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ISSN Online: 2377-424X

ISBN Print: 0-89116-299-2

International Heat Transfer Conference 7
September, 6-10, 1982, Munich, Germany

A THEORETICALLY BASED CORRELATION FOR NATURAL CONVECTION IN HORIZONTAL RECTANGULAR ENCLOSURES HEATED FROM BELOW WITH ARBITRARY ASPECT RATIOS

Get access (open in a dialog) DOI: 10.1615/IHTC7.3210
pages 257-262

Sinopsis

New theoretical results are presented from which the overall Nusselt number for natural convection can be compiled for a rectangular enclosure of arbitrary dimensions, heated from below. This procedure is applicable for all aspect ratios greater than unity and for Rayleigh numbers up to at least 20,000. The solutions were obtained by a finite-difference method, using a three-dimensional model for (1) long roll cells with a square cross-section, free-free and rigid-free lateral boundaries, and rigid-rigid end and horizontal boundaries; and (2) cubical roll cells with a complete set of vertical boundary conditions. The numerical solutions were extrapolated to zero grid-size. The predicted Nusselt numbers are in good agreement with prior experimental data for various Ra, Pr and aspect ratios, including the limiting case of infinite parallel plates.