988 lines
48 KiB
Plaintext
988 lines
48 KiB
Plaintext
Nitrogen !Short name
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7727-37-9 !CAS number
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Nitrogen !Full name
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N2 !Chemical formula {N2}
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R-728 !Synonym
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28.01348 !Molar mass [g/mol]
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63.151 !Triple point temperature [K]
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77.355 !Normal boiling point [K]
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126.192 !Critical temperature [K]
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3395.8 !Critical pressure [kPa]
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11.1839 !Critical density [mol/L]
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0.0372 !Acentric factor
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0.0 !Dipole moment [Debye]; (exactly zero due to symmetry)
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OT0 !Default reference state
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298.15 101.325 8670.0 191.5 !Tref, Pref, Href, Sref
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10.0 !Version number
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1066, 1977 !UN Number :UN:
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cryogen !Family :Family:
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0.0 !Heating value (upper) [kJ/mol] :Heat:
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A1 !Safety Group (ASHRAE Standard 34, 2010) :Safety:
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1S/N2/c1-2 !Standard InChI String :InChi:
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IJGRMHOSHXDMSA-UHFFFAOYSA-N !Standard InChI Key :InChiKey:
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ed016370 (argon) !Alternative fluid for mixing rules :AltID:
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edbdc8e0 !Hash number from InChI Key :Hash:
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!The fluid files contain general information about the fluid in the first 15 to 20 lines, followed by sections for the
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! equations of state, transport equations, and auxiliary equations. Equations of state are listed first. The NIST recommended
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! equations begin with a hash mark (#). The secondary equations begin with the @ symbol. These symbols can be swapped to
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! select a secondary equation as primary and the primary as secondary. The equation of state section also contains auxiliary
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! equations for the ideal gas heat capacity or ideal gas Helmholtz energy. Below the equations of state (both primary and
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! secondary) are the transport equations, first viscosity and then thermal conductivity. These are then followed by the
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! secondary equations if available. The transport section also contains auxiliary equations required to calculate either the
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! dilute gas state or the critical enhancement. At the end of the file are additional but not necessary auxiliary equations,
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! including simple equations for the vapor pressure, saturated liquid and vapor densities, melting line (for some fluids), and
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! sublimation line (for even fewer fluids). This section also contains the equations for dielectric constant and surface
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! tension if available. The sections are divided by different symbols (these being _-+=^*~) to aid the eye in locating a
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! particular section. Secondary equations are indented 10 spaces to avoid confusion with the NIST recommended equations. The
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! end of the fluid file is marked with @END. Anything below that is ignored.
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! compiled by M. McLinden, NIST Physical and Chemical Properties Division, Boulder, Colorado
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! 11-04-96 MM, Original version.
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! 12-04-97 EWL, Add Span equation of state.
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! 06-24-98 EWL, Add Younglove BWR equation.
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! 06-26-98 EWL, Add Younglove transport equations.
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! 10-27-99 EWL, Add Span 12 term equation.
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! 11-09-99 EWL, Add Lemmon and Jacobsen viscosity and t.c. equation.
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! 11-15-99 EWL, Add sublimation line.
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! 11-26-02 EWL, Change reference state to OT0 with values from CODATA.
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! 06-10-03 EWL, Finalize transport equations.
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! 08-05-04 EWL, Add Harvey and Lemmon dielectric correlation.
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! 11-18-04 MLH, Add tPr coeff.
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! 04-08-05 EWL, Change lower limit from 55 to 50 for transport equations.
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! 12-02-06 MLH, Update LJ for ECS.
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! 12-06-12 EWL, Add surface tension coefficients of Mulero et al. (2012).
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! 06-08-16 EWL, Fix wrong sign on first hyperbolic term of the Kunz PHK equation.
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! 08-06-17 EWL, Change melting point at Ttrp to match triple point pressure of Span et al.
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________________________________________________________________________________
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#EOS !---Equation of state---
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FEQ !Helmholtz equation of state for nitrogen of Span et al. (2000).
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:TRUECRITICALPOINT: 126.192 11.1839 !True EOS critical point [K, mol/L] (where dP/dD=0 and d^2P/dD^2=0 at constant T)
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:DOI: 10.1063/1.1349047
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Span, R., Lemmon, E.W., Jacobsen, R.T, Wagner, W., and Yokozeki, A.,
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? "A Reference Equation of State for the Thermodynamic Properties of
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? Nitrogen for Temperatures from 63.151 to 1000 K and Pressures to 2200 MPa,"
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? J. Phys. Chem. Ref. Data, 29(6):1361-1433, 2000.
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?
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?see also: Int. J. Thermophys., 19(4):1121-1132, 1998.
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?
