|
Variables:
|
|
|
A
|
Cross-sectional Area of the Venturi throat |
|
Ad
|
Cross-sectional Area of the pipe |
|
C
|
Capacitance |
|
Cd
|
Discharge coefficient |
|
c
|
Sensitivity coefficients |
|
D
|
Diameter of the Venturi throat |
|
d
|
Diameter of the pipe or Venturi inlet |
|
dp
|
Differential pressure |
|
dt
|
Time interval between two detection of the dual-ECT |
|
e
|
Error term |
|
f
|
Detection frequency or function |
|
L
|
Distance between the two planes of dual-ECT |
|
M
|
Number of simulation tests |
|
n
|
Total number or serial number |
|
p
|
Pressure or level of confidence |
|
Q
|
Volume flowrate |
|
Qtot
|
Total Volume flowrate |
|
Qth
|
Estimated total flowrate of the dual-ECT |
|
Qtp
|
Indicated gas flowrate of the Venturi |
|
s
|
Standard deviation |
|
T
|
Temperature |
|
t
|
time |
|
U
|
Expanded uncertainty |
|
u
|
Standard uncertainty |
|
urel
|
Relative standard uncertainty |
|
uc
|
Combined uncertainty |
|
X
|
Lockhart-Martinelli Parameter |
|
x
|
Independent variable |
|
Y
|
The reciprocal of X
|
|
y
|
Measurand or dependent variable |
|
Symbols:
|
|
|
β
|
Diameter ratio or regression coefficients |
|
ε
|
Expansion factor |
| Σ |
Covariance Matrix |
|
σ2
|
Residual Variance |
|
ρ
|
Density |
|
τ
|
Time delay |
|
φ
|
Over-reading |
|
Abbreviations:
|
|
| Cap |
Capacitance |
| CC |
Cross-Correlation |
| DP |
Differential Pressure |
| ECT |
Electrical Capacitance Tomography |
| ERT |
Electrical Resistance Tomography |
| Eq. |
Equation |
| Fig. |
Figure |
| GUM |
Guide to the expression of Uncertainty in Measurement |
| L-M |
Lockhart-Martinelli Parameter |
| LVF |
Liquid Volume Fraction |
| MAE |
Mean Absolute Error |
| MAPE |
Mean Absolute Percentage Error |
| MAPU |
Mean Absolute Percentage Uncertainty |
| MAU |
Mean Absolute Uncertainty |
| MCM |
Monte Carlo Method |
| MPFM |
Multiphase Flow Meter |
| PDF |
Probability Density Function |
| Std. |
standard |
| UA |
Uncertainty Analysis |
|
Subscripts:
|
|
| avg |
average |
| g |
gas |
| l |
liquid |
| rel |
relative |
| 0 |
Estimated value |