What is the volume of air required to generate 1 lb of thrust at sea level with a 2' diameter jet engine?

Question:
I have asked several pilots this question and they have answered with a dumbfounded look on their face, i understand that there are several factors to consider, but i'm just looking for the easiest answer w/these factors, sea level, 2' diameter, no afterburners, 80 degrees fainheit. i just need the volume of air required in 1 second to generate 1 lb of thrust

Answers:

Hi, a question about airplane and jets?? thanx!!?

The formula you need here is T = (massflowrate)*velocity

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= rho*A*v^2 For this to equal 1, v^2 = 1/(rho*A)

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Your area is pi sqft, your rho is .00238 slugs/ft^3 ---> v^2 = 133.74
From which v = 11.56 ft/sec The volume flowrate is then

what are these?

dV/dt = A*v = pi*11.56 = 36.33 ft^3 / sec

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I didn't bother to correct for higher than standard temp; this would make the answer a little higher........

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Assuming airflow isn't choked (shouldn't be with the pathetic thrust and size of the inlet) use this formula:

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Wa/g(V) = Thrust where:

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Wa is the airflow in pounds per second

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g is 32 ft/s^2

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V is the velocity of the airflow.

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Now do you see why everyone is confused? There are two variables, the Mass airflow and the velocity of it.

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