Re: Carnot reveal for Tom
Posted: Thu Jun 29, 2023 11:13 am
Tom keep in mind that Matt is suggesting the use of valves, so we can effectively focus on distinct events like any good cycle should have.
All types and size Stirling Engines
https://stirlingengineforum.boydhouse.com/
https://stirlingengineforum.boydhouse.com/viewtopic.php?t=5547
I don't see any previous mention of valves on this thread, just Stirling cycle, alpha, gamma and "voodoo", and the illustrations presented do not show valves, just a "Regen". Presumably indicating a regenerator.
Mostly true, refrigeration is at the expense of shaft power, nevertheless, the implication is; a "self cooling" hot air engine could, over time, incrementally increase its own ∆T, eventually cooling itself down to the point where ambient heat itself could serve as a significant power source. It raises the question; could a pre-cooled heat engine operate on the surrounding ambient heat while maintaining its own "cold hole"? keeping itself refrigerated.VincentG wrote: ↑Fri Jun 30, 2023 8:31 am Yes I was referring to his thread on VooDoo cycle where he mentioned valves.
What Matt has shown us is that a cycle can self cool, but at the expense of available power output. Anything else would be creating energy from nothing. The refrigeration effect is real but at the expense of shaft power.
Good catch, Vincent !!! I screwed up here due to hasty editing (timeout here and edit potential is so limited). The correct spiel is (1) pressure is linear absolute temperature, but (2) the molecule speed varies by RMS function and if you sketch this out on paper you'll be left pondering how does the pressure vary linear temperature when the gas speed does not. This apparent dichotomy is what Boltzmann tackled and contributed to his suicide. So, I have no problem buying into pressure linear temperature (aka gas 'force' is linear temperature) and I'll ignore the statistical mechanics that rationalizes this apparent impossibility.VincentG wrote: ↑Wed Jun 28, 2023 10:04 amI don't have any problem buying into the idea that heat applied to gas increases molecular speed linear absolute temperature.
Interesting that molecule speed and pressure increases linearly with temperature, while kinetic energy goes up exponentially with the velocity of a mass.
Perhaps basic thermo does not explain the difference in available energy of a hot and cold gas at the same pressure.
It's a work in progress. I'm new to betas & gammas at this level, but think that expansion from the 'cold side' of the cycle changes a lot of stuff.Tom Booth wrote: ↑Thu Jun 29, 2023 10:37 pm
Anyway, perhaps Matt would like to clarify that here, I haven't really been following the other threads.
The main point I was bringing up with this, or trying to, is not that Matt is "wrong" but that I think maybe he's not going far enough, as not only is external cooling not necessary as presented by his idealized calculations, but if he were to also factor in the expansion work, he may find mathematical evidence for my observed refrigeration effect.
At any rate, I don't see how any air could be drawn into the upper cylinder from 2 to 3 through a closed valve, so if valves were involved, the valve must be open or where do the moles of gas come from to fill the cylinder? You can't draw gas into a cylinder at 3 Bar through a closed valve. Also the hot cylinder pressure drops from 6 to 3 Bar, which indicates where the gas came from.
I still would say you cannot get an expansion (with pressure drop from 6 down to 3 Bar) without a corresponding drop in temperature, except in an idealized "isothermal" process, In reality there would be an additional drop in temperature.
I like Vincent's wording, since it offers a simple explanation that heat and work cross cancel during some part of voodoo cycle. I sent this graphic to Urieli and Herzog for review, but haven't heard anything (both long retired). I'll try another guy this weekend (a physicist) but he's also getting along in years.Tom Booth wrote: ↑Fri Jun 30, 2023 11:37 amMostly true, refrigeration is at the expense of shaft power, nevertheless, the implication is; a "self cooling" hot air engine could, over time, incrementally increase its own ∆T, eventually cooling itself down to the point where ambient heat itself could serve as a significant power source. It raises the question; could a pre-cooled heat engine operate on the surrounding ambient heat while maintaining its own "cold hole"? keeping itself refrigerated.VincentG wrote: ↑Fri Jun 30, 2023 8:31 am Yes I was referring to his thread on VooDoo cycle where he mentioned valves.
