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Argon !Short name
7440-37-1 !CAS number
Argon !Full name
Ar !Chemical formula {Ar}
R-740 !Synonym
39.948 !Molar mass [g/mol]
83.8058 !Triple point temperature [K]
87.302 !Normal boiling point [K]
150.687 !Critical temperature [K]
4863.0 !Critical pressure [kPa]
13.4074 !Critical density [mol/L]
-0.00219 !Acentric factor
0.0 !Dipole moment [Debye]; (exactly zero for monatomic molecules)
OT0 !Default reference state
298.15 101.325 6197.0 154.737 !Tref, Pref, Href, Sref
10.0 !Version number
1951 !UN Number :UN:
cryogen !Family :Family:
0.0 !Heating value (upper) [kJ/mol] :Heat:
A1 !Safety Group (ASHRAE Standard 34, 2010) :Safety:
1S/Ar !Standard InChI String :InChi:
XKRFYHLGVUSROY-UHFFFAOYSA-N !Standard InChI Key :InChiKey:
edbdc8e0 (nitrogen) !Alternative fluid for mixing rules :AltID:
ed016370 !Hash number from InChI Key :Hash:
!The fluid files contain general information about the fluid in the first 15 to 20 lines, followed by sections for the
! equations of state, transport equations, and auxiliary equations. Equations of state are listed first. The NIST recommended
! equations begin with a hash mark (#). The secondary equations begin with the @ symbol. These symbols can be swapped to
! select a secondary equation as primary and the primary as secondary. The equation of state section also contains auxiliary
! equations for the ideal gas heat capacity or ideal gas Helmholtz energy. Below the equations of state (both primary and
! secondary) are the transport equations, first viscosity and then thermal conductivity. These are then followed by the
! secondary equations if available. The transport section also contains auxiliary equations required to calculate either the
! dilute gas state or the critical enhancement. At the end of the file are additional but not necessary auxiliary equations,
! including simple equations for the vapor pressure, saturated liquid and vapor densities, melting line (for some fluids), and
! sublimation line (for even fewer fluids). This section also contains the equations for dielectric constant and surface
! tension if available. The sections are divided by different symbols (these being _-+=^*~) to aid the eye in locating a
! particular section. Secondary equations are indented 10 spaces to avoid confusion with the NIST recommended equations. The
! end of the fluid file is marked with @END. Anything below that is ignored.
! compiled by E.W. Lemmon, NIST Physical and Chemical Properties Division, Boulder, Colorado
! 12-03-97 EWL, Original version.
! 06-23-98 EWL, Add Tegeler equation of state as default equation.
! 06-24-98 EWL, Add Younglove BWR equation.
! 06-26-98 EWL, Add Younglove transport equations.
! 01-07-99 EWL, Change ECS reference fluid to nitrogen.
! 10-27-99 EWL, Add Span 12 term equation.
! 11-15-99 EWL, Change default reference state.
! 03-20-00 EWL, Change max density to the density at p=2*pmax along melting line.
! 05-20-01 EWL, Add sublimation line.
! 11-26-02 EWL, Change reference state to OT0 with values from CODATA.
! 06-10-03 EWL, Finalize transport equations.
! 08-05-04 EWL, Add Harvey and Lemmon dielectric correlation.
! 11-18-04 MLH, Add tPR.
! 09-14-06 EWL, Change upper T limit from 700 to 2000 K.
! 12-02-06 MLH, Update LJ for ECS.
! 06-10-10 CKL, Add ancillary equations.
! 12-06-12 EWL, Add surface tension coefficients of Mulero et al. (2012).
________________________________________________________________________________
#EOS !---Equation of state---
FEQ !Helmholtz equation of state for argon of Tegeler et al. (1999).
:TRUECRITICALPOINT: 150.687 13.40742965 !True EOS critical point [K, mol/L] (where dP/dD=0 and d^2P/dD^2=0 at constant T)
:DOI: 10.1063/1.556037
?
?```````````````````````````````````````````````````````````````````````````````
?Tegeler, Ch., Span, R., and Wagner, W.,
? "A New Equation of State for Argon Covering the Fluid Region for
? Temperatures from the Melting Line to 700 K at Pressures up to 1000 MPa,"
? J. Phys. Chem. Ref. Data, 28(3):779-850, 1999.
?
?The estimated uncertainty in density is less than 0.02% for pressures up
? to 12 MPa and temperatures up to 340 K with the exception of the
? critical region and less than 0.03% for pressures up to 30 MPa and
? temperatures between 235 and 520 K. Elsewhere, the uncertainty in
? density is generally within 0.2%. In the region with densities up to
? half the critical density and for temperatures between 90 and 450 K, the
? estimated uncertainty of calculated speeds of sound is in general less
? than 0.02%. In the liquid and supercritical regions, the uncertainty is
? less than 1%. The uncertainty in heat capacities is within 0.3% for the
? vapor and 2% for the liquid. The formulation gives reasonable
? extrapolation behavior up to very high pressures (50 GPa) and
? temperatures (17000 K).
?
!```````````````````````````````````````````````````````````````````````````````
83.8058 !Lower temperature limit [K]
2000.0 !Upper temperature limit [K]
1000000.0 !Upper pressure limit [kPa]
50.65 !Maximum density [mol/L]
CPP !Pointer to Cp0 model
39.948 !Molar mass [g/mol]
83.8058 !Triple point temperature [K]
68.891 !Pressure at triple point [kPa]
35.465 !Density at triple point [mol/L]
87.302 !Normal boiling point temperature [K]
-0.00219 !Acentric factor
150.687 4863.0 13.40742965 !Tc [K], pc [kPa], rhoc [mol/L]
150.687 13.40742965 !Reducing parameters [K, mol/L]
8.31451 !Gas constant [J/mol-K]
37 4 4 12 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms
0.08872230499 0.0 1. 0. !a(i),t(i),d(i),l(i)
0.705148051673 0.25 1. 0.
