Using the calculator you linked (thanks), how does the math work when the water flowing from the BD will flow approximately 2' up hill to the prefilter. The prefilter can easily be made level with the pond water level. The pipe is going to be 15 feet long.
OK, the up hill thing...This is what I was trying to explain in post #18, I'll give it another try.
The calculator I gave only computes how much water will go thru a pipe only using gravity. It doesn't care about up hill, or down hill, just "drop". If you have a single length of pipe then up hill, down hill and drop are all the same thing. But you're looking at a single length of pipe, not the entire "pipe".
Here's a cut away view of a horizontal pipe with 90 degree elbows on each end, with some water inside. If we drop one end of the pipe water will start to flow out that end.
OK, duh, that's obvious. But consider this, what if I dropped the end just a hair? The pipe wasn't 100% full, so no water would actually flow out. No water would actually flow at all. It's only the surface of the water that matters when we talk about drop. I have to lower the surface of the water in one end to be below the surface of the water in the other end. It's true, to lower the surface I must first lower the top lip of the pipe below the surface of the water. Water does seek level, but not instantly. And what controls the speed? Pipe size.
Let be push this point further... What if I add a larger fitting on each end and add some more water?
Same deal as before. What if those fittings I added were 12" across or 12' across or 12 miles across? Nothing changes. If I drop one end water will start to flow out the lower end. As you've guessed by now one of those "fittings" is your pond and the other is your first filter tank. That's the "pipe", the entire system.
The point I'm making is the gravity flow calculator uses the drop from one end of a pipe to another. It's more accurate to say the calculator uses the drop from one "open end" to the other "open end" and even more accurate to say from one "water surface" to the other "water surface".
Back to up hill... What happens if the horizontal pipe goes up hill instead?
Nothing changes. If I drop the right end water will flow out exactly as before. Or I can drop the left side...now that "up hill" pipe could be considered a "down hill" pipe. Same drop = same flow. Like a
Honey Badger, gravity don't care.
With that, back to your question...
Using the calculator you linked (thanks), how does the math work when the water flowing from the BD will flow approximately 2' up hill to the prefilter. The prefilter can easily be made level with the pond water level. The pipe is going to be 15 feet long.
The prefilter and pond can and should be at the same level, which is basically my 3rd drawing. If they're at the same level there is no flow once they even out.
Before, when talking about pipes, I could drop one end and water would flow. We can't do this with a pre-filter, it stays in place. We don't actually have to drop the filter, we only need to drop the water level. If we remove 1 gal from the tank about 1 gal will flow from the pond to the tank. Obviously this is done with a pump.
Post #23 explains the rest.
Trivia: I said we can't drop the prefilter, well that's exactly what a Cetus sieve does if you've taken a look at those. The floating weir is the "other open end" and it goes up and down as needed.
Simply thinking, up to the max capacity of the pipe, won't the pre filter tank be filled at the same rate that the water is leaving the tank because of gravity's desire to keep them level? If so, I can't them figure out the flow through the 3" BD pipe until I know how quickly I can get water through the drums?
What am I missing?
I'm not sure I understand the part in bold, but I'll go on...
You might be missing one of two things, time or pipe size. Given enough time the water level in both tanks will become level. Pipe size defines that time. The gravity flow calculator computes
gals per second, time. If your BD pipe was 1/2" instead of 3" and your pre-filter was empty and you opened a valve it would take longer for the tank to fill, 1/2" pipe vs 3", obviously. The not so obvious part I think is that most people kind of get it in their head that a 3" pipe is huge, probably the biggest pipe they've ever seen and it can handle any amount of water a regular pond needs. But 1/2" or 3", it's all the same deal, just different numbers.
Beyond what's above...there are additional calculations that deal with pipe size, length of the pipe, number and kinds of fittings. These are friction loss calculations. Right now I'm just trying to get you into the ball park so I wouldn't worry about friction loss for now. I don't think friction loss is really going to amount to anything anyways. Gravity flow is the big one.