Attached is a diagram of a typical siphon, with one modification: a valve is added to turn a dynamic situation into a static one to make the analysis easier (possible). I suggest when the issue is how a typical siphon works, we look at a typical siphon.
My siphon shows a 1m height difference between the vessels (higher on left) and an additional 1m to the top of the tube. Questions:
1. What is the pressure at points 1 and 2 (at the top of the siphon, on either side of the valve)?
2. What happens when you open the valve (qualitatively)?
3. Repeat #1 and #2 with half gravitational force (but full air pressure).
4. Repeat #1 and #2 with half air pressure (but full gravitational force).
and a couple more:
5. Repeat #1 and #2 with no gravitational force. (but with air pressure?)
6. Repeat #1 and #2 with no air pressure (but with gravitational force?).
Hhhmmm...
I thought I could make things easier if the tube had an I.D of 2/sqrt(pi) cm, meaning, an internal cross section of 1 cm^2, also, I would like to assume that this experiment is taking place at a very convenient spot on the side of a hill where the atmospheric pressure is exactly 10,000 mm of water at the water surface of the higher vessel and just about the same at the lower vessel...but I am not sure if any of this helps.
...having said that, I still don't like this experiment; in particular, I don't like that valve!Answers (or attempts):
1.- I still don't quite know...am I supposed to count the pressure from the atmosphere? and substract that of the column of water? Pressures...at 1: it should be 10,000-1000=9000? and at 2, 10000-2000=8000?
2.- The water in the siphon flows to the right, thanks to a pressure differential of 1000 mm of water courtesy of gravity influence on water column.
3.- Pressures...at 1: 10,000-500=9500; at 2: 10,000-1000=9000. Open valve, water flows to the right, thanks to a pressure differential of 500 mm of water courtesy of gravity influence on water column.
4.- Pressures...at 1: 5,000-1000=4000; at 2: 5000-2000=3000. Open valve, water flows to the right, thanks to a pressure differential of 1000 mm of water courtesy of gravity influence on water column.
5.- Pressures:...at 1: 10,000; at 2: 10,000.0001 ...would this make the water flow from the lower vessel to the higher one? Does this prove that the siphon works thanks to gravity?
6.- Pressure:...at 1: -1000; at 2: -2000 ... water will flow from the top vessel to the bottom ...just like it is supposed to do. Does this prove that the siphon works thanks to gravity?
are these self-fulfilling answers? does this prove that the siphon works mostly thanks to gravity...just like I have been saying all along?