Natural Convection Correlations: horizontal_cylinder
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 |
|---|---|---|---|---|---|---|---|---|---|---|
| horizontal_cylinder | Churchill & Chu (1975)#1e-5-1e12 | Nu = [0.60 + 0.387*Ra^(1/6) / (1+(0.559/Pr)^(9/16))^(8/27)]^2 | 100,000 | 0.7 | 1,000,000,000,000 | 0.00001 | L = D (cylinder diameter) | any fluid | horizontal | Churchill & Chu (1975) |
| horizontal_cylinder | McAdams (1954) simplified#1e-2-1e12 | Nu = 0.53*Ra^(1/4) | 0.7 | 0.7 | 1,000,000,000,000 | 0.01 | L = D; simplified single-range power law for air | air | horizontal | McAdams (1954) simplified |
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