Calculations for liquid, Density, Viscosity – Sierra INNOVA-MASS 241-VTP User Manual
Page 76
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.