Natural convection in the cavity with the differentially heated isoux boundaries

S. Jiracheewanun*, G. D. McBain, S. W. Armfield, M. Behnia

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Natural convection ow in rectangular cavities with uniform heat ux side walls and an adiabatic oor and ceiling is investigated. The analytical solution for the evenly heated and cooled infinitely tall cav-ity, obtained by integrating the energy equation over a certain control volume, is introduced and compared to a full numerical solution for the finite cavity. Numerical solutions have been obtained for cavities with height-to-width ratios of 1 to 10, various values of the heat ux and with parameters appropriate to both air and water. For high enough aspect ratio and/or Rayleigh number the numerical solutions at mid-height of the cavity and the cavity stratification are well pre-dicted by the analytical solution for the infinite cavity. The ow on the cavity side walls is then one dimensional.

Original languageEnglish
Pages (from-to)C977-C990
Number of pages14
JournalANZIAM Journal
Volume48
Publication statusPublished - 2008
Externally publishedYes

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