Science, IMHO, does not consist of making up some preposterous theory out of whole cloth, then promulgating the same, as universal law, insisting it is absolute truth and it is up to others to prove it wrong.
Yet, that is the historic progression of the alleged "Carnot Limit".
Not based on any observation. Not based on experiment, devoid of any common sense. Without any theoretical justification, no coherent mathematical proof, nothing whatsoever, but Carnot's fanciful idea that heat, like water, flowed through an engine. That a "fall" in temperature is exactly the same as a fall of water that powers a water wheel, so that engine efficiency is determined by, and ONLY by the "height of the fall", or the ∆T.
The proposition is a trap, because the temperature difference is declared to be the ONLY determinant of efficiency. Therefore by that definition of efficiency, this imagined Carnot efficiency limit can not be exceeded, because the temperature difference will always be the temperature difference, irregardless of the engines actual heat utilization or mechanical efficiency.
It is like saying "Alphax, your height can never exceed the six times the length of your foot. Infact the height of no human being can ever exceed six times the length of their foot."
So, as people are paraded through the door, their feet are measured, and by that measure their maximum height is supposedly established, with no actual measurement of height being performed.
Well, here is John Smith, he has small feet, only 10 inches long, but he's 6'3"
If "the law" that has been established is that John Smith can be no more than 60 inches tall if his feet are only ten inches, how do we establish his actual height?
Well the "LAW" says, height is determined by the length of the foot, so we measure his foot.
Sure enough, his foot is ten inches, therefore John Smith can be no more than 60 inches. John Smith cannot be more than 5 foot tall.
You cannot disprove Carnot efficiency on its own terms.
If you calculate the alleged "Carnot efficiency" of any engine, it can never exceed "Carnot efficiency" as the only measure of Carnot efficiency is the temperature difference, which is not any actual measure of actual efficiency. The temperature difference is just the temperature difference
Well, the issue of John's height can be solved by just measuring John's actual height. His feet are only 10" but his height is 6'3".
Advocates of the "established science" however, simply refuse to take an actual measurement. Refuse to extend a ruler from the floor to the top of John's head. "That's not how it's done, you don't understand science, height can never exceed 6 times foot length"
I find no experiment was ever performed establishing this Carnot limit.
So I do a few common sense experiments. Put some heat to a Stirling engine and do some actual measurements.
I find my engine can run for hours on scalding hot water and the temperature of the "sink" does not rise, but remains cool at room temperature.
"That doesn't prove anything". I'm told. "It just shows that the heat sink is doing its job! You fool!"
Last time I heard, heat transfer requires an actual temperature difference. For heat to transfer from the cold side of the engine to the ambient surroundings, the temperature of the cold side would have to be higher than the ambient.
"That would violate Carnot!", "You must be doing something wrong", general confusion and hysteria.
OK, so do your own experiment then.
"the onus is on you... blah blah blah" "This discussion is closed" (discussion locked).
That's all I ever get, after putting my own time and money into buying a bunch of engines and carrying out a bunch of experiments on my own time at my own expense.
No Nobel Prize.
No wing of any university.
The experimental evidence, though clearly presented, is simply ignored.
I've provided "testable proof" or evidence in abundance. It is simply ignored, not only ignored but banned, no discussion allowed.
The "foot to height ratio limit" was never scientifically established. It is the same with the Carnot efficiency limit. It was never scientifically established. It continues to be perpetuated by ignoring all the John Smiths walking around.
Anyway, IMO there is no legitimate reason to suppose that Ted Warbrooke's Stirling 1 cannot be scaled up. I think it would be a good project and I will probably do just that, among other things, once I get my shop set up.
I could care less about "Carnot efficiency" beyond the observation that it has been used as a weapon to attack and discredit me and my research, repeatedly, for many years. Giving any attention to the subject at all has been necessitated as a matter of self defense, after repeated accusations of ignorance in regard to science and/or mathematics, lack of intelligence, education, etc. Or worse, deception or fraud, manufacturing evidence, being a perpetual motion crank etc.
People clobber me over the head with Carnot, then complain when I examine the subject rationally and objectively, using actual science. "Forget Carnot" .
Tom,
I'd just forget all about Carnot.
One point, though - nothing to do with Carnot - is that your statement:-
ALL the heat is converted, not "let out" to a sink but converted to mechanical motion.
..... is not true. All the heat is, sadly, NOT converted to work (mechanical motion). Basically work can be fully converted into heat, but unfortunately you cannot fully convert heat into work - there is a "direction" to the conversion resulting in loss and waste..
Looked at another way, you cannot build an engine that works on a cycle and produces no other effect but converting heat into work.
You suggest I forget all about Carnot, then quote me a version of the second law that originated with Carnot.
Obviously no experimental evidence to support the "Carnot limit" is available, or you, or some one of the thousands of others who've read my posts would simply put the evidence on the table, rather that inundating me with all this kind of hyperbolic, evasive, side stepping avoidance of the subject. "Science isn't about proof" excuse making
The supposed efficiency limit, in your words: "you cannot fully convert heat into work" is a house of cards without any foundation. It can be proven false with very simple, straightforward experiments. But adherents to the idea of such an efficiency limit simply refuse.