Mathematical model of Heat Transfer Coefficient through the annulus gap between concentric pipes filled with fluid:
| LaTeX Math Block |
|---|
|
U = \frac{\lambda}{d_h} \, {\rm Nu}_h |
where
The Nusselt number (Nu) correlations are:
| Stagnant fluid | Natural Convection | Forced Convection |
|---|
| OEIS sequence A282581 |
| McAdams |
| LaTeX Math Block |
|---|
| {\rm Nu}=3.6568 |
|
| LaTeX Math Block |
|---|
| {\rm Nu} = \frac{2 \cdot \epsilon({\rm Ra})}{\ln (r_{out}/r_{in})} |
|
| LaTeX Math Block |
|---|
| {\rm Nu}= c \cdot \mbox{Re}_D^p \cdot \mbox{Pr}^{0.4}\cdot \left( \frac{\mu}{\mu_w} \right)^{0.14} |
|
| where | where |
| LaTeX Math Inline |
|---|
| body | --uriencoded--\epsilon(%7B\rm Ra%7D) |
|---|
|
| Natural Convection Heat Transfer Multiplier | | LaTeX Math Inline |
|---|
| body | --uriencoded--\displaystyle c = \frac%7B0.03 \, a%5e%7B1.86%7D%7D%7B0.063 \, a%5e3 -0.674 \, a%5e2 +2.225 \, a - 1.157 %7D |
|---|
|
| LaTeX Math Inline |
|---|
| body | p = 1.013 \cdot\exp \left[ -0.067 \cdot a \right] |
|---|
|
|
See also
Physics / Thermodynamics / Heat Transfer / Heat Transfer Coefficient (HTC) / Heat Transfer Coefficient (HTC) @model
[ Thermal conductivity ] [ Nusselt number (Nu) ]
Reference
J. DIRKER & J. P. MEYER (2005) Convective Heat Transfer Coefficients in Concentric Annuli, Heat Transfer Engineering, 26:2, 38-44, DOI: 10.1080/01457630590897097
