The Auftriebskraftwerk has nothing to do with a Sterling motor.
The Sterling motor uses temperature/pressure differences to move a piston. The Auftriebskraftwerk does not use temperature differences at all.
It simply compresses air which is pumped into the water tank (against the water pressure due to the water height). That's all.
Your opinions here are noted, however I disagree.
zaeld schrieb:Of course the air is getting warmed during the compression, but it also cools down when it expands during the way up through the water in the Auftriebskraftwerk.
I believe you are mistaken.
Yes, the air temperature increases during compression. This "heat of compression" however is driven off or removed by cooling fins and fans on the compressor itself and heat is also dissipated into the water tank ON THE WAY DOWN.
To say that: "it also cools down when it expands during the way up through the water in the Auftriebskraftwerk." and also:
zaeld schrieb:In the best case, all the additional temperature energy stays in the air through the way up, and loses its energy due to expansion until it reaches the room temperature from the beginning before the compressor, when the air bubble arrives at the top of the water.
is untrue and also a contradiction or at best misleading.
Does the gas released into the evaporator of a heat pump and absorbing heat from the surroundings lose energy due to expansion? You have it backwards. The expanding gas is not loosing energy, it is taking in energy as it expands. It could however be simultaneously loosing energy in the form of "WORK" due to the lifting force.
loses its energy due to expansion until it reaches the room temperature
This statement is self-contradictory.
The air injected into the canisters becomes cold upon release. It does not "lose its energy due to expansion". From there on up any potential temperature reduction due to expansion is compensated for by taking in heat from the water it is surrounded by. infact, as you point out
the temperature of the air INCREASES: "until it reaches the room temperature".
Initially the air, upon release into the canisters, gets COLD. VERY COLD (potentially), the temperature would drop down to around -150 degrees F (more or less, depending on the initial pressure and the degree of prior cooling while being compressed) if not for the fact that it is being injected into relatively or comparatively VERY HOT water.
The injected air expands EXPLOSIVELY, taking in heat as it expands into the canister. The water is forced out of the canister, not so much due to pressure from the compressor but due to expansion that results from HEAT/ENERGY ABSORPTION from the the surrounding, comparatively VERY HOT water.
zaeld schrieb:partly it warms the water in the tank during the way up - resulting in the effect that the air is getting colder than the original room temperature, so the air bubble in the tank is smaller at the top of the water and thus produces less bouyancy, which reduces the effectivity of the whole machine.
This is all COMPLETELY INACURATE.
The expanding air does not "warms the water in the tank during the way up" quite the opposite, the expanding air cools the water as it expands and takes in heat. "the air is getting colder than the original room temperature" The air gets, potentially VERY cold upon release into the canisters. from there on up it both expands as the pressure is reduced but also takes in heat. The air cannot be simultaneously "getting colder" as the temperature increases back up to "room temperature".
so the air bubble in the tank is smaller at the top of the water and thus produces less bouyancy
Utter nonsense.
How do you come to the conclusion that a "bubble" of
EXPANDING air becomes "smaller" when it reaches the top of the tank?
A jumble of contradictions and not very clear thinking.
There ARE plenty of "temperature differences" or POTENTIAL temperature differences or THERMAL energy transfers and/or conversions taking place.
Some of those energy transfers are not readily apparent due to taking place within closed canisters or inside cylinders, piston/compressors, transfer lines etc. but such thermal/heat/energy transfers are most certainly taking place.