And
@herman , without stirring the pot too much, don't you think that over-depth-compensating might be of some value in providing a balanced second with a higher driving pressure, given the air density concerns at 5 atm? Not that I'm sure the Mk11 actually does that.
Some for sure but we are talking machine level testing. No diver will tell the difference, remember the second stage is a demand valve so you only get what volume of air you demand regardless of the density of the gas (within reason). The volume you demand is the same at any depth and until you get way past normal rec depths does the density really start to be an issue. Besides the increase in IP at 100 ft is roughly 45 psi of a "normal" reg as opposed to 50ish for an "overbalanced" reg, roughly 5 psi not really enough to make a difference in practical terms. It's enough to make a well tuned unbalanced second stage start to gently freeflow but not much else.
I agree with @Herman’s post. I don't see much of a point with the over depth-compensation, just marketing, IMHO.
It is always interesting the concern about the increase flow resistance due to gas density.
If you look at
Bernoulli’s equation for fluid flow you will indeed see that flow resistance is proportional to the fluid density.
But, if you if you understand Bernoulli’s equation, you will also realize that any venturi educator-jet effect is also proportional to the fluid density.
I am not trying to say that the venturi effect will totally compensate for any increase flow resistance since the amount of venturi effect varies on different regulators, but the actual amount of flow resistance also varies and its effect is often over stated.
The
breathing resistance in a regulator is not really due to flow resistance. The resistance divers feel is because the demand valve is design to close when the suction is too low to keep the valve open. The diver has to maintain a minimum suction to keep the valve supplying air. This is to avoid wasting air. The trick is balancing the lowest possible suction required to open the demand valve without it opening and letting excess air go out the exhaust.
The
required suction (which
is what we feel as resistance) is actually designed into the demand valve. Again,
it is just balancing the minimum suction without causing a free-flow.
For the most part, there is plenty (I mean lots) of stored
pneumatic energy in the compressed gas, that easily overcomes the minor flow resistance found inside the regulator gas path, that includes any flow bends, contractions, expansions, or the insignificant friction. I can only think of one exception with some very small orifices, but that is a separate subject.
I have never actually notice the
increase in the venturi effect (with increase depth) on any commercially available regulator, but I did notice a very strong change in the amount of venturi flow in a balanced single stage regulator that I was designing and testing.
I designed that regulator with an adjustable venturi educator jet and for some dives I adjusted the venturi-jet to be very aggressive on the surface. During the dives the regulator was breathing great at 30 feet deep and a bit deeper. At about 60 feet it was delivering a bit too much air. With every breath there was a bit of extra air going to the exhaust. I had to breath very slowly to avoid wasting air. At about 90 feet the amount of wasted air was way too much. No matter how light I tried to breath, there was extra air going out the exhaust. It was actually a fun, but short, dive. I made a lot of great observations of the venturi response as a function of my breathing .
Regulators are not operating on a steady state flow situation. They are a mechanism that in normal operation is always in a transient state. They are mechanically very simple, but sometimes designing or predicting the gas dynamics with the mechanism is not as straight forward. IMO, that is why venturi effect in commercially available regulators tend to be conservative (not too aggressive) in their design. The dynamic characteristics of the venturi flow can easily become unstable and unpredictable at depth if it was too aggressive.
The most complex fluid dynamics regulator I have design is a balanced single stage regulator. Mechanically a single stage regulator is incredible simple, but analyzing, predicting, and designing the transient gas dynamics was a bit of a challenge. Having a steady IP supplying a demand valve is what makes the modern two stage regulator so much more predictable than the vintage single stage regulator.
Servicing and diving a vintage single stage regulator is very easy, very predictable, and a lot of fun. But during the original design I am guessing there was a lot of trial and error to get it right.
Some general information for those not familiar with all these regulators:
I should point out that the single stage regulator I am talking about are all two hose regulators, one inlet hose and an exhaust hose. The regulator demand valve is mounted on the tank valve and it is supplied directly with full tank pressure. There is not step down first stage valve.
Most double hose regulators are actually a two stage design just like the single hose regulators. The only mechanical difference is that the two stages are built into one body and they are side-by-side, there is normally no hose between the first and the second stage.
Note: I have re-adjusted my balanced single stage regulator and it performs great at any depth now. When I have more time I am planning on continuing the design of my balanced single stage regulator. Just for the fun of it. My designs are somewhat vintage style, but I am using modern design tools (including computer modeling).
Sorry for the long post. I hope it is helpful.