Consider a horizontal 6-mm-thick, 100-mm-long straightfin

Chapter 9, Problem 9.38

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Consider a horizontal 6-mm-thick, 100-mm-long straightfin fabricated from plain carbon steel (k?57 W/m?K,?0.5). The base of the fin is maintained at 150?C,while the quiescent ambient air and the surroundings areat 25?C. Assume the fin tip is adiabatic. a) Estimate the fin heat rate per unit width, qf. Use anaverage fin surface temperature of 125?C to esti-mate the free convection coefficient and the lin-earized radiation coefficient. How sensitive is yourestimate to the choice of the average fin surfacetemperature?(b) Generate a plot of qfas a function of the fin emis-sivity for 0.050.95. On the same coordi-nates, show the fraction of the total heat rate due toradiation exchange.

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