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 x 103 kJ/s·m3. The fuel is placed in an environment having a temperature of 360 K with a surface coefficient of 4540W/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.