In the analytical treatment of the fin with

Chapter 9, Problem 9.74

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In the analytical treatment of the fin with uniformcross-sectional area, it was assumed that the convectionheat transfer coefficient is constant along the length ofthe fin. Consider an AISI 316 steel fin of 6-mm diame-ter and 50-mm length (with insulated tip) operatingunder conditions for which Tb?125?C, T??27?C,Tsur?27?C, and ?0.6.(a) Estimate average values of the fin heat transfercoefficients for free convection (hc) and radiationexchange (hr). Use these values to predict the tiptemperature and fin effectiveness.(b) Use a numerical method of solution to estimate theforegoing parameters when the convection andradiation coefficients are based on local, rather thanaverage, values for the fin

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