Against the wind, Physics of Fluids, vol.11, issue.10, 29771999. ,
DOI : 10.1063/1.870157
Local and global stability of fluid conveying pipes on elastic foundations, 12002. 7 Squire's standing waves might equally be called stationary waves ,
Vortex breakdown: Observations and explanations, Progress in Aerospace Sciences, vol.25, issue.2, 1988. ,
DOI : 10.1016/0376-0421(88)90007-3
Examination of group-velocity criterion for breakdown of vortex flow in a divergent duct, Physics of Fluids, vol.23, issue.5, pp.6-10, 1980. ,
DOI : 10.1063/1.863095
Absolute/convective instabilities in the Batchelor vortex: a numerical study of the linear impulse response, Journal of Fluid Mechanics, vol.355, issue.229, 1998. ,
DOI : 10.1017/S0022112097007787
Inviscid instability of the Batchelor vortex: Absolute-convective transition and spatial branches, Physics of Fluids, vol.11, issue.7, 18051999. ,
DOI : 10.1063/1.870045
The effect of swirl on jets and wakes: Linear instability of the Rankine vortex with axial flow, Physics of Fluids, vol.10, issue.5, 11201998. ,
DOI : 10.1063/1.869637
Vortex stability and breakdown: Survey and extension, AIAA J, vol.22, 11921984. ,
The dynamics of a swirling flow in a pipe and transition to axisymmetric vortex breakdown, Journal of Fluid Mechanics, vol.340, 0177. ,
DOI : 10.1017/S0022112097005272
On the stability of an axisymmetric rotating flow in a pipe, Physics of Fluids, vol.8, issue.4, 10071996. ,
DOI : 10.1063/1.868882
On the stability of non???columnar swirling flows, Physics of Fluids, vol.8, issue.4, 10171996. ,
DOI : 10.1063/1.868878
Force- and loss-free transitions between flow states, Zeitschrift f??r angewandte Mathematik und Physik, vol.99, issue.6, 1985. ,
DOI : 10.1007/BF00944899
On the dynamics of revolving fluids, Proc. R. Soc. London, p.1916 ,
On the hydrodynamic and hydromagnetic stability of swirling flows, Journal of Fluid Mechanics, vol.4, issue.03, p.1962 ,
DOI : 10.1017/S0022112062001366
Stabilität der Strömung in einem zylindrischen Ringraum, Z. Flugwiss, vol.8, issue.135, 1960. ,
A sufficient condition for the instability of columnar vortices, Journal of Fluid Mechanics, vol.59, issue.-1, 1983. ,
DOI : 10.1017/S0022112068000340
Analysis of the stability of axisymmetric jets, Journal of Fluid Mechanics, vol.21, issue.04, p.1964 ,
DOI : 10.1017/S0022112062001421
The evolution of a perturbed vortex in a pipe to axisymmetric vortex breakdown, Journal of Fluid Mechanics, vol.366, issue.1, 1998. ,
DOI : 10.1017/S0022112098001396
Weakly nonlinear waves in rotating fluids, J. Fluid Mech, vol.42, issue.803, 1970. ,
Nonlinear Stability of Axisymmetric Swirling Flows, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.326, issue.1590, p.71988 ,
DOI : 10.1098/rsta.1988.0091
The interaction of near-critical swirling flows in a pipe with inlet azimuthal vorticity perturbations, Physics of Fluids, vol.10, issue.7, 16721998. ,
DOI : 10.1063/1.869685
Axisymmetric vortex breakdown Part 2. Physical mechanisms, Journal of Fluid Mechanics, vol.30, issue.-1, 1990. ,
DOI : 10.1146/annurev.fl.04.010172.001211
Numerical study of vortex breakdown, Applied Numerical Mathematics, vol.2, issue.3-5, p.291, 1986. ,
DOI : 10.1016/0168-9274(86)90034-6
Initiation and structure of axisymmetric eddies in a rotating stream, Computers & Fluids, vol.1, issue.3, 1973. ,
DOI : 10.1016/0045-7930(73)90012-1
The solution to the problem of vortex breakdown, Lect. Notes Phys, vol.3713, p.51984 ,
DOI : 10.1007/3-540-53619-1_135
The role of vorticity dynamics in vortex breakdown, 23rd Fluid Dynamics, Plasmadynamics, and Lasers Conference, pp.93-3036, 1993. ,
DOI : 10.2514/6.1993-3036
Numerical simulation of bubble-type vortex breakdown within a tube-and-vane apparatus, Physics of Fluids, vol.12, issue.3, 2000. ,
DOI : 10.1063/1.870266
The role of non-uniqueness in the development of vortex breakdown in tubes, Journal of Fluid Mechanics, vol.216, issue.-1, 1992. ,
DOI : 10.1017/S0022112087001484
On the bifurcation structure of axisymmetric vortex breakdown in a constricted pipe, Physics of Fluids, vol.6, issue.11, 1994. ,
DOI : 10.1063/1.868359
Waves in parallel or swirling stratified shear flows, Journal of Fluid Mechanics, vol.14, issue.03, p.1979 ,
DOI : 10.1146/annurev.fl.10.010178.001253
Absolute and convective instabilities in free shear layers, Journal of Fluid Mechanics, vol.19, issue.-1, p.11985 ,
DOI : 10.1017/S0022112064000908
Space-time evolution of plasma instabilities-absolute and convective, Handbook of Plasma Physics, pp.451-517, 1983. ,
Absolute and convective instability character of slender viscous vortices, Physics of Fluids, vol.12, issue.5, 1062. ,
DOI : 10.1063/1.870361
The critical state: A trapped wave model of vortex break-down, J. Fluid Mech, vol.58, issue.495, 1973. ,