Problem 4.11: Rectangular fins are used to remove heat from the surface of a body by condu...

Problem 4.11: Rectangular fins are used to remove heat from the surface of a body by conduction along the fins and convection from the surface of the fins into the surroundings. The fins are 100 mm long, 5 mm wide and 1 mm thick, and made of aluminum with thermal conductivity k = 170 W/(m.K). The natural convection heat transfer coefficient associated with the surrounding air is and the ambient temperature is Assuming that the heat transfer is one dimensional along the length of the fins and that the heat transfer in each fin is independent of the others, determine the temperature distribution along the fins, and the heat removed from each fin by convection. Use (a) four linear elements, and (b) two quadratic elements. Set up only the condensed equations for the unknown nodal temperatures and heats.