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Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems pp 67–72Cite as

Convection in a Rotating Cylindrical Annulus with Rigid Boundaries

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Part of the book series: NATO ASI 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.

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References

  • Busse, F.H., 1970: Thermal Instabilities in Rapidly Rotating Systems, J. Fluid Mech. 44, 441–460

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  • Busse, F.H., 1986: Asymptotic Theory of Convection in a Rotating Cylindrical Annulus, J. Fluid Mech. 173, 545–556

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  • Busse, F.H., and Carrigan, C.R., 1976: Laboratory Simulation of Thermal Convection in Rotating Planets and Stars, SCIENCE 191, 81–83

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  • Busse, F.H., and Or, A.C., 1986: Convection in a Rotating Cylindrical Annulus I: Thermal Rossby Waves, J. Fluid Mech. 166, 173–187

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  • 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, 313–326

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Author information

Authors and Affiliations

  1. Institute of Physics, University of Bayreuth, 8580, Bayreuth, Germany

    M. Schnaubelt & F. H. Busse

Authors
  1. M. Schnaubelt
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  2. F. H. Busse
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Editor information

Editors and Affiliations

  1. University of Bayreuth, Bayreuth, Federal Republic of Germany

    F. H. Busse  & L. Kramer  & 

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© 1990 Plenum Press, New York

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Schnaubelt, M., Busse, F.H. (1990). Convection in a Rotating Cylindrical Annulus with Rigid Boundaries. In: Busse, F.H., Kramer, L. (eds) Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems. NATO ASI Series, vol 225. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5793-3_8

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  • DOI: https://doi.org/10.1007/978-1-4684-5793-3_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5795-7

  • Online ISBN: 978-1-4684-5793-3

  • eBook Packages: Springer Book Archive

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