A plane wall surface at 200°C is to be cooled with aluminum pin fins of parabolic profile with blunt tips. Each fin has a length of 25 mm and a base diameter of 4 mm. The fins are exposed to an ambient air condition of 25°C and the heat transfer coefficient is 45 W/m2·K. If the thermal conductivity of the fins is 230 W/m·K, determine the heat transfer rate from a single fin and the increase in the rate of heat transfer per square meter surface area as a result of attaching fins. Assume there are 100 fins per square meter surface area.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.38P: 2.38 The addition of aluminum fins has been suggested to increase the rate of heat dissipation from...
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A plane wall surface at 200°C is to be cooled with
aluminum pin fins of parabolic profile with blunt tips. Each
fin has a length of 25 mm and a base diameter of 4 mm.
The fins are exposed to an ambient air condition of 25°C
and the heat transfer coefficient is 45 W/m2·K. If the thermal
conductivity of the fins is 230 W/m·K, determine the heat
transfer rate from a single fin and the increase in the rate
of heat transfer per square meter surface area as a result of
attaching fins. Assume there are 100 fins per square meter
surface area.

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