Consider the fin of section 9.2.1 and its solution given by equation (9.21). a. Develop expressions for
Question:
Consider the fin of section 9.2.1 and its solution given by equation (9.21).
a. Develop expressions for the effectiveness and efficiency of such a fin.
b. Estimate the effectiveness for the following data:
\[\begin{array}{ll}k=10 \mathrm{~W} / \mathrm{m} \mathrm{K} & h=500 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K} \quad y_{o}=0.005 \mathrm{~m} \\L=40 \mathrm{~mm} & T_{b}=100^{\circ} \mathrm{C} \quad T_{\infty}=25^{\circ} \mathrm{C}\end{array}\]
c. How does your calculated value compare to the 1-D approximation?
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