For the aluminum fins in Problem 1. determine the temperature of a point on the fin 45 mm from the base. Also compute the fraction of the total heat that is lost through this section of the fin.
Problem 1
Aluminum fins, similar to the ones in Example 4.1, with rectangular profiles are used to re-move heat from a surface whose temperature is 150°C.The temperature of the ambient air is 20°C. The thermal conductivity of aluminum is 168 W/m•K. The natural convective coefficient associated with the surrounding air is 35 W/m2•K. The fins are 150 mm long,5 nun wide, and 1 mm thick. (a) Determine the temperature distribution along a fin using five equally spaced elements. (b) Approximate the total heat loss for an array of 50 fins.
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