Let's consider the example of a composite fin shown in Figure P8.9. A carbon steel fin of
Question:
Let's consider the example of a composite fin shown in Figure P8.9. A carbon steel fin of circular cross-section is coated with a thin dielectric layer for corrosion protection. The dielectric layer serves as a protective shield. The composite fin is immersed in a brine solution whose velocity is such that the heat transfer coefficient, \(h=1000 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}\). The base temperature of the fin is \(150^{\circ} \mathrm{C}\) and the temperature of the brine is \(20^{\circ} \mathrm{C}\). Based on the physical dimensions of the fin and the thermal properties of the steel and dielectric, calculate the heat removed per fin, the fin effectiveness, and the fin efficiency.
\[\begin{aligned}& L=0.05 \mathrm{~m} \quad d_{s}=0.01 \mathrm{~m} \quad t_{h}=0.001 \mathrm{~m} \\& k_{s}=45 \mathrm{~W} / \mathrm{m} \mathrm{K}\end{aligned} \quad \begin{aligned}& k_{d}=0.5 \mathrm{~W} / \mathrm{m} \mathrm{K}\end{aligned}\]
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