Axisymmetric vortex breakdown in a pipe

Free access article

Issue		ESAIM: Proc. Volume 1, 1996 Vortex flows an related numerical methods II


Page(s)		267 - 278
DOI		http://dx.doi.org/10.1051/proc:1996037

ESAIM: Proc., 1996, Vol. 1, pp. 267-278
DOI: 10.1051/proc:1996037

Axisymmetric vortex breakdown in a pipe

S. Wang and Z. Rusak

Department of Mechanical Engineering, Aeronautical Engineering and Mechanics Rensselaer Polytechnic Institute, Troy, New York 12180-3590, USA

Abstract
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.

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