Chapter 13, Problem 13.60P

The end of a cylindrical liquid cryogenic propellant tank in free space is to be protected from external (solar) radiation by placing a thin metallic shield in front of the tank. Assume the view factor F_tsbetween the tank and the shield is unity: all surfaces are diffuse and gray, and the surroundings are at 0 K.

$T_t=100\text{K}$
${\epsilon }_1={\epsilon }_2=0.05$
${\epsilon }_t=0.10$
$G_s=1250{\text{W/m}}^2$
Find the temperature of the shield T_sand the heat flux $\left({\text{W/m}}^2\right)$ to the end of the tank.