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137 gallons per linear inch cubic inch...none of that jives to me.Fill a 5 gallon bucket, time it, do the math. My water level is less than a foot below the outlet, so I get 1080ish gallons per hour, not much back pressure.
Sluice is 10 inches wide, divide the gallons per hour by that.
Maybe this will help...
Known fact in the pond community is that 3.1 GPM/186 GPH per inch of width of the waterway makes water flow ~1 inch deep. Doubling your water flow rate to 3.2 GPM/372 GPH per inch of width of the waterway only increase the depth of the water to 1.66 inches. The .33 left over from the doubling of water flow gets added to the actual speed of the water. The same is true of cutting your flow in half.
For example:
A ten inch wide waterway needs 1860 gallons per hour to be 1 inch deep. If you double your water flow to 3,720 gallons per hour, you get 66% deeper water that flows 33% faster. If you cut 1860 in half to 930, it is 66% shallower and 33% slower.
Hope this helps :-)