The two ends of a thin circular rod of diameter D at x = 0 and x = L are maintained at temperatures T o and T L respectively, while heat is generated at a uniform rate of q G W/m 3 . Determine the...

The two ends of a thin circular rod of diameter D at x = 0 and x = L are maintained at temperatures T_o
and T_L
respectively, while heat is generated at a uniform rate of q_G
W/m³. Determine the steady-state temperature distribution in the rod for the cases when (a) the lateral surface of the rod is insulated and (b) the lateral surface dissipates heat by convection into a medium at temperature T_L
with a heat transfer coefficient h.