turbulent mixing controlled reaction vs. chemical kinetics controlled reaction

Hyeryung NA

In general, turbulent-mixing(or diffusion) controlled reaction mechanism is treated as 'more important' in the high temperature reactor including combustor. So, sometimes, chemical kinetics controlled reaction mechanism(Arrhenius type reaction mechanism) can be neglected. And mixture fraction approach with prescribed chmistry, or similar concept, can be used to predict the flow field with combustion.

Would you let me know, or introduce reference(s) for the guideline of high temperature range where chemically controlled reaction mechanism can be generally neglected ? I am only interested in the gaseous combustion for this question.

Sincerely