📄 ethane.fld
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?\
!end of info section
90.352 !lower temperature limit [K]
625.0 !upper temperature limit [K]
70000. !upper pressure limit [kPa]
22.419 !maximum density [mol/L]
3 0 !# terms for dilute gas function: numerator, denominator
245.0 1.d-3 !reducing parameters for T, tcx
1.7104147 0.0 !coeff, power in T
-0.6936482 -1.0
0. -96.0
7 0 !# terms for background gas function: numerator, denominator
305.33 6.87 4.41786d-3 !reducing parameters for T, rho, tcx
0.96084322 0.0 1.0 0.0 !coeff, powers of t, rho, exp(rho)
2.7500235 0.0 2.0 0.0
-0.026609289 0.0 3.0 0.0
-0.078146729 0.0 4.0 0.0
0.21881339 0.0 5.0 0.0
2.3849563 -1.5 1.0 0.0
-0.75113971 -1.0 3.0 0.0
TK3 !pointer to critical enhancement auxiliary function
#AUX !thermal conductivity critical enhancement model
TK3 thermal conductivity critical enhancement of Friend et al. (1991).
?LITERATURE REFERENCE \
?Friend, D.G., Ingham, H., and Ely, J.F.,
? "Thermophysical properties of ethane,"
? J. Phys. Chem. Ref. Data, 20(2):275-347, 1991.
?\
!end of info section
20.0 !lower temperature limit [K]
2000.0 !upper temperature limit [K]
2200000.0 !upper pressure limit [kPa]
46.99 !maximum density [mol/L]
9 0 0 0 !# terms: terms, spare, spare, spare
1.0 1.0 1.0 !reducing par for T, rho, tcx (mW/m-K)
0.630d0 !gnu (universal exponent)
1.242d0 !gamma (universal exponent)
1.01d0 !R0 (universal amplitude)
0.065d0 !z (universal exponent--not used for t.c., only viscosity)
1.00d0 !c (constant in viscosity eqn = 1/[2 - (alpha + gamma)/(2*nu)], but often set to 1)
0.19d-9 !xi0 (amplitude) [m]
0.0563 !gam0 (amplitude) [-]
0.545d-9 !qd_inverse (modified effective cutoff parameter) [m]
610.66 !tref (reference temperature) [K]
#ETA !viscosity model specification
VS1 pure fluid viscosity model of Friend et al. (1991).
?LITERATURE REFERENCE \
?Friend, D.G., Ingham, H., and Ely, J.F.,
? "Thermophysical properties of ethane,"
? J. Phys. Chem. Ref. Data, 20(2):275-347, 1991.
?\
?The uncertainty in viscosity is 2%.
?\
!end of info section
90.352 !lower temperature limit [K]
625.0 !upper temperature limit [K]
70000. !upper pressure limit [kPa]
22.419 !maximum density [mol/L]
1 !number of terms associated with dilute-gas function
CI2 !pointer to reduced effective collision cross-section model
0.43682 !Lennard-Jones coefficient sigma [nm]
245.0 !Lennard-Jones coefficient epsilon/kappa [K]
1.0 1.0 !reducing parameters for T, eta
0.1463897 0.50d0 !Chapman-Enskog term
0 !number of terms for initial density dependence
0 0 9 3 0 0 !# resid terms: close-packed density; simple poly; numerator of rational poly; denominator of rat. poly; numerator of exponential; denominator of exponential
305.33 6.87 15.977 !reducing parameters for T, rho, eta
0.47177003 0.0 1.00 0.00 0 !simple polynomial terms
-0.23950311 -1.0 1.00 0.00 0
0.39808301 0.0 2.00 0.00 0
-0.27343335 -1.0 2.00 0.00 0
0.35192260 -1.5 2.00 0.00 0
-0.21101308 0.0 3.00 0.00 0
-0.00478579 -2.0 3.00 0.00 0
0.07378129 0.0 4.00 0.00 0
-0.030425255 -1.0 4.00 0.00 0
1. 0.0 0.00 0.00 0
-0.30435286 0.0 1.00 0.00 0
0.001215675 -1.0 1.00 0.00 0
NUL !pointer to critical enhancement auxiliary function (none used)
@ETA !viscosity model specification
VS2 pure fluid viscosity model of Younglove and Ely (1987).
