Nomenclature
a |
sonic speed |
A |
cross-sectional flow area of a pipe |
B |
compatibility equations parameter for method of characteristics |
C |
compatibility equations parameter for method of characteristics |
Cd |
discharge coefficient |
cp |
specific heat, constant pressure |
cv |
specific heat, constant volume |
CV |
valve coefficient |
D |
diameter of a pipe |
e |
specific energy |
F |
Force |
f |
friction factor |
fT |
turbulent friction factor (used by Crane, 1988) |
fL |
laminar friction factor |
fTr |
transition friction factor |
F |
error value in mass balance |
g |
gravitational constant |
h |
internal convection coefficient |
h |
enthalpy, static |
ho |
enthalpy, stagnation |
H |
head |
J |
Jacobian matrix |
k |
thermal conductivity |
K |
loss factor |
L |
length of a pipe |
mass flow rate |
|
M |
Mach number |
n |
general constant |
N |
compressor synchronous speed (rpm) |
P |
pressure, static |
Po |
pressure, stagnation |
Pw |
wetted perimeter |
P |
power |
q |
heat rate to a pipe |
Q |
volumetric flow rate |
r |
radius |
r |
relaxation |
R, R’ |
resistance or gas constant |
Rc |
coefficient of rigidity |
Re |
Reynolds Number |
s |
fan speed |
s |
entropy |
t |
time |
T |
temperature, static |
To |
temperature, stagnation |
u |
internal energy |
v |
specific volume |
V |
volume |
V |
velocity |
w |
work |
x |
distance along pipe centerline |
z |
elevation |
Z |
compressibility factor |
α, μ, θ |
angle |
β |
diameter ratio |
β |
coefficient of volume expansion |
λ |
method of characteristics multiplier |
η |
efficiency |
ν |
kinematic viscosity |
ε |
roughness |
γ |
specific heat ratio |
ρ |
density |
τ |
shear stress |
ω |
rotational velocity |
μ |
dynamic viscosity |
Subscripts
i |
junction or pipe station at which solution is sought |
j |
junctions with pipes connecting to junction i |
R |
rated conditions for a compressor, usually BEP |
o |
stagnation |
|
infinity, far away, ambient |
new |
current time for computation |
old |
most recent time for computation |