Towards the development of analytical tornado-like models
In this paper, we analyze and develop modifications to two well-known analytical tornado-like models. First, the vortex sink with axial flow (VSAF) model is compared with results obtained from the vortex generator. It is shown that in a cylindrical coordinate system a secondary circulation at the to...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2018-12-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.5055391 |
| _version_ | 1818270401429504000 |
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| author | D. Elsaesser K. Fedorowicz S. Utyuzhnikov |
| author_facet | D. Elsaesser K. Fedorowicz S. Utyuzhnikov |
| author_sort | D. Elsaesser |
| collection | DOAJ |
| description | In this paper, we analyze and develop modifications to two well-known analytical tornado-like models. First, the vortex sink with axial flow (VSAF) model is compared with results obtained from the vortex generator. It is shown that in a cylindrical coordinate system a secondary circulation at the tornado corner region can be responsible for structural discrepancies and vorticity distribution. A tangential velocity field is implemented in the VSAF model to predict an experimental distribution. A novel model is proposed to capture the secondary circulation. A modified model of the VSAF is introduced with piecewise-constant coefficients that enables to predict a shape of a tornado vortex. Further scaling analysis confirms dimensional similarity of tornadoes. The VSAF model is also modified using a Boussinesq-like approximation to take into account the effect of a buoyancy force within a tornado. Finally, the two-fluid model by Yih is used to show the influence of the atmospheric stratification on the radius of tornado. |
| first_indexed | 2024-12-12T21:09:42Z |
| format | Article |
| id | doaj.art-2c22814866ea4ece93f2de9a2367492c |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-12T21:09:42Z |
| publishDate | 2018-12-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-2c22814866ea4ece93f2de9a2367492c2022-12-22T00:11:55ZengAIP Publishing LLCAIP Advances2158-32262018-12-01812125106125106-1510.1063/1.5055391037811ADVTowards the development of analytical tornado-like modelsD. Elsaesser0K. Fedorowicz1S. Utyuzhnikov2School of MACE, University of Manchester, Manchester, M13 9PL, United KingdomSchool of MACE, University of Manchester, Manchester, M13 9PL, United KingdomSchool of MACE, University of Manchester, Manchester, M13 9PL, United KingdomIn this paper, we analyze and develop modifications to two well-known analytical tornado-like models. First, the vortex sink with axial flow (VSAF) model is compared with results obtained from the vortex generator. It is shown that in a cylindrical coordinate system a secondary circulation at the tornado corner region can be responsible for structural discrepancies and vorticity distribution. A tangential velocity field is implemented in the VSAF model to predict an experimental distribution. A novel model is proposed to capture the secondary circulation. A modified model of the VSAF is introduced with piecewise-constant coefficients that enables to predict a shape of a tornado vortex. Further scaling analysis confirms dimensional similarity of tornadoes. The VSAF model is also modified using a Boussinesq-like approximation to take into account the effect of a buoyancy force within a tornado. Finally, the two-fluid model by Yih is used to show the influence of the atmospheric stratification on the radius of tornado.http://dx.doi.org/10.1063/1.5055391 |
| spellingShingle | D. Elsaesser K. Fedorowicz S. Utyuzhnikov Towards the development of analytical tornado-like models AIP Advances |
| title | Towards the development of analytical tornado-like models |
| title_full | Towards the development of analytical tornado-like models |
| title_fullStr | Towards the development of analytical tornado-like models |
| title_full_unstemmed | Towards the development of analytical tornado-like models |
| title_short | Towards the development of analytical tornado-like models |
| title_sort | towards the development of analytical tornado like models |
| url | http://dx.doi.org/10.1063/1.5055391 |
| work_keys_str_mv | AT delsaesser towardsthedevelopmentofanalyticaltornadolikemodels AT kfedorowicz towardsthedevelopmentofanalyticaltornadolikemodels AT sutyuzhnikov towardsthedevelopmentofanalyticaltornadolikemodels |