I failed to mention that the air will be 80 PSI. Don't know if that means much. But I don't understand what you mean when you say bars, could you clarify that for me? Thanks for all the help.
How it WorksDuring pressurization, pressure is trying to blow the second stage out of the top of the first stage fitting. This force is proportional to the cross sectional area of the nozzle tube. The second stage is retained by friction between the nozzle tube and the sheath, since air between the tube and sheath can escape to the atmosphere. The retaining force is proprotional to the surface area in contact times a friction coefficient). The weight of the sustainer (mass x 1g) also helps keep it together. Since the nozzle is long relative to its diameter, the blowoff force is smaller than the retaining forces, so no separation occurs. Pressure builds equally in both the first and second stage, since the check valve allows upward flow with no resistance. At launch, the pressure in the first stage declines, and the check valve closes. The sheath begins to expand as differential pressure builds, but the retaining force is aided by the inertia forces (second stage mass x 10g or more acceleration).When the last of the water leaves the first stage, the pressure in the first stage abruptly drops, inflating the sheath. The retaining inertia loads are also disabled by the end of the first stage thrust, and the stages separate.