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16 .3 perform meter body correction – KROHNE Summit 8800 Vol 2 User Manual

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180

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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]