5-27 Consider two-dimensional, steady-state heat conduction in a region subject to the boundary conditions shown in Fig. P5-27. The material has a thermal conductivity k = 60 Ww/(m - °C). By using a finite-difference mesh Ax = Ay = 0.3 cm, develop the matrix equation for the unknown node tempera- tures. By solving these equations, calculate the node temperatures. 216 HEAT TRANSFER Insulated T2 T T. T6 GROUP 4 Insulated Convection into medium at T = 30°C with h- 100 W/(m2.°C) T10 T12 T13 T14 T18 T22 Insulated 16 7 17 T19 -uro g wɔ 90

Structural Analysis
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5-27 Consider two-dimensional, steady-state heat conduction in a region subject to the boundary
conditions shown in Fig. P5-27. The material has a thermal conductivity k = 60 Ww/(m - °C). By using
a finite-difference mesh Ax = Ay = 0.3 cm, develop the matrix equation for the unknown node tempera-
tures. By solving these equations, calculate the node temperatures.
216 HEAT TRANSFER
Insulated
T2
T
T.
T6
GROUP 4
Insulated
Convection into
medium at T = 30°C
with h- 100 W/(m2.°C)
T10
T12
11
T13
T14
Tn
Insulated
T16
T19
T31
Maintained
1.2 cm
at 180°C
Figure P5-27
-uro g
Transcribed Image Text:5-27 Consider two-dimensional, steady-state heat conduction in a region subject to the boundary conditions shown in Fig. P5-27. The material has a thermal conductivity k = 60 Ww/(m - °C). By using a finite-difference mesh Ax = Ay = 0.3 cm, develop the matrix equation for the unknown node tempera- tures. By solving these equations, calculate the node temperatures. 216 HEAT TRANSFER Insulated T2 T T. T6 GROUP 4 Insulated Convection into medium at T = 30°C with h- 100 W/(m2.°C) T10 T12 11 T13 T14 Tn Insulated T16 T19 T31 Maintained 1.2 cm at 180°C Figure P5-27 -uro g
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