Assuming a Stirling engine to be a kind of oscillating "air spring", that is, adiabatic expansion and contraction, your analysis above and/or elsewhere seems to neglect the fact that as a gas expands and does work, temperature of the gas drops.Nobody wrote: ↑Tue Jul 11, 2023 6:21 pm If you lift a weight 800 miles and lower it back down the best 100% that you can hope for is zero zero work total in and or out. Your cycle energy acquired is zero. Work in rasing the weight, minus work out descending the weight will equal zero.
The exact same thing can be said about an adiabatic spring. Push it in and get it he same energy back out. Zero heat involve with either. Adiabatic pairs cancel each other and zero work or heat is obtained or used.
Both processes obey the laws of thermodynamics however neither is a process of heat. Heat works differently because it has to be converted to pressure and volume changes. Those pressure and volume changes are dependent on temperature. .(...)a temperature difference is needed, so there will be a pressure difference.
As I see it you get an adiabatic "bounce" at TDC which converts heat into velocity. Velocity is converted into work lowering the temperature so atmospheric pressure can take over and effect a reverse process.
As atmosphere drives the piston in, it too does work and the temperature of the atmospheric air drops in the cylinder above the piston and contracts, making the next adiabatic bounce at TDC considerably easier I imagine, so more energy can go out as work and less needed for pushing atmosphere out of the way.
What people are calling a "metronome" Stirling or metronome engine is interesting in that regard.
The metronome engine uses an extended tube, like a fluidine engine (but without liquid) I think maybe that makes it more difficult for atmosphere to move in and out of the cylinder augmenting this atmospheric."contraction" above the piston.
Imagine the atmospheric air above the piston acting like a hammer delivering blows to the piston at BDC doing work on the piston to smack it inward then withdrawing, like a hammer bouncing off a nail.
The heat input to the engine is working the other end in the same way.