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?The uncertainty in density of the equation of state is 0.02% from the
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? triple point up to temperatures of 523 K and pressures up to 12 MPa and
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? from temperatures of 240 to 523 K at pressures less than 30 MPa. In the
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? range from 270 to 350 K at pressures less than 12 MPa, the uncertainty
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? in density is 0.01%. The uncertainty at very high pressures (>1 GPa) is
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? 0.6% in density. The uncertainty in pressure in the critical region is
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? estimated to be 0.02%. In the gaseous and supercritical region, the
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? speed of sound can be calculated with a typical uncertainty of 0.005% to
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? 0.1%. At liquid states and at high pressures, the uncertainty increases
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? to 0.5% - 1.5%. For pressures up to 30 MPa, the estimated uncertainty
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? for heat capacities ranges from 0.3% at gaseous and gas like supercritical
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? states up to 0.8% at liquid states and at certain gaseous and supercritical
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? states at low temperatures. The uncertainty is 2% for pressures up to
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? 200 MPa and larger at higher pressures. The estimated uncertainties of
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? vapor pressure, saturated liquid density, and saturated vapor density
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? are in general 0.02% for each property. The formulation yields a
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? reasonable extrapolation behavior up to the limits of chemical stability
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? of nitrogen.
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?
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!```````````````````````````````````````````````````````````````````````````````
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63.151 !Lower temperature limit [K]
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2000.0 !Upper temperature limit [K]
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2200000.0 !Upper pressure limit [kPa]
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53.15 !Maximum density [mol/L]
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CPP !Pointer to Cp0 model
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28.01348 !Molar mass [g/mol]
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63.151 !Triple point temperature [K]
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12.5198 !Pressure at triple point [kPa]
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30.957 !Density at triple point [mol/L]
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77.3550 !Normal boiling point temperature [K]
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0.0372 !Acentric factor
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126.192 3395.8 11.1839 !Tc [K], pc [kPa], rhoc [mol/L]
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126.192 11.1839 !Reducing parameters [K, mol/L]
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8.31451 !Gas constant [J/mol-K]
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32 4 4 12 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms
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0.924803575275 0.25 1. 0. !a(i),t(i),d(i),l(i)
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-0.492448489428 0.875 1. 0.
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0.661883336938 0.5 2. 0.
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-1.92902649201 0.875 2. 0.
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-0.0622469309629 0.375 3. 0.
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0.349943957581 0.75 3. 0.
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0.564857472498 0.5 1. 1.
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-1.61720005987 0.75 1. 1.
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-0.481395031883 2.0 1. 1.
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0.421150636384 1.25 3. 1.
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-0.0161962230825 3.5 3. 1.
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0.172100994165 1.0 4. 1.
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0.00735448924933 0.5 6. 1.
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0.0168077305479 3.0 6. 1.
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-0.00107626664179 0.0 7. 1.
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-0.0137318088513 2.75 7. 1.
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0.000635466899859 0.75 8. 1.
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0.00304432279419 2.5 8. 1.
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-0.0435762336045 4.0 1. 2.
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-0.0723174889316 6.0 2. 2.
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0.0389644315272 6.0 3. 2.
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-0.021220136391 3.0 4. 2.
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0.00408822981509 3.0 5. 2.
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-0.551990017984e-4 6.0 8. 2.
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-0.0462016716479 16.0 4. 3.
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-0.00300311716011 11.0 5. 3.
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0.0368825891208 15.0 5. 3.
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-0.0025585684622 12.0 8. 3.
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0.00896915264558 12.0 3. 4.
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-0.0044151337035 7.0 5. 4.
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0.00133722924858 4.0 6. 4.
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0.000264832491957 16.0 9. 4.
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19.6688194015 0.0 1. 2. 2. -20.0 -325.0 1.16 1.0 0. 0. 0.
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-20.911560073 1.0 1. 2. 2. -20.0 -325.0 1.16 1.0 0. 0. 0.
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0.0167788306989 2.0 3. 2. 2. -15.0 -300.0 1.13 1.0 0. 0. 0.
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2627.67566274 3.0 2. 2. 2. -25.0 -275.0 1.25 1.0 0. 0. 0.
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eta beta gamma epsilon
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EXP[eta*(delta-epsilon)^2+beta*(tau-gamma)^2]
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#AUX !---Auxiliary function for Cp0
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CPP !Ideal gas heat capacity function for nitrogen of Span et al. (2000).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Span, R., Lemmon, E.W., Jacobsen, R.T, Wagner, W., and Yokozeki, A., 2000.
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?
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!```````````````````````````````````````````````````````````````````````````````
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0. !
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10000. !
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0. !
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0. !
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1.0 8.31451 !Reducing parameters for T, Cp0
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4 1 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
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3.5 0.0
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3.066469e-6 1.0
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4.70124e-9 2.0
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-3.987984e-13 3.0
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1.012941 3364.011
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#AUX !---Auxiliary function for PX0
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PX0 !Helmholtz energy ideal-gas function for nitrogen of Span et al. (2000).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Span, R., Lemmon, E.W., Jacobsen, R.T, Wagner, W., and Yokozeki, A., 2000.
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?
