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Bounds on the convective heat transport in containers

Published online by Cambridge University Press:  22 June 2001

RODNEY A. WORTHING
RODNEY A. WORTHING
Affiliation:
Breasco LLC, Ann Arbor, MI 48197, USA
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Abstract

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Using the Hopf–Doering–Constantin decomposition, we derive upper bounds on the vertical heat flux in closed containers. It is found that the original bound of Doering & Constantin (1996) for Nusselt number as a function of Rayleigh number, Nu [ges ] √R/4, holds, at the very least, asymptotically as R → ∞ under reasonably diverse experimental settings.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 431 , 25 March 2001 , pp. 427 - 432
Copyright
© 2001 Cambridge University Press