Bernoulli and Venturi theories assume no loss and a perfect gas.
Instead a regulator is an high loss device, where the valve is laminating the fluid, so pressure is decreased wasting the associated potential energy.
If the gas was perfect, the expansion would be iso-enthalpic, hence isothermal. Not iso-enthropic (reversible)..
As air is not entirely a perfect gas, the irreversible expansion causes some temperature reduction (Joule-Thomson effect).
So what happens in the reg is very far from what Bernoulli or Venturi theories describe.
What usually is described as "venturi effect" is just the fact that increasing the flow causes some suction on the diaphragm, reducing the depression required for keeping the lever depressed. This reduces also the area of the respiratory cycle, and hence the associated work.
But calculating what really happens is truly complex, do not think that a super simplistic model such as those provided by the Venturi or Bernoulli theories can provide realistic description of what's happening inside a regulator. Proper modelling can only be done with high-end CFD computer programs, such as Fluent, Ansys or Comsol.
Instead a regulator is an high loss device, where the valve is laminating the fluid, so pressure is decreased wasting the associated potential energy.
If the gas was perfect, the expansion would be iso-enthalpic, hence isothermal. Not iso-enthropic (reversible)..
As air is not entirely a perfect gas, the irreversible expansion causes some temperature reduction (Joule-Thomson effect).
So what happens in the reg is very far from what Bernoulli or Venturi theories describe.
What usually is described as "venturi effect" is just the fact that increasing the flow causes some suction on the diaphragm, reducing the depression required for keeping the lever depressed. This reduces also the area of the respiratory cycle, and hence the associated work.
But calculating what really happens is truly complex, do not think that a super simplistic model such as those provided by the Venturi or Bernoulli theories can provide realistic description of what's happening inside a regulator. Proper modelling can only be done with high-end CFD computer programs, such as Fluent, Ansys or Comsol.