Hostname: page-component-745bb68f8f-d8cs5 Total loading time: 0 Render date: 2025-01-08T16:44:44.518Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

Abstract

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)