EXERCISE I-THERMAL PART A cubic bedroom (each side measuring 3 m) has two surfaces which cause thermal losses towards the external environment: a south-facing wall and the roof. The south-facing wall consists of a window (I m in width and 1.2 m in height) and of an opaque part with the following layers: Layers thickness R (from inside outwards) plaster [cm] [W/mK] Im'K/W 2 1.4 1142 hollow brick 12 63115 0.19 insulating layer X 0.043 3102 hollow brick plaster 12 63115 0.7 0.19 142 Knowing that: the thermal transmittance value of the roof is equal to 0.4 W/m²K the thermal transmittance values of the glazing and the frame are equal to 1.9 and 2.7 W/m²K, respectively ⚫the frame area is equal to 12.5% of the window area the indoor air temperature and the outdoor air temperature values are equal to 20°C and to -8°C, respectively the internal and external liminar resistance values are equal to 0.13 m²K/W and to 0.04 m²K/W, respectively Calculate: 1. the thickness of the insulating layer to have a thermal transmittance value of the opaque wall equal to 0.3 W/m²K 2. the thermal flux globally lost through the envelope 3. the temperature profile within the opaque wall of the south-facing façade (all layers).
EXERCISE I-THERMAL PART A cubic bedroom (each side measuring 3 m) has two surfaces which cause thermal losses towards the external environment: a south-facing wall and the roof. The south-facing wall consists of a window (I m in width and 1.2 m in height) and of an opaque part with the following layers: Layers thickness R (from inside outwards) plaster [cm] [W/mK] Im'K/W 2 1.4 1142 hollow brick 12 63115 0.19 insulating layer X 0.043 3102 hollow brick plaster 12 63115 0.7 0.19 142 Knowing that: the thermal transmittance value of the roof is equal to 0.4 W/m²K the thermal transmittance values of the glazing and the frame are equal to 1.9 and 2.7 W/m²K, respectively ⚫the frame area is equal to 12.5% of the window area the indoor air temperature and the outdoor air temperature values are equal to 20°C and to -8°C, respectively the internal and external liminar resistance values are equal to 0.13 m²K/W and to 0.04 m²K/W, respectively Calculate: 1. the thickness of the insulating layer to have a thermal transmittance value of the opaque wall equal to 0.3 W/m²K 2. the thermal flux globally lost through the envelope 3. the temperature profile within the opaque wall of the south-facing façade (all layers).
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![EXERCISE I-THERMAL PART
A cubic bedroom (each side measuring 3 m) has two surfaces which cause thermal losses towards the external
environment: a south-facing wall and the roof. The south-facing wall consists of a window (I m in width and
1.2 m in height) and of an opaque part with the following layers:
Layers
thickness
R
(from inside outwards)
plaster
[cm]
[W/mK]
Im'K/W
2
1.4
1142
hollow brick
12
63115
0.19
insulating layer
X
0.043
3102
hollow brick
plaster
12
63115
0.7
0.19
142
Knowing that:
the thermal transmittance value of the roof is equal to 0.4 W/m²K
the thermal transmittance values of the glazing and the frame are equal to 1.9 and 2.7 W/m²K, respectively
⚫the frame area is equal to 12.5% of the window area
the indoor air temperature and the outdoor air temperature values are equal to 20°C and to -8°C, respectively
the internal and external liminar resistance values are equal to 0.13 m²K/W and to 0.04 m²K/W, respectively
Calculate:
1. the thickness of the insulating layer to have a thermal transmittance value of the opaque wall equal to 0.3
W/m²K
2. the thermal flux globally lost through the envelope
3. the temperature profile within the opaque wall of the south-facing façade (all layers).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33ea3177-5d19-4cd5-b14e-90eadd010eec%2F597f22c1-d8cb-477c-b863-23fc855f7bbb%2Fohf28ls_processed.jpeg&w=3840&q=75)
Transcribed Image Text:EXERCISE I-THERMAL PART
A cubic bedroom (each side measuring 3 m) has two surfaces which cause thermal losses towards the external
environment: a south-facing wall and the roof. The south-facing wall consists of a window (I m in width and
1.2 m in height) and of an opaque part with the following layers:
Layers
thickness
R
(from inside outwards)
plaster
[cm]
[W/mK]
Im'K/W
2
1.4
1142
hollow brick
12
63115
0.19
insulating layer
X
0.043
3102
hollow brick
plaster
12
63115
0.7
0.19
142
Knowing that:
the thermal transmittance value of the roof is equal to 0.4 W/m²K
the thermal transmittance values of the glazing and the frame are equal to 1.9 and 2.7 W/m²K, respectively
⚫the frame area is equal to 12.5% of the window area
the indoor air temperature and the outdoor air temperature values are equal to 20°C and to -8°C, respectively
the internal and external liminar resistance values are equal to 0.13 m²K/W and to 0.04 m²K/W, respectively
Calculate:
1. the thickness of the insulating layer to have a thermal transmittance value of the opaque wall equal to 0.3
W/m²K
2. the thermal flux globally lost through the envelope
3. the temperature profile within the opaque wall of the south-facing façade (all layers).
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