-1.68201156541 1.0 1. 0.
-0.149090144315 2.75 1. 0.
-0.120248046009 4.0 1. 0.
-0.121649787986 0.0 2. 0.
0.400359336268 0.25 2. 0.
-0.271360626991 0.75 2. 0.
0.242119245796 2.75 2. 0.
0.00578895831856 0.0 3. 0.
-0.0410973356153 2.0 3. 0.
0.0247107615416 0.75 4. 0.
-0.321813917507 3.0 1. 1.
0.332300176958 3.5 1. 1.
0.0310199862873 1.0 3. 1.
-0.0307770860024 2.0 4. 1.
0.0938911374196 4.0 4. 1.
-0.090643210682 3.0 5. 1.
-0.000457783492767 0.0 7. 1.
-0.826597290252e-4 0.5 10. 1.
0.000130134156031 1.0 10. 1.
-0.011397840002 1.0 2. 2.
-0.0244551699605 7.0 2. 2.
-0.064324067176 5.0 4. 2.
0.0588894710937 6.0 4. 2.
-0.00064933552113 6.0 8. 2.
-0.0138898621584 10.0 3. 3.
0.404898392969 13.0 5. 3.
-0.386125195947 14.0 5. 3.
-0.188171423322 11.0 6. 3.
0.159776475965 14.0 6. 3.
0.0539855185139 8.0 7. 3.
-0.028953417958 14.0 7. 3.
-0.0130254133814 6.0 8. 3.
0.00289486967758 7.0 9. 3.
-0.00226471343048 24.0 5. 4.
0.00176164561964 22.0 6. 4.
0.00585524544828 3.0 2. 2. 2. -20.0 -250.0 1.11 1.0 0. 0. 0.
-0.6925190827 1.0 1. 2. 2. -20.0 -375.0 1.14 1.0 0. 0. 0.
1.53154900305 0.0 2. 2. 2. -20.0 -300.0 1.17 1.0 0. 0. 0.
-0.00273804474498 0.0 3. 2. 2. -20.0 -225.0 1.11 1.0 0. 0. 0.
eta beta gamma epsilon
EXP[eta*(delta-epsilon)^2+beta*(tau-gamma)^2]
#AUX !---Auxiliary function for Cp0
CPP !Ideal gas heat capacity function for argon of Tegeler et al. (1999).
?
?```````````````````````````````````````````````````````````````````````````````
?Tegeler, Ch., Span, R., and Wagner, W.,
? "A New Equation of State for Argon Covering the Fluid Region for
? Temperatures from the Melting Line to 700 K at Pressures up to 1000 MPa,"
? J. Phys. Chem. Ref. Data, 28(3):779-850, 1999.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1.0 8.31451 !Reducing parameters for T, Cp0
1 0 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
2.5 0.0
#AUX !---Auxiliary function for PX0
PX0 !Helmholtz energy ideal-gas function for argon of Tegeler et al. (1999).
?
?```````````````````````````````````````````````````````````````````````````````
?Tegeler, Ch., Span, R., and Wagner, W.,
? "A New Equation of State for Argon Covering the Fluid Region for
? Temperatures from the Melting Line to 700 K at Pressures up to 1000 MPa,"
? J. Phys. Chem. Ref. Data, 28(3):779-850, 1999.
?
!```````````````````````````````````````````````````````````````````````````````
1 2 0 0 0 0 0 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau))
1.5 1.0 !ai, ti for [ai*log(tau**ti)] terms
-10.2938148004759711 0.0 !aj, ti for [ai*tau**ti] terms
-0.0003415237881503 1.0 !aj, ti for [ai*tau**ti] terms
#AUX !---Auxiliary function for PH0
PH0 !Ideal gas Helmholtz form for argon.
?
?```````````````````````````````````````````````````````````````````````````````
?Tegeler, Ch., Span, R., and Wagner, W.,
? "A New Equation of State for Argon Covering the Fluid Region for
? Temperatures from the Melting Line to 700 K at Pressures up to 1000 MPa,"
? J. Phys. Chem. Ref. Data, 28(3):779-850, 1999.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1 2 0 0 0 0 0 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau)); cosh; sinh
1.5 1.0 !ai, ti for [ai*log(tau**ti)] terms
-10.2938148005 0.0 !aj, ti for [ai*tau**ti] terms
-0.0003415238 1.0
--------------------------------------------------------------------------------
@EOS !---Equation of state---
FEK !Helmholtz equation of state for argon of Kunz and Wagner (2004).
?
?```````````````````````````````````````````````````````````````````````````````
?Kunz, O., Klimeck, R., Wagner, W., Jaeschke, M.
? "The GERG-2004 Wide-Range Equation of State for Natural Gases
? and Other Mixtures," GERG Technical Monograph 15,
? Fortschritt-Berichte VDI, VDI-Verlag, Düsseldorf, 2007.
?
