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I guess it's cheating to use pulverized coal in a burner to heat a boiler then use the steam to drive a turbine. Mind you, it might be cheating, but it's very effective.http://en.wikipedia.org/wiki/Pulverised_fuel_firing
A Pulsed Detonation Engine could use a fine enough solid for combustion, but PDE's are still in the experimental stage...
Tell you what; why not convert the coal into a combustible gas like, em er, carbon monoxide, then stick it into a gas turbine. Yes, yes! I'm pretty sure that will work (queue sound of feet running towards patent office).
When we and the Germans were scrapping 70 years ago they used to send over small aircraft loaded with explosives driven by a pulse jet engine, I dont know if it was petrol or powered coal as engine life was not an important consideration.
Trouble is you've already thrown away part of the chemical energy by oxidising to CO.