Sorry for the long post but I wanted to write some of this down.
Thanks xoomercom.
Rookie07 mentioned this before and now xoomercom so I thought I should do some calculation. BTW, I found out that cylindrical overflows are popular in Japan.
In this
thread Acrylics (James) explains the flow of water thru teeth. He's one of the few people on RC that I would take at his word. He said, "at *max* flow, a 1" deep slot x 1/4" wide will flow about 40gph." So I decided to do some calculations.
Perimeter of 4" cirlce = (2)(pi)(r)
2*3.14*2 = 12.56
1/4 * 0.5 = 20gph => 1"*0.5" = 80gph
1/4 * 0.75 = 30gph => 1"*0.75" = 120gph
1/4 * 1 = 40gph => 1"*1" = 160gph
1/4 * 1.25 = 50gph => 1"*1.25" = 200gph
1/4 * 1.5 = 60gph => 1"*1.5" = 240gph
@ 0.50" => 12.56*80gph = 1004.8gph
@ 0.75" => 12.56*120gph = 1507.2gph
@ 1" => 12.56*160gph = 2009.6gph
@ 1.25" => 12.56*200gph = 2512.0gph
@ 1.5" => 12.56*240gph = 3014.4gph
So with a 4" tube overflow with water draining from 1" above the overflow it can do ~2000gph. I was like cool but then I remembered that I'm using a durso type standpipe (stockman or hofer gurgle buster) and those can do 1200gph or 1500gph in a 1.5" pipe safely. The can do more but then they approach a siphon and can overflow your tank.
This got me thinking back to what I wanted to do in the first place which is
Herbie's Silent Overflow System. Herbie utilized a complete siphon meaning no air, the pipe is totally full of water. You match the water returning to the tank by using a ball valve on the drain. This can be dangerous because something can get stuck in the standpipe or if your not careful in setting it up you can flood your tank. Durso's have this same issue but because the standpipe isn't full of water it can compensate by taking in less air and more water. What Herbie purposed was to have an emergency backup pipe which can take any extra flow if something happens to pipe one. The advantages with this system is its completely silent, not quiet like the dursos, but really silent, no noise and not air bubble entering the sump. The reason I went away from it is because I would have to drill at least 2 bulkheads.
But curiosity got me last night so I thought, let me figure out how much gph can go down a 1" pipe at full siphon.
Wikipedia has a good description on siphons. Now a siphon depends on the pipe diameter but also the height difference between the tank and the sump. I did some quick calculations to get an estimate, mainly because I didn't account for friction in the pipe itself. Elbows, pipe friction all will reduce the max gph thru the pipe.
Siphon Velocity = sqrt(2*g*h), where g is gravity and h is height difference.
V = sqrt(2*32.174 ft/s^2 * 39") => sqrt(2*32.174 ft/s^2*3.25ft) = 14.46 ft/s
Wikipedia also has a page on flow rate, which says
Q = A * V, Q is flow, A is area and V is velocity. So
Using this
site convert ft/s to in/hr and for calculating for a 1" pipe
Q = (14.46 ft/s) * (pi r^2 in^2)
Q = (624671.96 in/hr) * (3.14*0.25 in^2)
Q = (624671.96 in/hr) * (0.785 in^2)
Q = 490367.49 in^3/hr
converting from cubic inches per hour to gph again
here, we get
Q = 2122.80 gph
lets take 10% for unaccounted loses and we get ~1900gph.
So I thought is there anything to back up this number or is it complete bs. So I did some searching and luckily someone just asked how much gph can go thru these pipes and this guy just answered
here.
rdmpe said:
I have a 1.5" drain handling a dart sump return with a lot of flow. IME, the fully submerged drain valve can handle all of this flow while nearly closed. It's a little crazy but the 1.5" valve is closed to the point that the opening is maybe 1/2" across. The siphon that is formed from the submerged drain can handle much more flow than my dart could ever put through it.
Half a 1.5 drain is a 1" drain and at 6' the dart does around 2200gph. Now, I don't know this guy's setup or if the valve is actually closed precisely 1/2 way but the numbers are close enough to push me in the direction of doing a siphoned standpipe.