You have to do thermal analysis of a building near an arctic observatory, which has a footprint of 8-m×12-m and height of 4-m and oriented as shown. Because the wind direction and velocities are different on each side wall, the convection coefficient for each wall and roof are different. They are as follows hNorth hwest indicate the corresponding wall/roof (for example, hNorth is the convection coefficient for the North-facing wall). The ambient air temperature is = 15 W/m².K, hsouth 12 W/m².K, and hRoof W/m²-K, hEast 20 W/m².K, = 30 W/m².K, where the subscript NORTH 12 m SOUTH -15°C. The sky temperature is –20°C. The solar irradiation is 350 W/m², which can be considered to be falling only on the roof and not on the walls. The surface temperature of the building is 10°C. Neglect heat transfer through the ground. What is the total heat transfer to/from the building? Is the building losing or gaining heat? What is the dominant mode of heat WEST

Elements Of Electromagnetics
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You have to do thermal analysis of a building near an arctic observatory,
which has a footprint of 8-mx12-m and height of 4-m and oriented as
shown. Because the wind direction and velocities are different on each side
wall, the convection coefficient for each wall and roof are different. They are
as follows hNorth
hw est
15 W/m².K, hsouth
= 12 W/m².K, and hRoof
5 W/m².K, hEast
20 W/m².K,
30 W/m2.K, where the subscript
indicate the corresponding wall/roof (for example, hNorth is the convection
NORTH
coefficient for the North-facing wall). The ambient air temperature is
12 m
-15°C. The sky temperature is –20°C. The solar irradiation is 350 W/m²,
SOUTH
which can be considered to be falling only on the roof and not on the walls.
The surface temperature of the building is 10°C. Neglect heat transfer
8 m
through the ground. What is the total heat transfer to/from the building?
Is the building losing or gaining heat? What is the dominant mode of heat
transfer? What is the ratio between the heat fluxes through the roof and
through the East wall? The solar absorptivity is 0.8, the emissivity of the
wall and roof is 0.7.
WEST
EAST
Transcribed Image Text:You have to do thermal analysis of a building near an arctic observatory, which has a footprint of 8-mx12-m and height of 4-m and oriented as shown. Because the wind direction and velocities are different on each side wall, the convection coefficient for each wall and roof are different. They are as follows hNorth hw est 15 W/m².K, hsouth = 12 W/m².K, and hRoof 5 W/m².K, hEast 20 W/m².K, 30 W/m2.K, where the subscript indicate the corresponding wall/roof (for example, hNorth is the convection NORTH coefficient for the North-facing wall). The ambient air temperature is 12 m -15°C. The sky temperature is –20°C. The solar irradiation is 350 W/m², SOUTH which can be considered to be falling only on the roof and not on the walls. The surface temperature of the building is 10°C. Neglect heat transfer 8 m through the ground. What is the total heat transfer to/from the building? Is the building losing or gaining heat? What is the dominant mode of heat transfer? What is the ratio between the heat fluxes through the roof and through the East wall? The solar absorptivity is 0.8, the emissivity of the wall and roof is 0.7. WEST EAST
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