Geodesic
Axisymmetric vortex breakdown in a pipe
S. Wang1 ; Z. Rusak1
1 Department of Mechanical Engineering, Aeronautical Engineering and Mechanics Rensselaer Polytechnic Institute, Troy, New York 12180-3590, USA
ESAIM. Proceedings, Tome 1 (1996), pp. 267-278.

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A recent theory of the nearly axisymmetric vortex breakdown in a pipe is presented. We study the motion of an axisymmetric and inviscid swirling flow in a pipe with certain boundary conditions that may reflect the physical situation. The theory is built of global analysis of solutions of the Squire-Long equation and linear stability analysis of these solutions. The theory unifies the major previous theoretical approaches and provides for the first time a consistent explanation of the physical mechanism leading to the vortex breakdown phenomenon as well as the conditions for its occurrence.
DOI : 10.1051/proc:1996037

S. Wang 1 ; Z. Rusak 1

1 Department of Mechanical Engineering, Aeronautical Engineering and Mechanics Rensselaer Polytechnic Institute, Troy, New York 12180-3590, USA 
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S. Wang; Z. Rusak. Axisymmetric vortex breakdown in a pipe. ESAIM. Proceedings, Tome 1 (1996), pp. 267-278. doi : 10.1051/proc:1996037. http://geodesic.mathdoc.fr/articles/10.1051/proc:1996037/

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