!```````````````````````````````````````````````````````````````````````````````
83.8058 !Lower temperature limit [K]
700.0 !Upper temperature limit [K]
1000000.0 !Upper pressure limit [kPa]
50.65 !Maximum density [mol/L]
PHK !Pointer to Cp0 model
39.948 !Molar mass [g/mol]
83.8058 !Triple point temperature [K]
69.03 !Pressure at triple point [kPa]
35.5 !Density at triple point [mol/L]
87.29 !Normal boiling point temperature [K]
-0.0006 !Acentric factor
150.687 4879.8 13.407429659 !Tc [K], pc [kPa], rhoc [mol/L]
150.687 13.407429659 !Reducing parameters [K, mol/L]
8.314472 !Gas constant [J/mol-K]
12 4 0 0 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms
0.85095714803969 0.250 1. 0.
-2.4003222943480 1.125 1. 0.
0.54127841476466 1.5 1. 0.
0.016919770692538 1.375 2. 0.
0.068825965019035 0.25 3. 0.
0.00021428032815338 0.875 7. 0.
0.17429895321992 0.625 2. 1.
-0.033654495604194 1.75 5. 1.
-0.13526799857691 3.625 1. 2.
-0.016387350791552 3.625 4. 2.
-0.024987666851475 14.5 3. 3.
0.0088769204815709 12.0 4. 3.
@AUX !---Auxiliary function for PH0
PHK !Ideal gas Helmholtz form for argon of Kunz and Wagner (2004).
?
?```````````````````````````````````````````````````````````````````````````````
?Kunz, O., Klimeck, R., Wagner, W., Jaeschke, M.
? "The GERG-2004 Wide-Range Equation of State for Natural Gases
? and Other Mixtures," GERG Technical Monograph 15,
? Fortschritt-Berichte VDI, VDI-Verlag, Düsseldorf, 2007.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1 2 0 0 0 0 0 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau)); cosh; sinh
1.5 1.0 !ai, ti for [ai*log(tau**ti)] terms
8.3166315 0.0 !aj, ti for [ai*tau**ti] terms
-4.9465026 1.0
@EOS !---Equation of state---
FE1 !Helmholtz equation of state for argon of Stewart and Jacobsen (1989).
?
?```````````````````````````````````````````````````````````````````````````````
?Stewart, R.B. and Jacobsen, R.T,
? "Thermodynamic Properties of Argon from the Triple Point to 1200 K at
? Pressures to 1000 MPa,"
? J. Phys. Chem. Ref. Data, 18(2):639-798, 1989.
?
!```````````````````````````````````````````````````````````````````````````````
83.804 !Lower temperature limit [K]
1200.0 !Upper temperature limit [K]
1000000.0 !Upper pressure limit [kPa]
45.814 !Maximum density [mol/L]
CP1 !Pointer to Cp0 model
39.948 !Molar mass [g/mol]
83.804 !Triple point temperature [K]
68.961 !Pressure at triple point [kPa]
35.475 !Density at triple point [mol/L]
87.293 !Normal boiling point temperature [K]
-0.004 !Acentric factor
150.6633 4860.0 13.29 !Tc [K], pc [kPa], rhoc [mol/L]
150.6633 13.29 !Reducing parameters [K, mol/L]
8.31434 !Gas constant [J/mol-K]
28 4 0 0 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms
0.7918675715 0.25 1. 0. !a(i),t(i),d(i),l(i)
-1.633346151 1.0 1. 0.
-0.439530293 3.0 1. 0.
0.1033899999 4.0 1. 0.
0.2061801664 0.25 2. 0.
-0.2888681776 1.0 2. 0.
0.439801055 2.5 2. 0.
-0.08429550391 3.5 2. 0.
-0.2155658654 0.75 3. 0.
0.4786509099 1.0 3. 0.
-0.3525884593 1.5 3. 0.
0.03015073692 2.5 3. 0.
0.02987679059 1.0 4. 0.
-0.01522568583 2.0 4. 0.
0.0007435785786 2.0 6. 0.
0.07099541624 5.0 1. 3.
-0.02904237185 7.0 1. 3.
-0.06223078525 5.0 2. 2.
0.0001410895187 22.0 2. 4.
-0.001481241783 16.0 2. 6.
0.03023342784 10.0 3. 3.
-0.06126784685 14.0 3. 3.
0.0270996709 16.0 3. 3.
0.09411034405 4.0 4. 2.
-0.007291645114 8.0 4. 2.
-0.001586314976 10.0 4. 4.
0.0009510948813 5.0 8. 2.
0.0007786181844 6.0 8. 2.
@AUX !---Auxiliary function for Cp0
CP1 !Ideal gas heat capacity function for argon.
?
?```````````````````````````````````````````````````````````````````````````````
?Stewart, R.B. and Jacobsen, R.T,
? "Thermodynamic Properties of Argon from the Triple Point to 1200 K at
? Pressures to 1000 MPa,"
? J. Phys. Chem. Ref. Data, 18(2):639-798, 1989. doi: 10.1063/1.555829
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1.0 8.31434 !Reducing parameters for T, Cp0
1 0 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
2.5 0.0
@EOS !---Equation of state---
FES !Helmholtz equation of state for argon of Span and Wagner (2003).
?
?```````````````````````````````````````````````````````````````````````````````
?Span, R. and Wagner, W.
? "Equations of State for Technical Applications. II. Results for Nonpolar Fluids,"
? Int. J. Thermophys., 24(1):41-109, 2003. doi: 10.1023/A:1022310214958
?
