Calculations for liquid, Density, Viscosity – Sierra INNOVA-MASS 241-VTP User Manual

Page 76

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Series 24-HP Instruction Manual

Appendix C Fluid Calculations

IM-24-HP

C-3

Calculations for Liquid

Use this formula to determine the settings for “Goyal-Dorais” selections
and “Other Liquid” selections entered in the Fluid Menu. The liquid cal-
culations were taken from Richard W. Miller, Flow Measurement Engi-
neering Handbook (Second Edition, 1989)
.

Density

The liquid density is found using the Goyal-Doraiswamy Equation. Goy-
al-Doraiswamy uses the critical compressibility, critical pressure and
critical temperature, along with the molecular weight to find the density.
The equation for specific gravity is:

⎟⎟

⎜⎜

=

C

f

c

c

c

F

T

T

Z

T

Mw

p

G

01102

.

0

008

.

0

773

.

0

The specific gravity can then be converted into density.

Viscosity

The liquid viscosity is found by Andrade's equation. This uses two vis-
cosities at different temperatures to extrapolate the viscosity.

Andrade's equation:

R

L

L

T

B

A

deg

exp

=

μ


To find A and B

1

deg

2

deg

2

1

2

deg

1

deg

)

/

ln(

R

R

R

R

L

T

T

T

T

B

=

μ

μ

)

/

exp(

1

deg

1

R

L

L

T

B

A

μ

=

The temperatures are all in degrees Rankin. Do not believe the subscript
R means they are reduced temperatures.


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