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(2 cm× 2 cm) with heat generated in the bar uniformly at a rate of = 3 × 106 W/m2The left and bottom surfaces maintain a constant temperature of 200°C. The top and' right surfaces are subjected to convection with ambient air temperature of 100°C and heat transfer coefficient of 250 W/m2-K, 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. Answers:T1 = T4=196.4°C, T2= 190.3°C, T3= 201.2°C

FIGUREP5-138