joebob24
Contributor
It might have something to with with the Venturi effect, but I doubt that would be in the second stage. I suspect it has something to do with choked flow at the valve outlet: Choked flow - Wikipediait should have to do with the Venturi Assist of the 2nd stage
Once the flow goes supersonic from the sudden pressure change, all kinds of weird things happen that aren't always intuitive. Adding a first stage would reduce the pressure drop at the valve, which would also increase the density of the air. Higher density equals higher mass flow rate? I don't really know, but I suspect it is somewhere along those lines.