A long trapezoidal bar is subjected to uniform temperatures on two surfaces, while the remaining surfaces are well insulated. If the thermal conductivity of the material is 20 W/m ∙ K, estimate the heat transfer rate per unit length of the bar using a finite-difference method. Use the Gauss-Seidel method of solution with a space increment of 10 mm.

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-Insulation T2 = 25°C 50 mm 20 mm T = 100°C -30 mm-