Consider in a reactor, fuel channel operating in single phase (no boiling; P ~10Mpa). The peak linear power, in the outer ring elements, in the channel is 48 kW/m outer ring elements (18 of the 37 elements in a fuel bundle are in the outer ring). Outer ring elements have 13% higher power than the average element power. Ignore extrapolation length, and assume that axial power shape is sinusodial. Assume the coolant flow is well mixed (i.e., resulting in uniform temperature in the radial direction). Fuel dimensions, flow rates and other necessary information are provided below. Assume thermal resistance between the fuel and clad is negligible because clad is collapsed on the fuel, and negligible oxide buildup on the clad surface. Flow rate= 30 kg/sInlet temperature= 2500 CFuel diameter= 13 mmSpecific heat = 5 kJ/kg KAverage fuel thermal conductivity= 2.25 W/m KClad thickness= 0.4 mmClad thermal conductivity= 15 W/m KChannel heated length= 6 mHeat transfer coefficient between clad and coolant= 35 W/m Ka) Determine the coolant temperature as a function of axial position in the reactorb) Determine axial location of maximum clad temperaturec) Determine axial location of maximum fuel temperatured) Determine maximum clad temperatureg) Determine maximum fuel temperature
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