Nomenclature
a |
wavespeed |
A |
cross-sectional flow area of a pipe |
BM |
compatibility equations parameter for method of characteristics |
BP |
compatibility equations parameter for method of characteristics |
CD |
discharge coefficient |
CM |
compatibility equations parameter for method of characteristics |
CP |
compatibility equations parameter for method of characteristics |
CV |
valve coefficient |
CHW |
Hazen-Williams factor |
D |
diameter of a pipe |
E |
modulus of elasticity |
e |
pipe wall thickness |
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 |
FB |
Dimensionless pump torque parameter (see Four Quadrant Model Overview) |
FH |
Dimensionless pump head parameter (see Four Quadrant Model Overview) |
g |
gravitational constant |
H |
head |
HGL |
hydraulic gradeline (piezometric head) |
I |
moment of inertia of pump and entrained liquid |
J |
Jacobian matrix |
K |
loss factor |
K |
constant for Power Law fluid |
KB |
liquid bulk modulus of elasticity |
Ksprinkler |
fire sprinkler loss factor |
L |
length of a pipe |
mass flow rate |
|
n |
general constant |
n |
constant for Power Law fluid |
N |
pump synchronous speed (rpm) |
P |
pressure, static |
Po |
pressure, stagnation |
Pw |
wetted perimeter |
P |
power |
Q |
volumetric flow rate |
r |
radius |
r |
relaxation |
R, R’ |
resistance or gas constant |
Rc |
coefficient of rigidity |
Re |
Reynolds Number |
s |
pump speed |
SB |
parameter as derived from conservation of mass |
SC |
parameter as derived from conservation of mass |
Sy |
yield stress |
t |
time |
T |
torque on pump |
v |
pump flow ratio to reference |
V |
velocity |
V |
volumex distance along pipe centerline |
z |
elevation |
α, μ, θ |
angle |
α |
pump speed ratio |
β |
diameter ratio |
β |
torque ratio |
λ |
method of characteristics multiplier |
η |
efficiency |
ν |
kinematic viscosity |
ε |
roughness |
ω |
pump speed |
ρ |
density |
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 pump, usually BEP |
o |
stagnation |
∞ |
infinity, far away, ambient |
new |
current time for computation |
old |
most recent time for computation |