Problem

A hot surface is cooled by attaching fins (called pin fins) to it, as shown in Figure P1...

A hot surface is cooled by attaching fins (called pin fins) to it, as shown in Figure P13–16. The surface of the plate (left end of the pin) is 90 ° C. The fins are 6 cm long and have a cross-sectional area of 5 × 106 m2 with a perimeter of 0.006 m. The fins are made of copper (k = 400W/ m-° C). The temperature of the surrounding air is T = 20 ° C with heat transfer coefficient on the surface (including the end surface) of h = 10W/m2-° C. A model of the typical fin is also shown in Figure P13–16. Use three elements in your finite element model to determine the temperatures along the fin length.

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