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Q: A 40-mm-Iong, 2-mm-diameter pin fin is fabricated of an aluminum alloy (k = 140 W/m2 · K).
(a) Determine the fin heat transfer rate for Th = 50°C, T8. = 25°C, h = 1000 W/m2 · K. and an adiabatic tip condition.
(b) An engineer suggests that by holding the fin tip at a low temperature, the fin heat transfer rate can be increased. For T(x = L) = O°C, determine the new fin heat transfer rate. Other conditions are as in part (a).
(c) Plot the temperature distribution, T(x), over the range 0 < x="">< l="" for="" the="" adiabatic="" tip="" case="" and="" the="" prescribed="" tip="" temperature="" case.="" also="" show="" the="" ambient="" temperature="" in="" your="" graph.="" discuss="" relevant="" features="" of="" the="" temperature="">
(d) Plot the fin heat transfer rate over the range 0 S h < 1000="" w/m2="" ·="" k="" for="" the="" adiabatic="" tip="" case="" and="" the="" prescribed="" tip="" temperature="" case.="" for="" the="" prescribed="" tip="" temperature="" case,="" what="" would="" the="" calculated="" fin="" heat="" transfer="" rate="" be="" if="" equation="" 3.73="" were="" used="" to="" determine="" qf="" rather="" than="" equation="" 3.71?="">