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Dimensionless multiplier correcting the conductive Heat Transfer Coefficient to account for the Natural Thermal Convection effects in the Annulus:

(1) U = \epsilon_a \cdot \frac{ \lambda_a}{d_{ti} \cdot \ln \frac{d_{ci}}{d_t} }

The most popular empirical correlations are:

(2) \epsilon = \begin{cases} 1, & \mbox{if } \ {\rm Ra} < 10^3 \\ 0.18 \cdot {\rm Ra}^{0.25}, & \mbox{if } \ {\rm Ra} > 10^3 \end{cases}
(3) \epsilon = \begin{cases} 1, & \mbox{if } \ {\rm Ra} < 10^3 \\ 0.105 \cdot {\rm Ra}^{0.3}, & \mbox{if } \ 10^3 < {\rm Ra} < 10^6 \\ 0.4 \cdot {\rm Ra}^{0.2}, & \mbox{if } \ {\rm Ra} > 10^6 \end{cases}

See also


Physics / Thermodynamics / Heat Transfer /  Heat Transfer Coefficient (HTC) / Heat Transfer Coefficient (HTC) @model

Rayleigh number ]

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