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一些优化：CAN和PLC地址的优化

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Parahydrogen !Short name
1333-74-0p !CAS number
Parahydrogen !Full name
H2 !Chemical formula {H2}
R-702p !Synonym
2.01588 !Molar mass [g/mol]
13.8033 !Triple point temperature [K]
20.271 !Normal boiling point [K]
32.938 !Critical temperature [K]
1285.8 !Critical pressure [kPa]
15.538 !Critical density [mol/L]
-0.219 !Acentric factor
0.0 !Dipole moment [Debye]; (exactly zero due to symmetry)
NBP !Default reference state
10.0 !Version number
1049 !UN Number :UN:
cryogen !Family :Family:
285.83 !Heating value (upper) [kJ/mol] :Heat:
A3 !Safety Group (ASHRAE Standard 34, 2010) :Safety:
???? !Standard InChI String :InChi:
???? !Standard InChI Key :InChiKey:
8d757b40 (hydrogen) !Alternative fluid for mixing rules :AltID:
8d757b4a !Hash number from InChI Key :Hash:
!Quantum mechanics requires orthohydrogen to retain rotational energy at low temperatures, even below the triple point
! temperature, that manifests in significantly higher ideal-gas thermal properties relative to parahydrogen. The
! traditional reference state determination method of setting the enthalpy and entropy of an ideal-gas equal to zero for a
! saturated liquid at the normal boiling point does not account for this difference and results in false comparisons
! between parahydrogen and orthohydrogen. To allow the orthohydrogen and parahydrogen equations of state to accurately
! reflect these differences, the reference state properties for orthohydrogen have been set in agreement with those
! tabulated in LeRoy et al., J. Phys. Chem., 94:923-929, 1990.
!
!Here, the reference state for parahydrogen was left as NBP to conform with that from earlier versions of Refprop.
! If you wish to obtain enthalpy and entropy properties that are consistent with those now used in the orthohydrogen
! fluid file, delete line 14 above that has NBP on it and replace it with the following two lines:
!OT0 !Default reference state that agrees with those of LeRoy et al., J. Phys. Chem., 94:923-929, 1990.
!25.0 0.1 519.654 123.5089
!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
! 04-06-98 EWL, Original version.
! 10-20-99 EWL, Add tcx and eta formulations from NIST12, Version 3.1.
! 08-05-04 EWL, Add Harvey and Lemmon dielectric correlation.
! 03-27-07 JWL, Add equation of state of Leachman et al. (2009).
! 10-16-07 EWL, Change upper temp. limit of vis and tcx from 400 to 1000 K based on good graphical extrapolation.
! 07-17-08 EWL, Change incorrect molecular weight from 2.01594 to 2.01588.
! 07-21-08 EWL, Add vapor pressure ancillary.
! 06-17-10 CKL, Add ancillaries for sat. densities.
! 04-07-11 MLH, Add thermal conductivity model of Assael et al. (2011).
! 04-07-11 MLH, Add viscosity model of Quinones-Cisneros et al. (2011) but not as default.
! 11-16-12 MLH, Add new SR model of Muzny for viscosity.
! 12-06-12 EWL, Add surface tension coefficients of Mulero et al. (2012).
! 05-13-17 EWL, Change the ECS LJ sigma from 2.827 to the correct 0.2827.
! 05-15-17 EWL, Change the hard coded VS0 model to the VS7 reverse Polish notation.
! 08-06-17 EWL, Change melting point at Ttrp to match triple point pressure of Leachman et al.
! 02-13-18 IHB, Update sublimation line model to match triple point (w/ AHH).
________________________________________________________________________________
#EOS !---Equation of state---
FEQ !Helmholtz equation of state for parahydrogen of Leachman et al. (2009).
:TRUECRITICALPOINT: 32.938 15.538 !True EOS critical point [K, mol/L] (where dP/dD=0 and d^2P/dD^2=0 at constant T)
:DOI: 10.1063/1.3160306
?
?```````````````````````````````````````````````````````````````````````````````
?Leachman, J.W., Jacobsen, R.T, Penoncello, S.G., and Lemmon, E.W.,
? "Fundamental Equations of State for Parahydrogen, Normal Hydrogen, and Orthohydrogen,"
? J. Phys. Chem. Ref. Data, 38(3):721-748, 2009.
