On slender vortices

  • Egon Krause
III. Instability and Turbulence
Part of the Lecture Notes in Physics book series (LNP, volume 235)


This paper states the compatibility conditions to be satisfied for incompressible flow in slender vortices. The axis of the vortex is assumed to be parallel to the direction of the freestream, the radius of the core to be small in comparison to the length of the vortex, and the flow to be axially symmetric.


Viscous Force Axial Flow Breakdown Point Vortex Breakdown Lead Edge Vortex 
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  1. [1]
    Leibovich, S.: “Vortex Stability and Breakdown: Survey and Extension”, AIAA J., Vol. 22, pp. 1192–1206.Google Scholar
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    Faler, T. H., and Leibovich, S.: “An Experimental Map of the Internal Structure of a Vortex Breakdown”, Journal of Fluid Mechanics, Vol. 86, 1978, pp. 313–335.Google Scholar
  3. [3]
    Krause, E.: “Der Einfluß des axialen Druckgradienten auf das Aufplatzen eines Wirbels”, Sonderheft LAMM-Tagung 1983, Band 64, 1984, T.207–208.Google Scholar
  4. [4]
    Hall, M. G.: “Vortex Breakdown”, Ann. Rev. Fluid Mech., Vol. 10, 1972, pp. 195–218.Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Egon Krause
    • 1
  1. 1.Aerodynamisches InstitutRWTH Aachen

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