Question
The fins attached to a surface are determined to have an effectiveness of $0.9$. Do you think the rate of heat transfer from the surface has increased or decreased as a result of the addition of these fins?
Step 1
Fins are added to a surface to increase the surface area available for heat transfer. Show more…
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Explain how the fins enhance heat transfer from a surface. Also, explain how the addition of fins may actually decrease heat transfer from a surface.
In which of the following cases provision of fins on a given heat transfer surface will be more effective? a) Fewer but thin fins b) Large number of thin fins c) Large number of thick fins d) Fewer but thick fins
A plane wall surface at $200^{\circ} \mathrm{C}$ is to be cooled with aluminum pin fins of parabolic profile with blunt tips. Each fin has a length of $25 \mathrm{~mm}$ and a base diameter of $4 \mathrm{~mm}$. The fins are exposed to ambient air at $25^{\circ} \mathrm{C}$, and the heat transfer coefficient is $45 \mathrm{~W} / \mathrm{m}^{2} \cdot \mathrm{K}$. If the thermal conductivity of the fins is 230 $\mathrm{W} / \mathrm{m} \cdot \mathrm{K}$, determine the heat transfer rate from a single fin and the increase in the rate of heat transfer per $\mathrm{m}^{2}$ surface area as a result of attaching fins. Assume there are 100 fins per $\mathrm{m}^{2}$ surface area.
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