The tapered aluminum pin fin shown in Figure P3-72 is circular in cross section with a base diameter of 1 cm and a tip diameter of 0.5 cm. The base is maintained at 200ºC and loses heat by convection to the surroundings at Tˆž = 10ºC, h = 200 W/m2 · ºC. The tip is insulated. Assume one-dimensional heat flow and use the finite-difference method to obtain the nodal equations for nodes 1 through 4 and the heat lost by the fin. The length of the fin is 6 cm.

Transcribed Image Text:

Figure P3-72 Insulated