Consider steady two-dimensional heat conduction in a square cross section (3 cm × 3 cm, k = 20 W/m · K, a= 6.694 × 10^-6 m²/s) with constant prescribed temperature of 100°C and 300°C at the top and bottom surfaces, respectively. The left surface is exposed to a constant heat flux of 1000 W/m² while the right surface is in contact with a convective environment (h = 45 W/m² · K) at 20°C. Using a uniform mesh size of Δx = Δy, determine

(a) Finite difference equations

(b) The nodal temperatures using Gauss-Seidel iteration method.

Transcribed Image Text:

à = 1000 W/m² 1 5 2 6 100°C 300°C 3 7 4 8 h = 45 W/m².K T% = 20°C