?
?The uncertainty in density is 0.1% at temperatures from the triple point
? to 250 K and at pressures up to 40 MPa, except in the critical region,
? where an uncertainty of 0.2% in pressure is generally attained. In the
? region between 250 and 450 K and at pressures to 300 MPa, the
? uncertainty in density is 0.04%. At temperatures between 450 and 1000
? K, the uncertainty in density increases to 1%. At pressures between 300
? and 2000 MPa, the uncertainty in density is 8%. Speed of sound data are
? represented within 0.5% below 100 MPa. The estimated uncertainty for
? heat capacities is 1.0%. The estimated uncertainties of vapor pressures
? and saturated liquid densities calculated with the Maxwell criterion
? are 0.1% for each property.
?
!```````````````````````````````````````````````````````````````````````````````
13.8033 !Lower temperature limit [K]
1000.0 !Upper temperature limit [K]
2000000.0 !Upper pressure limit [kPa]
104.0 !Maximum density [mol/L]
CPP !Pointer to Cp0 model
2.01588 !Molar mass [g/mol]
13.8033 !Triple point temperature [K]
7.041 !Pressure at triple point [kPa]
38.185 !Density at triple point [mol/L]
20.271 !Normal boiling point temperature [K]
-0.219 !Acentric factor
32.938 1285.8 15.538 !Tc [K], pc [kPa], rhoc [mol/L]
32.938 15.538 !Reducing parameters [K, mol/L]
8.314472 !Gas constant [J/mol-K]
9 4 5 12 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms
0.01 1.0 4. 0. !a(i),t(i),d(i),l(i)
-7.33375 0.6855 1. 0.
2.60375 1.0 1. 0.
4.66279 0.489 1. 0.
0.682390 0.774 2. 0.
-1.47078 1.133 2. 0.
0.135801 1.386 3. 0.
-1.05327 1.619 1. 1.
0.328239 1.162 3. 1.
-0.0577833 3.96 2. 2. 2. -1.7437 -0.194 0.8048 1.5487 0. 0. 0.
0.0449743 5.276 1. 2. 2. -0.5516 -0.2019 1.5248 0.1785 0. 0. 0.
0.0703464 0.99 3. 2. 2. -0.0634 -0.0301 0.6648 1.28 0. 0. 0.
-0.0401766 6.791 1. 2. 2. -2.1341 -0.2383 0.6832 0.6319 0. 0. 0.
0.119510 3.190 1. 2. 2. -1.7770 -0.3253 1.4930 1.7104 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 parahydrogen of Leachman et al. (2009).
?
?```````````````````````````````````````````````````````````````````````````````
?Leachman, J.W., Jacobsen, R.T, Penoncello, S.G., and Lemmon, E.W., 2009.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1.0 8.314472 !Reducing parameters for T, Cp0
1 7 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
2.5 0.0
4.30256 499.0
13.0289 826.5
-47.7365 970.8
50.0013 1166.2
-18.6261 1341.4
0.993973 5395.0
0.536078 10185.0
#AUX !---Auxiliary function for PX0
PX0 !Helmholtz energy ideal-gas function for parahydrogen of Leachman et al. (2009).
?
?```````````````````````````````````````````````````````````````````````````````
?Leachman, J.W., Jacobsen, R.T, Penoncello, S.G., and Lemmon, E.W., 2009.
?
!```````````````````````````````````````````````````````````````````````````````
1 2 7 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
-1.4485885457134948 0.0 !aj, ti for [ai*tau**ti] terms
1.8845208741487571 1.0 !aj, ti for [ai*tau**ti] terms
4.30256 499.0 !aj, ti for [ai*log(1-exp(-ti/T)] terms
13.0289 826.5
-47.7365 970.8
50.0013 1166.2
-18.6261 1341.4
0.993973 5395.0
0.536078 10185.0
#AUX !---Auxiliary function for PH0
PH0 !Ideal gas Helmholtz form for parahydrogen.
?
