Supersonic Flame

Doctor Blade

I need your opinion about the next problem:

There is a fuel injector that feeds a coaxial free downstream of air, in the stream direction. I'm going to use Euler equations (without viscous terms and heat conduction, but with reactive terms) in addition to species conservation (without diffusion terms). Both streams, fuel and air, flows supersonically. When they meet at the injector outflow, I hope that reaction will take place. I'm want to use MacCormack's.

But, what am I going to see?. Would it be possible that a diffusion flame (although it does not really exists) was formed?. Any suggestions?

Thanks in advance