Natural Convection Correlations: horizontal_plate_hot_up
Nusselt number correlations for natural (free) convection heat transfer. Covers vertical plates, horizontal plates (hot side up/down), horizontal cylinders, vertical cylinders, spheres, inclined plates, and enclosed cavities (vertical and horizontal). Each record provides the Nu correlation equation, valid Rayleigh number range, C and n coefficients (for power-law forms), characteristic length definition, Prandtl number range, and source reference. 30 records spanning all standard geometries from Churchill-Chu, Morgan, McAdams, Globe-Dropkin, Berkovsky-Efimov, Catton, and Hollands correlations.
| geometry | correlation id | C coefficient (dimensionless) | Nu correlation text | Pr range max (dimensionless) | Pr range min (dimensionless) | Ra max (dimensionless) | Ra min (dimensionless) | characteristic length definition | fluid assumption | n exponent (dimensionless) | orientation | source author |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| horizontal_plate_hot_up | McAdams (1954) laminar#1e4-1e7 | 0.54 | Nu = C*Ra^n | 0.7 | 0.7 | 10,000,000 | 10,000 | L = A_s/P (area/perimeter) | air (Pr~0.7) | 0.25 | horizontal heated surface facing up | McAdams (1954) laminar |
| horizontal_plate_hot_up | McAdams (1954) turbulent#1e7-1e11 | 0.15 | Nu = C*Ra^n | 0.7 | 0.7 | 100,000,000,000 | 10,000,000 | L = A_s/P (area/perimeter) | air (Pr~0.7) | 0.333 | horizontal heated surface facing up | McAdams (1954) turbulent |
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