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Stability of natural convection in a narrow rotating annulus

Published online by Cambridge University Press:  29 March 2006

Seppo A. Korpela  and
Vedat S. Arpaci
Seppo A. Korpela
Affiliation:
Department of Mechanical Engineering, The Ohio State University, Columbus
Vedat S. Arpaci
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor
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Abstract

The stability of the conduction regime of natural convection of a fluid contained in a narrow rotating annulus with a heated inner wall has been investigated according to the linear theory. The results include computations for Prandtl numbers P = 0, 0·72 and 6·7 over a large range of the rotational parameters. For low rotation rates the instability sets in as multicellular convection with the cell axes horizontal in the absence of rotation but tilting monotonically towards the vertical as the rotation rate is in creased. Two other types of instability were found at high rotation rates. For large Froude numbers the unstable thermal stratification leads to a Bénard type of convection with vertically oriented rolls. For large Taylor numbers, through a mainly hydrodynamic mechanism, a nearly vertically oriented cellular structure develops in the flow which is destabilized as a result of rotation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 75 , Issue 2 , 27 May 1976 , pp. 385 - 399
Copyright
© 1976 Cambridge University Press

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