Axisymmetric vortex breakdown in a pipe
Department of Mechanical Engineering, Aeronautical Engineering and Mechanics Rensselaer Polytechnic Institute, Troy, New York 12180-3590, USA
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.
© EDP Sciences, ESAIM, 1996