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198 Volumetric flow rate
Section 6: Meter operation Reference, Installation, and Operations Manual
June 2013 3-9000-743 Rev S
Equation 6-15 Pressure-effect strain per unit stress
where
Temperature-effect 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 Section 5.6.12). The temperature-effect
calculation is shown in Equation 6-16. If the temperature-effect expansion correction factor is
not calculated, it is set to 1.0.
Equation 6-16 Temperature-Effect Expansion Correction
where
=
pipe strain per unit stress (MPaa
-1
) (StrainPerUnitStress)
=
outside diameter of the meter or pipe (m)
(PipeOutsideDiameter)
=
inside diameter of the meter or pipe (m) (PipeDiam)
=
Poisson’s Ratio (dimensionless) (PoissonsRatio)
=
Young’s Modulus of elasticity (MPaa) (YoungsModulus)
=
expansion correction factor due to temperature
(dimensionless) (ExpCorrTemperature)
=
pipe linear expansion coefficient due to temperature (K-1)
(LinearExpansionCoef)
=
flow-condition temperature (K) (FlowTemperature)
=
reference temperature for the pipe linear expansion
coefficient (K) (RefTempLinearExpCoef)
β
D
out
2
1 υ+()[]D
in
2
12υ–()[]+
ED
out
2
D
in
2
–()⋅
--------------------------------------------------------------------------
=
β
D
out
D
in
υ
E
ExpCorr
T
13α× T
f
T
ref
–()×[]+=
ExpCorr
T
α
T
f
T
ref