Rethinking the Engine ... Plan B

The reason I wanted to build a Type A engine in the first place, was to utilize the pistons to pump gas through heat exchangers on the way out of the regenerator. I reckoned that the regenerator would need to be stationary to do so. I think there is a better way.
I have a new design for a four beam type B engine that will meet my design concepts, is mechanically simpler than the type A and produces more power per volume of the, now, single piston. The model will be build around an 11 inch diameter piston made from a paint bucket and will have an adjustable stroke of up to 1.5 inches (145 cubic inches). The gas inside the piston will be at the hot working temperature and will flow into the piston through a stationary heat exchanger. There will be a small pump at the bottom of the regenerator/displacer vessel, operated by the displacer movement, that pumps air though the cold heat exchanger.
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