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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Autores principales: Sarasua, L.G., Sicardi Schifino, A.C., González, R.
Formato: JOUR
Materias:
Bifurcation (mathematics)
Boundary conditions
Parameter estimation
Reynolds number
Core size
Filamentary vortex
Helical flow
Swirl parameters
Fluid dynamics
vortex flow
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10706631_v17_n4_p044104_Sarasua
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10706631_v17_n4_p044104_Sarasua
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spelling todo:paper_10706631_v17_n4_p044104_Sarasua2023-10-03T16:02:21Z The development of helical vortex filaments in a tube Sarasua, L.G. Sicardi Schifino, A.C. González, R. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Sarasua, L.G.
Sicardi Schifino, A.C.
González, R.
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.
format JOUR
author Sarasua, L.G.
Sicardi Schifino, A.C.
González, R.
author_facet Sarasua, L.G.
Sicardi Schifino, A.C.
González, R.
author_sort Sarasua, L.G.
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
url http://hdl.handle.net/20.500.12110/paper_10706631_v17_n4_p044104_Sarasua
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