OK, I'm new to this board, and new to tech diving, and haven't done "cold" water diving, but I'm not new to gas laws or thermodynamics. So, I used some software to calculate temperature drops solely on pressure drop (not flow rate) in an adiabatic expansion of bone-dry air. I used 15 PSIG for 33 feet depth, 125 PSIG for second stage inlet pressure, and a gamut of first stage inlet pressures. Results were there is only 3 degrees Farenheit drop in temperature in the second stage from intermediate supply pressure of 125 PSIG for adiabatic expansion. Of course, the deeper one would go, the lower the difference in these two pressures (discounting the newer "overbalanced" diaphragm first stage designs), and so the lower the temperature drop from adiabatic expansion would occur.
However, there is certainly a significant drop in temperature in the first stage if this system is treated as an adiabatic system. At 1800 PSIG tank pressure (older steel tanks), to the 125 PSIG intermediate pressure, there is a 36.5 degree F temperature drop. For 2400 PSIG in the tank, there's a 46.5 degree F drop, for 3000 PSIG in the tank there's a 58.0 degree F drop, for 3500 PSIG high pressure steel tanks starting off there's a 60.3 degree F drop, and for 4350 PSIG tank pressure, there's a 67.3 degree F drop.
So, if the regulator first stage is viewed as an adiabatic system, one risks reaching 32 degrees F in a first stage with 90 degree F 3000 PSIG tanks on the first breath!
The conclusion is these systems are far from adiabatic, and in my opinion, are attempted to become as isothermal a system as possible. Has anyone had freeze-up in their first stage with 3000 PSIG tank supply pressure and tank / water temperature around 90 degrees F? How about 70 degrees F? I haven't seen a report of such posted.
From what I can see, the Scubapro TIS and AF system, and especially seeing its latest incarnation with extended heat transfer surface area (fins) and enlarged ports for easier ambient water flow, look to me to attempt to render the first stage operation as isothermal (rather than adiabatic) as possible. This appears empirically to have a mixed degree of success by the postings on this board versus the diaphragm systems with dry seals in low temperature waters. But even a dry sealed diaphragm system will depend heavily on heat transfer with the surroundings (i.e. not adiabatic operation) to not freeze up internally, and both systems depend on a low tank air moisture content as well. If a diver is moving, the approach to isothermal operation will be greater than if the diver is stationary too, as this will keep more flow of water across the first stage for heat exchange, lowering the temperature drop of the mass (or volume) of water the heat is being exchanged with at any one point in time. The same can be said for second stages like the Aqualung Glacia et. al. - they have extended heat transfer surface area in an attempt to achieve a better approach to isothermal (rather than adiabatic) operation.
I haven't even started to look at things like hydrate formation if CO2, CO, etc. is present (even in ppm quantities), although these are real-world effects well documented.
The discussion on first stage flow rates as contributing to this effect also leave me a bit puzzled, as if it's one diver using one second stage per first stage, the flow rate will be limited to whichever device has the lowest rating - and these all appear to be the second stage. This is 5 to 10 times less than the rated first stage flow rate. How then can the rated max capacity of the first stage be a root cause to the freeze-up? I just don't understand - I understand such freeze-ups do occur, just not this explanation of "why", unless the diver is also simultaneously laying hard on their BC or dry suit inflator etc.
So, I've done my bit of science here, and if the answers were easy on how to absolutely prevent regulator freeze-up, these threads wouldn't exist on the discussion of same. But one of the key items I see is a properly dried compressed gas supply no matter what brand / design of regulator is used. The second would be technique gained by training and experience in this type of diving, which would include redundancy in equipment and lots of practice drills.
Honestly, after reading through all this, saving my diving for more equatorial latitudes rather than local now that I live in the Great lakes area looks more appleaing to me all the time - or at least keeping my eyes peeled for a transfer back to the Gulf Coast . . .