Radiation heat transfer coefficient, object to duct

Radiation heat transfer coefficient from cable surface to inner wall of the duct used for riser/J-tube.

Symbol
$h_{rad,int}$
Unit
W/(K.m$^2$)
Formulae
$\frac{\sigma K_r \left(\left(\theta_e+\theta_{abs}\right)^4-\left(\theta_{di}+\theta_{abs}\right)^4\right)}{\theta_e+\theta_{abs}-\theta_{di}+\theta_{abs}}$general
$\frac{\sigma \left(\theta_e+\theta_{abs}+\theta_{di}+\theta_{abs}\right) \left(\left(\theta_e+\theta_{abs}\right)^2+\left(\theta_{di}+\theta_{abs}\right)^2\right)}{1+\frac{1-\epsilon_e}{\epsilon_e}+\frac{D_o \left(1-\epsilon_{di}\right)}{D_{di} \epsilon_{di}}}$IEC 60287