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!```````````````````````````````````````````````````````````````````````````````
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1 5 1 0 0 0 0 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau))
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2.5 1.0 !ai, ti for [ai*log(tau**ti)] terms
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-12.7695270804627707 0.0 !aj, ti for [ai*tau**ti] terms
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-0.0078416296806012 1.0 !aj, ti for [ai*tau**ti] terms
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3.066469e-6 -1.0
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4.70124e-9 -2.0
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-3.987984e-13 -3.0
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1.012941 3364.011 !aj, ti for [ai*log(1-exp(-ti/T)] terms
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#AUX !---Auxiliary function for PH0
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PH0 !Ideal gas Helmholtz form for nitrogen.
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Span, R., Lemmon, E.W., Jacobsen, R.T, Wagner, W., and Yokozeki, A., 2000.
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?
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!```````````````````````````````````````````````````````````````````````````````
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0. !
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10000. !
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0. !
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0. !
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1 5 1 0 0 0 0 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau)); cosh; sinh
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2.5 1.0 !ai, ti for [ai*log(tau**ti)] terms
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-12.7695270805 0.0 !aj, ti for [ai*tau**ti] terms
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-0.0078416297 1.0
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-0.0001934819 -1.0
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-0.0000124774 -2.0
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0.0000000668 -3.0
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1.012941 -26.6578784709 !aj, ti for [ai*log(1-exp(ti*tau)] terms
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--------------------------------------------------------------------------------
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@EOS !---Equation of state---
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FEK !Helmholtz equation of state for nitrogen of Kunz and Wagner (2004).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Kunz, O., Klimeck, R., Wagner, W., Jaeschke, M.
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? "The GERG-2004 Wide-Range Equation of State for Natural Gases
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? and Other Mixtures," GERG Technical Monograph 15,
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? Fortschritt-Berichte VDI, VDI-Verlag, Düsseldorf, 2007.
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?
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!```````````````````````````````````````````````````````````````````````````````
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63.151 !Lower temperature limit [K]
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2000.0 !Upper temperature limit [K]
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2200000.0 !Upper pressure limit [kPa]
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53.15 !Maximum density [mol/L]
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PHK !Pointer to Cp0 model
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28.0134 !Molar mass [g/mol]
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63.151 !Triple point temperature [K]
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12.523 !Pressure at triple point [kPa]
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30.954 !Density at triple point [mol/L]
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77.36 !Normal boiling point temperature [K]
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0.0373 !Acentric factor
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126.192 3395.8 11.1839 !Tc [K], pc [kPa], rhoc [mol/L]
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126.192 11.1839 !Reducing parameters [K, mol/L]
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8.314472 !Gas constant [J/mol-K]
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24 4 0 0 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms
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0.59889711801201 0.125 1. 0.
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-1.6941557480731 1.125 1. 0.
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0.24579736191718 0.375 2. 0.
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-0.23722456755175 1.125 2. 0.
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0.017954918715141 0.625 4. 0.
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0.014592875720215 1.5 4. 0.
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0.10008065936206 0.625 1. 1.
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0.73157115385532 2.625 1. 1.
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-0.88372272336366 2.75 1. 1.
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0.31887660246708 2.125 2. 1.
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0.20766491728799 2.0 3. 1.
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-0.019379315454158 1.75 6. 1.
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-0.16936641554983 4.50 2. 2.
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0.13546846041701 4.75 3. 2.
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-0.033066712095307 5.0 3. 2.
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-0.060690817018557 4.0 4. 2.
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0.012797548292871 4.5 4. 2.
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0.0058743664107299 7.5 2. 3.
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-0.018451951971969 14.0 3. 3.
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0.0047226622042472 11.5 4. 3.
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-0.0052024079680599 26.0 5. 6.
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0.043563505956635 28.0 6. 6.
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-0.036251690750939 30.0 6. 6.
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-0.0028974026866543 16.0 7. 6.
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@AUX !---Auxiliary function for PH0
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PHK !Ideal gas Helmholtz form for nitrogen of Kunz and Wagner (2004).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Kunz, O., Klimeck, R., Wagner, W., Jaeschke, M.
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?
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!```````````````````````````````````````````````````````````````````````````````
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0. !
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10000. !
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0. !
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0. !
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1 2 0 1 2 0 0 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau)); cosh; sinh
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2.50031 1.0 !ai, ti for [ai*log(tau**ti)] terms
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11.083407489 0.0 !aj, ti for [ai*tau**ti] terms
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-22.202102428 1.0
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0.1466 5.393067706 !aj, ti for cosh and sinh terms
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0.13732 5.25182262
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0.90066 13.788988208
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@EOS !---Equation of state---
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FE1 !Helmholtz equation of state for nitrogen of Jacobsen et al. (1986).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Jacobsen, R.T, Stewart, R.B., and Jahangiri, M.,
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? "Thermodynamic properties of nitrogen from the freezing line to 2000 K at
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? pressures to 1000 MPa,"
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? J. Phys. Chem. Ref. Data, 15(2):735-909, 1986.
