The stability of steady, helical vortex filaments in a tube

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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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Autores principales:	Sarasúa, L.G., Schifino, A.C.S., González, R.
Formato:	Artículo publishedVersion
Publicado:	1999
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_10706631_v11_n5_p1096_Sarasua https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10706631_v11_n5_p1096_Sarasua_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

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spelling	I28-R145-paper_10706631_v11_n5_p1096_Sarasua_oai2024-08-16 Sarasúa, L.G. Schifino, A.C.S. González, R. 1999 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. application/pdf http://hdl.handle.net/20.500.12110/paper_10706631_v11_n5_p1096_Sarasua info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Phys Fluids 1999;11(5):1096-1103 The stability of steady, helical vortex filaments in a tube info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10706631_v11_n5_p1096_Sarasua_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (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.
format	Artículo Artículo publishedVersion
author	Sarasúa, L.G. Schifino, A.C.S. González, R.
spellingShingle	Sarasúa, L.G. Schifino, A.C.S. González, R. The stability of steady, helical vortex filaments in a tube
author_facet	Sarasúa, L.G. Schifino, A.C.S. González, R.
author_sort	Sarasúa, L.G.
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	http://hdl.handle.net/20.500.12110/paper_10706631_v11_n5_p1096_Sarasua https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10706631_v11_n5_p1096_Sarasua_oai
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The stability of steady, helical vortex filaments in a tube

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