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The onset of convection in rotating circular cylinders with experimental boundary conditions

Published online by Cambridge University Press:  10 March 2009

KEKE ZHANG  and
XINHAO LIAO
KEKE ZHANG*
Affiliation:
Department of Mathematical Sciences, University of Exeter, Exeter EX4 4QE, UK
XINHAO LIAO
Affiliation:
Shanghai Astronomical Observatory, Chinese Academy of Sciences, Shanghai 200030, China
*
†Email address for correspondence: [email protected]
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Abstract

Convective instabilities in a fluid-filled circular cylinder heated from below and rotating about its vertical axis are investigated both analytically and numerically under experimental boundary conditions. It is found that there exist two different forms of convective instabilities: convection-driven inertial waves for small and moderate Prandtl numbers and wall-localized travelling waves for large Prandtl numbers. Asymptotic solutions for both forms of convection are derived and numerical simulations for the same problem are also performed, showing a satisfactory quantitative agreement between the asymptotic and numerical analyses.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 622 , 10 March 2009 , pp. 63 - 73
Copyright
Copyright © Cambridge University Press 2009

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References

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