A nuclear reactor has a flat plate fuel element 10 mm thick. The element is cladded on its both faces with aluminium plate 2 mm in thickness. The rate of heat generation with the fuel element is 4 ×...

A nuclear reactor has a flat plate fuel element 10 mm thick. The element is cladded on its both faces with aluminium plate 2 mm in thickness. The rate of heat generation with the fuel element is 4 × 10⁴
W/kg of uranium. Calculate the temperature at the outer surface of the aluminium and at the interface of the uranium-aluminium and at the centre of the fuel element. The coolant circulates around the aluminium cladding is at 120°C with heat transfer coefficient of 28000 W/m².K.

Take

 Thermal conductivity of the uranium = 24.4 W/m.K.,

Thermal conductivity of aluminium = 206 W/m.K.