Re: Modified "Hot" Beta engine
Posted: Tue Jan 02, 2024 9:03 pm
Stephenz is correct
Tom has a valid point that displacer volume is not as 'dead' as we often think, but the typical convention remains of relating all none swept volumes as dead volumes.
The main reason alphas hover around 2:1 'compression' ratio is nothing more than common 90deg phasing. But one must exercise care when comparing volumes...
I don't think it's a good idea to compare alphas to gammas & betas, since the displacer drastically changes everything. However, assuming alphas hover around 2:1 compression ratio, here's what a gamma would require to match this...consider ideal gamma with no dead volume except 100cc displacer volume and 100cc power piston volume. Allow displacer dwell whereby 100cc displacer volume maybe be in 100cc hot space or 100cc cold space. After power piston expansion, the displacer moves all remaining hot gas to cold space. Now, the power piston compresses 100cc of gas to displacer cold space effecting 2:1 compression ratio. In this scenario, the displacer dwell allows the volume ratio to equal the compression ratio.
This shouldn't require math or geometry calcs to grasp, just the fact of total volume/swept volume. I often premise stuff with "everything else equal (always a dangerous premise)" since I'm unsure as to how many guys are on top of certain issues.
Tom has a valid point that displacer volume is not as 'dead' as we often think, but the typical convention remains of relating all none swept volumes as dead volumes.
The main reason alphas hover around 2:1 'compression' ratio is nothing more than common 90deg phasing. But one must exercise care when comparing volumes...
The first sentence is correct, but the second sentence is wrong...the 'volume ratio' is Vmax/Vmin whereas the compression ratio is more elusive (no worries here).
I don't think it's a good idea to compare alphas to gammas & betas, since the displacer drastically changes everything. However, assuming alphas hover around 2:1 compression ratio, here's what a gamma would require to match this...consider ideal gamma with no dead volume except 100cc displacer volume and 100cc power piston volume. Allow displacer dwell whereby 100cc displacer volume maybe be in 100cc hot space or 100cc cold space. After power piston expansion, the displacer moves all remaining hot gas to cold space. Now, the power piston compresses 100cc of gas to displacer cold space effecting 2:1 compression ratio. In this scenario, the displacer dwell allows the volume ratio to equal the compression ratio.
My biggest concern with gammas & betas is their larger regen requirement...I haven't been able to scheme a gamma with less than 1.35 the regen mass per similar alpha.stephenz wrote: ↑Tue Jan 02, 2024 1:57 pm
There is really no argument to have, Alpha's don't just win because of the greater swept volume. they win because they don't have the immense penalty of a displacer being technically a dead volume since its movement does not change pressure.
Lastly keep in mind that for any engine any of us can build, the ratio of swept volumes will always favor displacers over pistons. That Vd/Vp = 1.5 which you find online so often is one of rare rule of thumb that actually works for anyone wanting to build an engine with a heater temperature in the range of 300-500 C.