Many modifications to the combustion process are being proposed and ev
aluated to lower NO(x) emissions from gas turbine engines in both stat
ionary and propulsion applications. A promising technique is staged co
mbustion, wherein the fuel is mixed into a fuel-rich region and the fi
nal air is injected downstream to an overall lean mixture. This articl
e examines the effect of dome design and operational changes on the mi
xing quality in the fuel-rich region. A statistical analysis is employ
ed to establish the parametric sensitivity in this complex flow. A mix
ing effectiveness index is defined and used to optimize the gas specie
s uniformity and the extent of reaction at the exit plane of the dome.
The results reveal that mixing effectiveness is intimately tied to th
e fuel and air injection locations, the macroscale structure of the do
me aerodynamics, and the level of turbulence. Increases in nozzle/air
to fuel ratio, reference velocities, and the dome expansion angle incr
eased the level of turbulence. The optimum configuration featured coun
terswirling fuel and airstreams and produced a strong torroidal recirc
ulation zone, an effective spray angle of 45 deg, and azimuthal veloci
ties that decayed to zero inside of two duct diameters. Due to the int
imate relationship between variables, the response of mixing to change
s in any single variable cannot be considered independently of the oth
er variables. The results underscore the system specific nature of mix
ing optimization.