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We have a canister at a set pressure (4500psi) full of compressed air. A single stage pressure regulator is fitted to the canister that reduces the outlet pressure to 850psi. The flow from the regulator is then used in a divergent nozzle to create a thrust force capable of lifting a small mass (2-3kgs). I understand that the mass flow rate is not constant and have obtained graphs using thrust equations for 4500psi with no regulator. The graphs take into account the fact that the mass flow rate and pressure decrease as the canister empties and from the graphs this shows a logarithmic decrease in the thrust generated. Is there a way to calculate the mass flow rate (and therefore the thrust) for the system with a regulator involved?

After the output pressure drops below the 850psi we would shut off the system remotely.

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# Mass flow rate through a regulator

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