Review of theoretical approaches to the vortex breakdown phenomenon

[1]  R. R. Long.  STEADY MOTION AROUND A SYMMETRICAL OBSTACLE MOVING ALONG THE AXIS OF A ROTATING LIQUID , 1953 .

[2]  A. S. Gupta,et al.  On the hydrodynamic and hydromagnetic stability of swirling flows , 1962, Journal of Fluid Mechanics.

[3]  Louis N. Howard,et al.  Hydrodynamic Stability of Parallel Flow of Inviscid Fluid , 1966 .

[4]  J. R. Goldgraben,et al.  On the movement of water and solute in extracellular channels with filtration, osmosis and active transport , 1972, Journal of Fluid Mechanics.

[5]  Stanley A. Berger,et al.  Solutions of the Navier-Stokes equations for vortex breakdown , 1976, Journal of Fluid Mechanics.

[6]  Abraham Kribus,et al.  Large-amplitude wavetrains and solitary waves in vortices , 1990, Journal of Fluid Mechanics.

[7]  Yun Tang.  Non-linear stability of Rankine's vortex , 1992 .

[8]  S. Leibovich.  Weakly non-linear waves in rotating fluids , 1970, Journal of Fluid Mechanics.

[9]  Juan Lopez,et al.  Axisymmetric vortex breakdown Part 2. Physical mechanisms , 1990, Journal of Fluid Mechanics.

[10]  W. Althaus,et al.  Study of vortex breakdown by particle tracking velocimetry (PTV) Part 3: Time-dependent structure and development of breakdown-modes , 1995 .

[11]  The time-asymptotic behavior of vortex breakdown in tubes , 1994 .

[12]  P. Saffman,et al.  Inviscid swirling flows and vortex breakdown , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[13]  T. Brooke Benjamin,et al.  Theory of the vortex breakdown phenomenon , 1962, Journal of Fluid Mechanics.

[14]  W. Egli,et al.  Force- and loss-free transitions between flow states , 1985 .

[15]  J. D. Randall,et al.  The critical state: a trapped wave model of vortex breakdown , 1973, Journal of Fluid Mechanics.

[16]  D. Gottlieb,et al.  Splitting methods for low Mach number Euler and Navier-Stokes equations , 1989 .

[17]  W. Hawthorne,et al.  Some Exact Solutions of the Flow Through Annular Cascade Actuator Discs , 1950 .

[18]  Marcel Escudier,et al.  Vortex breakdown: Observations and explanations , 1988 .

[19]  K. Torrance,et al.  Initiation and structure of axisymmetric eddies in a rotating stream , 1973 .

[20]  S. Leibovich.  THE STRUCTURE OF VORTEX BREAKDOWN , 1978 .

[21]  S. Leibovich.  Vortex stability and breakdown - Survey and extension , 1984 .

[22]  Martin Lessen,et al.  The stability of a trailing line vortex. Part 1. Inviscid theory , 1974, Journal of Fluid Mechanics.

[23]  Juan Lopez,et al.  On the bifurcation structure of axisymmetric vortex breakdown in a constricted pipe , 1994 .

[24]  A. Kribus,et al.  Instability of strongly nonlinear waves in vortex flows , 1994, Journal of Fluid Mechanics.

[25]  High Free-Stream Turbulence Influence on Turbine Film Cooling Flows , 1996 .

[26]  Sidney Leibovich,et al.  A sufficient condition for the instability of columnar vortices , 1983, Journal of Fluid Mechanics.

[27]  T. Gatski,et al.  A computational study of the topology of vortex breakdown , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[28]  Fred E. C. Culick,et al.  The role of non-uniqueness in the development of vortex breakdown in tubes , 1992, Journal of Fluid Mechanics.