Sherm71tank,
To answer your question, you will find formulas for turn time, bombardment rate, volume of air, bubble rise time, air flow rate, and dwell time, in P.R. Escobals "Aquatic Systems Engineering: Devices and how they Function". They're not for the layperson, but they answer your question. Skimmer manufacturers don't use formulas as profit lies in hype, not science.
Jdieck,
On the surface, it appears to be a "six one way, half a dozen the other" with respect to bombardment rate and dwell time, but there are other factors to consider here.
1) Bubble stability: If you have a rapid bombardment of air "hitting" the passing water, you will have a fast "bubble rise time". A fast rise time, with a subsequently short contact time, will yield bubbles of lesser stability, as they've collected fewer surfactants. Unstable bubbles will merge together and prematurely pop before the surfactants (surface active agents) can be collected at the top of the neck. Coated, stabilized, bubbles are less efficient at binding proteins, but they are a superior delivery system.
2) Hydrophobic (surface active), semi-hydrophobic, and hydrophylic (water soluble) proteins: Wet skimming will remove more hydrophylic proteins, as water soluble agents are easily collected and exported before the bubbles get the chance to pop. The rapid action of wet skimming (high bombardment ratio) can actually remove POC (particulate organic carbon), as particles are juggled from one bubble to the next as they merge in the riser tube. Conversely, dry skimming will remove more hydrophobic proteins, as the increased amount of air interface allows for stable migration. A longer dwell time will give phydrophylic proteins more time to bond to bubbles, thus removing more DOC (dissolved organic carbon). The added benefit of wet skimming is the passive water change that occurs. You just have to keep an eye on salinity and make sure you don't flood your floor. It doesn't matter how efficient the skimmer is if your wife throws it out on the front lawn with the rest of your stuff.
3) Fractionation method: The smaller the bubble, the greater the surface area (air/water interface) and stability. Wood air diffusers generate ideal bubbles < 1mm. Downdraft, venturi, and needlewheel technology form much larger, less efficient bubbles. The mechanical method required to make these aspirated bubbles also causes more aggitation in the contact chamber, diminishing the contact time and bubble stability. These mechanical methods do however provide a faster rise time. The bombardment rate isn't however increased, as air pumps and diffusers introduce more air than aspiration methods, with no additional water flow required.
4) Ozonation: Onoze injection increases the protein skimmers overall efficiency through oxidation of organics, but bubble stability decreases with the extra atom of oxygen, lowering its' ability to export POC & DOC. Contact time should be longer when using ozone, firstly to allow the bubbles to be coated (stabilized, and to allow the ozone gas to break down larger organics. These larger pigmented organics are the ones we want to remove for water clarity.
In summary, if we want to remove the maximum amount of proteins, in all forms, we want a long dwell time and rapid bombardment rate.