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Question: air flows steadily within a system consisting of a fan...

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Air flows steadily within a system consisting of a fan and a long (150 m) duct made of steel (ε = 0.046 mm). The air enters the fan (1) at 20 deg C, 1.0 atm, and then exits the fan (2) and flows into the straight, horizontal duct of square cross section (W = 30 cm). The flow exits the duct (3) into the atmosphere, which is at standard atmospheric pressure. The volumetric flow rate at the fan inlet is equal to 135 m3 /min. Calculate the mass flow rate in the duct, the gage pressure at the fan exit, and the input power to the fan, given that the fan efficiency is equal to 70%.

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