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?
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!```````````````````````````````````````````````````````````````````````````````
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63.148 !Lower temperature limit [K]
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2000.0 !Upper temperature limit [K]
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1000000.0 !Upper pressure limit [kPa]
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30.96 !Maximum density [mol/L]
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CP1 !Pointer to Cp0 model
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28.0134 !Molar mass [g/mol]
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63.148 !Triple point temperature [K]
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12.52 !Pressure at triple point [kPa]
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31.046 !Density at triple point [mol/L]
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77.348 !Normal boiling point temperature [K]
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0.03701 !Acentric factor
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126.193 3397.8 11.177 !Tc [K], pc [kPa], rhoc [mol/L]
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126.193 11.177 !Reducing parameters [K, mol/L]
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8.31434 !Gas constant [J/mol-K]
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28 4 0 0 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms
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0.9499541827 0.25 1. 0. !a(i),t(i),d(i),l(i)
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0.2481718513 0.25 2. 0.
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-0.2046287122 0.25 3. 0.
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-0.1748429008 0.5 2. 0.
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0.6387017148 0.5 3. 0.
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-0.5272986168 0.75 3. 0.
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-2.049741504 1.0 1. 0.
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0.05551383553 1.0 4. 0.
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-0.0008191106396 1.0 6. 0.
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-0.05032519699 1.0 2. 2.
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0.2650110798 1.5 1. 0.
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0.07311459372 2.0 2. 0.
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-0.02813080718 2.0 4. 0.
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0.001659823569 2.0 6. 0.
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0.06012817812 2.0 2. 2.
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-0.3785445194 3.0 1. 0.
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0.1895290433 3.0 2. 0.
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-0.007001895093 3.0 4. 0.
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-0.04927710927 3.0 1. 3.
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0.06512013679 4.0 4. 2.
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0.1138121942 4.0 1. 3.
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-0.0955140963197 5.0 2. 2.
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0.0211835414 6.0 4. 2.
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-0.01100721771 8.0 2. 4.
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0.0128443221 14.0 4. 4.
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-0.0105447491 18.0 4. 4.
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-0.0001484600538 20.0 2. 4.
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-0.005806483467 22.0 3. 3.
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@AUX !---Auxiliary function for Cp0
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CP1 !Ideal gas heat capacity function for nitrogen of Jacobsen et al.
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Jacobsen, R.T, Stewart, R.B., and Jahangiri, M.,
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?
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!```````````````````````````````````````````````````````````````````````````````
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0. !
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10000. !
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0. !
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0. !
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1.0 8.31434 !Reducing parameters for T, Cp0
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7 1 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
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-837.079888737 -3.0
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37.9147114487 -2.0
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-0.601737844275 -1.0
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3.50418363823 0.0
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-0.00000874955653028 1.0
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0.148958507239e-7 2.0
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-0.256370354277e-11 3.0
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1.00773735767 3353.4061 !Exponential term
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@EOS !---Equation of state---
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FES !Helmholtz equation of state for nitrogen of Span and Wagner (2003).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Span, R. and Wagner, W.
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? "Equations of State for Technical Applications. II. Results for Nonpolar Fluids,"
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? Int. J. Thermophys., 24(1):41-109, 2003. doi: 10.1023/A:1022310214958
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?
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?The uncertainties of the equation of state are approximately 0.2% (to
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? 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.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
63.151 !Lower temperature limit [K]
|
|
600.0 !Upper temperature limit [K]
|
|
100000.0 !Upper pressure limit [kPa]
|
|
53.15 !Maximum density [mol/L]
|
|
CPP !Pointer to Cp0 model
|
|
28.013 !Molar mass [g/mol]
|
|
63.151 !Triple point temperature [K]
|
|
12.566 !Pressure at triple point [kPa]
|
|
30.935 !Density at triple point [mol/L]
|
|
77.356 !Normal boiling point temperature [K]
|
|
0.037 !Acentric factor
|
|
126.192 3396.0 11.1839 !Tc [K], pc [kPa], rhoc [mol/L]
|
|
126.192 11.1839 !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
|
|
0.92296567 0.25 1. 0. !a(i),t(i),d(i),l(i)
|
|
-2.5575012 1.125 1. 0.
|
|
0.64482463 1.5 1. 0.
|
|
0.01083102 1.375 2. 0.
|
|
0.073924167 0.25 3. 0.
|
|
0.00023532962 0.875 7. 0.
|
|
0.18024854 0.625 2. 1.
|
|
-0.045660299 1.75 5. 1.
|
|
-0.1552106 3.625 1. 2.
|
|
-0.03811149 3.625 4. 2.
|
|
-0.031962422 14.5 3. 3.
|
|
0.015513532 12.0 4. 3.
