Consider a horizontal pin fin of 6-mm diameter and 60-mm

Chapter 9, Problem 9.63

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Consider a horizontal pin fin of 6-mm diameter and 60-mm length fabricated from plain carbon steel (k?57 W/m?K, ?0.5). The base of the fin is main-tained at 150?C, while the quiescent ambient air and thesurroundings are at 25?C. Assume the fin tip is adiabatic.(a) Estimate the fin heat rate, qf. Use an average finsurface temperature of 125?C in estimating thefree convection coefficient and the linearizedradiation coefficient. How sensitive is this esti-mate to your choice of the average fin surfacetemperature?(b) Use the finite-difference method of solution toobtain qfwhen the convection and radiation coeffi-cients are based on local, rather than average, tem-peratures for the fin. How does your result comparewith the analytical solution of part (a)?

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