Glad to see my favorite thread is still alive and kicking. With regard to the size of tube affecting bubble dwell time the conversation has once again moved into my circle of knowledge. Since this is the advanced topics thread I'll go ahead and not pull any punches; I don't feel the need to pander here.
Fluid flow velocity is a factor of 4 parameters: fluid viscosity {μ}, fluid density {ρ}, fluid velocity {v}, pipe diameter {D}. This neglects skin friction losses which in skimmers is trivial. These four parameters are used to calculate a dimensionless ratio or number called the Reynold's Number. It is dimensionless because all the units cancel each other out leaving only a ratio. This ratio is the ratio between the viscous forces and kinetic forces in a fluid flow situation. When viscous forces dominate flow occurs in streamlines which don't intermingle (think good drivers on a very packed interstate where no one is changing lanes). When kinetic forces dominate viscous forces, the streamlines start to swirl and intermingle (think 1,000 car pileup happening at 100 mph or if you've ever driven in downtown Rome...).
The Reynolds number is given by Dvρ/μ. Where the numerator is the magnitude of the kinetic forces and the denominator is the magnitude of the viscous forces. Reynold's numbers below 2,000 make up the laminar flow regime. Between 2,000 and 2,500 is a transitional flow regime. Above 2,500 is the turbulent flow regime.
In the laminar flow regime, fluid velocity changes significantly between the wall and the center of flow. At the wall the flow velocity is zero. This is the no slip boundary condition that I mentioned on the first page of this thread. A typical laminar flow velocity curve looks like this.
In turbulent flow this orderliness starts to break down and plug flow starts to form. As the Reynold's number increases the flow velocity curve flattens out and becomes less parabolic. This means that fluid near the wall can have the same velocity as fluid in the ceter of the pipe. This is why turbulent flow is sometimes referred to as plug flow, because there is a plug of fluid in the center moving at a uniform speed and a ring around it which is moving slower (which creates drag). A low Reynold's Number turbulent flow velocity curve looks like this.
At very high Reynold's Numbers, this curve is essentially flat meaning that there is a very thin ring of stagnant/slow fluid around the pipe wall and the rest is rocketing through the pipe. This thin filim is called the laminar sublayer and is in fact laminar. The flow will break turbulent just a little ways away from the pipe wall.
Ok, that is the preamble, now to the point. In a typical skimmer, the Reynold's Number will be far into the laminar flow regime which means that the fluid velocity changes a lot from near the wall to the center. Also, the flow velocity at the center in unlikely to be all that fast anyway. In a garden hose with 100 gph going through it the Reynold's Number will be far into the turbulent flow regime which means that most of the fluid is moving at the same speed and this speed is pretty healthy.
Air bubbles (or any bubbles it doesn't matter) have a critical flow velocity called the incipient flow velocity. This is the velocity at which they become entrained in the flow around them. All this is is the velocity at which the drag forces on the bubble are greater than the bouyant forces on the bubble. In our counter current flow examples with conventional wide skimmers we are nowhere near the incipient flow velocity of air bubbles in water so they will rise as if there were no flow at all. If we keep the same flow rate but narrow the skimmer to 1/2" we will far exceed the incipient flow velocity and sweep the air bubbles out the bottom of the skimmer. If we approach but don't exceed the incipient flow velocity we get what we are after, long dwell times with slowly rising bubbles.
I know I didn't supply all the equations for calculating flow velocity at a given distance from a pipe wall or for calculating the incipient flow velocity but I'm not sure we really need them. In order to approach the incipient flow velocity of air bubbles we would need INSANE flow through typical skimmers (greater than 3" in width). This will cause turbulent flow which will strip proteins back off the bubble walls which is what we are trying to avoid.
Just doing my part to keep the Advanced Topics thread true to its name.