Consider the composite pin fin shown in Figure P8.7. Half of the fin is formed of a material with thermal conductivity \(k_{1}\), and the other half is formed of material with thermal conductivity \(k_{2}\). The base is held at a constant temperature, \(T_{b}\), and the tip is insulated. The heat transfer coefficient to the environment is \(h\).

a. Determine the temperature profile in the fin.

b. What is the fin effectiveness? How does it depend upon the fin numbers for the two regions?

Transcribed Image Text:

FIGURE P8.7 k1 L k2