUTAM Symposium on Laminar-Turbulent Transition - Stockholm, Sweden Duration: 23 Jun 2009 → 26 Jun 2009 |
Publication series
| Name | IUTAM Bookseries |
|---|---|
| Volume | 18 |
| ISSN (Print) | 1875-3507 |
Conference
| Conference | 7th IUTAM Symposium on Laminar-Turbulent Transition |
|---|---|
| Country/Territory | Sweden |
| City | Stockholm |
| Period | 23/06/09 → 26/06/09 |
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Mao, X., & Sherwin, S. J. (2010). Spectra of swirling flow. In 7th IUTAM Symposium on Laminar-Turbulent Transition - Proceedings of the 7th IUTAM Symposium on Laminar-Turbulent Transition (pp. 247-252). (IUTAM Bookseries; Vol. 18). Springer Verlag. https://doi.org/10.1007/978-90-481-3723-7_39