All right, I finally decided to use UFLOW1D to work out a 32-inch long version of the Lock Reynst Monster(TM), presented only in basic schematic form before. This should be acoustically nearly identical to a traditional Lockwood, with volume ratios off only a little. It also turns out that a cylindrical intake should be perfectly acceptable with the tail cone inside, to provide for the characteristic Lockwood "reverse" cone intake. The size of the intake flare is just a guess, since the consensus is that UFLOW doesn't tell us much about that, anyway.
The engine was designed as a miniaturized straight Lockwood with slightly lengthened chamber, then broken at mid-chamber and folded back, and then the intake was stretched slightly to meet the L/3 point at the flare (with a small assumed end correction applied). Finally, the chamber was widened a little to get what I thought was a reasonable volume. This should either run or come really close to running. It is acoustically really good in UFLOW. The one effect that is not accounted for is that all the intake air will be pre-heated and some of the tailpipe air will be air-cooled by the intake. This could mean that the intake will need to be lengthened a little, so it wouldn't hurt to prototype it with a sliding shell, as mentioned earlier in another thread.
It is critical that the front end of the tailpipe cone be lined up with the front end of the intake tube as shown in the detail. Support for the tail cone is via four sheet webs, also shown (dimensions not critical). Each of the four intake ducts thus created should have a separate fuel pipe, which can be manifolded together well aft of the flare. Each pipe should be well centered in its duct segment; the exact depth of the fuel spout must be determined by experiment, but should end up being somewhere around the 3/4 point of the intake duct, as shown approximately in the detail.
Also shown in the detail: a slight flare can be applied to the front end of the tailpipe cone to try to get the balance of intake to tailpipe outflows closer to the traditional Lockwood pattern. It applies a slight pinch to the intake inflow, however, and should not be more than the small amount shown, 1 mm all around.
I would not expect a lot of power from this engine, because of the relatively small area at the front end of the tailpipe cone. Of course, like any other Lockwood, a lot of the thrust will be from the intake.
L Cottrill

