Chapter 3: Problem 117
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.
Chapter 3: Problem 117
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.
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Get started for freeHot water at an average temperature of \(80^{\circ} \mathrm{C}\) and an average velocity of \(1.5 \mathrm{~m} / \mathrm{s}\) is flowing through a \(25-\mathrm{m}\) section of a pipe that has an outer diameter of $5 \mathrm{~cm}\(. The pipe extends \)2 \mathrm{~m}$ in the ambient air above the ground, dips into the ground $(k=1.5 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\( ) vertically for \)3 \mathrm{~m}$, and continues horizontally at this depth for \(20 \mathrm{~m}\) more before it enters the next building.
Hot air is to be cooled as it is forced to flow through the tubes exposed to atmospheric air. Fins are to be added in order to enhance heat transfer. Would you recommend attaching the fins inside or outside the tubes? Why? When would you recommend attaching fins both inside and outside the tubes?
A spherical vessel, \(3.0 \mathrm{~m}\) in diameter (and negligible wall thickness), is used for storing a fluid at a temperature of $0^{\circ} \mathrm{C}\(. The vessel is covered with a \)5.0$-cm-thick layer of an insulation \((k=0.20 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})\). The surrounding air is at \(22^{\circ} \mathrm{C}\). The inside and outside heat transfer coefficients are 40 and 10 $\mathrm{W} / \mathrm{m}^{2} \cdot \mathrm{K}\(, respectively. Calculate \)(a)$ all thermal resistances, in \(\mathrm{K} / \mathrm{W},(b)\) the steady rate of heat transfer, and \((c)\) the temperature difference across the insulation layer.
A \(3-\mathrm{cm}\)-long, \(2-\mathrm{mm} \times 2-\mathrm{mm}\) rectangular cross-section aluminum fin \((k=237 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})\) is attached to a surface. If the fin efficiency is 65 percent, the effectiveness of this single fin is (a) 39 (b) 30 (c) 24 (d) 18 (e) 7
Heat is lost at a rate of \(275 \mathrm{~W}\) per \(\mathrm{m}^{2}\) area of a 15 -cm-thick wall with a thermal conductivity of $k=1.1 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$. The temperature drop across the wall is (a) \(37.5^{\circ} \mathrm{C}\) (b) \(27.5^{\circ} \mathrm{C}\) (c) \(16.0^{\circ} \mathrm{C}\) (d) \(8.0^{\circ} \mathrm{C}\) (e) \(4.0^{\circ} \mathrm{C}\)
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