| 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] |
|
|
entropy production rate by heat transfer with mean temperature gradients [W/(K·m3)] |
|
|
entropy production rate by heat transfer with fluctuating temperature gradients [W/(K·m3)] |
|
|
entropy production rate by direct dissipation [W/(K·m3)] |
|
|
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] |
|
|
steady component of velocity vector [m/s] |
|
|
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] |
|
|
EPR by heat transfer [W/(K·m3)] |
|
ω
|
turbulence eddy frequency [1/s] |