?The uncertainties of the equation of state are approximately 0.2% (to
? 0.5% at high pressures) in density, 1% (in the vapor phase) to 2% in
? heat capacity, 1% (in the vapor phase) to 2% in the speed of sound, and
? 0.2% in vapor pressure, except in the critical region.
?
!```````````````````````````````````````````````````````````````````````````````
83.8058 !Lower temperature limit [K]
600.0 !Upper temperature limit [K]
100000.0 !Upper pressure limit [kPa]
50.65 !Maximum density [mol/L]
CPP !Pointer to Cp0 model
39.948 !Molar mass [g/mol]
83.8058 !Triple point temperature [K]
69.026 !Pressure at triple point [kPa]
35.498 !Density at triple point [mol/L]
87.289 !Normal boiling point temperature [K]
-0.002 !Acentric factor
150.687 4863.0 13.40743 !Tc [K], pc [kPa], rhoc [mol/L]
150.687 13.40743 !Reducing parameters [K, mol/L]
8.31451 !Gas constant [J/mol-K]
12 4 0 0 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms
0.85095715 0.25 1. 0. !a(i),t(i),d(i),l(i)
-2.4003223 1.125 1. 0.
0.54127841 1.5 1. 0.
0.016919771 1.375 2. 0.
0.068825965 0.25 3. 0.
0.00021428033 0.875 7. 0.
0.17429895 0.625 2. 1.
-0.033654496 1.75 5. 1.
-0.135268 3.625 1. 2.
-0.016387351 3.625 4. 2.
-0.024987667 14.5 3. 3.
0.0088769205 12.0 4. 3.
@EOS !---Equation of state---
BWR !MBWR equation of state for argon of Younglove (1982).
?
?```````````````````````````````````````````````````````````````````````````````
?Younglove, B.A.,
? "Thermophysical Properties of Fluids. I. Argon, Ethylene,
? Parahydrogen, Nitrogen, Nitrogen Trifluoride, and Oxygen,"
? J. Phys. Chem. Ref. Data, Vol. 11, Suppl. 1, pp. 1-11, 1982.
?
!```````````````````````````````````````````````````````````````````````````````
83.80 !Lower temperature limit [K]
400.0 !Upper temperature limit [K]
101000.0 !Upper pressure limit [kPa]
50.65 !Maximum density [mol/L]
CP2 !Pointer to Cp0 model
39.948 !Molar mass [g/mol]
83.80 !Triple point temperature [K]
68.906 !Pressure at triple point [kPa]
35.4 !Density at triple point [mol/L]
87.302 !Normal boiling point temperature [K]
-0.002 !Acentric factor
150.86 4905.8 13.41 !Tc [K], pc [kPa], rhoc [mol/L]
150.86 13.41 !Reducing parameters [K, mol/L]
13.418 !gamma
0.0831434 !Gas constant [L-bar/mol-K]
32 1 !Nterm, Ncoeff per term
-0.0006569731294 0.1822957801 -3.649470141
123.2012107 -8613.578274 0.7978579691e-4
-0.0291148911 7.581821758 8780.488169
0.1423145989e-6 0.001674146131 -0.3200447909
0.2561766372e-4 -0.0005475934941 -0.4505032058
0.2013254653e-4 -0.1678941273e-6 0.0004207329271
-0.5444212996e-5 -8004.855011 -131930.4201
-49.5492393 80921.32177 -0.09870104061
2.020441562 -0.0001637417205 -0.7038944136
-0.1154324539e-6 0.1555990117e-4 -0.1492178536e-9
-0.1001356071e-7 0.2933963216e-6
@AUX !---Auxiliary function for Cp0
CP2 !Ideal gas heat capacity function for argon of Younglove.
?
?```````````````````````````````````````````````````````````````````````````````
?Younglove, B.A.,
? "Thermophysical Properties of Fluids. I. Argon, Ethylene,
? Parahydrogen, Nitrogen, Nitrogen Trifluoride, and Oxygen,"
? J. Phys. Chem. Ref. Data, Vol. 11, Suppl. 1, pp. 1-11, 1982.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1.0 8.31434 !Reducing parameters for T, Cp0
1 0 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
2.5 0.0
@EOS !---Cubic equation of state---
PRT !Translated Peng-Robinson equation for argon.
?
?```````````````````````````````````````````````````````````````````````````````
?Volume translation of Peng Robinson EOS.
? Translation computed so that sat. liquid density at Tr=0.7 matches FEQ Helmholtz equation
? of state for Ar of Tegeler et al. (1999).
?
!```````````````````````````````````````````````````````````````````````````````
83.8058 !Lower temperature limit [K]
2000.0 !Upper temperature limit [K]
1000000.0 !Upper pressure limit [kPa]
50.65 !Maximum density [mol/L]
CPP !Pointer to Cp0 model
39.948 !Molar mass [g/mol]
-0.00219 !Acentric factor
150.687 !Critical temperature [K]
4863.0 !Critical pressure [kPa]
13.4074 !Critical density [mol/L]
8.314472 !Gas constant [J/mol-K]
1 !Number of parameters
-0.0034
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
#ETA !---Viscosity---
VS1 !Pure fluid viscosity model for argon of Lemmon and Jacobsen (2004).
:DOI: 10.1023/B:IJOT.0000022327.04529.f3
?
?```````````````````````````````````````````````````````````````````````````````
?Lemmon, E.W. and Jacobsen, R.T,
? "Viscosity and Thermal Conductivity Equations for Nitrogen, Oxygen, Argon, and Air,"
? Int. J. Thermophys., 25:21-69, 2004.
?
