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Radiation heat transfer cable—riser

Radiation heat transfer from envelope around cables to inner wall of the duct used for riser/J-tube.

Symbol
$W_{rad,int}$
Unit
W/m
Formulas
$\sigma A_{er} K_r \left(\left(\theta_e+\theta_{abs}\right)^4-\left(\theta_{di}+\theta_{abs}\right)^4\right)$
Related
$A_{er}$
Surface of object [m$^2$]
$K_r$
Radiation shape factor
$\sigma$
Stefan Boltzmann constant [W/m$^2$K$^4$]
$\theta_{abs}$
Absolute temperature [K]
$\theta_{di}$
Temperature duct inner surface [°C]
$\theta_e$
External temperature object [°C]
Used in
$T_{4i}$
Thermal resistance medium in the duct [K.m/W]
$T_{rad,int}$
Thermal resistance radiation cable—riser [K.m/W]