A transformer that is 10 cm long, 6.2 cm wide, and 5 cm high is to be cooled by attaching a 10 cmx6.2 cm wide polished aluminum heat sink (emissivity = 0.03) to its top 11111 60°C surface. The heat sink has seven fins, which are 5 mm high, 2 mm thick, and 10 cm long. A fan blows air at 25°C parallel to the passages between the fins. The heat sink is to dissipate 20 W of heat and the base temperature of the heat sink is not to exceed 60°C. Assuming the fins and the base plate to be nearly isothermal. Fins 05 cm 10 cm Transformer 20 W S cm 6.2 cm For the two cases: a. the radiation heat transfer is negligible b. the heat sink is black-anodized and thus to have an effective emissivity of 0.90. Note that in radiation calculations the base area (10 cm x 6.2 cm) is to be used, not the total surface area. Determine a. The heat transfer coefficient b. The minimum free-stream velocity the fan needs to supply to avoid overheating

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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A transformer that is 10 cm long, 6.2 cm wide, and 5 cm
high is to be cooled by attaching a 10 cmx6.2 cm wide
polished aluminum heat sink (emissivity = 0.03) to its top
60°C
surface.
The heat sink has seven fins, which are 5 mm high, 2 mm
thick, and 10 cm long. A fan blows air at 25°C parallel to
the passages between the fins.
The heat sink is to dissipate 20 W of heat and the base
temperature of the heat sink is not to exceed 60°C.
Assuming the fins and the base plate to be nearly
isothermal.
Fins
0.5 cm
10 cm
Transformer
5 cm
20 W
6.2 cm
For the two cases:
a. the radiation heat transfer is negligible
b. the heat sink is black-anodized and thus to have an effective emissivity of 0.90.
Note that in radiation calculations the base area (10 cm x 6.2 cm) is to be used,
not the total surface area.
Determine
a. The heat transfer coefficient
b. The minimum free-stream velocity the fan needs to supply to avoid overheating
Transcribed Image Text:A transformer that is 10 cm long, 6.2 cm wide, and 5 cm high is to be cooled by attaching a 10 cmx6.2 cm wide polished aluminum heat sink (emissivity = 0.03) to its top 60°C surface. The heat sink has seven fins, which are 5 mm high, 2 mm thick, and 10 cm long. A fan blows air at 25°C parallel to the passages between the fins. The heat sink is to dissipate 20 W of heat and the base temperature of the heat sink is not to exceed 60°C. Assuming the fins and the base plate to be nearly isothermal. Fins 0.5 cm 10 cm Transformer 5 cm 20 W 6.2 cm For the two cases: a. the radiation heat transfer is negligible b. the heat sink is black-anodized and thus to have an effective emissivity of 0.90. Note that in radiation calculations the base area (10 cm x 6.2 cm) is to be used, not the total surface area. Determine a. The heat transfer coefficient b. The minimum free-stream velocity the fan needs to supply to avoid overheating
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