Pumpsonly,
I think you should have waited for the updated picture. It isn't an airlift pump. He's using the air valve to maintain an artificial atmosphere to control the water level above the sand filter.
PeterThompson,
It looks like a pretty clever control scheme. To address your questions:
1. No, as long as the pneumatic head above the standpipe (above Da) is below the hydrostatic head of the water above the sand filter then water will flow. The farther below, the faster the water will flow.
2. Of course there is a relationship. Look in the FAQ's for this forum and you'll find an equation for the flow area (I would provide a link, but I can't go there without losing what I've typed so far). As long as the effective diameter of the annulus is bigger than Da it won't be a factor in the flow rate. The controlling factor will be air pressure until you reach a point where the pipe is running full (i.e., anytime flow rate in gpm is greater than 10.2*Da^2.5, with Da in inches). After the pipe is running full, then you will be friction limited.
3. Not really. I would expect that if the water level above the sand filter is more than 3-4 ft above the top of the stand pipe (hydrostatic pressure of 1.3-1.7 psig) then you would get strong flow. But remember that the apparent difference in those heights controls flow rate. With pressure above the standpipe, calculating the relative water level isn't straight forward. I would do it calculating a simulated elevation. For example, if the standpipe is 20 ft lower than the sand filter then the hydrostatic pressure is 8.6 psig. If you added 8 psig to the chamber then the apparent height difference becomes 1.4 ft and flow would be slow. The water seal might not hold with 8 psig, but that is controlled by how far the downcommer sits below the weir.
Hope this helps.
David Simpson, PE
MuleShoe Engineering
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