Impact of fuel supply impedance and fuel staging on gas turbine ...

Nomenclature
s t turbulent flame speed [m/s]
S c reaction source term [kg/m 2 -s]
S sr Scattering matrix [-]
Sc c,t turbulent Schmidt number [-]
t time [s]
t n sampling instant [s]
T temperature [K]
T f g Transfer matrix described by f <strong>and</strong> g [-]
T per oscillation period [s]
T c cycle time [s]
△t sampling interval [s]
T t simulation time [s]
u velocity [m/s]
u velocity vector [m/s]
u absolute velocity [m/s]
u i velocity component i or vector u [m/s]
V volume [m 3 ]
x input signal [-]
X axial distance from point <strong>of</strong> <strong>fuel</strong> injection [m]
y output signal (response) [-]
ŷ predictor [-]
Y radial distance from point <strong>of</strong> <strong>fuel</strong> injection [m]
Y mass fraction [-]
Z acoustic <strong>impedance</strong> [-]
Z M mixture fraction [-]
Greek letters
α [-]
ǫ prediction error [-]
ǫ t turbulent dissipation [m 2 /s 3 ]
γ ratio <strong>of</strong> specific heats [-]
Γ auto-correlation matrix [-]
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