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_ts between the tank and the shield is unity; all surfaces are diffuse and gray, and the surroundings are at 0 K. Find the temperature of the shield T_s and the heat flux (W/m²) to the end of the tank.

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7, Shield, T T,= 100 K e= Ez= 0.05 E,-0.10 G, = 1250 Wi Tank Solar radration G,