Why didn't German army vehicles use aeroplane-derived engines?
Well they did TRY to....Panzer VIII Maus.
However broadly I cant imagine a worse tank engine than an aero engine.
1) Aero engines are hideously expensive because they have to be very high output AND very low weight and very small size. At least 1 and probably 2 of those
dont matter for a tank.
2) Aero engine systems are designed to work at high altitudes, in a tank this gadgetry is rendered moot.
(you can just take the supercharger off, but thats all design work).
3) Aero engines need high grade fuel, very limited supply and hard to transport because the sources are few, and immobile.
(you can just detune them, but then you lose much of the high power density advantage)
4) Aero engines are not designed to get abused, they dont like being idled for long periods, they dont like dirt and
they dont like getting overheated in cramped conditions.
All of these things can be "designed out", by which point its not really an aero engine anymore.
The only situation in which you ought to put one in a tank, is if you`ve been stupid enough not to design a proper
tank engine in the first place. I`d also say that any sensible tank engine ought to be diesel, which also counts out
just about any (western) aero engine other than a Jumo 205.