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Abstract:

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.

Registro:

Documento: Artículo
Título:The development of helical vortex filaments in a tube
Autor:Sarasua, L.G.; Sicardi Schifino, A.C.; González, R.
Filiación:Fac. de Cie./Facultad de Ingenieria, Instituto de Física, Universidad de la República, Montevideo, Argentina
Facultad de Ciencias Exactas, Naturales Departamento de Fisica, Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:Bifurcation (mathematics); Boundary conditions; Parameter estimation; Reynolds number; Core size; Filamentary vortex; Helical flow; Swirl parameters; Fluid dynamics; vortex flow
Año:2005
Volumen:17
Número:4
Página de inicio:044104
Página de fin:1-044104-9
DOI: http://dx.doi.org/10.1063/1.1871713
Título revista:Physics of Fluids
Título revista abreviado:Phys. Fluids
ISSN:10706631
CODEN:PHFLE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v17_n4_p044104_Sarasua

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Citas:

---------- APA ----------
Sarasua, L.G., Sicardi Schifino, A.C. & González, R. (2005) . The development of helical vortex filaments in a tube. Physics of Fluids, 17(4), 044104-1-044104-9.
http://dx.doi.org/10.1063/1.1871713
---------- CHICAGO ----------
Sarasua, L.G., Sicardi Schifino, A.C., González, R. "The development of helical vortex filaments in a tube" . Physics of Fluids 17, no. 4 (2005) : 044104-1-044104-9.
http://dx.doi.org/10.1063/1.1871713
---------- MLA ----------
Sarasua, L.G., Sicardi Schifino, A.C., González, R. "The development of helical vortex filaments in a tube" . Physics of Fluids, vol. 17, no. 4, 2005, pp. 044104-1-044104-9.
http://dx.doi.org/10.1063/1.1871713
---------- VANCOUVER ----------
Sarasua, L.G., Sicardi Schifino, A.C., González, R. The development of helical vortex filaments in a tube. Phys. Fluids. 2005;17(4):044104-1-044104-9.
http://dx.doi.org/10.1063/1.1871713