The stability of steady, helical vortex filaments in a tube

The nonlinear conditions for the development of helical vortex filaments in a circular tube are considered. The helical flow is assumed to be irrotational, except in a vortex filament of infinitesimal core area. By introducing an appropriate image for this helical vortex filament, the boundary condi...

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Autor principal: Gonzalez, Rafael
Publicado: 1999
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v11_n5_p1096_Sarasua
http://hdl.handle.net/20.500.12110/paper_10706631_v11_n5_p1096_Sarasua
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10706631_v11_n5_p1096_Sarasua
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spelling paper:paper_10706631_v11_n5_p1096_Sarasua2023-06-08T16:04:26Z The stability of steady, helical vortex filaments in a tube Gonzalez, Rafael The nonlinear conditions for the development of helical vortex filaments in a circular tube are considered. The helical flow is assumed to be irrotational, except in a vortex filament of infinitesimal core area. By introducing an appropriate image for this helical vortex filament, the boundary condition on the material frontier is satisfied. By assuming an axisymmetric flow upstream and imposing the conservation laws, a dependence between the helix pitch and the nonlinear amplitude of the helical vortex developed downstream is obtained. Our results show that only helical flows with the pitch in a certain range of values are allowed. The dependence of this range on the swirl ratio and on the tube cross section is considered. We discuss the usefulness of the nonlinear analysis of the allowed flows to explain experimental results and to complement the usual linear study of stability. © 1999 American Institute of Physics. Fil:González, R. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1999 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v11_n5_p1096_Sarasua http://hdl.handle.net/20.500.12110/paper_10706631_v11_n5_p1096_Sarasua
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The nonlinear conditions for the development of helical vortex filaments in a circular tube are considered. The helical flow is assumed to be irrotational, except in a vortex filament of infinitesimal core area. By introducing an appropriate image for this helical vortex filament, the boundary condition on the material frontier is satisfied. By assuming an axisymmetric flow upstream and imposing the conservation laws, a dependence between the helix pitch and the nonlinear amplitude of the helical vortex developed downstream is obtained. Our results show that only helical flows with the pitch in a certain range of values are allowed. The dependence of this range on the swirl ratio and on the tube cross section is considered. We discuss the usefulness of the nonlinear analysis of the allowed flows to explain experimental results and to complement the usual linear study of stability. © 1999 American Institute of Physics.
author Gonzalez, Rafael
spellingShingle Gonzalez, Rafael
The stability of steady, helical vortex filaments in a tube
author_facet Gonzalez, Rafael
author_sort Gonzalez, Rafael
title The stability of steady, helical vortex filaments in a tube
title_short The stability of steady, helical vortex filaments in a tube
title_full The stability of steady, helical vortex filaments in a tube
title_fullStr The stability of steady, helical vortex filaments in a tube
title_full_unstemmed The stability of steady, helical vortex filaments in a tube
title_sort stability of steady, helical vortex filaments in a tube
publishDate 1999
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v11_n5_p1096_Sarasua
http://hdl.handle.net/20.500.12110/paper_10706631_v11_n5_p1096_Sarasua
work_keys_str_mv AT gonzalezrafael thestabilityofsteadyhelicalvortexfilamentsinatube
AT gonzalezrafael stabilityofsteadyhelicalvortexfilamentsinatube
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