?```````````````````````````````````````````````````````````````````````````````
?Leachman, J.W., Jacobsen, R.T, Penoncello, S.G., and Lemmon, E.W., 2009.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1 2 7 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
-1.4485891134 0.0 !aj, ti for [ai*tau**ti] terms
1.884521239 1.0
4.30256 -15.1496751472 !aj, ti for [ai*log(1-exp(ti*tau)] terms
13.0289 -25.0925982148
-47.7365 -29.4735563787
50.0013 -35.4059141417
-18.6261 -40.724998482
0.993973 -163.7925799988
0.536078 -309.2173173842
--------------------------------------------------------------------------------
@EOS !---Equation of state---
BWR !MBWR equation of state for parahydrogen 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.
?
?The uncertainties in density are 0.1% in the liquid phase, 0.25% in the
? vapor phase, and 0.2% in the supercritical region. The uncertainty in
? heat capacity is 3% and the uncertainty in speed of sound is 2% in the
? liquid phase and 1% elsewhere.
?
?Note:
? The ideal gas equation was refit from calculations of piecewise Cp0 equation
? of McCarty
?
!```````````````````````````````````````````````````````````````````````````````
13.8 !Lower temperature limit [K]
400.0 !Upper temperature limit [K]
121000.0 !Upper pressure limit [kPa]
44.0 !Maximum density [mol/L]
CP1 !Pointer to Cp0 model
2.01594 !Molar mass [g/mol]
13.8 !Triple point temperature [K]
7.042 !Pressure at triple point [kPa]
38.21 !Density at triple point [mol/L]
20.2769 !Normal boiling point temperature [K]
-0.218 !Acentric factor
32.938 1283.77 15.556 !Tc [K], pc [kPa], rhoc [mol/L]
32.938 15.556 !Reducing parameters [K, mol/L]
15.6173762 !gamma
0.0831434 !Gas constant [L-bar/mol-K]
32 1 !Nterm, Ncoeff per term
0.0004675528393416 0.04289274251454 -0.5164085596504
2.961790279801 -30.27194968412 0.1908100320379e-4
-0.001339776859288 0.3056473115421 51.61197159532
0.1999981550224e-6 0.0002896367059356 -0.02257803939041
-0.2287392761826e-5 0.2446261478645e-4 -0.001718181601119
-0.5465142603459e-6 0.4051941401315e-8 0.1157595123961e-5
-0.1269162728389e-7 -49.83023605519 -160.6676092098
-0.192679918531 9.319894638928 -0.0003222596554434
0.001206839307669 -0.384158819747e-6 -0.4036157453608e-4
-0.1250868123513e-9 0.1976107321888e-8 -0.2411883474011e-12
-0.4127551498251e-12 0.891797288361e-11
@AUX !---Auxiliary function for Cp0
CP1 !Ideal gas heat capacity function for parahydrogen.
?
?```````````````````````````````````````````````````````````````````````````````
?refit by EWL from calculations of piecewise fit of Cp0 by McCarty
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1.0 8.31434 !Reducing parameters for T, Cp0
6 4 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
2.4995169 0.0
-0.0011125185 1.0
0.00027491461 1.5
-0.000010005269 2.0
0.22695404e-8 3.0
-0.21031029e-12 4.0
12.353388 598.0
-17.777676 778.0
6.4309174 1101.0
7.3347521 6207.0
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
#ETA !---Viscosity---
VS7 !Pure fluid viscosity model from symbolic regression for parahydrogen of Muzny et al. (2013).
:DOI: 10.1021/je301273j
?
?```````````````````````````````````````````````````````````````````````````````
?Muzny, C.D., Huber, M.L., and Kazakov, A.F.,
? "Correlation for the Viscosity of Normal Hydrogen Obtained from Symbolic Regression,"
? J. Chem. Eng. Data, 58:969-979, 2013.
?
?The estimated uncertainty is 4 % for the saturated liquid from the triple point to 31 K, with larger deviations
? as the critical region is approached. The estimated uncertainty is 4 % for the supercritical fluid phase at pressures to 200 MPa.
? For the limited range of 200 K to 400 K at pressures up to 0.1 MPa, the uncertainty is 0.1 %.
?
!```````````````````````````````````````````````````````````````````````````````
13.8033 !Lower temperature limit [K]
2000.0 !Upper temperature limit [K]
2000000.0 !Upper pressure limit [kPa]
104.0 !Maximum density [mol/L]
NUL !Pointer to collision integral model
!
!Dilute gas function
$DG RED SUMLOGT:5 EXP CNST SQR * INV SUM:1 CNST * SQRT *
!
