Rex;
It may be a B-29 that I'm thinking of, but somewhere I read about using the engine exhaust gasses for additional thrust. I think there was an "augmentor tube" involved that sucked in air to add to the thrust.
Regards, Neil Tucson, AZ
B-29s used exhaust to drive "Power Recovery Turbines" that recaptued power from the exhaust and delivered it (through a fluid coupler and a reduction geartrain) to the crankshaft, 700 HP worth at takeoff IIRC (so 700 of the roughly 3500 IIRC).
The closest I can think of an augmenter for round engine aircraft comes after the war with the DC-6 family (DC-6A, DC-6B, VC-118, C-118A, I don't recall all the designations) and some Convairs when equipped with the R-2800 Pratt and Whitney.
It (R2800) was equipped with an "ejector stack" exhaust system, on the aircraft in question.
On the DC-6s it fed into a cavity of the accessory section cowling (open on one side) that would appear to help with extraction of cooling air after it had done it's job.
In training early in my career of working on them, an instructor claimed that, on the Douglas, it was worth 400 HP in Equivalent Shaft Horsepower at cruise (cruising between 18,000 and 25,000 feet, with 25,000 feet being the highest ceiling I remember them being certified to).
Since there are some here that are questioning sources, I am a certified A&P, untill recently I was employed at an airline (for over a decade) that primarily flies DC-6 type aircraft (the models I mentioned in parens earlier).
In the group of people I worked with were alot of folks that worked on R-3350 powered aircraft that were still using the PRTs, it's an idea that won't leave me alone.
I know a Turbonique Drag axle would be illegal, I suspect that our frienly class chair wouldn't go for a power recovery turbine hooked to the diff either.
It would be interesting to try though, even if it was just for time.
Not nit pciking, I know manta22 mentioned he wasn't certain, so please don't take this as me "calling BS", 'cause I'm not.
He brought up a point I find interesting and I thought I would elaborate, with what I've learned over the years from both experience and what some call "book learnin".