Consider steady two-dimensional heat transfer in a long solid bar(k= 25 W/m·K) of square c...

Consider steady two-dimensional heat transfer in a long solid bar(k= 25 W/m·K) of square cross section(3 cm × 3 cm) with the prescribed temperatures at the top, right, bottom, and left surfaces to be 100°C, 200°C, 300°C, and 500°C, respectively. Heat is generated in the bar uniformly at a rate of e= 5 × 106W/m3 Using a uniform mesh size Δx = Δy = 1 cm determine (a) the finite difference equations and (b) the nodal temperatures with the Gauss-Seidel iterative method.

FIGURE P5-66