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. 2021 Apr 12;21(8):2713. doi: 10.3390/s21082713
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