Edge drive...
Um, if you put the impeller blades inside a ring, you could wrap a motor around the outside...
Snag is the middle of the blades don't move fast to be useful, so you gotta blank them off. May as well put the motor there, have something to attach axle to...
But, put vanes on outside of ring, wrap motor inside that, slide the vehicle inside *that*, you got possibilities.
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IIRC, propelling a MainBattleTank or other AFV is a grim trade-off. The US turbine powered Abrahms is considered an oddity, everyone else has gone for diesel. Um, probably perhaps a heavy-duty diesel can quaff anything from cooking oil upwards-- Albeit at reduced efficiency.
A snag with hover vehicles is they get better as they get bigger. Look at US' air-cushion amphibious landers, and the UK's *HUGE* SRN cross-Channel designs. The latter retired when Chunnel opened. I've crossed the Channel once by hovercraft, and it was a wild ride. Okay, the weather was *vile*, the regular ferries were delayed and the SRN cut across the infamous Goodwin Sands --We could see sand between the waves !!-- but a 50% bigger craft would have ridden smooth and level...
And even a hovercraft that big could only carry a couple of tanks...
A individual armoured 'Tank' of familiar size is too small for the air-cushion needed to support it, or to carry the engines to fill the air-cushion.
Hmm, for militarised hover-craft used in scouting and light attack role, look at opening to 'James Bond' movie, 'Die Another Day'.
An armoured hovercraft would need to be ten, twenty, fifty times bigger to carry significant armour, to bridge obstacles. It would sound like a Space Shuttle launch and would be a Very Big Juicy Target.
Also, for obstacle clearance, a hover-tank needs enough power-to-weight to *fly* over anything it can't bull through...
SciFi-style hover-tanks have fusion power and multiple lift-fan nacelles--- Or enough AntiGrav to lift a small starship...
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Please, keep looking: You gotta neat idea, you just need the right problem for it to solve...