Fins, or extended surfaces, commonly are used in a variety of engineering applications t...

Fins, or extended surfaces, commonly are used in a variety of engineering applications to enhance cooling. Common examples include a motorcycle engine head, a lawn mower engine head, extended surfaces used in electronic equipment, and finned tube heat exchangers in room heating and cooling applications. Consider aluminum fins of a rectangular profile shown in Problem 14.13, which are used to remove heat from a surface whose temperature is 100°C. The temperature of the ambient air is 20°C. We are interested in determining how the temperature of the fin varies along its length and plotting this temperature variation. For long fins, the temperature distribution along the fin is given by