Obtain a relation for the fin efficiency for a fin of constant cross-sectional area Ac, perimeter p, length L, and thermal conductivity k exposed to convection to a medium at T„ with a heat transfer coefficient h, Assume the fins are sufficiently long so that the temperature of the fin at the tip is nearly Tx. Take the temperature of the fin at the base to be Tb and neglect heat transfer from the fin tips. Simplify the relation for (a) a circular fin of diameter D and (b) rectangular fins of thickness t.
FIGURE P3-112
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