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Good stuff Tinman I like it, however I see your idea as phase two of the project. An integrated engine with both LPG and RPE complimenting..
Phase one would be to build two separate 2 stroke engines, one running on LPG and the other running on RPE. The cooling systems must be cross connected so the hot water from the LPG runs around the RPE engine, and the RPE (cold engine) coolant system runs around the the LPE (hot) engine. In a single engine the coolant fluid channels are connected and you will lose your heat energy potential difference.
The other concern I have with your idea Tinman is that it may be hard to initially balance the energy going into each cylinder causing shear forces on the crank under load as it hunts, potentially leading to critical failure. It is doable, however I feel it will be better as a custom designed engine so you can separate the micro channels and have two thermal systems in the same engine block.
So in summary split the LPE hot water into two streams, one that goes round the RPE warming it up, and the other that directly heats the RPE exhaust gas before compressor condenser to maximise heat energy transferred to the refrigerant gas and thus maximising the reduction in compression costs back to liquid.
Probably best run as a hybrid engine. The LPE providing drive as normal, and the RPE charging a KERS type flywheel system and running an alternator. So when you run out of fuel (LPE which will deplete), you can still drive on stored electrical energy and electric drive motors to the LPG refuel station.
As an add on Mike, the RPE is the heatsink engine, and the thermal input providing high delta T is the LPE hot engine. The potential difference could well be in the 80 - 90 Centigrade range.. plenty!
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