Need help on basic fluid volume calculation

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To calculate the volume of air released from a pressure vessel when regulated from 4500psi to 100psi and opened for 0.1 seconds, it's essential to consider factors like the size of the valve opening and whether the flow is choked. The simplest approach assumes choked flow, but accurate results depend on specific system details. Building a prototype for testing is recommended to obtain precise data. This method allows for real-world validation of theoretical calculations. Understanding these principles is crucial for developing an effective pneumatic shift system for a formula car.
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Need help on basic fluid volume calculation!

Hey guys, I need some help calculating a volume.

Ok, so say we are given a pressure vessel with an 88ci volume @ 4500psi which is then regulated down to 100psi and we open a valve for 0.1 second. How many cubic inches of air would be released?

The reason why I am asking is because I am developing a pneumatic shift system for a formula car. And I need to know how many shifts we can get per tank of compressed air.

Im not sure as to which formula to use but I figure someone here would.

If you need any other information just let me know.

Thanks!
 
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It depends. The simplest possible answer would be to assume that the flow is choked, but even that would require knowledge of how large the opening is, and it may or may not be close to the correct answer (depending on the details of the system). Your best bet is probably to build a prototype and test it, if that's in your budget.
 

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