What Matt has shown us is that a cycle can self cool, but at the expense of available power output. Anything else would be creating energy from nothing. The refrigeration effect is real but at the expense of shaft power.
If the heat does not actually need to pass through to the cold side, then a well insulated cold hole should be relatively easy to maintain as the ambient heat would not actually be flowing to the cold side to warm it up. If heat does not need to be removed then the refrigeration required can be intermittent, while power output is continuous.
Xlnt wording, Tom, and exactly the type of stuff I was pondering for a few hours a night. Your last line is the most interesting, since it begs the question whether the atmospheric or buffer pressure (when equal internal pressure) supplies heat from work during isobaric regen, whereby the cold space would need to dissipate this 'extra' heat. If so, then voodoo cycle also requires 'isothermal' cooling, just different from similar gamma.Tom Booth wrote: ↑Fri Jun 30, 2023 1:13 pm Well, thinking about it a bit more, the statement "refrigeration is at the expense of shaft power" is not entirely true either.
If the gas is heated and expands and work goes out as shaft power, resulting in a refrigerating effect (conversion of heat into work) the "refrigerating" effect is at least in part, the result of, or assisted by such conversion.
In other words the work out (shaft power) uses up the heat/energy as a form of "fuel" which when spent leaves "cold".
Some expansion/cooling results from work against atmospheric or buffer pressure which acts as an air spring, returning at least some of that heat/energy in the next compression phase of the cycle.
If I understand what you mean about "atmospheric or buffer pressure supplies heat...the cold space would need to dissipate..."matt brown wrote: ↑Fri Jun 30, 2023 7:23 pmXlnt wording, Tom, and exactly the type of stuff I was pondering for a few hours a night. Your last line is the most interesting, since it begs the question whether the atmospheric or buffer pressure (when equal internal pressure) supplies heat from work during isobaric regen, whereby the cold space would need to dissipate this 'extra' heat. If so, then voodoo cycle also requires 'isothermal' cooling, just different from similar gamma.Tom Booth wrote: ↑Fri Jun 30, 2023 1:13 pm Well, thinking about it a bit more, the statement "refrigeration is at the expense of shaft power" is not entirely true either.
If the gas is heated and expands and work goes out as shaft power, resulting in a refrigerating effect (conversion of heat into work) the "refrigerating" effect is at least in part, the result of, or assisted by such conversion.
In other words the work out (shaft power) uses up the heat/energy as a form of "fuel" which when spent leaves "cold".
Some expansion/cooling results from work against atmospheric or buffer pressure which acts as an air spring, returning at least some of that heat/energy in the next compression phase of the cycle.
https://en.m.wikipedia.org/wiki/R%C3%BC ... experimentA typical experiment,[4] consists of a glass tube of volume V, and of cross-section A, which is open on one of its end. A ball (or sometimes a piston) of mass m with the same cross-section, creating an air-tight seal, is allowed to fall under gravity g. The entrapped gas is first compressed by the weight of the piston, which leads to an increase in temperature. In the course of the piston falling, a gas cushion is created, and the piston bounces. Harmonic oscillation occurs, which slowly damps. The result is a rapid sequence of expansion and compression of the gas.
Your pogo stick example is typical bounce gas effect where work=heat and heat=work. I revised the 2nd half of voodoo graphic with a 3.5 'tween' between stg 3 and initial stage 1.Tom Booth wrote: ↑Fri Jun 30, 2023 8:14 pm
If I understand what you mean about "atmospheric or buffer pressure supplies heat...the cold space would need to dissipate..."
I don't believe so.
Using an illustration; a child bouncing on a pogo stick. The child puts energy into the bounce that lifts the child and the contraption into the air against gravity, akin to the piston working against atmospheric pressure on expansion of the working fluid.
Gravity returns the pogo stick and child so that they accelerate towards the ground akin to the compression phase of the Stirling cycle - the piston accelerating inward. The energy contributed by gravity goes into the next bounce on the pogo stick. Likewise the "heat" contributed by atmospheric pressure goes into the next "bounce" of the piston as it runs into the air spring of compressed hot gas.
I think this sums up voodoo cycle perfectly where isobaric regen during 'cooling' exceeds isochoric regen during heating, so this difference reduces source input.
Is that correct?the lower 2 pistons represent a displacer