Determine the maximum possible heat removal rate

Air at 27°C and a velocity of 5 m/s passes over the small region As, (20 mm X 20 mm) on a large surface, which…

Air at 27°C and a velocity of 5 m/s passes over the small region As, (20 mm X 20 mm) on a large surface, which is maintained at Ts = 127°C. For these conditions, 0.5 W is removed from the surface As. In order to increase the beat removal rate, a stainless steel (AISI-304) pin fin of diameter 5 mm is affixed to As which is assumed to remain at Ts = 127°C.

(a) Determine the maximum possible heat removal rate through the fin.

(b) What fin length would provide a close approximation to the heat rate found in part?

(c) Determine the fin effectiveness, ?f

(d) What is the percentage increase in the heat rate from As due to installation of the fin
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