The object of the question was to discover the mechanism by which the AOT increases the volume of crude pushed through a pipe over a given period of time.
I don't understand your explanation for the mechanism by which volume is increased.
The temporary change in diameter of tube, as it goes from the main pipe into the AOT and back out again, probably could not play a huge role in all this, could it? Maybe the four openings for the AOT are bigger than the diameter of the tube, but the increase of the addition of a bit of diameter for a couple of meters must be insignificant.
The key is how lowering viscosity at any section of the pipe increases volume over a stretch of pipe including treated and untreated oil over a given time period - all other things remaining the same.
However, I think the premise of the question originally posed at the other board was off. A and B are interconnected when it's a bit cylinder of contiguous oil in a tube - so using cars traveling at a certain speed makes no sense. With a liquid, the top speed is limited by the viscosity, friction, pressure at which its being pushed, and probably other stuff like how it flows (that so-called Reynolds number, which I think is simply a way of measuring/describing how a liquid flows). So I think what happens in our case is that once you drop the viscosity at a stretch of pipe between two more viscous sections, you get through that whole segment an increase in volume over time because you've created an efficiency in the system. I.e. B's increase in volume due to viscosity drop leads to A's increase in volume, and C's as well (the next section of the pipe, where the crude turns from treated to untreated again).
I would appreciate it if STWA had a proper and complete explanation on their website. I think they're pretty focused on the biz now, and I honestly won't care as long as we're on NASDAQ.