|
|
|
|
|
|
@EOS !---Equation of state---
|
|
BWR !MBWR equation of state for nitrogen 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.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
63.15 !Lower temperature limit [K]
|
|
1900.0 !Upper temperature limit [K]
|
|
1013000.0 !Upper pressure limit [kPa]
|
|
30.977 !Maximum density [mol/L]
|
|
CP2 !Pointer to Cp0 model
|
|
28.013 !Molar mass [g/mol]
|
|
63.15 !Triple point temperature [K]
|
|
12.463 !Pressure at triple point [kPa]
|
|
30.977 !Density at triple point [mol/L]
|
|
77.348 !Normal boiling point temperature [K]
|
|
0.03701 !Acentric factor
|
|
126.26 3399.08 11.21 !Tc [K], pc [kPa], rhoc [mol/L]
|
|
126.26 11.21 !Reducing parameters [K, mol/L]
|
|
13.3630620956 !gamma
|
|
0.0831411 !Gas constant [L-bar/mol-K]
|
|
32 1 !Nterm, Ncoeff per term
|
|
0.001380297474657 0.1084506501349 -2.471324064362
|
|
34.55257980807 -4279.707690666 0.0001064911566998
|
|
-0.01140867079735 0.0001444902497287 18714.57567553
|
|
0.8218876886831e-7 0.002360990493348 -0.5144803081201
|
|
0.4914545013668e-4 -0.001151627162399 -0.716803724665
|
|
0.76166676195e-4 -0.1130930066213e-5 0.0003736831166831
|
|
-0.2039851507581e-5 -17196.6200899 -121305.5199748
|
|
-98.81399141428 56198.86893511 -0.1823043964118
|
|
-2.599826498477 -0.0004191893423157 -0.259640667053
|
|
-0.1258683201921e-6 0.10492865994e-4 -0.5458369305152e-9
|
|
-0.7674511670597e-8 0.5931232870994e-7
|
|
|
|
|
|
@AUX !---Auxiliary function for Cp0
|
|
CP2 !Ideal gas heat capacity function for nitrogen of Younglove.
|
|
?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Younglove, B.A.,
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
0. !
|
|
10000. !
|
|
0. !
|
|
0. !
|
|
1.0 8.31434 !Reducing parameters for T, Cp0
|
|
7 1 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
|
|
-735.2104011573 -3.0
|
|
34.2239980412 -2.0
|
|
-0.5576482845676 -1.0
|
|
3.504042283088 0.0
|
|
-0.0000173390185081 1.0
|
|
0.1746508497665e-7 2.0
|
|
-0.3568920335443e-11 3.0
|
|
1.005387228088 3353.4061
|
|
|
|
|
|
@EOS !---Cubic equation of state---
|
|
PRT !Translated Peng-Robinson equation for nitrogen.
|
|
?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Volume translation of Peng Robinson EOS.
|
|
? Translation computed so that sat. liquid density at Tr=0.7 matches FEQ Helmholtz equation
|
|
? of state for N2 of Span et al. (2000).
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
55.0 !Lower temperature limit [K]
|
|
2000.0 !Upper temperature limit [K]
|
|
2200000.0 !Upper pressure limit [kPa]
|
|
53.15 !Maximum density [mol/L]
|
|
CPP !Pointer to Cp0 model
|
|
28.01348 !Molar mass [g/mol]
|
|
0.0372 !Acentric factor
|
|
126.192 !Critical temperature [K]
|
|
3395.8 !Critical pressure [kPa]
|
|
11.1839 !Critical density [mol/L]
|
|
8.314472 !Gas constant [J/mol-K]
|
|
1 !Number of parameters
|
|
-0.004032
|
|
|
|
|
|
|
|
|
|
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
|
|
|
|
#ETA !---Viscosity---
|
|
VS1 !Pure fluid viscosity model for nitrogen 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.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
50.0 !Lower temperature limit [K]
|
|
2000.0 !Upper temperature limit [K]
|
|
2200000.0 !Upper pressure limit [kPa]
|
|
53.15 !Maximum density [mol/L]
|
|
1 !Number of terms associated with dilute-gas function
|
|
CI1 !Pointer to reduced effective collision cross-section model
|
|
0.3656 !Lennard-Jones coefficient sigma [nm]
|
|
98.94 !Lennard-Jones coefficient epsilon/kappa [K]
|
|
1.0 1.0 !Reducing parameters for T, eta
|
|
0.141294895 0.5 !Chapman-Enskog term
|
|
0 !Number of terms for initial density dependence
|
|
0 5 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
|
|
126.192 11.1839 1.0 !Reducing parameters for T, rho, eta
|
|
10.72 -0.1 2. 0. 0 !Simple polynomial terms
|
|
0.03989 -0.25 10. 0. 1
|
|
0.001208 -3.2 12. 0. 1
|
|
-7.402 -0.9 2. 0. 2
|
|
4.620 -0.3 1. 0. 3
|
|
NUL !Pointer to the viscosity critical enhancement auxiliary function (none used)
|
|
|
|
|
|
#AUX !---Auxiliary function for the collision integral
|
|
CI1 !Collision integral model for nitrogen 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 nitrogen 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 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 150 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.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
50.0 !Lower temperature limit [K]
|
|
2000.0 !Upper temperature limit [K]
|
|
2200000.0 !Upper pressure limit [kPa]
|
|
53.15 !Maximum density [mol/L]
|
|
3 0 !# terms for dilute gas function: numerator, denominator
|
|
126.192 0.001 !Reducing parameters for T, tcx
|
|
1.511 -97.0 !Coefficient, power in T
|
|
2.117 1.
