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Consider an aluminum pin fin (k = 240 W/m·K) with a 2 mm by 2 mm...

Consider an aluminum pin fin (k = 240 W/m·K) with a 2 mm by 2 mm square cross-section and a length of 4 cm that is attached to a surface at 100o C. The fin is exposed to air at 25o C with a convection heat transfer coefficient of 20 W/m2 · o C. Determine the rate of heat transfer and the tip temperature of the fin for the following cases:

(a) Convection from the fin tip.

(b) Adiabatic tip with uncorrected length.

(c) Adiabatic tip with corrected length (you should end up with the same answers as part a).

(d) Infinitely long fin.

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