?LITERATURE REFERENCE \
?Younglove, B.A. and Ely, J.F.,
? "Thermophysical properties of fluids. II. Methane, ethane, propane,
? isobutane and normal butane,"
? J. Phys. Chem. Ref. Data, 16:577-798, 1987.
?\
?N.B. all temperatures on IPTS-68
?\
?The uncertainty in viscosity is 2%, except in the critical region which is 5%.
?\
!end of info section
90.348 !lower temperature limit [K]
600.0 !upper temperature limit [K]
70000.0 !upper pressure limit [kPa]
22.419 !maximum density [mol/L]
CI2 !pointer to collision integral model
0.440110 !Lennard-Jones coefficient sigma [nm]
240.0 !Lennard-Jones coefficient epsilon/kappa [K]
1.46388493d-01 !const in Eq 19 = 5/16*(k*MW/1000/pi/Na)**0.5*1.0d12
0.5 !exponent in Eq 19 for T
0.2102436247d+01 !coeff for initial density dependence of viscosity (eq 21); Fv(1)
-0.1065920192d+01 !Fv(2)
1.4 !Fv(3)
305.33 !Fv(4)
-0.1903481042d+02 !coefficients for residual viscosity, eqs (22 - 25)
0.1799260494d+04 !Ev(2)
0.1561316986d+02 !Ev(3)
-0.1497221136d+05 !Ev(4)
0.1130374601d+00 !Ev(5)
-0.2186440756d+02 !Ev(6)
0.8235954037d+04 !Ev(7)
6.875 !Ev(8)
NUL !pointer to critical enhancement auxiliary function (none used)
#AUX !collision integral specification
CI2 collision integral model of M. Klein et al (1974).
?LITERATURE REFERENCE \
?Klein, M., Hanley, H.J.M., Smith, F.J., and Holland, P.,
? Natl. Bur. Stand. (U.S.), Monograph 47, 1974.
?\
?also repeated in:
?Friend, D.G., Ingham, H., and Ely, J.F.,
? "Thermophysical properties of ethane,"
? J. Phys. Chem. Ref. Data, 20(2):275-347, 1991.
?\
?and
?\
?Younglove, B.A. and Ely, J.F.,
? "Thermophysical properties of fluids. II. Methane, ethane, propane,
? isobutane and normal butane,"
? J. Phys. Chem. Ref. Data, 16:577-798, 1987.
?(but note that there is an error in the Younglove and Ely paper)
?\
!end of info section
90.352 !lower temperature limit [K]
625.0 !upper temperature limit [K]
0.0 !(dummy) upper pressure limit
0.0 !(dummy) maximum density
9 !number of terms
-3.0328138281 !Omega: coeffs of {(e/kT)**((i-1)/3 - 1)}
16.918880086
-37.189364917
41.288861858
-24.61592114
8.948843096
-1.8739245042
0.209661014 !N.B. wrong sign in Younglove and Ely, Table 2
-0.009657044
@TRN !transport model specification
ECS Extended Corresponding States model (Nitrogen reference); predictive mode.
?LITERATURE REFERENCES \
?Klein, S.A., McLinden, M.O., and Laesecke, A.,
? "An improved extended corresponding states method for estimation of
? viscosity of pure refrigerants and mixtures,"
? Int. J. Refrigeration, 20:208-217, 1997.
?\
?McLinden, M.O., Klein, S.A., and Perkins, R.A.,
? "An extended corresponding states model for the thermal conductivity
? of refrigerants and refrigerant mixtures,"
? Int. J. Refrigeration, 23:43-63, 2000.
?\
?the Lennard-Jones parameters are taken from:
?\
?Reid, R.C., Prausnitz, J.M., and Poling, B.E.,
? "The Properties of Gases and Liquids,"
? 4th edition, New York, McGraw-Hill Book Company, 1987.
