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Aug 25, 2022 at 2:03 comment added pentagramman Thank you for your answers Penguino! Much appreciated!
Aug 25, 2022 at 1:52 comment added Penguino So long as the siphon is a closed tube (otherwise it would leak into your biosphere) then the equilibrium I described will hold. A pump would cause the water to flow in the siphon temporarily (you could chose either direction) but the flow would decay rapidly. Of course if your siphon does leak into the biosphere then you can extract energy from the water flow - but only until the biosphere is flooded. As there is basically no energy source/sink in the situation you are describing, for it to work would require a perpetual motion machine - which is always physically impossible.
Aug 24, 2022 at 15:46 comment added pentagramman Wouldn't the inside pressure of the bio sphere which would be different from the outside water pressure effect the pressure in the siphon to not be the same equilibrium of the outside water pressure? Especially if the temperature of the biosphere effects the temperature of the water in the siphon? I also forgot to mention that the siphon would use a pump to get the flow started. Would that have any effect to destabilizing its equilibrium to the outside pressure?
Aug 23, 2022 at 21:57 history edited Solomon Slow CC BY-SA 4.0
Corrected spelling and typos in a few places.
Aug 23, 2022 at 21:33 history answered Penguino CC BY-SA 4.0