Indubitably wrote:I appreciate that you're taking the time to explain where I'm going wrong, because that's how my ideas improve, but there is obviously some sort of disconnect, because all I'm seeing here is a reiteration of the basic reasoning behind my argument, only with a contradicting conclusion.
What I'm saying is that I actually want compression, because it should give me a a kind of infinitely variable transmission effect, and what your argument appears to imply is that compression, in and of itself, has some sort of immutable energy negating effect that would annihilate some large portion of the energy in the system even if I actually could isolate it perfectly from the environment. Perhaps there is something I'm missing in your comments about heat transfer within the system? As I understand it, this isn't really and issue, because while the pump must work harder (or rather, longer, since my plan is to move a coninuously smaller volume of air as the differential increases) and consume more power as the differential increases, it similarly requires less power as more heat migrates from the the hot side to expand gas on the cold side. I suppose I could see how for any one momentary snapshot of the system that power might seem to just sort of disappear, but hysteresis should correct for this in the long run.
The idea is rather like using a giant rubber band as a belt in a belt drive, only the belt has some sort of pinching system that forces it to contract only in one direction, so that any energy stored in stretching it must eventually contribute to forward motion of the system somewhere. At the moment when the belt is stretched it is longer but has not contributed to forward motion, so energy appears to be lost, but in fact merely hides itself in tension. What you seem to be saying is that the belt will contract without ever releasing the tension, yet the tension will be gone none the less, as would be the case with the closed check valve pressure system that never lost heat but still lost energy without doing work. If I think of the belt as just getting longer and longer without ever contracting if left in a stretched state for too long, but periodically snipping off the excess as I go, I can get something like the compression system loosing heat to the environment, but presumably the belt is reinforced with insulation that increases the amount of time it can be stretched so that I will see only negligible permanent stretching.
What specifically am I missing here? I mean, I'm really not trying to bust your balls, but if there is some fundamental flaw in my reasoning, I need to know where it is, so I can correct my understanding. You don't seem to be saying that it is simply impossible to effectively insulate the system, yet your argument does seem to assume that heat has left the system through something other than kinetic energy transferred to the wheel, and I'm just not seeing where it went.
Jeremy Harris wrote:BTW, the rubber band analogy is a good one, as rubber bands get hot as they are stretched, this heat gets lost and therefore they always return less energy when allowed to relax than it took to stretch them.
...heat migrates from the the hot side to expand gas on the cold side.
With shop air, turbine drove the loaded system at a maximum 929 RPM and produced 21 W. The theoretical power of shop air delivered was 350 W, so the efficiency of the system is 6%.
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