Comparison of Some Recent Experimental and Numerical Results in Bénard Convection

The results of numerical calculations for two‐dimensional Bénard convection between rigid boundaries are reported and compared with recent numerical and experimental values reported by other investigators. Values of the Nusselt number, Nu, in the range of Rayleigh number, R, from 2000 to 20 000 are...

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Bibliographic Details
Published in:The Physics of fluids (1958) 1967-05, Vol.10 (5), p.927-930
Main Authors: Schneck, Paul, Veronis, George
Format: Article
Language:English
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Summary:The results of numerical calculations for two‐dimensional Bénard convection between rigid boundaries are reported and compared with recent numerical and experimental values reported by other investigators. Values of the Nusselt number, Nu, in the range of Rayleigh number, R, from 2000 to 20 000 are presented. The degree of resolution of a grid point representation necessary to give an accuracy of Nu of 1% is determined. The implications of this requirement show that some previous numerical investigations must have involved fairly large errors in the heat flux and possibly even spurious time oscillations. It is also shown that recent experimental determinations of Nu agree quite well with calculations when the fluid has a large Prandtl number, σ. However, for water (σ=6.8) the discrepancy between numerical calculations and experimental measurements is quite large (14% at R = 20 000).
ISSN:0031-9171
2163-4998
DOI:10.1063/1.1762243