I have a system with a pressurized nitrogen that pushes water out of a tank. Bernoulli's equation tells me the exit velocity if I suddenly open the valve, but I'm confused on how to account for a potential nozzle diameter? My intuition tells me if I restrict the flow at the valve, the velocity should increase, yet Bernoulli's equation does not account for this, right? I've calculated the exit velocity to be about 57 [m/s], but what would happen if I add a nozzle that is half the area of the exit pipe? Is it wrong to assume flowrate would be fixed?
I'm sorry if this question seems too simple, but I would appreciate help figuring out what a nozzle would do to the flow.