Technical data

Pressure Expansion Correction Equation 3-11:
E
xpCorr
P
= 1 +
3 × β ×
(
P
a
bs,ƒ
− P
ref
)
ExpCorr
P
=
expansion correction factor due to pressure (dimensionless) (ExpCorrPressure)
ß =
pipe strain per unit stress (MPaa
-1
) (StrainPerUnitStress)
P
abs,f
=
flow-condition absolute pressure (MPaa) (AbsFlowPressure)
P
ref
=
reference absolute pressure (MPaa) (0.101325 MPaa)
Pressure-effect strain per unit stress Equation 3-12:
β =
D
o
ut
2
(
1 + υ
)
+ D
i
n
2
(
1 − υ
)
Ε •
(
D
out
2
− D
in
2
)
ß =
pipe strain per unit stress (MPaa-1) (StrainPerUnitStress)
D
out
=
outside diameter of the meter or pipe (m) (PipeOutsideDiameter)
D
in
=
inside diameter of the meter or pipe (m) (PipeDiam)
V =
Poisson’s Ratio (dimensionless) (PoissonsRatio)
E =
Young’s Modulus of elasticity (MPaa) (YoungsModulus)
3.5.4 Temperature expansion correction
The meter is capable of correcting the raw volumetric flow rate for the effect of pipe
expansion due to temperature changes. Note that for the temperature-effect expansion
correction factor to be calculated, the correction must be enabled (via the
EnableExpCorrTemp data point) and the flow-condition temperature must be available
(i.e., the EnableTemperatureInput data point must be set to “Live”(1) or “Fixed”(2). See
the Temperature Expansion Correction Equation.
Temperature Expansion Correction Equation 3-13:
E
xpCorr
T
= 1 +
3 × α ×
(
T
ƒ
− T
r
ef
)
ExpCorr
T
=
expansion correction factor due to temperature (dimensionless)
(ExpCorrTemperature).
α =
pipe linear expansion coefficient due to temperature (K-1)
(LinearExpansionCoef)
T
f
=
flow-condition temperature (K) (FlowTemperature)
T
ref
=
reference temperature for the pipe linear expansion coefficient (K)
(RefTempLinearExpCoef)
3.5.5 Reynolds number calculation
Reynolds Number is a dimensionless value that represents the nature of the liquid flow
within the pipe. Reynolds Number is calculated as shown in Equation B-16
Flow measurement
Operations 23