Consider two very long, straight fins of uniform

Chapter 7, Problem 7.63

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Consider two very long, straight fins of uniform crosssection, as shown in Figure 3.17. The rectangular finhas dimensions t?1 mm and w?20 mm. The circularpin fin has the same cross-sectional area as the rectan-gular fin. Both fins are constructed of aluminum withk?237 W/m?K. In both cases, the base temperature isTb?85?C. Airflow is directed as shown in the figure,with T??20?C and u??5 m/s.(a) Calculate the heat loss from each fin. Assume thatthe heat transfer coefficient on the edges of the rec-tangular fin is equal to the average value on theupper and lower surfaces. (b) What diameter cylindrical fin would be needed toprovide the same fin heat transfer rate as the rectan-gular cross- section fin?

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