How to Calculate Air Flow Rate for a Cylindrical Vessel with Perimeter Holes?

AI Thread Summary
To calculate the air flow rate for a cylindrical vessel with perimeter holes, the discussion centers on a steel drum measuring 22.5 inches in diameter and 34.5 inches in height, featuring 50 holes of 13 mm each. The required air flow rate is sought under a vacuum of 1 inch of H2O at 70°F and 26% relative humidity. An estimated flow rate of 280 SCFM is suggested, assuming a discharge coefficient of 0.7 for the holes. The calculation utilizes Bernoulli's equation, treating the static pressure as velocity pressure. The accuracy of the calibration standard is questioned, indicating potential concerns with the measurement method.
naboulsi
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We are having trouble calculating a required ft^3 per minute air flow for a particular vessel which was constructed to measure the accuracy of a vacuum machine.
Our vessel is a steel cylindrical drum 1mm thick with a diameter of 22.5" and a height of 34.5". It has 50 holes around the lower perimeter measuring 13 mm in diameter. What is the air flow rate if we pull a vacuum of 1" of H20 at a temp of 70 deg. F and Relative Humidity of 26%. Can anyone help us out?
 
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Hi naboulsi,
This probably belongs in the mechanical engineering forum. Anyway, assuming your system is maintaining 1" water vacuum, steady state, and assuming a discharge coefficient for your drilled holes of roughly 0.7 (from experience) I'd estimate your flow rate to be 280 SCFM.
 
The way to calculate it is to use Bernoulli's equation: assuming perfect nozzles, that 1" of static pressure becomes your velocity pressure.
 
That is a pretty poor sounding calibration standard.
 
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