A cylindrical nuclear fuel element is $10\mathrm{.}16$ cm long and $10\mathrm{.}77$ cm in diameter. The fuel generates heat uniformly at a rate of $51\mathrm{.}7103k\frac{J}{s}*m^3.$ The fuel is placed in an environment having a temperature of $360C$ with a surface coefficient of $4540\frac{W}{m^2}*K.$ The fuel material has $k=339\frac{W}{m}*K.$

For the situation described: Evaluate the following at steady sta

The temperature profile as a function of radial position.

The maximum fuel temperature.

The surface temperature.

End effects may be neglected