matt brown wrote: ↑Sun Dec 15, 2024 6:54 pm
If the air is compressed via an ideal isothermal 2:1 compression, then ideally fed to canisters, and then expanded via an ideal isothermal 1:2 expansion during ascent, there's no net work output possible.
You're thinking that 1:2 isothermal expansion + buoyancy > 2:1 isothermal compression, but ignoring that this buoyancy is a consequence of the isothermal expansion whereby 1:2 isothermal expansion = 2:1 isothermal compression.
The only way this KPP scheme can achieve Wpos>Wneg is via "expansion">compression. This is fairly simple...(1) replace water with high temp oil (2) place tube in sun (3) reduce air input to canisters
However, I prefer...(1) keep hot tube (2) nix bogus air compressor (3) inject water into canisters which flashes to steam (4) retire to Malta before Big Oil finds you
Keeping oil hot enough to flash water to steam would require considerably energy input to heat the oil.
Logically, it SOUNDS correct that 2:1 compression + 1:2 expansion results in no gain, however I'm not so sure based on my observations of the thermal properties of Stirling engines, which, of course, I think both you and "fool" refute or attribute to experimental error or some such thing.
However, IMO, there are some things that make me think this contraption could be a quite powerful and effective "ambient heat engine".
First of all, COOLING a gas is as effective as mechanical compression in terms of reducing the volume of the gas. So rapid cooling during compression cuts down the work load on the compressor tremendously.
As previously shown via Ideal gas Law, compressing and cooling air, then removing the pressure from a mere 2 atm back to 1 results in sub-zero temperature air, even per fools conservative calculations.
Now if you consider my Stirling engine experiments as indicative of anything, or my ideal gas law calculations, Isothermal expansion results in 100% conversion of heat into work, which results in cutting pressure by 1/2 which results in a return to the start volume.
In other words, in a Stirling engine the piston returns due to the 100% conversion of heat into work so at BDC the internal cylinder pressure is 1/2 ATM and external pressure returns the gas to its original volume and the piston returns almost all the way back to TDC,
So, translate that into this buoyancy scheme and consider the possibility that this heating / expansion / energy conversion / volume reduction cycle takes place isothermally and continuously all the way up this very tall cylinder of water.
Isothermal expansion means there is negligible change in temperature. So the gas essentially just keeps on absorbing heat and doing work as long as it is being restrained from a more rapid assent.
The gas just keeps on taking in heat like boiling water or melting ice, but does an equivalent amount of work, inch by inch, geared up multiple times so this slow progress results in rapid RPM and high efficiency at the generator.
Due to this continuous conversion of the influx of ambient heat into work, the gas expansion is very gradual and the rise in temperature of the gas is nearly non-existent as the work output is exactly equivalent to the heat input. But heat input is rapid and continuous.
Unlike the heat rejected to ambient by the compressor, the available ambient heat that moves in to replace it is inexhaustible and is also instantly and continuously converted to work output with almost negligible increase in temperature and volume other that from the ordinary pressure reduction as the canisters slowly rise and the water pressure is gradually reduced.
On top of that, only a relatively small volume of cold compressed air needs to be injected into the canisters in small metered doses as the cold compressed air will increase in volume during its travel up the tube.
If the air is compressed more than 2 ATM, of course, the injected temperature will drop accordingly and the heat intake and potential work output should also multiply in the same way any Stirling heat engines puts out more power with increased ∆T though there is no absolute volume change in terms of moles and no temperature change because there is 100% conversion of heat into work so there is no heat "rejected".
This slow moving buoyancy device could be the perfect isothermal ambient heat converter.
I'll tell you, I used to live on the beach in the summers growing up and did a whole lot of swimming with various flotation devices and I can tell you the force of buoyancy is no joke.
It would be nearly impossible to hold a gallon jug full of air a few feet below the surface.
We used to play games trying to stand on small Styrofoam mini surf boards. It would look like we were walking on water, my brother's and I, the small Styrofoam surf boards just a few inches below the surface, but standing that way it would be nearly impossible to maintain balance and the board would soon shoot out from under our feet ten feet into the air like a bullet.
The force of all those submerged air canisters has to be virtually irresistible, as "fool" suggested, it's a wonder the chains don't break or the drive shaft twist right off from the tremendous torque that likely develops.
What is the combined gear ratio of this thing anyway?
https://youtu.be/44UF_qCPrs4
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