Nobody wrote: ↑Sun Nov 28, 2021 1:23 am
I'm not even sure that you will be able to pull enough vacuum to get any cooling while completely unloaded. This is the error.
First of all:
- Stirling_engine-cooler_by_Tom_Booth_CC (1).jpg (24.02 KiB) Viewed 4004 times
Perhaps the orange text is not easy for some to see, but as I've said before, any running engine is doing some work, friction, air resistance, vibration, noise. Further, the diagram reads in frame #5 "Shaft work to load" with an arrow pointing out in line with the crank, there is a flywheel.
So to say frame five is in error because the engine is "completely unloaded", doesn't appear to have any basis in fact.
If you extract energy from the piston, the expansion will be less
The piston is an insert mass. Though in theory, if the piston has weight, or if there is a flywheel, some energy from the momentum may help to "pull a vacuum", but that isn't essential, and not what the diagram is intended to illustrate.
Heat enters the engine, passing into the gas, accelerating the gas molecules. The expanding gas is the only significant working fluid doing work to drive the piston, and by extension any attached load. The piston is not expanding to do work. Any "work" it might contribute to the process originated with the expanding gas that set it in motion.
You are also failing to understand that the expansion is adiabatic, not isothermal. Isothermal expansion is a fictional attribute of the imaginary Carnot engine requiring infinite time to carry out an "ideal" process that does not exist in a real engine in the real world.
You also have again, in spite of your revision, excluded or sidestepped inclusion of any actual factoring in the conversion of heat into work. "Work" is; first; the mechanical motion of the engine. If the engine moves at all there is already conversion of heat into work. The expanding and contracting gas is already "loaded" doing thermodynamic "work" to make the piston move and the engine itself operate.
Further, you neglect to consider not just the heat energy added to the gas, but the potential energy due to compression on the one hand and expansive cooling ADIABTICALLY on the other.
Adiabatic expansion and cooling, that is, rapid expansion without heat input, (because the engine is running fast and there is not enough time for heat transfer into the gas) forces the gas to draw on its own internal energy.
The more the gas is compressed, the more it will draw on internal energy while expanding (rather than external heat input from the environment).
In practice, the gas has much more internal energy than the heat supplied to it. The gas is capable of expansion to the point where it looses so much energy and gets so cold it changes state and condenses into a liquid.
Any incremental cooling of the engines cold heat exchanger by such adiabatic cooling of the "sink" or cold plate, increases the potential for the engine to do more work, that is, it increases the temperature differential.
The effects you mention, -. "... If you extract energy from the piston, the expansion will be less, shorter. The compression stroke will be shorter. If you attempt to get more expansion, there will be less mv^2 to harvest for power out." ..."Getting work out (Adding load) will slow the piston. ...Pulling a vacuum will slow the piston....
Getting work out (Adding load) will slow the piston.
Pushing compression will slow the piston."
It should be considered too that needlessly dumping heat to a "sink", just to cool the engines cold side rob's the engine of it's ultimate energy source and... Slows the piston.
Cooling the sink by internal adiabatic cooling has several not so obvious potential advantages.
External cooling can only be carried out to whatever "cold reservoir" might be available, or the cold needs to be supplied by ice or refrigeration.
Adiabatic cooling is not so limited. The cooling can, in theory, continue down to cryogenic temperatures without external energy input that needs to be supplied.
The greater the temperature swing, the more energy can be supplied to the engine by atmospheric pressure on the return compression stroke.
The diagram is to help illustrate a theory.
The theory itself may be "wrong", but if the diagram were in some way "corrected" to conform to some other "right" idea, it would not serve the purpose for which it was intended, which is, to help to convey a new theory, or perhaps a not so new theory. Rather an alternative theory, that can actually be traced back more than 100 years, including the entire history of refrigeration, gas liquefaction processes, in particular "air cycle" refrigeration and the Claude cycle engine.
It can also be seen in Tesla's article:
This apparatus, by continually transforming heat into mechanical work, tended to become colder and
colder,... This seemed to be contrary to the statements of Carnot and Lord Kelvin before referred to, but I concluded from the theory of the process that such a result could be attained. This conclusion I reached, I think, in the latter part of 1883, when I was in Paris
Of course, Tesla may have been wrong, however his heat engine theories, to my knowledge, have never been tested experimentally. So far, IMO, my various experiments with modern model LTD and other model Stirling engines have failed in proving the theory (outlined in Tesla's article and my own diagrammatic interpretation) conclusively wrong.
Cryogenic air-cycle refrigeration and Claude process liquefaction involve compressing a gas to a high pressure and then releasing it to power an engine.
Obviously a model Stirling does not achieve such a high compression ratio but the principle of operation, the engine cycle of a Stirling engine is identical to a cryogenic expansion engine.
Actually, a Stirling engine, as a mechanical apparatus, IS also a potential cryogenic refrigerator or air liquefier, without modification. As discussed on another thread here, even a very crude "tin can" Stirling engine when driven, can also exhibit a below ambient cooling effect.
The diagram may be "wrong" in your opinion, but it serves it's intended purpose.