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Temperature rise by losses in ferromagnetic duct

Symbol
$\Delta \theta_{duct}$
Unit
K
Formulae
$n_{cc} W_{duct} \left(\frac{T_{4ii}}{2}+T_{4iii}\right)$Cables in air
$n_{cc} W_{duct} \left(\frac{T_{4ii}}{2}+v_4 T_{4\mu}\right)$Cables buried
Related
$n_{cc}$
Number of conductors combined
$T_{4ii}$
Thermal resistance of the duct wall [K.m/W]
$T_{4iii}$
Thermal resistance to ambient [K.m/W]
$T_{4\mu}$
Thermal resistance to ambient [K.m/W]
$v_4$
Ratio thermal resistivity dry/moist soil
$W_{duct}$
Losses in duct [W/m]