As shown in Fig. P5–81 a T shaped bar (k = 28 W/m · K) in inverted position is attached to a surface maintained at 200°C. The two sides of the bottom portion of the T bar are insulated while the rest of the sides are subjected to a convective environment with h = 30 W/m² · K and ambient temperature of 10°C. The mesh size is uniform for the long portion of the bar while it is doubled in x direction for the bottom portion of the T bar. Assuming steady state conditions and no internal heat generation determine

(a) The finite difference formulation for each node

(b) The nodal temperatures.

Transcribed Image Text:

- 1 cm Insulation 13 3 5 7 9 13 17 1 cm 2 AN 4 6 8 10 11 14 h = 30 W/m².K T% = 10°C 18 15 19 2 cm T= 200°C 12 16 20 Insulation