(Solved): 2-96 A cylindrical nuclear fuel rod 1cm in diameter is encased in a concentric tube 2cm in ...

2-96 A cylindrical nuclear fuel rod $1\mathrm{cm}$ in diameter is encased in a concentric tube $2\mathrm{cm}$ in diameter, where cooling water flows through the annular region between the fuel rod $(k=30\mathrm{W}/\mathrm{m}?\mathrm{K})$ and the concentric tube. Heat is generated uniformly in the rod at a rate of $50\mathrm{MW}/{\mathrm{m}}^3$. The convection heat transfer coefficient for the concentric tube surface is $2000\mathrm{W}/{\mathrm{m}}^2?\mathrm{K}$. If the surface temperature of the concentric tube is $40^{?}\mathrm{C}$, determine the average temperature of the cooling water. Can one use the given information to determine the surface temperature of the fuel rod? Explain. Answer: $71.3^{?}\mathrm{C}$