|
|
-3.332 0.7
|
|
6 0 !# terms for background gas function: numerator, denominator
|
|
126.192 11.1839 0.001 !Reducing parameters for T, rho, tcx
|
|
8.862 0. 1. 0. !Coefficient, powers of T, rho, exp(rho)
|
|
31.11 -0.03 2. 0.
|
|
-73.13 -0.2 3. 1.
|
|
20.03 -0.8 4. 2.
|
|
-0.7096 -0.6 8. 2.
|
|
0.2672 -1.9 10. 2.
|
|
TK3 !Pointer to critical enhancement auxiliary function
|
|
|
|
|
|
#AUX !---Auxiliary function for the thermal conductivity critical enhancement
|
|
TK3 !Simplified thermal conductivity critical enhancement for nitrogen 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)
|
|
0.17e-9 !Xi0 (amplitude) [m]
|
|
0.055 !Gam0 (amplitude) [-]
|
|
0.4e-9 !Qd_inverse (modified effective cutoff parameter) [m]
|
|
252.384 !Tref (reference temperature) [K]
|
|
|
|
|
|
|
|
|
|
********************************************************************************
|
|
|
|
@TCX !---Thermal conductivity---
|
|
TC3 !Pure fluid thermal conductivity model for nitrogen 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.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
63.151 !Lower temperature limit [K]
|
|
2000.0 !Upper temperature limit [K]
|
|
2200000.0 !Upper pressure limit [kPa]
|
|
53.15 !Maximum density [mol/L]
|
|
0.354 !Lennard-Jones coefficient sigma [nm]
|
|
118.0 !Lennard-Jones coefficient epsilon/kappa [K]
|
|
0.141286429751707 !Const in Eq 20 = 5/16*(k*MW/1000/pi/Na)**0.5*1.0d12
|
|
0. !Exponent in Eq 20 for T
|
|
-0.15055520615565 !Eta0 (eq 20): coeffs of {(e/kT)**((4-n)/3)}
|
|
0.183477124982509
|
|
1.45008451566007
|
|
-4.88031780663869
|
|
6.68390592664363
|
|
-4.90242883649539
|
|
2.02630917877999
|
|
-0.439826733340102
|
|
0.0391906706514
|
|
0.0015093806765 !Coefficient for initial density dependence of viscosity (eq 21); Fv(1)
|
|
1.70975795748e-4 !Fv(2)
|
|
1.2 !Fv(3)
|
|
118. !Fv(4)
|
|
-38.613291627 !Coefficients for residual viscosity, eqs (22 - 25)
|
|
-31.826109485 !Ev(2)
|
|
26.0197970589236 !Ev(3)
|
|
-27.2869897441495 !Ev(4)
|
|
0. !Ev(5)
|
|
0. !Ev(6)
|
|
0. !Ev(7)
|
|
35.6938892061679 !Ev(8)
|
|
1.67108 !F
|
|
0.00000003933 !Rm
|
|
NUL !Pointer to the viscosity critical enhancement auxiliary function (none used)
|
|
|
|
|
|
@ETA !---Viscosity---
|
|
VS2 !Pure fluid viscosity model for nitrogen of Younglove (1982).
|
|
?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Younglove, B.A.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
63.151 !Lower temperature limit [K]
|
|
2000.0 !Upper temperature limit [K]
|
|
2200000.0 !Upper pressure limit [kPa]
|
|
53.15 !Maximum density [mol/L]
|
|
CI2 !Pointer to collision integral model
|
|
0.354 !Lennard-Jones coefficient sigma [nm]
|
|
118.0 !Lennard-Jones coefficient epsilon/kappa [K]
|
|
0.141286429751707 !Const in Eq 19 = 5/16*(k*MW/1000/pi/Na)**0.5*1.0d12
|
|
0. !Exponent in Eq 20 for T
|
|
-0.00314276193277 !Coefficient for initial density dependence of viscosity (eq 21); Fv(1)
|
|
9.22071479907e-4 !Fv(2)
|
|
1.4 !Fv(3)
|
|
118. !Fv(4)
|
|
-12.128154129 !Coefficients for residual viscosity, eqs (22 - 25)
|
|
68.46443564 !Ev(2)
|
|
11.2569594404402 !Ev(3)
|
|
-565.76279020055 !Ev(4)
|
|
0.0956677570672 !Ev(5)
|
|
-0.355533724265011 !Ev(6)
|
|
618.536783201947 !Ev(7)
|
|
11.2435750999429 !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 nitrogen of Younglove (1982).
