In a process room a long 2 cm diameter cylindrical molten core, koore-5 W/m-K, of an arc reactor generates =64E-I MW/m'. The temperature of the outer core is, T;=1550 K and is surrounded by a ceramic sheath, ksh9 E-1 W/m-K, Esh=0.5. The cable and sheath are suspended by thin highly insulating bands connected to two surface- coated thin rectangular supports that run along the inside of a steel pipe, kpipe=0.25 W/m-K, with dimensions as shown in the Figure. The supports are attached to the pipe such that they are effectively thermally insulated from both the pipe and the bands. The inside of the steel pipe has been vacuumed, and the pipe's external surface is exposed to the surroundings and convectively at equilibrium with T... Clearly show your work, justifications and assumptions made. Tur 400 K Pipe Encasing, kne0.25 Rectangular Supports Sup=0.05 x Offset-1.75 cm=1 cm Cable D=2 cm z Offset-1 cm 1,-4 cm pe=0.5 cm Sheath, km 12-1.5 cm Vacuum a) What is the heat transfer rate to the surroundings? b) What is the temperature at the center of the inner core, r=0? c) Draw the appropriate sets of radiative and conductive resistance networks that can be used to represent the entire system. Defining each resistor in terms of an appropriate expression of given information, except leave each view factor as a variable name as we have defined it in class/text. d) What is the view factor from the sheath to a support? e) What is the temperature of the inner surface of the pipe? f) What is the radiosity of the sheath