Consider heat conduction in a uniaxial rod surrounded by a fluid. The right end of the rod is attached to a wall and is at temperature \(T_{R}\). One half of the bar is insulated as indicated. The free stream temperature is \(T_{f}\). There is convective heat transfer across the un insulated surface of the rod as well as over the leftend face. Use two equallength elements to determine the temperature distribution in the rod. Use the following numerical values: \(L=0.2 \mathrm{~m}, k=100 \mathrm{~W} / \mathrm{m} /{ }^{\circ} \mathrm{C}, h=26 \mathrm{~W} / \mathrm{m}^{2} /{ }^{\circ} \mathrm{C}, T_{R}=600^{\circ} \mathrm{C}, T_{f}=300{ }^{\circ} \mathrm{C}, A=10^{-4} \mathrm{~m}^{2}\), and \(P=0.04 \mathrm{~m}\).

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X 1 insulated TR h, Tf 2 L Z 3