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# Free energy via adjusting buoyancy- why not? Answered

Hypothetical setup- a floating object which can adjust its own buoyancy via ballast tanks full of air (if it's a submarine) or compressing/expanding a helium bag (if it's a blimp).  Naively, it feels like the amount of energy you could harness by letting it float and sink is a lot compared to the amount of energy required to adjust the buoyancy, but I'm starting from the axiom that free energy is impossible so I must have made an error somewhere.

If we take the example of a submarine, is it that filling the ballast tanks with air effectively raises the sea level by a tiny fraction, and that water's potential energy is what makes the submarine float upwards?

I guess in the case of a helium balloon, the act of inflating it pushes the atmosphere upwards and that is what provides it with lift.  This question was prompted by a Youtube video of a hybrid helium-balloon-airliner that used buoyancy to reach altitude and then glided back downwards, which made me think "that's quite a neat idea... hang on... where does the energy come from?".

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Energy is used to compress air, the potential being stored as pressurised-gas. This will probably be an electric-driven compressor.
In "blowing tanks" the gas works against water-pressure.

L

"is it that filling the ballast tanks with air effectively raises the sea level by a tiny fraction, and that water's potential energy is what makes the submarine float upwards?"

Yes.

At depth, you can picture "blowing the tanks" as lifting the mass of the water-column above - the deeper it is, the greater the mass above that needs lifting.

"Lifting" that mass takes energy, re-gained in the rise, but (TANSTAAFL), some of it is lost to fluid resistance.