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LDV-Measurements on the Chaotic Behaviour in Wide Gap Spherical Couette Flow

  • P. Wulf
  • C. Fechtmann
  • C. Egbers
  • H. J. Rath
Conference paper

Abstract

We report on a concurrent study of LDV-measurements on bifurcation scenario in rotating spherical Couette flow. As an example for a bifurcation scenario a complex route into chaos can be observed in the wide gap spherical Couette flow experimentally. By increasing the Reynolds number with the angular velocity of the driving inner sphere the flow bifurcates from laminar axisymmetric basic flow to the periodic motion of non-axisymmetric secondary spiral waves for relative large aspect ratios (Egbers, 1994). In the present study the relative wide gap width of ß = 0.50 is chosen. The spiral waves exist over a wide range of the Reynolds number. In this range a change in shape and periodicity can be detected by visualization with small aluminum flakes and also measured by Laser Doppler velocime- try (LDV-technique). At high Reynolds numbers, the flow undergoes a bifurcation to low-dimensional chaotic motion before it eventually becomes turbulent. The dynamic behaviour is discussed by spectral bifurcation diagrams, reconstructed attractors and their Lyapunov exponents as a quantitative parameter. These quantities are calculated from the measured LDV time series.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • P. Wulf
    • 1
  • C. Fechtmann
    • 1
  • C. Egbers
    • 1
  • H. J. Rath
    • 1
  1. 1.Center of Applied Space Technology and Microgravity (ZARM)University of BremenBremenGermany

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