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Solar radiation heat transfer to surface

Solar radiation heat transfer to surface of PAC/GIL by sun. It is assumed that the sun shines directly from above onto an area of the length (1 m) multiplied with the diameter $D_o$ of the cylindrical object (and not half its circumference $\pi{D_o}/2$).

Symbol
$W_{sun}$
Unit
W/m
Formulae
$\sigma_{sun} D_o H_{sun}$general case
$\sigma_{sun} \frac{D_o}{2} H_{sun}$riser
Related
$D_o$
Outer diameter [m]
$H_{sun}$
Intensity of solar radiation [W/m$^2$]
$\sigma_{sun}$
Absorption coefficient of solar radiation
Used in
$T_{4iii}$
Thermal resistance to ambient [K.m/W]
$T_{rad,sun}$
Solar radiation thermal resistance [K.m/W]
$W_{de}$
Losses outside of riser/J-tube [W/m]