Deterministic chaos in rotational Taylor-Couette flow

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


In going from laminar to turbulent flow, the rotational Taylor-Couette flow passes through a sequence of space and time periodic flow patterns. We have shown experimentally for the first time, that for small aspect ratios of the annulus, the Taylor-Couette flow undergoes a period doubling cascade on its route to turbulence when the Reynolds number is increased. Laser-Doppler-velocimetry has been used to measure local velocities, velocity correlation functions and velocity power spectra as well. Using these data, return maps have been constructed to analyze the dynamical behaviour of the flow in the sense of iterated maps. With these procedures we can show that the flow shows deterministic chaotic behaviour having a strange attractor.


Reynolds Number Accumulation Point Strange Attractor Deterministic Chaos Small Aspect Ratio 


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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Gerd Pfister
    • 1
  1. 1.Institute for Applied Physics University of KielW. Germany

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