The development of helical vortex filaments in a tube
We study the formation of helical vortex filaments in a tube. The helical flow is assumed to be potential except in a very slender core. The boundary conditions are satisfied by introducing a helical image vortex. By assuming an axisymmetric flow upstream and imposing conservation laws, we obtain a...
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2005
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v17_n4_p044104_Sarasua http://hdl.handle.net/20.500.12110/paper_10706631_v17_n4_p044104_Sarasua |
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paper:paper_10706631_v17_n4_p044104_Sarasua2025-07-30T18:40:22Z The development of helical vortex filaments in a tube Bifurcation (mathematics) Boundary conditions Parameter estimation Reynolds number Core size Filamentary vortex Helical flow Swirl parameters Fluid dynamics vortex flow We study the formation of helical vortex filaments in a tube. The helical flow is assumed to be potential except in a very slender core. The boundary conditions are satisfied by introducing a helical image vortex. By assuming an axisymmetric flow upstream and imposing conservation laws, we obtain a set of conditions that must be satisfied by the helical flow downstream. We obtain that, when a generalized swirl parameter ω reaches a critical value ωca bifurcation occurs and for ω>ωc there are two solutions for the helical filamentary vortex. Such a bifurcation can be produced by increasing the swirl level of the inlet flow or the radius of the outlet tube, in agreement with experiments. We have discussed the influence of the core size and the Reynolds number on ωc and with these results we have explained some experimental observations. © 2005 American Institute of Physics. 2005 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v17_n4_p044104_Sarasua http://hdl.handle.net/20.500.12110/paper_10706631_v17_n4_p044104_Sarasua |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Bifurcation (mathematics) Boundary conditions Parameter estimation Reynolds number Core size Filamentary vortex Helical flow Swirl parameters Fluid dynamics vortex flow |
| spellingShingle |
Bifurcation (mathematics) Boundary conditions Parameter estimation Reynolds number Core size Filamentary vortex Helical flow Swirl parameters Fluid dynamics vortex flow The development of helical vortex filaments in a tube |
| topic_facet |
Bifurcation (mathematics) Boundary conditions Parameter estimation Reynolds number Core size Filamentary vortex Helical flow Swirl parameters Fluid dynamics vortex flow |
| description |
We study the formation of helical vortex filaments in a tube. The helical flow is assumed to be potential except in a very slender core. The boundary conditions are satisfied by introducing a helical image vortex. By assuming an axisymmetric flow upstream and imposing conservation laws, we obtain a set of conditions that must be satisfied by the helical flow downstream. We obtain that, when a generalized swirl parameter ω reaches a critical value ωca bifurcation occurs and for ω>ωc there are two solutions for the helical filamentary vortex. Such a bifurcation can be produced by increasing the swirl level of the inlet flow or the radius of the outlet tube, in agreement with experiments. We have discussed the influence of the core size and the Reynolds number on ωc and with these results we have explained some experimental observations. © 2005 American Institute of Physics. |
| title |
The development of helical vortex filaments in a tube |
| title_short |
The development of helical vortex filaments in a tube |
| title_full |
The development of helical vortex filaments in a tube |
| title_fullStr |
The development of helical vortex filaments in a tube |
| title_full_unstemmed |
The development of helical vortex filaments in a tube |
| title_sort |
development of helical vortex filaments in a tube |
| publishDate |
2005 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v17_n4_p044104_Sarasua http://hdl.handle.net/20.500.12110/paper_10706631_v17_n4_p044104_Sarasua |
| _version_ |
1840324953355845632 |