A flat fin of length, \(L\), width, \(w\), and thickness, \(d\), is exposed to a uniform heat flux of \(q_{o}^{\prime \prime}\) along its length (see Figure P8.8). The base of the fin is attached to a fluid stream whose free-stream temperature is \(T_{\infty}\) and whose heat transfer coefficient is \(h\). The opposite end of the fin is held at the air temperature of \(T_{\text {air }}\).

a. Determine the temperature profile within the fin.

b. What are the heat fluxes at the ends?

c. What is the fin effectiveness?

Transcribed Image Text:

FIGURE P8.8 h T 9 Tair k d