Problem $1.(40$ pts$)$ A $1-$m long cylindrical fuel rod is sheathed in a cylindrical metal sleve. The

metal slecve has a themal conductivity, $k.$ The outer sleeve surface has in enissivity, $b,$ and

outer surface temperature, $T_2$ at $n.$ Convection and radiation occurs at the outer slecies surfice.

Contact resistance is negligible. Detemminc.

$($a$)$ The volumetric heat generation of the fuel rod in $($:$\frac{W}{m^{\text{'}}}$