16 .3 perform meter body correction – KROHNE Summit 8800 Vol 2 User Manual
Page 180
180
www.krohne.com
08/2013 - MA SUMMIT 8800 Vol2 R02 en
SUMMIT 8800
APPENDIX 2: LIQUID CALCULATIONS
16
16 .3 Perform meter body correction
The system corrects the volume flow for the impact of pressure and temperature on the geom-
etry of the flanged meter body according to ISO standard 17089-1.
Simplified direct single-stage calculation is used which estimates the effect for pressure and
temperature:
1) Body temperature effect
(
)
T
=
Q
Q
ature
bodytemper
∆
+
*
*
3
1
0
1
α
Equation 8 Meter body temperature effect
Where:
Q1/Q0
flow correction factor for the meter output [-]
α
thermal expansion coefficient [K-1]
ΔT
temperature difference [K]
With:
cal
op
T
T
=
T
−
∆
Equation 9 Delta temperature
Where:
Top
Field operation temperature [K]
Tcal
Calibration temperature [K]
2) Body pressure expansion
∆
+
−
+
+
E
P
R
a
R
a
=
Q
Q
re
bodypressu
*
*
4
1
2
2
2
2
max
0
1
σ
Equation 10 Meter body pressure expansion
Where:
Q1/Q0
correction factor for the meter output [-]
R
inside pipe radius [m]
α
outside diameter of the meter body [m]
σ
Poison’s ratio [-]
ΔP
pressure difference [Pa]
E
modulus of elasticity [Pa]
With:
cal
op
P
P
=
P
−
∆
Equation 11 Delta pressure
Where:
Pop
Field operation pressure [Pa]
Pcal
Calibration pressure [Pa]