Breakdown of Slender Vortices

The first observation of the breakdown of leading-edge vortices above a delta wing, made by Peckham and Atkinson (1957), initiated a series of investigations of this problem during the last three decades. In spite of extensive theoretical and experimental research since, no generally accepted explanation for vortex breakdown has been found. The continued interest in this phenomenon is demonstrated by several reviews (Hall 1972; Leibovich 1978; Escudier 1988) and two conferences on vortex breakdown in Aachen, Germany in 1985 and Baden, Switzerland in 1987. Since then, increases in computational power and new experimental techniques have made possible the simulation of unsteady, three-dimensional flows and the comparison of the simulations with experimental results. Vortex breakdown is one such unsteady three-dimensional flow. The major aim of this chapter is, therefore, to review these latest developments in vortex breakdown research.

[1]  T. Sarpkaya On stationary and travelling vortex breakdowns , 1971, Journal of Fluid Mechanics.

[2]  W. H. Wentz,et al.  Vortex breakdown on slender sharp-edged wings , 1969 .

[3]  Gary E. Erickson,et al.  Water-Tunnel Studies of Leading-Edge Vortices , 1982 .

[4]  Thomas B. Gatski,et al.  A criterion for vortex breakdown , 1987 .

[5]  D. J. Peake,et al.  On issues concerning flow separation and vortical flows in three dimensions , 1983 .

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

[7]  T. Gatski,et al.  A computational study of the taxonomy of vortex breakdown , 1990 .

[8]  W. Althaus,et al.  Vortex Breakdown: Mechanism of Initiation and Change of Mode , 1993 .

[9]  J. Lopez,et al.  Axisymmetric vortex breakdown. Part 3 Onset of periodic flow and chaotic advection , 1992, Journal of Fluid Mechanics.

[10]  Lars E. Ericsson,et al.  Fluid dynamics of unsteady separated flow. Part II. Lifting surfaces , 1987 .

[11]  E. Polhamus Predictions of vortex-lift characteristics based on a leading-edge suction analogy. , 1971 .

[12]  Chih-Ming Ho,et al.  Vortex Dynamics of Delta Wings , 1989 .

[13]  N. A. Chigier,et al.  Vortex mixing for supersonic combustion , 1969 .

[14]  Parampreet Singh,et al.  Experiments on vortex stability , 1976 .

[15]  D. Hänel,et al.  Solution of the 3-D, Incompressible Navier-Stokes Equations for the Simulation of Vortex Breakdown , 1990 .

[16]  Turgut Sarpkaya,et al.  Effect of the Adverse Pressure Gradient on Vortex Breakdown , 1974 .

[17]  C. Fletcher Computational techniques for fluid dynamics , 1992 .

[18]  G. A. Reynolds,et al.  Instabilities in Leading-Edge Vortex Development , 1987 .

[19]  Sidney Leibovich,et al.  An experimental map of the internal structure of a vortex breakdown , 1978, Journal of Fluid Mechanics.

[20]  L. Reyna,et al.  Numerical prediction flow in slender vortices , 1988 .

[21]  E. Krause,et al.  Vortex breakdown: Transition between bubble- and spiral-type breakdown , 1994 .

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

[23]  T. Gatski,et al.  The structure and dynamics of bubble-type vortex breakdown , 1990, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[24]  John K. Harvey,et al.  Some observations of the vortex breakdown phenomenon , 1962, Journal of Fluid Mechanics.

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

[26]  Donald Rockwell,et al.  Three-dimensional flow structure on delta wings at high angle-of-attack - Experimental concepts and issues , 1993 .

[27]  James F. Campbell Augmentation of Vortex Lift by Spanwise Blowing , 1975 .

[28]  W. Althaus,et al.  Bubble- and spiral-type breakdown of slender vortices , 1995 .

[29]  H. Lugt,et al.  Axisymmetric vortex breakdown with and without temperature effects in a container with a rotating lid , 1987, Journal of Fluid Mechanics.

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

[31]  Turgut Sarpkaya,et al.  Vortex Breakdown in Swirling Conical Flows , 1971 .

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

[33]  M. P. Escudier,et al.  Vortex Breakdown: A Two-Stage Transition , 1983 .

[34]  C. H. Liu,et al.  Navier-Stokes calculations for unsteady three-dimensional vortical flows in unbounded domains , 1984 .

[35]  C. Brücker,et al.  Study of vortex breakdown by particle tracking velocimetry (PTV) , 1992 .

[36]  Miguel Visbal,et al.  Structure of vortex breakdown on a pitching delta wing , 1993 .

[37]  Sidney Leibovich,et al.  Spectral characteristics of vortex breakdown flowfields , 1979 .

[38]  M. Meinke,et al.  Computation of unsteady vortical flows , 1993 .

[39]  Donald Rockwell,et al.  Transient structure of vortex breakdown on a delta wing , 1995 .

[40]  Miguel Visbal,et al.  Computational study of vortex breakdown on a pitching delta wing , 1993 .

[41]  E. Krause The solution to the problem of vortex breakdown , 1990 .

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

[43]  M. A. Jarrah,et al.  Unsteady aerodynamic loading of delta wings for low and high angles of attack , 1990 .

[44]  Juan Lopez,et al.  Axisymmetric vortex breakdown Part 1. Confined swirling flow , 1990, Journal of Fluid Mechanics.

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

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

[47]  J. Towfighi,et al.  Instantaneous structure of vortex breakdown on a delta wing , 1993 .

[48]  G. Sod Numerical methods in fluid dynamics , 1985 .

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

[50]  Mitsuo Ohsawa,et al.  Experiments on the axisymmetric vortex breakdown in a swirling air flow , 1985 .

[51]  W. C. Reynolds,et al.  Review of Unsteady, Driven, Separated Flows , 1985 .

[52]  D. Hänel,et al.  A dual time-stepping method for 3-D, viscous, incompressible vortex flows , 1993 .

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

[54]  Kozo Fujii,et al.  Evaluation of Navier-Stokes and Euler solutions for leading-edge separation vortices , 1988 .

[55]  Donald Rockwell,et al.  Instantaneous topology of the unsteady leading-edge vortex at high angle of attack , 1993 .

[56]  T. Taylor,et al.  Computational methods for fluid flow , 1982 .

[57]  T. B. Benjamin Significance of the Vortex Breakdown Phenomenon , 1965 .

[58]  A. Chorin A Numerical Method for Solving Incompressible Viscous Flow Problems , 1997 .

[59]  T. Brooke Benjamin,et al.  Some developments in the theory of vortex breakdown , 1967, Journal of Fluid Mechanics.