!Second viscosity virial function
$VV RED SUM:7 CNST CUBE *
!
!Residual function
$RF RED SUM:3 SUM:1 SUM:2 / + EXP SUM:1 *
!
!Coefficients
$CF
0.021357 30.41 1. 0. 0 !Reducing parameters for eta, T, rho
0.209630 0. 0. 0. 0 ! s1*LOG(Ts) Coefficient to match Moldover
-0.455274 1. 0. 0. 0 ! s2*LOG(Ts)
0.143602 2. 0. 0. 0 ! s3*LOG(Ts)^2
-0.0335325 3. 0. 0. 0 ! s4*LOG(Ts)^3
0.00276981 4. 0. 0. 0 ! s5*LOG(Ts)^4
0.297 0. 0. 0. 0 ! e3^2*EXP(above)
2.01588 1. 0. 0. 0 ! e2*T (use below)
30.41 0. 0. 0. 0 ! SQRT(e2*T*Tred)
!Virial terms
0.6022137 30.41 1. 0. 0 !Reducing parameters for eta, T, rho
-0.187 0. 0. 0. 0 ! b2
2.4871 -1. 0. 0. 0 ! b3/Ts
3.7151 -2. 0. 0. 0 ! b4/Ts^2
-11.0972 -3. 0. 0. 0 ! b5/Ts^3
9.0965 -4. 0. 0. 0 ! b6/Ts^4
-3.8292 -5. 0. 0. 0 ! b7/Ts^5
0.5166 -6. 0. 0. 0 ! b8/Ts^6
0.297 0. 0. 0. 0 ! b9^3*sum(above)
!Residual function terms
1000. 33.145 45.096479408 0. 0 !Reducing parameters for eta, T, rho
0.0456334068 1. 0. 0. 0 ! a2*Tr
0.232797868 -1. 0. 0. 0 ! a3/Tr
0.363576595 0. 6. 0. 0 ! a6*Dr^6
0.958326120 0. 2. 0. 0 ! a4*Dr^2
0.127941189 0. 0. 0. 0 ! a5
1.0 1. 0. 0. 0 ! [a4*Dr^2 from above]/(a5+Tr)
0.00643449673 0. 2. 0. 0 ! a1*Dr^2*EXP(above)
NUL !Pointer to the viscosity critical enhancement auxiliary function (none used)
================================================================================
#TCX !---Thermal conductivity---
TC1 !Pure fluid thermal conductivity model for parahydrogen of Assael et al. (2011).
:DOI: 10.1063/1.3606499
?
?```````````````````````````````````````````````````````````````````````````````
?Assael, M.J., Assael. J.-A.M., Huber, M.L., Perkins, R.A., and Takata, Y.,
? "Correlation of the Thermal Conductivity of Normal and Parahydrogen
? from the Triple Point to 1000 K and up to 100 MPa,"
? J. Phys. Chem. Ref. Data, 40(3), 033101, 2011.
?
?For the region from the triple point to 300 K at pressures to 20 MPa, the estimated uncertainty
? is 4%, with the exception of the critical region. The uncertainty is estimated to
? be 6% for temperatures from 400 K to 1000 K and pressures to 100 MPa. The correlation behaves
? in a physically reasonable manner for extrapolations to higher pressures at temperatures
? below 400 K, but will be subject to larger uncertainties.
?
!```````````````````````````````````````````````````````````````````````````````
13.8033 !Lower temperature limit [K]
1000.0 !Upper temperature limit [K]
2000000.0 !Upper pressure limit [kPa]
104.0 !Maximum density [mol/L]
8 7 !# terms for dilute gas function: numerator, denominator
1.0 0.001 !Reducing parameters for T, tcx
-1245. 0.
9418.06 1.
-305.098 2.
6.88449 3.
-0.0558871 4.
2.79243e-4 5.
-4.06944e-7 6.
3.42309e-10 7.
14230.4 0.
-588.749 1.
14.5983 2.
-0.13483 3.
6.19047e-4 4.
-9.21777e-7 5.
7.83099e-10 6.
10 0 !# terms for background gas function: numerator, denominator
32.938 15.538 1. !Reducing parameters for T, rho, tcx
0.0265975 0. 1. 0.
-0.00133826 0. 2. 0.
0.0130219 0. 3. 0.
