Maintaining constant air pressure in leaky container

AI Thread Summary
To maintain 50 psi in a 30,000 cft cylinder with a 50 ft long and 1/8 inch wide leak, calculating the necessary air-supply flow involves using Bernoulli's equation to determine airflow through the gap. The airflow calculated should then be divided by 2 to account for a 50% nozzle efficiency, resulting in a significantly high air volume requirement. The formula q=f(p,V,L,w) can be applied to derive the necessary compressor capacity based on the given parameters. The discussion emphasizes the challenge of maintaining pressure due to the leak's size and the substantial airflow needed. Ultimately, achieving constant air pressure in such a scenario requires careful consideration of these calculations.
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How can I calculate the air-supply flow (q=cfm) needed to maintain, say, p=50 psi of pressure in a (quasi-rigid) cylinder with a Volume of V=30,000 cft, when this cylinder has an open gap (leak) 50 ft long (L=50 ft) and 1/8 inch wide (w=1/8 inch)?

Is there a simple formula I can use to compute the necessary capacity of an air compressor (needed for supplying the air flow) as a function of the parameters given above
[q=f(p,V,L,w)] ?
 
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Use Bernoulli's equation to figure out the airflow through the gap with 50 psi of backpressure. Then divide by 2 to figure in a 50% nozzle efficiency. You'll find it to be an enormous amount of air.
 

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