Consider steady two-dimensional heat transfer in a long solid body whose cross section is given in Fig. P5-59. The temperatures at the selected nodes and the thermal conditions on the boundaries are as shown. The thermal conductivity of the body is k= 150 W/m·K, and heat is generated in the body uniformly at a rate of e= 3 × 107W/mS-59 Consider steady two-dimensional heat transfer in a long solid body whose cross section is given in Fig. P5-59. The temperatures at the selected nodes and the thermal conditions on the boundaries are as shown. The thermal conductivity of the body is k= 150 W/m·K, and heat is generated in the body uniformly at a rate of e= 3 × 107W/m3 Using the finite difference method with a mesh size of = 10 cm, determine (a) the temperatures at nodes 1,2, 3, and 4 and (b) the rate of heat loss from the top surface through a 1-m-1ong section of the body. Using the finite difference method with a mesh size of Δx = Δy = 10 cm, determine (a) the temperatures at nodes 1,2, 3, and 4 and (b) the rate of heat loss from the of surface through a 1-m-Iong section of the body.
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