-0.00567678 0. 4. 0.
-0.92338e-4 0. 5. 0.
-0.00121727 1. 1. 0.
0.00366663 1. 2. 0.
0.00388715 1. 3. 0.
-0.00921055 1. 4. 0.
0.00400723 1. 5. 0.
TK3 !Pointer to critical enhancement auxiliary function
#AUX !---Auxiliary function for the thermal conductivity critical enhancement
TK3 !Simplified thermal conductivity critical enhancement for parahydrogen of Assael et al. (2011).
?
?```````````````````````````````````````````````````````````````````````````````
?Assael, M.J., Assael. J.-A.M., Huber, M.L., Perkins, R.A., and Takata, Y., 2011.
?
!```````````````````````````````````````````````````````````````````````````````
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)
0.15e-9 !Xi0 (amplitude) [m]
0.052 !Gam0 (amplitude) [-]
0.5e-9 !Qd_inverse (modified effective cutoff parameter) [m]
49.407 !Tref (reference temperature) [K]
********************************************************************************
@ETA !---Viscosity---
VS4 !Pure fluid generalized friction theory viscosity model for parahydrogen of Quinones-Cisneros et al. (2011).
?
?```````````````````````````````````````````````````````````````````````````````
?Quinones-Cisneros, S.E., Huber, M.L., and Deiters, U.K.,
? model of 27-jan-2011 unpublished
?
!```````````````````````````````````````````````````````````````````````````````
13.8033 !Lower temperature limit [K]
1000.0 !Upper temperature limit [K]
2000000.0 !Upper pressure limit [kPa]
104.0 !Maximum density [mol/L]
8 1 2 0 0 0 !Number of terms associated with dilute-gas function
NUL !Pointer to reduced effective collision cross-section model; not used
0.2827 !Lennard-Jones coefficient sigma [nm];not used
59.7 !Lennard-Jones coefficient epsilon/kappa [K];not used
32.938 1.0 !Reducing parameters for T, eta
0.0 0.5 !Chapman-Enskog term; not used here !use for extra pieces?
7.7144542105280585 0.0
-36.82065170523866 0.25
68.49882398219104 0.50
-58.00162637079715 0.75
27.013888066380914 1.0
-5.55928755948473 1.25
0.46490717320145977 1.50
1. 0.75 !Additional special terms for numerator
1. 0.0 !Additional special terms for denominator
1. 1.0 !Additional special terms for denominator
7 !Number of terms for initial density dependence
1.0 0.0157768 !Reducing parameters for T (= eps/k), etaB2 (= 0.6022137*sigma**3)
-0.187 0.0 !Coefficient, power in T* = T/(eps/k)
75.6327 -1.0
3435.61 -2.0
-312078. -3.0
7779290. -4.0
-99584100. -5.0
408557000. -6.0
-0.03768564675677641 0.02238493598199995 0.006424167560123974 -5.723254060608424e-7 0.0 ! a(0),a(1),a(2)
-0.04897821165342249 -0.05786784231898735 0.016640614921653815 -4.352926821749732e-6 0.0 ! b(0),b(1),b(2)
0.0 0.0 0.0 0.0 0.0 ! c(0),c(1),c(2)
-3.046799839803415e-5 8.228692086410122e-5 1.8647927082356328e-5 -4.59581250908383e-10 0.0 ! A(0),A(1),A(2)
1.232548095616199e-4 1.2379026782334722e-4 7.504884568669591e-6 1.9436562071471596e-8 0.0 ! B(0),B(1),B(2)
0.0 0.0 0.0 0.0 0.0 ! C(0),C(1),C(2)
3.1464688766415165e-7 4.304432732999407e-7 -7.96709495655157e-8 0.0 0.0 ! D(0),D(1),D(2)
0.0 0.0 0.0 0.0 0.0 ! E(0),E(1),E(2)
NUL !Pointer to the viscosity critical enhancement auxiliary function (none used)
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
@TRN !---ECS Transport---
ECS !Extended Corresponding States model (Nitrogen reference); predictive mode for parahydrogen.
?
?```````````````````````````````````````````````````````````````````````````````
?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 are for H2 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.
?