?The uncertainty is 0.5% in the dilute gas. Away from the dilute gas
? (pressures greater than 1 MPa and in the liquid), the uncertainties are
? as low as 1% between 270 and 300 K at pressures less than 100 MPa, and
? increase outside that range. The uncertainties are around 2% at
? temperatures of 180 K and higher. Below this and away from the critical
? region, the uncertainties steadily increase to around 5% at the triple
? points of the fluids. The uncertainties in the critical region are
? higher.
?
!```````````````````````````````````````````````````````````````````````````````
83.8058 !Lower temperature limit [K]
2000.0 !Upper temperature limit [K]
1000000.0 !Upper pressure limit [kPa]
50.65 !Maximum density [mol/L]
1 !Number of terms associated with dilute-gas function
CI1 !Pointer to reduced effective collision cross-section model
0.335 !Lennard-Jones coefficient sigma [nm]
143.2 !Lennard-Jones coefficient epsilon/kappa [K]
1.0 1.0 !Reducing parameters for T, eta
0.168729283 0.5 !Chapman-Enskog term
0 !Number of terms for initial density dependence
0 6 0 0 0 0 !# resid terms: close-packed density; simple poly; numerator of rational poly; denominator of rat. poly; numerator of exponential; denominator of exponential
150.687 13.40742965 1.0 !Reducing parameters for T, rho, eta
12.19 -0.42 1. 0. 0 !Simple polynomial terms
13.99 0.0 2. 0. 0
0.005027 -0.95 10. 0. 0
-18.93 -0.5 5. 0. 2
-6.698 -0.9 1. 0. 4
-3.827 -0.8 2. 0. 4
NUL !Pointer to the viscosity critical enhancement auxiliary function (none used)
#AUX !---Auxiliary function for the collision integral
CI1 !Collision integral model for argon of Lemmon and Jacobsen (2004).
?
?```````````````````````````````````````````````````````````````````````````````
?Lemmon, E.W. and Jacobsen, R.T, 2004.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
5 !Number of terms
0.431 0 !Coefficient, power of Tstar
-0.4623 1
0.08406 2
0.005341 3
-0.00331 4
================================================================================
#TCX !---Thermal conductivity---
TC1 !Pure fluid thermal conductivity model for argon of Lemmon and Jacobsen (2004).
:DOI: 10.1023/B:IJOT.0000022327.04529.f3
?
?```````````````````````````````````````````````````````````````````````````````
?Lemmon, E.W. and Jacobsen, R.T,
? "Viscosity and Thermal Conductivity Equations for Nitrogen, Oxygen, Argon, and Air,"
? Int. J. Thermophys., 25:21-69, 2004. doi: 10.1023/B:IJOT.0000022327.04529.f3
?
?The uncertainty for the dilute gas is 2% with increasing uncertainties
? near the triple point. For the non-dilute gas, the uncertainty is 2%
? for temperatures greater than 170 K. The uncertainty is 3% at
? temperatures less than the critical point and 5% in the critical region,
? except for states very near the critical point.
?
!```````````````````````````````````````````````````````````````````````````````
83.8058 !Lower temperature limit [K]
2000.0 !Upper temperature limit [K]
1000000.0 !Upper pressure limit [kPa]
50.65 !Maximum density [mol/L]
2 0 !# terms for dilute gas function: numerator, denominator
150.687 0.001 !Reducing parameters for T, tcx
0.8158 -97.0 !Coefficient, power in T
-0.4320 0.77
7 0 !# terms for background gas function: numerator, denominator
150.687 13.40742965 0.001 !Reducing parameters for T, rho, tcx
13.73 0. 1. 0. !Coefficient, powers of T, rho, exp(rho)
10.07 0. 2. 0.
0.7375 0. 4. 0.
-33.96 -0.8 5. 2.
20.47 -1.2 6. 2.
-2.274 -0.8 9. 2.
-3.973 -0.5 1. 4.
TK3 !Pointer to critical enhancement auxiliary function
#AUX !---Auxiliary function for the thermal conductivity critical enhancement
TK3 !Simplified thermal conductivity critical enhancement for argon of Lemmon and Jacobsen (2004).
?
?```````````````````````````````````````````````````````````````````````````````
?Lemmon, E.W. and Jacobsen, R.T, 2004.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
9 0 0 0 !# terms: terms, spare, spare, spare
1.0 1.0 1.0 !Reducing parameters for T, rho, tcx [mW/(m-K)]
0.63 !Nu (universal exponent)
1.2415 !Gamma (universal exponent)
1.01 !R0 (universal amplitude)
0.065 !Z (universal exponent--not used for t.c., only viscosity)
1.0 !C (constant in viscosity eqn = 1/[2 - (alpha + gamma)/(2*nu)], but often set to 1)
0.13e-9 !Xi0 (amplitude) [m]
0.055 !Gam0 (amplitude) [-]
0.32e-9 !Qd_inverse (modified effective cutoff parameter) [m]
301.374 !Tref (reference temperature) [K]
********************************************************************************
@TCX !---Thermal conductivity---
TC3 !Pure fluid thermal conductivity model for argon of Younglove (1982).
?
?```````````````````````````````````````````````````````````````````````````````
?Younglove, B.A.,
? "Thermophysical Properties of Fluids. I. Argon, Ethylene,
? Parahydrogen, Nitrogen, Nitrogen Trifluoride, and Oxygen,"
? J. Phys. Chem. Ref. Data, Vol. 11, Suppl. 1, pp. 1-11, 1982.
