(Solution) - Consider a circumferential fin of rectangular profile as shown in -(2025 Original AI-Free Solution)

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Consider a circumferential fin of rectangular profile as shown in Figure 2-12. Set up nodal equations for a fin of thickness t, heat transfer coefficient h, thermal conductivity k, and heat generation rate q as a function of radial coordinate r, taking increments of ?r. Write the nodal equations for the node adjacent to the base temperature T0, a node in the middle of the fin, and the node at the end of the fin.
Figure 2-12
Efficiencies of circumferential fins of rectangular profile, according to Reference 3.