The fin array shown below is 8 rectangular fins on a 10-mm thick, 34-mm x 66-mm base plate. Each fin is 24 mm long with a 30-mm x 2-mm rectangular cross-section. The fin array is made of an aluminum alloy having k=170 W/m K. The array is installed in an insulated wall. The surface of the array with the fins is exposed to air with h = 40 W/m².K. a) Find the fin efficiency (answer: n = 0.95103). b) Find the thermal resistance for convective heat transfer from the surface of the fin array to the air (answer: 1.798 K/W). 10 mm. -24 mm hair = 40 W/m²K 30 mm mm 66 mm. 34 mm

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Chapter8: Natural Convection
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Problem 8.8P
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The fin array shown below is 8 rectangular fins on a 10-mm thick, 34-mm x 66-mm
base plate. Each fin is 24 mm long with a 30-mm × 2-mm rectangular cross-section.
The fin array is made of an aluminum alloy having k=170 W/m K. The array is
installed in an insulated wall. The surface of the array with the fins is exposed to air
with hair = 40 W/m².K.
a) Find the fin efficiency (answer: n = 0.95103).
b) Find the thermal resistance for convective heat transfer from the surface of the fin
array to the air (answer: 1.798 K/W).
10 mm
24 mm
111
hair = 40 W/m³-K
30 mm
-2 mm
66 mm
34 mm
Transcribed Image Text:The fin array shown below is 8 rectangular fins on a 10-mm thick, 34-mm x 66-mm base plate. Each fin is 24 mm long with a 30-mm × 2-mm rectangular cross-section. The fin array is made of an aluminum alloy having k=170 W/m K. The array is installed in an insulated wall. The surface of the array with the fins is exposed to air with hair = 40 W/m².K. a) Find the fin efficiency (answer: n = 0.95103). b) Find the thermal resistance for convective heat transfer from the surface of the fin array to the air (answer: 1.798 K/W). 10 mm 24 mm 111 hair = 40 W/m³-K 30 mm -2 mm 66 mm 34 mm
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