Natural Convection Correlations: vertical_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 | 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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| vertical_cylinder | Incropera & DeWitt (2011) slender#1e4-1e9 | 0.59 | Nu = C*Ra^n (vertical plate approximation for slender cylinders) | 0.7 | 0.7 | 1,000,000,000 | 10,000 | L = cylinder height; use when diameter-to-height criterion met | air | 0.25 | vertical | Incropera & DeWitt (2011) slender |
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