A composite wall, measuring 8m width by 2.5m height, consists of 3 layers of different materials. These layers are constructed as shown in the diagram below. The external surface temperatures of layer 1 and layer 3 are 32°C and minus 6°C respectively. The thermal conductivities of layer 1, 2 and 3 are 0.3, 0.05 and 0.2 W/mK respectively. If the temperatures are at thermal equilibrium, calculate temperatures T2 & T3, heat flux through the material layers and the total heat transfer rate through the composite wall.

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11. A composite wall, measuring 8m width by 2.5m height, consists of 3 layers of
different materials. These layers are constructed as shown in the diagram
below. The external surface temperatures of layer 1 and layer 3 are 32°C
and minus 6°C respectively. The thermal conductivities of layer 1, 2 and 3
are 0.3, 0.05 and 0.2 W/mK respectively. If the temperatures are at thermal
equilibrium, calculate temperatures T2 & T3, heat flux through the material
layers and the total heat transfer rate through the composite wall.
2.5 m
T₁ = 32°C
60 mm-
8m
Layer 1
Layer 2
100 mm
Layer 3
T₂
20 mm
T3
T4 = -6°C
(Ans: T2= 28.7°C, T3= -4.35°C, q-16.52W/m², Q-330.4W)
Transcribed Image Text:11. A composite wall, measuring 8m width by 2.5m height, consists of 3 layers of different materials. These layers are constructed as shown in the diagram below. The external surface temperatures of layer 1 and layer 3 are 32°C and minus 6°C respectively. The thermal conductivities of layer 1, 2 and 3 are 0.3, 0.05 and 0.2 W/mK respectively. If the temperatures are at thermal equilibrium, calculate temperatures T2 & T3, heat flux through the material layers and the total heat transfer rate through the composite wall. 2.5 m T₁ = 32°C 60 mm- 8m Layer 1 Layer 2 100 mm Layer 3 T₂ 20 mm T3 T4 = -6°C (Ans: T2= 28.7°C, T3= -4.35°C, q-16.52W/m², Q-330.4W)
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