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11451 Belcher Road South, Largo, FL 33773 • USA • Tel +1 (727) 447-6140 • Fax (727) 442-5699 • [email protected]
F-2600 & F-2700 Vortex Flow Meter Manual 02/15 - 0808-7 / 19204 Page B-4
Calculations for Gas (“Real Gas” and “Other Gas”)
Use this formula to determine the settings for “Real Gas; Gas” selections and “Other
Gas” selections entered in the Fluid Menu. The calculations for gas were taken from
Richard W. Miller, Flow Measurement Engineering Handbook (Third Edition, 1996).
Density
The density for real gases is calculated from the equation:
ρ =
GM w, Air p f
Z
f
R
0
T
f
Where G is the specic gravity, Mw is the molecular weight of air, pf is
the owing pressure, Z is owing compressibility, Ro is the universal gas
constant, and T is the owing temperature.
The specic gravity, and Ro are known and are stored in a table used by the vortex
meter.
The hard coefcient to nd is the compressibility, Z. Z is found using the Redlich-
Kwong Equation (Miller page 2-18).
The Redlich-Kwong Equation uses the reduced temperature and pressure to
calculate the compressibility factor. The equations are non linear and an iterative
solution is used. The vortex program uses Newton’s Method on the Redlich-Kwong
equations to iteratively nd the compressibility factor. The critical temperature and
pressure used in the Redlich-Kwong equation are stored in the uid data table with
the other coefcients.
Viscosity
The viscosity for real gases is calculated using the exponential equation for two
known viscosities. The equation is:
cP
= aT
n
k
Where a and n are found from two known viscosities at
two temperatures.
n =
1n [(μ
cP
)
2
/ (μ
cP
)
1
]
1n (T
K2
/ T
K1
)
and
a =
cP
)
1
T
n
K1
Seitenansicht 124

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