To maintain a circular disc at 1000 K, an electrical heater supplies heat from the backside. The disc is positioned coaxially to a conical shape having the same outer diameter as 0.6 meters. The backside of the cone is well insulated. The disc is gray with an emissivity equal to 0.5. The top cone region has an emissivity equal to 1. The surrounding can be considered a large, evacuated black enclosure whose walls are at 300 K. Air with the same temperature as the surrounding is flowing across the disc with speed V = 10 m/s. For air v = 16.69 106 m /s, k = 0.0269 W/mK, Pr = 0.706. (a) What is the view factor Fcone-dise from the top cone to the circular bottom disc? What is the view factor F disc-surr from the circular bottom disc to the surrounding? (b) Draw the radiative circuit describing the radiative heat transfer of the entire system. You may leave view factors as symbols in the circuit. (c) What are the radiosity Jcone from the cone and the radiosity Jaise from the circular bottom disc? You may leave equations from solving the radiation circuit as the final answer. (d) What is the electrical power that would be required to maintain the disc at 1000 K. You may leave symbols Jcone, Jdisc, and view factors in the answer. (25 pt.) Surroundings Tsur = 300 K Tdisc = 1000 K Tcone D=0.6m Cone with insulated back side L = 500 mm Disc with electrical heater