Question: A pin fin, or spine, is a fin with a circular cross section. An array of aluminum pin fins are used to remove heat from a surface whose temperature is 120°C The temperature of the ambient air is 25°C The thermal conductivity of aluminum is 168 W/m
• K. The natural convective coefficient associated with the surrounding air is 30 W/m2
• K. The fins are 100 nun long and have respective diameters of 4 mm.
(a) Determine the temperature distribution along a fin using five equally spaced elements.
(b) Approximate the total heat loss for an array of 100 fins.