A fan is used to extract 140m3 air per minute from a large room. A circular duct of diameter 0.53 m connects the fan to the room, and the air is exhausted from the fan into the atmosphere through a conical diffuser that increases in diameter from 0.53 m to 0.8 m. A manometer shows that the pressure in the room is sub-atmospheric and the water height differential across the manometer is 6 mm. Neglecting losses, calculate: a. The static and stagnation pressures upstream of the fan b. The static and stagnation pressures downstream of the fan c. The power supplied by the fan to the air [Hint: define the following stations: 1. The room, 2. Immediately upstream of fan, 3. Immediately downstream of fan, 4. The atmosphere]
A fan is used to extract 140m3 air per minute from a large room. A circular duct of diameter 0.53 m connects the fan to the room, and the air is exhausted from the fan into the atmosphere through a conical diffuser that increases in diameter from 0.53 m to 0.8 m. A manometer shows that the pressure in the room is sub-atmospheric and the water height differential across the manometer is 6 mm. Neglecting losses, calculate:
a. The static and stagnation pressures upstream of the fan
b. The static and stagnation pressures downstream of the fan
c. The power supplied by the fan to the air
[Hint: define the following stations: 1. The room, 2. Immediately upstream of fan, 3. Immediately downstream of fan, 4. The atmosphere]
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