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. 2023 Sep 3;25(9):1293. doi: 10.3390/e25091293
Roman Letters
a load parameter
CDES constant in the blending function for the DES model, CDES = 0.61
Cu the tangential component of absolute velocity [m/s]
∆Cu increment of the tangential component of absolute velocity [m/s]
Cz the axial component of absolute velocity [m/s]
e specific internal energy [m2/s2]
h specific enthalpy [m2/s2]
iopt optimal incidence angle [degree]
k turbulence kinetic energy [m2/s2]
ki volume force vector [N]
lFR length of the chamber line at the mid-span of the FR [m]
lRR length of the chamber line at the mid-span of the RR [m]
ni unit normal vector to a surface
Pji surface stress tensor without normal stress component [N/m2]
Pt,in averaged total pressure rise at the inlet [Pa]
Pt,ES total pressure rise of the entire stage [Pa]
Pt,FR total pressure rise of the FR [Pa]
Pt,RR total pressure rise of the RR [Pa]
Pt,out averaged total pressure rise at the outlet [Pa]
Pr Prandtl number
Prt turbulent Prandtl number
P1 passage 1
P2 passage 2
P3 passage 3
p pressure [Pa]
qi heat flux [W/m2]
r radius [m]
SPRO,C¯ entropy production rate by heat transfer with mean temperature gradients [W/(K·m3)]
SPRO,C entropy production rate by heat transfer with fluctuating temperature gradients [W/(K·m3)]
SPRO,D¯ entropy production rate by direct dissipation [W/(K·m3)]
SPRO,D entropy production rate by turbulent dissipation [W/(K·m3)]
s entropy [J/K]
T temperature [K]
t time [s]
ti surface force vector [N]
ui velocity vector [m/s]
u¯i steady component of velocity vector [m/s]
ui fluctuation of velocity vector [m/s]
v specific volume [m3/kg]
W relative velocity [m/s]
x axial spacing parameter
xi displacement vector [m]
Greek Letters
β* constant in the k-ω model, β* = 0.09
δij Kronecker delta
grid spacing [m]
ηt total pressure efficiency of the CRF [%]
λ thermal conductivity [W/(m·K)]
μ dynamic viscosity [Pa·s]
μt eddy viscosity [Pa·s]
ρ density [kg/m3]
τji surface stress tensor [N/m2]
Φ viscous dissipation of mechanical energy [W/m3]
Φθ/T2 EPR by heat transfer [W/(K·m3)]
ω turbulence eddy frequency [1/s]