?
!```````````````````````````````````````````````````````````````````````````````
83.8058 !Lower temperature limit [K]
600.0 !Upper temperature limit [K]
100000.0 !Upper pressure limit [kPa]
50.65 !Maximum density [mol/L]
0.3297 !Lennard-Jones coefficient sigma [nm]
152.8 !Lennard-Jones coefficient epsilon/kappa [K]
0.16871158559818 !Const in Eq 20 = 5/16*(k*MW/1000/pi/Na)**0.5*1.0d12
0. !Exponent in Eq 20 for T
0.0264712871543 !Eta0 (eq 20): coeffs of {(e/kT)**((4-n)/3)}
-0.216629583011974
0.709700888884514
-1.21908891344223
1.20168985706305
-0.700084760049098
0.24816605762696
-0.0479479287295
0.00393679190444
9.64428741429e-4 !Coefficient for initial density dependence of viscosity (eq 21); Fv(1)
3.02391316601e-4 !Fv(2)
1. !Fv(3)
152.8 !Fv(4)
-33.327027332 !Coefficients for residual viscosity, eqs (22 - 25)
-355.59415848 !Ev(2)
22.2441164817987 !Ev(3)
1663.62775376509 !Ev(4)
0. !Ev(5)
0. !Ev(6)
0. !Ev(7)
25.0325423049965 !Ev(8)
1.7124 !F
0.00000003669 !Rm
TK3 !Pointer to the critical enhancement auxiliary function
@ETA !---Viscosity---
VS2 !Pure fluid viscosity model for argon of Younglove (1982).
?
?```````````````````````````````````````````````````````````````````````````````
?Younglove, B.A.,
? "Thermophysical Properties of Fluids. I. Argon, Ethylene,
? Parahydrogen, Nitrogen, Nitrogen Trifluoride, and Oxygen,"
? J. Phys. Chem. Ref. Data, Vol. 11, Suppl. 1, pp. 1-11, 1982.
?
!```````````````````````````````````````````````````````````````````````````````
83.8058 !Lower temperature limit [K]
600.0 !Upper temperature limit [K]
100000.0 !Upper pressure limit [kPa]
50.65 !Maximum density [mol/L]
CI2 !Pointer to collision integral model
0.3297 !Lennard-Jones coefficient sigma [nm]
152.8 !Lennard-Jones coefficient epsilon/kappa [K]
0.16871158559818 !Const in Eq 19 = 5/16*(k*MW/1000/pi/Na)**0.5*1.0d12
0.0 !Exponent in Eq 20 for T
0.00585384107393 !Coefficient for initial density dependence of viscosity (eq 21); Fv(1)
-0.0030954676525 !Fv(2)
1.4 !Fv(3)
152.8 !Fv(4)
-12.313579086 !Coefficients for residual viscosity, eqs (22 - 25)
40.136071933 !Ev(2)
11.6160872385243 !Ev(3)
-413.04094973717 !Ev(4)
0.0413624595833 !Ev(5)
7.96883967907912 !Ev(6)
234.196850483958 !Ev(7)
13.4424752177831 !Ev(8)
NUL !Pointer to the viscosity critical enhancement auxiliary function (none used)
@AUX !---Auxiliary function for the collision integral
CI2 !Collision integral model for argon of Younglove (1982).
?
?```````````````````````````````````````````````````````````````````````````````
?Younglove, B.A. (1982).
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
9 !Number of terms
25.7830291943396 0 !eta0 (eq 20): coeffs of {(e/kT)**((4-n)/3)}
-234.320222858983 0
814.636688705024 0
-1452.04353466585 0
1467.17535558104 0
-870.164951237067 0
313.024934147423 0
-61.2072628957372 0
5.07700488990665 0
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
@TRN !---ECS Transport---
ECS !Extended Corresponding States model (Nitrogen reference); predictive mode for argon.
?
?```````````````````````````````````````````````````````````````````````````````
?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(3):208-217, 1997. doi: 10.1016/S0140-7007(96)00073-4.
?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(1):43-63, 2000. doi: 10.1016/S0140-7007(99)00024-9
?
?The Lennard-Jones parameters were 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.
?
!```````````````````````````````````````````````````````````````````````````````
83.8058 !Lower temperature limit [K]
700.0 !Upper temperature limit [K]
1000000.0 !Upper pressure limit [kPa]
50.65 !Maximum density [mol/L]
FEQ NITROGEN.FLD
VS1 !Model for reference fluid viscosity
TC1 !Model for reference fluid thermal conductivity
NUL !Large molecule identifier
1 !Lennard-Jones flag (0 or 1) (0 => use estimates)
0.335 !Lennard-Jones coefficient sigma [nm]
143.2 !Lennard-Jones coefficient epsilon/kappa [K]
1 0 0 !Number of terms in f_int term in Eucken correlation, spare1, spare2
0.00132 0. 0. 0. !Coefficient, power of T, spare1, spare2
1 0 0 !Number of terms in psi (visc shape factor): poly,spare1,spare2
1.0 0. 0. 0. !Coefficient, power of Tr, power of Dr, spare
1 0 0 !Number of terms in chi (t.c. shape factor): poly,spare1,spare2
1.0 0. 0. 0. !Coefficient, power of Tr, power of Dr, spare
TK3 !Pointer to critical enhancement auxiliary function
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#STN !---Surface tension---
ST1 !Surface tension model for argon of Mulero et al. (2012).
:DOI: 10.1063/1.4768782
?
