Vortex Breakdown Phenomena in a Circular Pipe : 1st Report, Modes of Stationary Breakdown

Axisymmetric Vortex Breakdown in a PipeS

A recent theory of the nearly axisymmetric vortex breakdown in a pipe is presented. We study the motion of an axisymmetric and inviscid swirling ow in a pipe with certain boundary conditions that may reeect 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 uniies the major previous...

On the bifurcation structure of axisyrnmetric vortex breakdown in a constricted pipe

The bifurcation structure is presented for an axisymmetric swirling flow in a constricted pipe, using the pipe geometry of Beran and Culick [J. Fluid Mech. 242, 491 (1992)]. The flow considered has been restricted to a two-dimensional parameter space comprising the Reynolds number Re and the relative swirl V, of the incoming swirling flow. The bifurcation diagram is constructed by solving the t...

Mixing in a vortex breakdown flow

Streak breakdown instability in pipe Poiseuille flow

This work is devoted to the study of the stability of Hagen–Poiseuille flow or pipe flow. The analysis is focused on the streak breakdown process by which two-dimensional streamwise-independent finite amplitude perturbations transiently modulate the basic flow leading to a profile that contains saddle points and is linearly unstable with respect to very small streamwise-dependent perturbations....

A Coaxial Vortex Ring Model for Vortex Breakdown

Denis Blackmore Department of Mathematical Sciences and Center for Applied Mathematics and Statistics New Jersey Institute of Technology Newark, NJ 07102-1982 [email protected] ∗ ∗ ∗ Morten Brøns Department of Mathematics Technical University of Denmark DK-2800 Kgs. Lyngby, Denmark [email protected] ∗ ∗ ∗ Arnaud Goullet Department of Mathematical Sciences New Jersey Institute of Technology New...