A cylindrical nuclear fuel element is 10.16 cm long and 10.77 cm in diameter. The fuel generates heat uniformly at a rate of 51.7 × 10³ kJ/s · m³. The fuel is placed in an environment having a temperature of 360 K with a surface coefficient of 4540 W/m² · K. The fuel material has k = 33.9 W/m · K. For the situation described evaluate the following at steady state:
a. The temperature profile as a function of radial position
b. The maximum fuel temperature
c. The surface temperature
End effects may be neglected.