It's possible to calculate an adiabatic flame temperature with a specified mix of 'reagents' & specified flowrate. Write down the reaction for the combustion:
2 H2 + O2 --> 2 H2O for instance
Then find the change in enthalpy. That's how much heat you're generating (actually, it will be heat/time since you deal with flow rates of fuel/oxidizer/inerts). Since you know the temp that the reactants are when you start, you can look up heat capacities & calculate what temperature the products should be when they leave. This will give a theoretical upper-bound on the flame temperature of a given mix of gasses.
/or just use a thermocouple ;-)