An electronic component with dimension of 5 cm wide, 6 cm high, and 9 cm long is cooled by aluminum heat sink (9 cm × 5 cm wide and emissivity of 0.9) to its top surface as shown in Figure 2. The aluminum heat sink was designed with seven fins, which are 6 mm high, 3 mm thick, and 9 cm long. A fan blows air at 30 °C parallel to the passages between the fins. The heat sink is to dissipate 10 W of heat. The fins and the base plate to be nearly isothermal. Suggest the minimum free-stream velocity the fan needs to supply if the base temperature of the heat sink is not to exceed 50 °C to avoid overheating. Please consider your analysis for both laminar and turbulent flow conditions.

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Chapter6: Forced Convection Over Exterior Surfaces
Section: Chapter Questions
Problem 6.36P
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An electronic component with dimension of 5 cm wide, 6 cm high, and 9 cm long is cooled by
aluminum heat sink (9 cm × 5 cm wide and emissivity of 0.9) to its top surface as shown in
Figure 2. The aluminum heat sink was designed with seven fins, which are 6 mm high, 3 mm
thick, and 9 cm long. A fan blows air at 30 °C parallel to the passages between the fins. The heat
sink is to dissipate 10 W of heat. The fins and the base plate to be nearly isothermal. Suggest the
minimum free-stream velocity the fan needs to supply if the base temperature of the heat sink is
not to exceed 50 °C to avoid overheating. Please consider your analysis for both laminar and
turbulent flow conditions.
Air
30 °C
50 °C
Fins
0.6 cm
9 cm
10 W
6 cm
- 5 cm
Figure 2
Transcribed Image Text:An electronic component with dimension of 5 cm wide, 6 cm high, and 9 cm long is cooled by aluminum heat sink (9 cm × 5 cm wide and emissivity of 0.9) to its top surface as shown in Figure 2. The aluminum heat sink was designed with seven fins, which are 6 mm high, 3 mm thick, and 9 cm long. A fan blows air at 30 °C parallel to the passages between the fins. The heat sink is to dissipate 10 W of heat. The fins and the base plate to be nearly isothermal. Suggest the minimum free-stream velocity the fan needs to supply if the base temperature of the heat sink is not to exceed 50 °C to avoid overheating. Please consider your analysis for both laminar and turbulent flow conditions. Air 30 °C 50 °C Fins 0.6 cm 9 cm 10 W 6 cm - 5 cm Figure 2
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