Condensing steam is used to maintain a room at 20 °C. The steam flows through pipes that...

Condensing steam is used to maintain a room at 20 °C. The steam flows through pipes that keep the pipe surface at 100 ° C. To increase heat transfer from the pipes, stainless steel fins (k = 15W/ m-° C), 20 cm long and 0.5 cm in diameter, are welded to the pipe surface as shown in Figure P13–11. A fan forces the room air over the pipe and fins,

resulting in a heat transfer coefficient of 50W/m2-° C at the base surface of the fin where it is welded to the pipe. However, the air flow distribution increases the heat transfer coefficient to 80W/m²-° C at the fin tip. Assume the variation in heat transfer coefficient to then vary linearly from left end to right end of the fin surface. Determine the temperature distribution at L/4 locations along the fin. Also determine the rate of heat loss from each fin.