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Lv 6
? asked in Science & MathematicsEngineering · 9 years ago

I tried to find out in?

automotive arena and didn't get the exact answer I was looking for so I am trying this field. I would like to know the exact amount of air, cubic feet per minute, that would be moved,at 90 PSI, thru a 1/4 inch air line if the line were to be cut.

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  • 9 years ago
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    You will NOT get an exact answer, because the flow rate will depend on too many factors, including the length of the line itself.

    Your best bet is to calculate the volume of air that would need to be released between 90PSI and (say) 85PSI, then cut the line and time it from 90 to 85. The compressor would need to be STOPPED.

    You would need to do a little assuming, but I think the figure would be only a little under the loss volume, assuming the compressor will maintain 90PSI.

    Remember, the loss will depend on the line length as well, so it's no good undoing the line at the compressor and timing that, you need to open the line at the far end for best simulation.

  • 9 years ago

    To determine air flow through an orifice:

    Q = ACK(P)^0.5

    Where:

    Q = Flow rate in Cubic Feet per Minute

    C = Orifice Coefficient

    K = Constant = 14,786 when P is expressed in In. Hg

    21,094 when P is expressed in PSIG

    4,005 when P is expressed in In. of Water

    (Above constants are based on an air density of 0.075 lbs/ft)

    P = Pressure differential across the orifice

    A = Total orifice area expressed in square feet =0.0003409 sq,ft. fo a 1/4" hose

    For your case use an Orifice Coefficient of 0.72

    Q = .0003409 x 0.72 x 21,094 x (90)^0.5

    Q = 49.12 CFM

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