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Modulated Taylor Vortex Flow

  • Manfred Lücke
  • Dieter Roth
  • Hendrik Kuhlmann
Part of the NATO ASI Series book series (NSSB, volume 237)

Abstract

We have studied the rotating Couette system, i.e., the flow between two concentric cylinders of radii R1 and R2), with the outer cylinder at rest. The rotation rate of the inner cylinder is modulated periodically Ω(t)=Ω(1+Δcosωt). We use a finite difference numerical simulation and a four-mode Galerkin model to investigate both the threshold shift of the onset of Taylor vortex flow (TVF) and the fully nonlinear behaviour of TVF (Kuhlmann et al., 1989). Our calculations were done for a radius ratio η=R1/R2=0.65 but we found that the results presented here are practically independent of η.

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Reference

  1. AhlErs, G., privata commication (l938)Google Scholar
  2. Hall, P., J. Fluid Nech. 67:29 (1975).CrossRefGoogle Scholar
  3. Kuhlmann, H., D. Roth, H. Lcke, Phys. Rev.:A 39 (1989)Google Scholar
  4. Riley, P. J., and Laurence, R. L.J. Fluid Mech. 75:625(1976)CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • Manfred Lücke
    • 1
  • Dieter Roth
    • 1
  • Hendrik Kuhlmann
    • 1
  1. 1.Institut für Theoretische PhysikUniversität des SaarlandesSaarbrückenGermany

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