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Abstract:

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.

Registro:

Documento: Artículo
Título:The stability of steady, helical vortex filaments in a tube
Autor:Sarasúa, L.G.; Schifino, A.C.S.; González, R.
Filiación:Facultad de Ciencias, Universidad de la República, Montevideo, Uruguay
Fac. de Cie. and Fac. de Ing., Universidad de la República, Montevideo, Uruguay
Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
Año:1999
Volumen:11
Número:5
Página de inicio:1096
Página de fin:1103
DOI: http://dx.doi.org/10.1063/1.869980
Título revista:Physics of Fluids
Título revista abreviado:Phys Fluids
ISSN:10706631
CODEN:PHFLE
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10706631_v11_n5_p1096_Sarasua.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10706631_v11_n5_p1096_Sarasua

Referencias:

  • Faler, J., Leibovich, S., Disrupted states of vortex flow and vortex breakdown (1977) Phys. Fluids, 20, p. 1385
  • Garg, A.K., Leibovich, S., Spectral characteristics of vortex breakdown flow fields (1979) Phys. Fluids, 22, p. 2053
  • Harvey, J., Some observations of the vortex breakdown phenomena (1962) J. Fluid Mech., 14, p. 589
  • Batchelor, G.K., (1967) An Introduction to Fluids Dynamics, , Cambridge, University Press, Cambridge
  • Lundgren, T.S., Ashurst, W.T., Area-varying waves on curved vortex tubes with application to vortex breakdown (1989) J. Fluid Mech., 200, p. 283
  • Marshall, J.S., A general theory of curved vortices with circular cross-section and variable core area (1991) J. Fluid Mech., 229, p. 311
  • Rusak, Z., Seginer, A., Propagation of small-amplitude displacement waves on a vortex in the center of a circular tube (1993) Phys. Fluids A, 5, p. 578
  • Widnall, S.E., The structure and dynamics of vortex filaments (1975) Annu. Rev. Fluid Mech., 7, p. 141
  • Milne-Thomson, L.M., (1949) Theoretical Hydrodynamics, , Macmillan, New York
  • Sarpkaya, T., Vortex breakdown in swirling conical flows (1971) AIAA J., 8, p. 1792
  • Leibovich, S., Vortex stability and breakdown: Survey and extension (1983) AIAA J., 22, p. 1192
  • Howard, L.N., Gupta, A.S., On the hydrodinamics and hydromagnetic stability of swirling flows (1962) J. Fluid Mech., 14, p. 463
  • Lessen, M., Deshpande, V.N., Hadji-Ohanes, B., Stability of a potential with a non-rotating and rigid-body rotating top-hat jet core (1973) J. Fluid Mech., 60, p. 459
  • Lessen, M., Singh, P.J., Paillet, F., The stability of a trailing line vortex. Part 1. Inviscid theory (1974) J. Fluid Mech., 63, p. 753
  • Mayer, E.W., Powell, K.G., Viscous and inviscid instabilities of a trailing vortex (1992) J. Fluid Mech., 245, p. 91

Citas:

---------- APA ----------
Sarasúa, L.G., Schifino, A.C.S. & González, R. (1999) . The stability of steady, helical vortex filaments in a tube. Physics of Fluids, 11(5), 1096-1103.
http://dx.doi.org/10.1063/1.869980
---------- CHICAGO ----------
Sarasúa, L.G., Schifino, A.C.S., González, R. "The stability of steady, helical vortex filaments in a tube" . Physics of Fluids 11, no. 5 (1999) : 1096-1103.
http://dx.doi.org/10.1063/1.869980
---------- MLA ----------
Sarasúa, L.G., Schifino, A.C.S., González, R. "The stability of steady, helical vortex filaments in a tube" . Physics of Fluids, vol. 11, no. 5, 1999, pp. 1096-1103.
http://dx.doi.org/10.1063/1.869980
---------- VANCOUVER ----------
Sarasúa, L.G., Schifino, A.C.S., González, R. The stability of steady, helical vortex filaments in a tube. Phys Fluids. 1999;11(5):1096-1103.
http://dx.doi.org/10.1063/1.869980