The rod of 1-in. radius shown in Figure P13-4 generates heat internally at the rate of uniform Q = 5000 Btu/(h-ft3 ) throughout the rod. The left edge and perimeter of the rod are insulated, and the right edge is exposed to an environment of Tx = 50 oF. The convection heat-transfer coefficient between the wall and the environment is h = 100 Btu / (h-ft2 -oF). The thermal conductivity of the rod is Kxx = 12 Btu/(h-ft-8F). The length of the rod is 3 in. Calculate the temperature distribution in the rod. Use at least three elements in your finite element model.
Figure P13-4

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1-in. radius L = 3 in. To = 100°F