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Base Solution for Natural Convection Flow in Isoflux Heated Cavity

DOI: 10.1615/ICHMT.2005.AustHeatMassTransfConf.410
4 pages

S. Jiracheewanun
School of Aerospace, Mechanical, & Mechatronic Engineering, The University of Sydney,

Geordie D. McBain
School of Aerospace, Mechanical, & Mechatronic Engineering, The University of Sydney,

Steven W. Armfield
School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Sydney, NSW 2006, Australia

Masud Behnia
School of Mechanical and Manufacturing Engineering, University of New South Wales, Sydney 2052, Australia

Abstract

Analytical solutions for the velocity and temperature in an evenly heated and cooled slot are compared to numerical solutions for cavities with vertical aspect ratios of 1 to 10 and Rayleigh numbers of 1×102 to 1×107. It is shown that for high Rayleigh number or aspect ratios the numerical solution at mid-height in the cavity and the cavity stratification are well predicted by a relation obtained by integrating over the upper half cavity and utilizing the analytical solutions.

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