|
|
?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Younglove, B.A.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
0. !
|
|
10000. !
|
|
0. !
|
|
0. !
|
|
9 !Number of terms
|
|
-136.985150760851 0 !eta0 (eq 20): coeffs of {(e/kT)**((4-n)/3)}
|
|
734.241371453542 0
|
|
-1655.39131952744 0
|
|
2062.67809686969 0
|
|
-1579.52439123889 0
|
|
777.942880032361 0
|
|
-232.996787901831 0
|
|
40.0691427576552 0
|
|
-2.99482706239363 0
|
|
|
|
|
|
|
|
|
|
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
|
|
|
|
@TRN !---ECS Transport---
|
|
ECS !Extended Corresponding States model (Nitrogen reference); predictive mode for nitrogen.
|
|
?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?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 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.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
63.151 !Lower temperature limit [K]
|
|
2000.0 !Upper temperature limit [K]
|
|
1000000.0 !Upper pressure limit [kPa]
|
|
53.15 !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)
|
|
0.3656 !Lennard-Jones coefficient sigma [nm]
|
|
98.94 !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 nitrogen 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
|
|
126.192 !Critical temperature used in fit (dummy)
|
|
0.02898 1.246 !Sigma0 and n
|
|
|
|
|
|
#DE !---Dielectric constant---
|
|
DE3 !Dielectric constant model for nitrogen of Harvey and Lemmon (2005).
|
|
:DOI: 10.1007/s10765-005-2351-5
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Harvey, A.H. and Lemmon, E.W.,
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? "Method for Estimating the Dielectric Constant of Natural Gas Mixtures,"
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? Int. J. Thermophys., 26(1):31-46, 2005. doi: 10.1007/s10765-005-2351-5
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?
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!```````````````````````````````````````````````````````````````````````````````
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0. !
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10000. !
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0. !
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0. !
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273.16 1000.0 1.0 !Reducing parameters for T and D
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0 2 4 0 0 0 !Number of terms in dielectric constant model
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4.3872 0. 1. 0. !Coefficient, T exp, D exp
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0.00226 1. 1. 0.
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2.206 0. 2. 0.
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1.135 1. 2. 0.
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-169.0 0. 3.1 0.
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-35.83 1. 3.1 0.
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#MLT !---Melting line---
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ML1 !Melting line model for nitrogen of Span et al. (2000).
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:DOI: 10.1063/1.1349047
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Span, R., Lemmon, E.W., Jacobsen, R.T, Wagner, W., and Yokozeki, A.,
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? "A Reference Equation of State for the Thermodynamic Properties of
|
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? Nitrogen for Temperatures from 63.151 to 1000 K and Pressures to 2200 MPa,"
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? J. Phys. Chem. Ref. Data, 29(6):1361-1433, 2000.
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?
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?see also: Int. J. Thermophys., 19(4):1121-1132, 1998.
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?
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!```````````````````````````````````````````````````````````````````````````````
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63.151 !Lower temperature limit [K]
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2000.0 !Upper temperature limit [K]
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0. !
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0. !
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63.151 12.5198 !Reducing temperature and pressure
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3 0 0 0 0 0 !Number of terms in melting line equation
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1.0 0.0 !Coefficients and exponents
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12798.61 1.78963
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-12798.61 0.0
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#SBL !---Sublimation line---
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SB3 !Sublimation line model for nitrogen of Lemmon (1999).
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:DOI:
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Lemmon, E.W., 1999.
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?
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!```````````````````````````````````````````````````````````````````````````````
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0. !
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63.151 !Upper temperature limit [K]
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0. !
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0. !
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63.151 12.523 !Reducing temperature and pressure
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0 1 0 0 0 0 !Number of terms in sublimation line equation
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-13.088692 1. !Coefficients and exponents
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#PS !---Vapor pressure---
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PS5 !Vapor pressure equation for nitrogen of Span et al. (2000).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Functional Form: P=Pc*EXP[SUM(Ni*Theta^ti)*Tc/T] where Theta=1-T/Tc, Tc and Pc
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? are the reducing parameters below, which are followed by rows containing Ni and ti.
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?
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!```````````````````````````````````````````````````````````````````````````````
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0. !
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10000. !
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0. !
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0. !
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126.192 3395.8 !Reducing parameters
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4 0 0 0 0 0 !Number of terms in equation
|
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-6.12445284 1.0
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1.26327220 1.5
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-0.765910082 2.5
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-1.77570564 5.0
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#DL !---Saturated liquid density---
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DL4 !Saturated liquid density equation for nitrogen of Span et al. (2000).
|
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Functional Form: D=Dc*EXP[SUM(Ni*Theta^(ti/3))] where Theta=1-T/Tc, Tc and Dc are
|
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? the reducing parameters below, which are followed by rows containing Ni and ti.
|
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?