?```````````````````````````````````````````````````````````````````````````````
?Mulero, A., Cachadiña, I., and Parra, M.I.,
? "Recommended Correlations for the Surface Tension of Common Fluids,"
? J. Phys. Chem. Ref. Data, 41(4), 043105, 2012. doi: 10.1063/1.4768782
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1 !Number of terms in surface tension model
150.687 !Critical temperature used in fit (dummy)
0.037 1.25 !Sigma0 and n
#DE !---Dielectric constant---
DE3 !Dielectric constant model for argon of Harvey and Lemmon (2005).
:DOI: 10.1007/s10765-005-2351-5
?
?```````````````````````````````````````````````````````````````````````````````
?Harvey, A.H. and Lemmon, E.W.,
? "Method for Estimating the Dielectric Constant of Natural Gas Mixtures,"
? Int. J. Thermophys., 26(1):31-46, 2005. doi: 10.1007/s10765-005-2351-5 doi: 10.1007/s10765-005-2351-5
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
273.16 1000.0 1.0 !Reducing parameters for T and D
0 1 3 0 0 0 !Number of terms in dielectric constant model
4.1414 0. 1. 0. !Coefficient, T exp, D exp
1.597 0. 2. 0.
0.262 1. 2. 0.
-117.9 0. 3.1 0.
#MLT !---Melting line---
ML1 !Melting line model for argon of Tegeler et al. (1999).
:DOI: 10.1063/1.556037
?
?```````````````````````````````````````````````````````````````````````````````
?Tegeler, Ch., Span, R., and Wagner, W.,
? "A New Equation of State for Argon Covering the Fluid Region for
? Temperatures from the Melting Line to 700 K at Pressures up to 1000 MPa,"
? J. Phys. Chem. Ref. Data, 28(3):779-850, 1999. doi: 10.1063/1.556037
?
!```````````````````````````````````````````````````````````````````````````````
83.8058 !Lower temperature limit [K]
700.0 !Upper temperature limit [K]
0. !
0. !
83.8058 68.891 !Reducing temperature and pressure
5 0 0 0 0 0 !Number of terms in melting line equation
1.0 0.0 !Coefficients and exponents
-7476.26651 1.05
9959.06125 1.275
7476.26651 0.0
-9959.06125 0.0
#SBL !---Sublimation line---
SB3 !Sublimation line model for argon of Lemmon (2002).
:DOI:
?
?```````````````````````````````````````````````````````````````````````````````
?Lemmon, E.W., 2002.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
83.8058 !Upper temperature limit [K]
0. !
0. !
83.8058 68.891 !Reducing temperature and pressure
0 1 0 0 0 0 !Number of terms in sublimation line equation
-11.1307 1. !Coefficients and exponents
#PS !---Vapor pressure---
PS5 !Vapor pressure equation for argon of Tegeler et al. (1999).
?
?```````````````````````````````````````````````````````````````````````````````
?Functional Form: P=Pc*EXP[SUM(Ni*Theta^ti)*Tc/T] where Theta=1-T/Tc, Tc and Pc
? are the reducing parameters below, which are followed by rows containing Ni and ti.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
150.687 4863.0 !Reducing parameters
4 0 0 0 0 0 !Number of terms in equation
-5.9409785 1.0
1.3553888 1.5
-0.4649761 2.0
-1.5399043 4.5
#DL !---Saturated liquid density---
DL4 !Saturated liquid density equation for argon of Tegeler et al. (1999).
?
?```````````````````````````````````````````````````````````````````````````````
?Functional Form: D=Dc*EXP[SUM(Ni*Theta^(ti/3))] where Theta=1-T/Tc, Tc and Dc are
? the reducing parameters below, which are followed by rows containing Ni and ti.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
150.687 13.40742965 !Reducing parameters
4 0 0 0 0 0 !Number of terms in equation
1.5004264 1.002
-0.3138129 2.0
0.086461622 7.0
-0.041477525 12.0
#DV !---Saturated vapor density---
DV6 !Saturated vapor density equation for argon of Lemmon (2010).
?
?```````````````````````````````````````````````````````````````````````````````
?Equation of Tegeler appears to be wrong, and new equation was fitted here.
?
?Functional Form: D=Dc*EXP[SUM(Ni*Theta^(ti/3))*Tc/T] where Theta=1-T/Tc, Tc and Dc are
? the reducing parameters below, which are followed by rows containing Ni and ti.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
150.687 13.40742965 !Reducing parameters
4 0 0 0 0 0 !Number of terms in equation
-1.3721 0.96
-2.9182 2.16
0.097930 3.75
-2.2898 13.02
@END
c 1 2 3 4 5 6 7 8
c2345678901234567890123456789012345678901234567890123456789012345678901234567890
@TCX !Thermal conductivity model specification
TC1 pure fluid thermal conductivity model of Younglove and Hanley (1986).
?
?```````````````````````````````````````````````````````````````````````````````
?Younglove, B.A. and Hanley, H.J.M.,
? "The Viscosity and Thermal Conductivity Coefficients of Gaseous and
? Liquid Argon,"
? J. Phys. Chem. Ref. Data, 15(4):1323-1337, 1986.
?
!```````````````````````````````````````````````````````````````````````````````
83.8058 !Lower temperature limit [K]
700.0 !Upper temperature limit [K]
1000000.0 !Upper pressure limit [kPa]
50.65 !Maximum density [mol/L]
9 0 !# terms for dilute gas function: numerator, denominator
1.0 0.001 !Reducing parameters for T, tcx
-67009.76192 -1. !Coefficient, power in T
61522.55283 -0.666666666667
-20492.18286 -0.333333333333
2216.966254 0.
