(Solution) - Set up nodal equations for the geometry of Problem 2 122 -(2025 Original AI-Free Solution)

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Set up nodal equations for the geometry of Problem 2-122, using increments in an angle ? as the one-dimensional variable. Then work the problem using the numerical method and compare with the one-dimensional analytical solution.
Problem 2-122
The cylindrical segment shown in Figure P2-122 has a thermal conductivity of 100 W/m · ºC. The inner and outer radii are 1.5 and 1.7 cm, respectively, and the surfaces are insulated. Calculate the circumferential heat transfer per unit depth for an imposed temperature difference of 50ºC. What is the thermal resistance?