?\
!end of info section
90.348 !lower temperature limit [K]
600.0 !upper temperature limit [K]
70000.0 !upper pressure limit [kPa]
22.419 !maximum density [mol/L]
FEQ Nitrogen.fld
VS1 !model for reference fluid viscosity
TC1 !model for reference fluid thermal conductivity
1 !Lennard-Jones flag (0 or 1) (0 => use estimates)
0.4443 !Lennard-Jones coefficient sigma [nm] for ECS method
215.7 !Lennard-Jones coefficient epsilon/kappa [K] for ECS method
1 0 0 !number of terms in f_int term in Eucken correlation, spare1, spare2
1.3200d-3 0.0 0.0 0.0 !coeff, power of T, spare 1, spare 2
1 0 0 !number of terms in psi (visc shape factor): poly,spare1,spare2
1.0000d+0 0.0 0.0 0.0 !coeff, power of Tr, power of Dr, spare
1 0 0 !number of terms in chi (t.c. shape factor): poly,spare1,spare2
1.0000d+0 0.0 0.0 0.0 !coeff, power of Tr, power of Dr, spare
#STN !surface tension specification
ST1 surface tension model; fit of data from Soares (1986), Leadbetter (1964), and Katz (1939).
?LITERATURE REFERENCE \
?fit of the data of:
?\
?Soares, V.A.M., Almeida, B.J.V.S., McLure, I.A., and Higgins, R.A.,
? "Surface tension of pure and mixed simple substances at low temperature,"
? Fluid Phase Equilibria, 32:9-16, 1986.
?\
?Leadbetter, A.J., Taylor, D.J., and Vincent, B.,
? "The densities and surface tension of liquid ethane and nitrous oxide,"
? Can. J. Chem., 42:2930-2932, 1964.
?\
?Katz, D.L. and Saltman, W.,
? "Surface tension of hydrocarbons,"
? Ind. Eng. Chem., 31:91-94, 1939.
?\
!end of info section
90.348 !lower temperature limit [K]
305.34 !upper temperature limit [K]
0.0 !(dummy) upper pressure limit
0.0 !(dummy) maximum density
2 !number of terms in surface tension model
305.34 !critical temperature used in fit (dummy)
0.05378 1.26 !sigma0 and n
-0.007008 2.52
#DE !dielectric constant specification
DE1 dielectric constant model of Younglove and Ely (1987).
?LITERATURE REFERENCE \
?Younglove, B.A. and Ely, J.F.,
? "Thermophysical properties of fluids. II. Methane, ethane, propane,
? isobutane and normal butane,"
? J. Phys. Chem. Ref. Data, 16:577-798, 1987.
?\
?The uncertainty in dielectric constant is 0.05%.
?\
!end of info section
83.80 !lower temperature limit [K]
150.6633 !upper temperature limit [K]
0.0 !(dummy) upper pressure limit
0.0 !(dummy) maximum density
305.34 1.0 1.0 !reducing parameters for t, d, and p
4 1 0 0 0 0 !number of terms in dielectric constant model
0.111421d-1 0. 1. 0. !coef, t exp, d exp, p exp
0.206622d-4 0. 2. 0.
-0.135982d-5 0. 3. 0.
-0.145683d-6 0. 1. 1.
0.630432d-4 0. 1. 0.
#MLT !melting line specification
ML1 melting line model of Younglove and Ely (1987).
?LITERATURE REFERENCE \
?Younglove, B.A. and Ely, J.F.,
? "Thermophysical properties of fluids. II. Methane, ethane, propane,
? isobutane and normal butane,"
? J. Phys. Chem. Ref. Data, 16:577-798, 1987.
?\
!end of info section
90.352 !lower temperature limit [K]
625.0 !upper temperature limit [K]
0.0 !(dummy) upper pressure limit
0.0 !(dummy) maximum density
1. 1000. !reducing temperature and pressure
2 0 0 0 0 0 !number of terms in melting line equation
-255.98971357786 0. !coefficients and exponents (extra digits required
0.1400342d-1 2.179 !to achieve ptp=1.13 Pa)
@END
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