Natural Convection Correlations: vertical_plate
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 | Nu correlation text | Pr range max (dimensionless) | Pr range min (dimensionless) | Ra max (dimensionless) | Ra min (dimensionless) | characteristic length definition | fluid assumption | orientation | source author |
|---|---|---|---|---|---|---|---|---|---|---|
| vertical_plate | Churchill & Chu (1975)#1e-1-1e9 | Nu = [0.68 + 0.670*Ra^(1/4) / (1+(0.492/Pr)^(9/16))^(4/9)]^2 | 1,000 | 0.001 | 1,000,000,000 | 0.1 | L = plate height | any fluid | vertical | Churchill & Chu (1975) |
| vertical_plate | Churchill & Chu (1975), all-Ra#1e-1-1e13 | Nu = [0.825 + 0.387*Ra^(1/6) / (1+(0.492/Pr)^(9/16))^(8/27)]^2 | 1,000 | 0.001 | 10,000,000,000,000 | 0.1 | L = plate height | any fluid | vertical | Churchill & Chu (1975), all-Ra |
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