Tom Booth wrote: ↑Sat Nov 16, 2024 7:01 pm
Matt, I think your depiction of the Stirling cycle is not accurate. At least not by traditional design standards.
You don't appear to include, or account for, in any way, the standard 90° advance which IMO changes the dynamics considerably.
Using distinct events exposes the most ideal PVT values per event. Typical 90deg phasing results in out-of-phase events that tax both output and efficiency (hence dwell buzz).
Tom Booth wrote: ↑Sat Nov 16, 2024 7:01 pm
Also, you don't appear to make adjustments for the temperature and pressure drop that results, or "theoretically" should result from work output during expansion (power stroke).
Take a close look at this graphic...
- A 300-450k.png (25.45 KiB) Viewed 578 times
You must of missed this cartoon (lol) where I divide 600cc DP volume into six 100cc volumes and sequence volumes thru the expansion process. This indicates that during expansion, DP gas expands during heating (note density m/100cc) but then compresses thru regen prior PP. Assuming ideal everything, the gas during regen will compress proportional to the temperature differential which here is 450k in and 300k out (Ian-Hall values). Thus, in this example, the 450k DP gas is compressed 1/3 by the time it leaves regen into 300k PP.
The conventional view is that this heat of regen during expansion plus the heat of regen after expansion (DP hot space to DP cold space) will equal the heat of regen within DP when all gas moves from DP cold space to DP hot space just prior input (ideally). This view is based on molar mass ("m") being equal on both sides of the cycle and leads to conventional conclusion of constant volume regen.
However, this graphic reveals that the gas expands after reaching the PP and it doesn't take a rocket scientist to grasp that DP and PP pressure will tend to equalize REGARDLESS OF TEMPERATURE. Now, assuming PP is constant 300k, when PP gas expands then it needs heat input to maintain 300k. My original idea was ambient backflow where the 300k "sink" becomes the 300k "source" and that a self induced cold hole of some type might be possible (nothing major, but enough to wake Carnot).
Returning to regen issues, I later concluded that "constant volume" regen buzz is total BS and that ALL regen is constant pressure. Once I assumed isobaric regen, I quickly concluded work loss during regen due to gas compression between DP and PP. Now I was forced to conclude that conventional regen was not merely a transfer of internal energy between Thigh and Tlow, but also would include the work of isobaric compression which could only be supplied by further DP input.
Returning to potential ambient input, after I concluded isobaric regen, I concluded that the work of isobaric compression during regen could pass thru regen and nix or supplement ambient input. Any drop in PP pressure during expansion could be restored via heat 'sneaking' thru regen (since DP and PP pressures are equal, both have the same expansion rate).
Tom Booth wrote: ↑Sat Nov 16, 2024 7:01 pm
So overall, for these reasons as well as actual observations and readings of running engines, I'm not so sure about "massive work loss when DP gas passes thru regen to PP" though admittedly, not too long ago I was thinking along the same lines.
Without valid regen this is a non issue, but without regen any "Stirling" cycle is worthless.
Note in graphic that Vincent's "zero point" is where PP density after expansion equals DP density prior expansion...