VincentG wrote: ↑Fri Oct 18, 2024 10:12 am
The important thing is that the man has traded force for distance. By taking a longer path, the weight was raised without additional perceived force. No different than any other form of mechanical advantage, except that perhaps this example can be extended to thermodynamic work by allowing less force (lower delta T) to do more work.
In this way the lower temperature delta can be used like a lever to increase its effective force. Just like a prybar, the object being acted on must be as rigid as possible to make use of the mechanical advantage. For a gas, this means increasing its density and pressure as much as possible so that a small temperature increase results in a relatively large and useful effect.
As Matt has found, the smaller the delta T, the more efficient a cold connected piston becomes. That combined with much better thermal performance of low temperature materials makes a strong case for LTD engines. The problem of low overall efficiency is that LTD engines are essentially prying against a piece of foam (1bar). A turning point should arise when the low temperature delta is compelled to pry against pressure and energy levels that are "rigid" enough to affect practical work output. The increased pressure levels are allowing us to tap into the baseline internal energy levels of the gas. The same energy that would be contained in the rope but not available to us.
Phillips was obviously attempting this with megabar charge pressures, but maybe just took a wrong turn trying to hammer in more, and more heat instead of focusing on effective temperature delta.
Tom, I think a lot of what you are saying ties into what I was trying to say here. There's a few problems that Matt's latest graphic illustrates well. The cold volume may increase somewhat in pressure when only a partial volume is heated, but it is an overall net negative. The smaller the cold volume, the greater the pressure swing. So the way I see it is that a cold volume can be tolerated, but should be as small as possible.
Luckily the power piston compresses the gas from a large space to a small space, and combined with high enough pressures in this cold space, the partial heating can be much more effective but still not as good as complete heating.
Let's introduce another fictional planet where another engine builder, named Ralph, has just completed his new engine. Ralph's planet is much larger than earth and so has an atmosphere of 100bars, but Ralph and his workload are the same size as us earthlings.
Ralph builds an atmospheric engine like the one in Andrew Halls video. It too needs no flywheel, as it has no effective "compression". The difference is that it makes 100 times more power.
If Ralph shipped his engine back to Tom, here on earth, Tom would witness the engine explode from the internal pressure that Ralph witnessed "contracting" back on his planet.
I'd love to comment on forces of attraction and repulsion of gas molecules, but won't, until I can observe them directly. I can however say I don't doubt for a second that gas could briefly contract more than PV=nRT allows when rapidly cooled at constant volume.