Review of Analytical Approaches for Simulating Motions of Helical Vortex
The study investigates helical vortices, which are fundamental structures in fluid dynamics, and a basic model of tip vortices behind wind turbines. In connection with the intensive development of wind energy, interest in modeling helical vortex wakes behind the rotors has increased. Therefore, the...
| Автори: | , |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Frontiers Media S.A.
2022-02-01
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| Серія: | Frontiers in Energy Research |
| Предмети: | |
| Онлайн доступ: | https://www.frontiersin.org/articles/10.3389/fenrg.2022.817941/full |
| _version_ | 1828854621887528960 |
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| author | V. L. Okulov V. L. Okulov Y. Fukumoto |
| author_facet | V. L. Okulov V. L. Okulov Y. Fukumoto |
| author_sort | V. L. Okulov |
| collection | DOAJ |
| description | The study investigates helical vortices, which are fundamental structures in fluid dynamics, and a basic model of tip vortices behind wind turbines. In connection with the intensive development of wind energy, interest in modeling helical vortex wakes behind the rotors has increased. Therefore, the purpose of this mini-review is to compare the existing methods for calculating the induced velocities of screw vortices. The three methods for calculating the motion of helical vortices are compared. Two typical forms of vorticity with uniform (Rankine-type) and Gaussian distributions in the core of helical vortices are compared, and the minimum distance between the vortex filaments or their turns is identified with sufficient accuracy in both cases. The results presented in this mini-review can be used to model the helical vortices in the rotor wakes, central helical vortices in vortex devices, or natural phenomena such as tornadoes, dust tornadoes, and waterspouts. |
| first_indexed | 2024-12-13T00:38:21Z |
| format | Article |
| id | doaj.art-1b51a2f57998481d9b23c8e18dd95222 |
| institution | Directory Open Access Journal |
| issn | 2296-598X |
| language | English |
| last_indexed | 2024-12-13T00:38:21Z |
| publishDate | 2022-02-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Energy Research |
| spelling | doaj.art-1b51a2f57998481d9b23c8e18dd952222022-12-22T00:05:11ZengFrontiers Media S.A.Frontiers in Energy Research2296-598X2022-02-011010.3389/fenrg.2022.817941817941Review of Analytical Approaches for Simulating Motions of Helical VortexV. L. Okulov0V. L. Okulov1Y. Fukumoto2Wind Energy Department, Technical University of Denmark, Lyngby, DenmarkPhysic Department, Novosibirsk State University, Novosibirsk, RussiaInstitute of Mathematics for Industry, Kyushu University, Fukuoka, JapanThe study investigates helical vortices, which are fundamental structures in fluid dynamics, and a basic model of tip vortices behind wind turbines. In connection with the intensive development of wind energy, interest in modeling helical vortex wakes behind the rotors has increased. Therefore, the purpose of this mini-review is to compare the existing methods for calculating the induced velocities of screw vortices. The three methods for calculating the motion of helical vortices are compared. Two typical forms of vorticity with uniform (Rankine-type) and Gaussian distributions in the core of helical vortices are compared, and the minimum distance between the vortex filaments or their turns is identified with sufficient accuracy in both cases. The results presented in this mini-review can be used to model the helical vortices in the rotor wakes, central helical vortices in vortex devices, or natural phenomena such as tornadoes, dust tornadoes, and waterspouts.https://www.frontiersin.org/articles/10.3389/fenrg.2022.817941/fullwind turbinenear waketip vortexhelical vortextornadoes |
| spellingShingle | V. L. Okulov V. L. Okulov Y. Fukumoto Review of Analytical Approaches for Simulating Motions of Helical Vortex Frontiers in Energy Research wind turbine near wake tip vortex helical vortex tornadoes |
| title | Review of Analytical Approaches for Simulating Motions of Helical Vortex |
| title_full | Review of Analytical Approaches for Simulating Motions of Helical Vortex |
| title_fullStr | Review of Analytical Approaches for Simulating Motions of Helical Vortex |
| title_full_unstemmed | Review of Analytical Approaches for Simulating Motions of Helical Vortex |
| title_short | Review of Analytical Approaches for Simulating Motions of Helical Vortex |
| title_sort | review of analytical approaches for simulating motions of helical vortex |
| topic | wind turbine near wake tip vortex helical vortex tornadoes |
| url | https://www.frontiersin.org/articles/10.3389/fenrg.2022.817941/full |
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