Geodesic
Three-dimensional vorticity dynamics in a swirling jet
J. E. Martin1 ; E. Meiburg2
1 Department of Mathematics Christopher Newport University Newport News, VA 23606-2998, USA
2 Department of Aerospace Engineering University of Southern California Los Angeles, CA 90089-1191, USA
ESAIM. Proceedings, Tome 1 (1996), pp. 539-552.

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Three-dimensional aspects of vorticity concentration, reorientation, and stretching are investigated in a simplified swirling jet model, consisting of a line vortex along the jet axis surrounded by a jet shear layer with both azimuthal and streamwise vorticity. Inviscid three-dimensional vortex dynamics simulations demonstrate the nonlinear interaction and competition between a centrifugal instability and Kelvin-Helmholtz instabilities feeding on both components of the base flow vorticity. The nonlinear evolution of the flow depends strongly on the initial ratio of the azimuthal and axisymmetric perturbation amplitudes. The long term dynamics of the jet can be dominated by counterrotating vortex rings connected by braid vortices, by like-signed rings and streamwise braid vortices, or by wavy streamwise vortices alone.
DOI : 10.1051/proc:1996020

J. E. Martin 1 ; E. Meiburg 2

1 Department of Mathematics Christopher Newport University Newport News, VA 23606-2998, USA
2 Department of Aerospace Engineering University of Southern California Los Angeles, CA 90089-1191, USA 
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J. E. Martin; E. Meiburg. Three-dimensional vorticity dynamics in a swirling jet. ESAIM. Proceedings, Tome 1 (1996), pp. 539-552. doi : 10.1051/proc:1996020. http://geodesic.mathdoc.fr/articles/10.1051/proc:1996020/

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