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Routes into Chaos in Rotating Fluid Flows

  • Christoph Egbers
  • Hans J. Rath

Abstract

We report on a concurrent study on stability, bifurcation scenarios and routes into chaos in rotating fluids, i.e. Taylor Couette flow, spherical Couette flow and rotating annulus heated from within (Rossby tank). In contrast to the pitchfork bifurcation as the first instability in the cylindrical system the flow in the spherical gap flow bifurcates via different Hopf bifurcations into chaos. 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 nonaxisymmetric spiral waves for relative large aspect ratios. 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 velocimetry (LDV-technique). At high Reynolds numbers, the flow undergoes a bifurcation to low-dimensional chaotic motion before it becomes turbulent. The dynamic behaviour of the rotating flows mentioned above is compared and discussed by time series analysis methods and by velocity bifurcation diagrams.

Keywords

Reynolds Number Lyapunov Exponent Bifurcation Diagram Rossby Wave Chaotic Motion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Christoph Egbers
    • 1
  • Hans J. Rath
    • 1
  1. 1.Center of Applied Space Technology and Microgravity (ZARM)University of BremenBremenGermany

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