(Solution) - Set up a nodal equation for the geometry of Problem -(2025 Original AI-Free Solution)

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Set up a nodal equation for the geometry of Problem 2-123, using increments in the height of the truncated cone as the one-dimensional variable. Then work the problem with the numerical method and compare with the one-dimensional analytical solution.
Problem 2-123
The truncated hollow cone shown in Figure P2-123 is used in laser-cooling applications and is constructed of copper with a thickness of 0.5 mm. Calculate the thermal resistance for one-dimensional heat flow. What would be the heat transfer for a temperature difference of 300ºC?