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|
!```````````````````````````````````````````````````````````````````````````````
|
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0. !
|
|
10000. !
|
|
0. !
|
|
0. !
|
|
126.192 11.1839 !Reducing parameters
|
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4 0 0 0 0 0 !Number of terms in equation
|
|
1.48654237 0.9882
|
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-0.280476066 2.0
|
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0.0894143085 8.0
|
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-0.119879866 17.5
|
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|
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#DV !---Saturated vapor density---
|
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DV6 !Saturated vapor density equation for nitrogen of Span et al. (2000).
|
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?
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|
?```````````````````````````````````````````````````````````````````````````````
|
|
?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. !
|
|
126.192 11.1839 !Reducing parameters
|
|
5 0 0 0 0 0 !Number of terms in equation
|
|
-1.70127164 1.02
|
|
-3.70402649 2.5
|
|
1.29859383 3.5
|
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-0.561424977 6.5
|
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-2.68505381 14.0
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|
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@END
|
|
c 1 2 3 4 5 6 7 8
|
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c2345678901234567890123456789012345678901234567890123456789012345678901234567890
|
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@TCX !Thermal conductivity model specification
|
|
TC1 pure fluid thermal conductivity model of Stephan et al. (1987).
|
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?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Stephan, K., Krauss, R., and Laesecke, A.,
|
|
? "Viscosity and Thermal Conductivity of Nitrogen for a Wide Range of
|
|
? Fluid States,"
|
|
? J. Phys. Chem. Ref. Data, 16(4):993-1023, 1987.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
63.151 !Lower temperature limit [K]
|
|
2000.0 !Upper temperature limit [K]
|
|
2200000.0 !Upper pressure limit [kPa]
|
|
53.15 !Maximum density [mol/L]
|
|
2 0 !# terms for dilute gas function: numerator, denominator
|
|
1.0 0.001 !Reducing parameters for T, tcx
|
|
0.6950401 -97. !Coefficient, power in T
|
|
0.03643102 -98.
|
|
4 0 !# terms for background gas function: numerator, denominator
|
|
1.0 11.2088889 0.00417 !Reducing parameters for T, rho (rho_c), tcx
|
|
3.3373542 0. 1. 0. !Coefficient, powers of T, rho, spare for future use
|
|
0.37098251 0. 2. 0.
|
|
0.89913456 0. 3. 0.
|
|
0.16972505 0. 4. 0.
|
|
TK3 !Pointer to critical enhancement auxiliary function
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|
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@ETA !Viscosity model specification
|
|
VS1 pure fluid viscosity model of Stephan et al. (1987).
|
|
?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Stephan, K., Krauss, R., and Laesecke, A.,
|
|
? "Viscosity and Thermal Conductivity of Nitrogen for a Wide Range of
|
|
? Fluid States,"
|
|
? J. Phys. Chem. Ref. Data, 16(4):993-1023, 1987.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
63.151 !Lower temperature limit [K]
|
|
2000.0 !Upper temperature limit [K]
|
|
2200000.0 !Upper pressure limit [kPa]
|
|
53.15 !Maximum density [mol/L]
|
|
1 !Number of terms associated with dilute-gas function
|
|
CI1 !Pointer to reduced effective collision cross-section model
|
|
0.36502496 !Lennard-Jones coefficient sigma [nm]
|
|
100.01654 !Lennard-Jones coefficient epsilon/kappa [K]
|
|
1.0 1.0 !Reducing parameters for T, eta
|
|
0.141290 0.5 !Chapman-Enskog term
|
|
0 !Number of terms for initial density dependence
|
|
0 4 1 2 0 0 !# resid terms: close-packed density; simple poly; numerator of rational poly; denominator of rat. poly; numerator of exponential; denominator of exponential
|
|
1. 11.2088889 14.0 !Reducing parameters for T, rho, eta
|
|
-5.8470232 0.0 0. 0. 0 !Simple polynomial terms
|
|
-1.4470051 0.0 1. 0. 0
|
|
-0.027766561 0.0 2. 0. 0
|
|
-0.21662362 0.0 3. 0. 0
|
|
-20.09997 0.0 0. 0. 0 !Numerator
|
|
1.0 0.0 1. 0. 0 !Denominator
|
|
-3.4376416 0.0 0. 0. 0 !Denominator
|
|
NUL !Pointer to the viscosity critical enhancement auxiliary function (none used)
|
|
|
|
|
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@AUX !---Collision integral specification
|
|
CI1 collision integral model of Stephan et al. (1987).
|
|
?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Stephan, K., Krauss, R., and Laesecke, A.,
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
0. !
|
|
10000. !
|
|
0. !
|
|
0. !
|
|
5 !Number of terms
|
|
0.46649 0 !Coefficient, power of Tstar
|
|
-0.57015 1
|
|
0.19164 2
|
|
-0.03708 3
|
|
0.00241 4
|