On the He-178 and HeS-3:
"A second engine was completed just after completion of the He 178 airframe, so it was decided to move directly to full flight tests. A short hop was made on 24 August during high-speed taxi tests, followed by full flight on 27 August, the first aircraft to fly solely under jet power. Testing continued and in November the aircraft was demonstrated to RLM officials in hopes of receiving funding for the development of a larger engine, but nothing seemed forthcoming.
Hans Mauch later told von Ohain the RLM was in fact extremely impressed, but he was concerned that Heinkel's airframe team did not have the knowledge to undertake engine development. Instead he and Helmut Schelp secretly visited a number of aircraft engine manufacturers to try to start programs there. Mauch left his position in 1939 leaving Schelp in command. Schelp was not as concerned about where development was taking place, and immediately started funding Heinkel to produce a more powerful engine.
Work on a larger version, the HeS 6, started immediately, and was tested under a Heinkel He 111 late in 1939. While successful, notably in terms of vastly improved fuel economy, the weight was considered excessive and the design was abandoned in favour of the more advanced Heinkel HeS 8."
Also a neat thing about the HeS-8 (001) is that it not only used a radial compressor but also a radial turbine which would be more durrable than its axial counterpart, and less efected by high temp damage due to flow properties of this design, an since its compressor was radial the extra diameter of a radial turbine would not be detrimental to size. I have only seen this configuration on generator turbines an nowhere else in engines, which makes considerable contrast to whittl's engines which used high-temp axial turbines.
There were many adaptations to the HeS-8 engine including adding an axial compressor behind the radial one and even a turbofan arrangement: quote "Several modifications of the basic HeS 8 design were also explored over the project's lifetime. The HeS 9 appears to be a modification adding a second axial compressor stage, and replacing the full centrifugal stage with a new "diagonal compressor" that Schelp favoured. Little is known about this design other than the fact that RLM ordered ten of them, and none were built. It appears it was this layout that was used to develop the 011. Another modification, the HeS 10, placed a complete HeS 8 engine inside a larger nacelle, and expanded the intake impellor to be larger than the engine. The HeS 10 appears to be the first example of what would today be called a turbofan engine. In order to extract more power from the exhaust to drive the fan, an additional single axial-stage turbine was added behind the HeS 8's existing centrifugal one. The only real difference between the HeS 10 and a modern turbofan engine was that the fan was not powered independently of the core, although given the separate axial turbine stage, this would not have been difficult to arrange."
But they never tried multi-stage radial compession, though this is probably due to Ohain turning in favor of the axial compressor (though , not his design he favored the HeS-30 over his HeS-8 ), but he did like the diagonal compressor which make a good comlement to aditional axial stages like in the HeS-011.
Personally I think the HeS-8 should have been dropped for the HeS-9 rather than the 011 (which was basicly a scaled-up version) this design probably would have progressed faster and might have been useful before the war's end. (it might have even outclassed the HeS-30, though it would have entered production later)
The only multistage centrifugal compressor in a turbojet engine is in the Russian RDT-1/VDR-2 from 1943 designed by Lyul'ka see:
EnginesUSSR
The plane the engine was soposed to be used in was also quite interesting:
Gu-VRD It migh have entered combat had it's engine not been canceled to work on more advanced designs (just like Heinkel's engines were)
Also I've seen a line drawing of the early version of Meshersmit's prototype the P1065 (a precurser to the 262) and it had tapered wings symilar to the P-80. overall they were the same wings as those wich were used in the final version of the 262 except they were bent foreward (actually they were normal, as the prodiction model had the wings bent back, mostly for trim reasons) if the wings were simply pivoted back and not fundamentally altered this would explain why ther is no trailing-edge sweep.
see:
Translated version of http://www.afwing.com/intro/me262/new/1.htm
THough I like the 280, the 262 is simply a better airframe, with its small, thin wings and a fusalage that was sleek, but wide enough to allow a good fuel load and it had excelent high-speed manuverabillity. The 262 with mid-mounted engines would have been awsome, if slightly less practical, and though the engines used turned out to bee too large for this, the HeS-30 (006) engine would have been perfect, and would have allowed the craft to reach its full potential! Of course the 004 could serve as an intrim measure as it was ready earlier.