Vortices in rotating and stratified flows: aspect ratio and sustainability
In linear stratifications, vortices have a typical flat shape that appears to be not only a compromise between the rotation and the stratification of the background flow through their Coriolis parameter f and buoyancy frequency hbox{$ar{N}$} N̅ , but also involves the buoyancy frequency Nc wit...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2013-04-01
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| Series: | EPJ Web of Conferences |
| Online Access: | http://dx.doi.org/10.1051/epjconf/20134605004 |
| _version_ | 1818381625598148608 |
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| author | Le Gal P. Le Bars M. Aubert O. Marcus P. S. |
| author_facet | Le Gal P. Le Bars M. Aubert O. Marcus P. S. |
| author_sort | Le Gal P. |
| collection | DOAJ |
| description | In linear stratifications, vortices have a typical flat shape that appears to be not only a compromise between the rotation and the stratification of the background flow through their Coriolis parameter f and buoyancy frequency hbox{$ar{N}$} N̅ , but also involves the buoyancy frequency Nc within the vortices and their Rossby number Ro. We derive an analytical solution for the self-similar ellipsoidal shape of the vortices and the law for their aspect ratio. From this law, we show that long-lived vortices must necessary be either weakly stratified anticyclones or superstratified cyclones (which is less likely to occur). These predictions are experimentally and numerically verified and agree with published measurements for Jovian vortices and ocean meddies. This approach can be applied to a gaussian stratification to give good insights of the shape of vortices in protoplanetary disks and their sustainability. |
| first_indexed | 2024-12-14T02:37:33Z |
| format | Article |
| id | doaj.art-93d754d53b3546dba1d705461c86f718 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-14T02:37:33Z |
| publishDate | 2013-04-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-93d754d53b3546dba1d705461c86f7182022-12-21T23:20:05ZengEDP SciencesEPJ Web of Conferences2100-014X2013-04-01460500410.1051/epjconf/20134605004Vortices in rotating and stratified flows: aspect ratio and sustainabilityLe Gal P.Le Bars M.Aubert O.Marcus P. S.In linear stratifications, vortices have a typical flat shape that appears to be not only a compromise between the rotation and the stratification of the background flow through their Coriolis parameter f and buoyancy frequency hbox{$ar{N}$} N̅ , but also involves the buoyancy frequency Nc within the vortices and their Rossby number Ro. We derive an analytical solution for the self-similar ellipsoidal shape of the vortices and the law for their aspect ratio. From this law, we show that long-lived vortices must necessary be either weakly stratified anticyclones or superstratified cyclones (which is less likely to occur). These predictions are experimentally and numerically verified and agree with published measurements for Jovian vortices and ocean meddies. This approach can be applied to a gaussian stratification to give good insights of the shape of vortices in protoplanetary disks and their sustainability.http://dx.doi.org/10.1051/epjconf/20134605004 |
| spellingShingle | Le Gal P. Le Bars M. Aubert O. Marcus P. S. Vortices in rotating and stratified flows: aspect ratio and sustainability EPJ Web of Conferences |
| title | Vortices in rotating and stratified flows: aspect ratio and sustainability |
| title_full | Vortices in rotating and stratified flows: aspect ratio and sustainability |
| title_fullStr | Vortices in rotating and stratified flows: aspect ratio and sustainability |
| title_full_unstemmed | Vortices in rotating and stratified flows: aspect ratio and sustainability |
| title_short | Vortices in rotating and stratified flows: aspect ratio and sustainability |
| title_sort | vortices in rotating and stratified flows aspect ratio and sustainability |
| url | http://dx.doi.org/10.1051/epjconf/20134605004 |
| work_keys_str_mv | AT legalp vorticesinrotatingandstratifiedflowsaspectratioandsustainability AT lebarsm vorticesinrotatingandstratifiedflowsaspectratioandsustainability AT auberto vorticesinrotatingandstratifiedflowsaspectratioandsustainability AT marcusps vorticesinrotatingandstratifiedflowsaspectratioandsustainability |