A furnace is located next to a dense array of cryogenic fluid piping. The ice-covered piping approximates a plane surface an average temperature of T, = 0°C and an emissivity of E, = 0.6. The furnace wall has a temperature of T;= 200°C and an emissiv- ity of &r=0.9. To protect the refrigeration equipment and piping from excessive heat loading, reflective aluminum radiation shielding with an emissivity of Es = 0.1 is placed between the piping and the furnace wall, as shown in the schematic. Assume all surfaces are diffuse-gray. Dense piping array, T, = 0°C, Furnace wall T = 200°C, E = 0.9 P & = 0.6 000000000000
Installation criterion TIN < 30°C -Radiation shields, N Es = 0.1 If the temperature of the shield closest to the piping Ts, y must be less than 30°C, how many radiation shields, N, must be installed between the piping and the furnace wall?
