An exhaust fan in a building should be able to move 6

Chapter 4, Problem 179EUP

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QUESTION:

Problem 179EUP

An exhaust fan in a building should be able to move 6 lbm/s of air at 14.4 psia, 68 F through a 1.4-ft-diameter vent hole. How high a velocity must the fan generate, and how much power is required to do that?

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QUESTION:

Problem 179EUP

An exhaust fan in a building should be able to move 6 lbm/s of air at 14.4 psia, 68 F through a 1.4-ft-diameter vent hole. How high a velocity must the fan generate, and how much power is required to do that?

ANSWER:

Solution 179 EUP

Step 1 of 4

We have to find the velocity of air generated by the fan and the power required by the fan do generate that velocity.

The velocity of air generated by the fan can be found using an expression for the mass flow rate of air.

     

Where,

mass flow rate of air

     = 6 lbm/s

Area of vent hole in ft2

V = velocity of air in ft/s

specific volume of air in ft3/lb

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