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Convection in a Rotating Cylindrical Annulus with Rigid Boundaries

  • M. Schnaubelt
  • F. H. Busse
Part of the NATO ASI Series book series (NSSB, volume 225)

Abstract

Convection driven by centrifugal buoyancy in a rotating cylindrical annulus exhibits dynamical behavior quite different from that of Rayleigh-Bénard convection in a layer heated from below. The present analysis extends the work of Or and Busse (1987) for stress-free cylindrical walls to the experimentally relevant case of no-slip boundaries. While the major bifurcations of convection flows are preserved, the details of the stability regions are changed and new instabilities are found.

Keywords

Rayleigh Number Flow Solution Cylindrical Wall High Rayleigh Number Ekman Number 
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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References

  1. Busse, F.H., 1970: Thermal Instabilities in Rapidly Rotating Systems, J. Fluid Mech. 44, 441–460ADSMATHCrossRefGoogle Scholar
  2. Busse, F.H., 1986: Asymptotic Theory of Convection in a Rotating Cylindrical Annulus, J. Fluid Mech. 173, 545–556MathSciNetADSMATHCrossRefGoogle Scholar
  3. Busse, F.H., and Carrigan, C.R., 1976: Laboratory Simulation of Thermal Convection in Rotating Planets and Stars, SCIENCE 191, 81–83ADSCrossRefGoogle Scholar
  4. Busse, F.H., and Or, A.C., 1986: Convection in a Rotating Cylindrical Annulus I: Thermal Rossby Waves, J. Fluid Mech. 166, 173–187ADSMATHCrossRefGoogle Scholar
  5. Or, A.C., and Busse, F.H., 1987: Convection in a Rotating Cylindrical Annulus. Part 2. Transitions to Asymmetric and Vacillating Flow, J. Fluid Mech. 174, 313–326ADSMATHCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1990

Authors and Affiliations

  • M. Schnaubelt
    • 1
  • F. H. Busse
    • 1
  1. 1.Institute of PhysicsUniversity of BayreuthBayreuthGermany

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