Consider a long nuclear fuel rod which is surrounded by an annular layer of aluminum "cladding",as shown below. Within the fuel rod, heat is produced by fission; this heat sources is dependenton position, with a source strength varying approximately asSn = Sn0"1 + brRF2#where Sn0 is the heat per unit volume per unit time produced at r = 0, and r is the distancefrom the axis of the fuel rod. Calculate the maximum temperature in the fuel rod, if the outersurface of the cladding is in contact with a liquid coolant at temperature TL, the heat transfercoefficient of the cladding-coolant interface being hL. The thermal conductivities of fuel rodand cladding are kF and kC.