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Temperature of duct inner wall

With crossing heat sources, a temperature rise of $\Delta\theta_{0x}$ applies at the hottest point.

Symbol
$\theta_{di}$
Unit
°C
Formulae
$\theta_e-T_{4i} n_{cc} \left(W_I+W_d\right)$Cables in duct
$\theta_{de}+T_{4ii} n_{cc} W_{di}$Cables in riser (ERA)
$\theta_{de}+T_{4ii} n_{cc} W_{tot}$PAC/GIL with duct
$\theta_{at}-\frac{T_{4pi}}{2} W_{sum}$air-filled pipe with objects
Related
$\Delta \theta_{0x}$
Temperature rise by crossing heat sources [K]
$n_{cc}$
Number of conductors combined
$T_{4i}$
Thermal resistance of medium in the duct [K.m/W]
$T_{4ii}$
Thermal resistance of the duct wall [K.m/W]
$T_{4pi}$
Thermal resistance of medium in the air-filled pipe with objects [K.m/W]
$\theta_{at}$
Air temperature under load [°C]
$\theta_{de}$
Temperature of duct outer wall [°C]
$\theta_e$
External temperature of the object [°C]
$W_d$
Dielectric losses [W/m]
$W_{di}$
Losses between cable and riser/J-tube [W/m]
$W_I$
Ohmic losses per phase [W/m]
$W_{sum}$
Sum of total losses of all systems [W/m]
$W_{tot}$
Total losses per object [W/m]
Used in
$\Delta \theta_{gas}$
Temperature difference, conductor to enclosure [°C]
$\mathrm{Gr}_{gd}$
Grashof number, gas to duct
$\mathrm{Gr}_{og}$
Grashof number, object to gas
$h_{rad,int}$
Radiation heat transfer coefficient, object to duct [W/(K.m$^2$)]
$\mathrm{Ra}_{int}$
Rayleigh number inside riser
$T_{4i}$
Thermal resistance of medium in the duct [K.m/W]
$T_{conv,int}$
Thermal resistance by convection, object to duct [K.m/W]
$T_{rad,int}$
Radiation thermal resistance, object to duct [K.m/W]
$\theta_{de}$
Temperature of duct outer wall [°C]
$\theta_{dm}$
Mean temperature of the medium in the duct [°C]
$\theta_e$
External temperature of the object [°C]
$\theta_{film}$
Film temperature [°C]
$\theta_{gas}$
Gas temperature [°C]
$W_{conv,gd}$
Convection heat transfer, gas to duct [W/m]
$W_{conv,int}$
Convection heat transfer, object to duct [W/m]
$W_{rad,int}$
Radiation heat transfer, object to duct [W/m]