Hi Chad
Could you please explain why you "need" a vortex to obtain combustion , it appears to be a waste of internal energy to me .
What you currently have have is an afterburning "gas turbine" , your "compressor wheels "( fans) are being driven by "turbines" ( electric motors) , with the products being "burned" in a tube to increase temperature ,(with no increase in TOTAL pressure) for a velocity increase over "cold" operations due to the improved thermodynamics from the increased temperature , a bog standard turbine scenario.
That being said , you need the most efficient "afterburner" design to maximise your thrust output , and a vortex doesn't appear to satisfy that requirement .
I'd strongly suggest a different approach based on "standard" aero gas turbine afterburner design if you wish to maximise your output
The fact that you are using pressurised gas as fuel with its own energy for the intimate mxing of it and the air , negates to a large extent the need to provide mixing by making the air "move about" ( vortex) with its attendant losses.
You're already running a very limited total energy in the air supply , any losses will soon degrade it to the point where the engine won't work , you need to supply the air to the combustor in the most energy efficient manner possible to maintain its total pressure because its that total pressure which makes thrust , not the heating of the air ........
no excess total pressure ........no thrust, no matter how hot the flames are
Cheers
John