357.9189325 0.333333333333
-136.4658914 0.666666666667
17.18671649 1.
-1.018933154 1.333333333333
0.02397996932 1.666666666667
11 3 !# terms for background gas function: numerator, denominator
1.0 1.0 0.001 !Reducing parameters for T, rho (rho_c), tcx
1.536300190 0. 1. 0. !Coefficient, powers of T, rho, spare for future use
-233.2533199 -1. 1. 0.
-0.03027085824 0. 2. 0.
18.96279196 -1. 2. 0.
10.54230664 -2. 2. 0.
0.2588139028e-4 0. 3. 0.
-0.4546798772 -1. 3. 0.
4.320206998 -2. 3. 0.
0.1593643304e-4 0. 4. 0.
0.0001262253904 -1. 4. 0.
-0.002937213042 -2. 4. 0.
1.0 0. 0. 0.
-0.02262773007 0. 1. 0.
-0.1445619495 -1. 1. 0.
TK4 !Pointer to critical enhancement auxiliary function
@AUX !---Thermal conductivity critical enhancement model
TK4 thermal conductivity critical enhancement
?
?```````````````````````````````````````````````````````````````````````````````
?Younglove, B.A. and Hanley, H.J.M., 1986.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
6 0 0 0 !# terms
150.86 4905.8 13.41 0.001 !Reducing parameters for T, rho, tcx [mW/(m-K)]
1.02
1.380658e-23
0.46807
39.8
5.45
0.60795
@TCX !Thermal conductivity model specification
TC1 pure fluid thermal conductivity model of Perkins et al. (1991).
?
?```````````````````````````````````````````````````````````````````````````````
?Perkins, R.A., Friend, D.G., Roder, H.M., and Nieto de Castro, C.A.,
? "Thermal Conductivity Surface of Argon: A Fresh Analysis,"
? Int. J. Thermophys., 12(6):965-984, 1991. doi: 10.1007/BF00503513
?
?The uncertainty in thermal conductivity is 2.2%.
?
!```````````````````````````````````````````````````````````````````````````````
55.0 !Lower temperature limit [K]
2500.0 !Upper temperature limit [K]
1000000.0 !Upper pressure limit [kPa]
50.65 !Maximum density [mol/L]
9 0 !# terms for dilute gas function: numerator, denominator
1.0 0.001 !Reducing parameters for T, tcx
12250.67272 -1. !Coefficient, power in T
-9096.222831 -0.66666666666666
2744.958263 -0.33333333333333
-417.0419051 0.
25.27591169 0.33333333333333
1.604421067 0.66666666666666
-0.2618841031 1.
0.01381696924 1.33333333333333
-0.0002463115922 1.66666666666666
4 0 !# terms for background gas function: numerator, denominator
1.0 1. 1. !Reducing parameters for T, rho (rho_c), tcx
0.000757894 0. 1. 0. !Coefficient, powers of T, rho, spare for future use
0.612624e-4 0. 2. 0.
-0.205353e-5 0. 3. 0.
0.745621e-7 0. 4. 0.
TK4 !Pointer to critical enhancement auxiliary function
!The following model was moved here on 2/24/2016 because the VS3 model was changed
! and this one will no longer work with version 9.2 and higher.
@ETA !Viscosity model specification
VS3 pure fluid viscosity model of Younglove and Hanley (1986).
?
?```````````````````````````````````````````````````````````````````````````````
?Younglove, B.A. and Hanley, H.J.M.,
? "The Viscosity and Thermal Conductivity Coefficients of Gaseous and Liquid Argon,"
? J. Phys. Chem. Ref. Data, 15(4):1323-1337, 1986. doi: 10.1063/1.555765
?
?The uncertainty in viscosity is 2% below 100 MPa and 3% for higher pressures.
?
!```````````````````````````````````````````````````````````````````````````````
55.0 !Lower temperature limit [K]
2500.0 !Upper temperature limit [K]
1000000.0 !Upper pressure limit [kPa]
50.65 !Maximum density [mol/L]
9 0 !# terms for dilute gas function: numerator, denominator
1.0 1.0 !Reducing parameters for T, eta
-89731.88257 -1.0 !Coefficient, power in T
82591.13473 -0.666666666667
-27664.75915 -0.333333333333
3068.539784 0.0
455.3103615 0.333333333333
-179.3443839 0.666666666667
22.72225106 1.0
-1.350672796 1.333333333333
0.0318369323 1.666666666667
11 3 !# terms for background gas function: numerator, denominator
1.0 1.0 1.0 !Reducing parameters for T, rho (rho_c), eta
0.5927733783 0. 1. 0. 0 !Coefficient, powers of T, rho, spare for future use
-42.51221169 -1. 1. 0. 0
-0.02698477165 0. 2. 0. 0
37.27762288 -1. 2. 0. 0
-3958.508720 -2. 2. 0. 0
0.003636730841 0. 3. 0. 0
-2.633471347 -1. 3. 0. 0
293.6563322 -2. 3. 0. 0
-0.3811869019e-4 0. 4. 0. 0
0.04451947464 -1. 4. 0. 0
-5.385874487 -2. 4. 0. 0
1.0 0. 0. 0. 0
-0.01115054926 0. 1. 0. 0
-1.328893444 -1. 1. 0. 0
TK3 !Pointer to critical enhancement auxiliary function