!```````````````````````````````````````````````````````````````````````````````
13.8 !Lower temperature limit [K]
400.0 !Upper temperature limit [K]
121000.0 !Upper pressure limit [kPa]
66.94 !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)
0.2827 !Lennard-Jones coefficient sigma [nm] for ECS method
59.7 !Lennard-Jones coefficient epsilon/kappa [K] for ECS method
1 0 0 !Number of terms in f_int term in Eucken correlation, spare1, spare2
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 parahydrogen 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
32.938 !Critical temperature used in fit (dummy)
0.005314 1.06 !Sigma0 and n
#DE !---Dielectric constant---
DE3 !Dielectric constant model for parahydrogen 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
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
273.16 1000.0 1.0 !Reducing parameters for T and D
0 2 3 0 0 0 !Number of terms in dielectric constant model
2.0297 0. 1. 0. !Coefficient, T exp, D exp
0.0069 1. 1. 0.
0.181 0. 2. 0.
0.021 1. 2. 0.
-7.4 0. 3. 0.
#MLT !---Melting line---
MLP !Melting line model for parahydrogen of Younglove (1982).
:DOI:
:WEB: https://srd.nist.gov/JPCRD/jpcrdS1Vol11.pdf
?
?```````````````````````````````````````````````````````````````````````````````
?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.
?
!```````````````````````````````````````````````````````````````````````````````
13.8 !Lower temperature limit [K]
400.0 !Upper temperature limit [K]
0. !
0. !
1. 1000. !Reducing temperature and pressure
4 0 0 0 0 0 !Number of terms in melting line equation
-26.5289115 0.0 !Coefficients and exponents
0.248578596 1.764739
-21.2823393 0.0
0.125746643 1.955
#SBL !---Sublimation line---
SB2 !Sublimation line model for parahydrogen of Brown and Zeigler (2009).
:DOI: 10.1007/978-1-4613-9856-1_76
?
?```````````````````````````````````````````````````````````````````````````````
?Based on G.N. Brown and W.T. Ziegler, Adv. Cryo. Eng., 25:662-670, 1979.
? Modified to match the triple point of the equation of state.
?
!```````````````````````````````````````````````````````````````````````````````
0.0 !Lower temperature limit [K]
13.8 !Upper temperature limit [K]
0. !
0. !
1.0 1000.0 !Reducing temperature and pressure
6 0 0 0 0 0 !Number of terms in sublimation line equation
4.78288 0.0 !Coefficients and exponents
-1.485636e2 -1.0
2.32321e2 -2.0
-5.60207e2 -3.0
6.64126e2 -4.0
-2.8906e2 -5.0
#PS !---Vapor pressure---
PS5 !Vapor pressure equation for parahydrogen of Leachman et al. (2009).
?
?```````````````````````````````````````````````````````````````````````````````
?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. !
32.938 1285.8 !Reducing parameters
4 0 0 0 0 0 !Number of terms in equation
-4.87767 1.0
1.03359 1.5
0.826680 2.65
-0.129412 7.4
#DL !---Saturated liquid density---
DL1 !Saturated liquid density equation for parahydrogen of Lemmon (2010).
?
?```````````````````````````````````````````````````````````````````````````````
?Lemmon, C.K. and Lemmon, E.W., 2010.
?
?Functional Form: D=Dc*[1+SUM(Ni*Theta^ti)] 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. !
32.938 15.538 !Reducing parameters
5 0 0 0 0 0 !Number of terms in equation
-0.13509 0.15
4.0739 0.44
-5.3985 0.7
5.5230 0.99
-2.3643 1.31
#DV !---Saturated vapor density---
DV3 !Saturated vapor density equation for parahydrogen of Lemmon (2010).
?
?```````````````````````````````````````````````````````````````````````````````
?Lemmon, C.K. and Lemmon, E.W., 2010.
?
?Functional Form: D=Dc*EXP[SUM(Ni*Theta^ti)] 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. !
32.938 15.538 !Reducing parameters
6 0 0 0 0 0 !Number of terms in equation
-5.7545 0.53
3.8153 0.7
-12.293 1.7
15.095 2.4
-17.295 3.3
-34.190 10.0
@END
c 1 2 3 4 5 6 7 8
c2345678901234567890123456789012345678901234567890123456789012345678901234567890
@ETA !Viscosity model specification
VS0 pure fluid viscosity model of McCarty and Weber (1972).
?
?```````````````````````````````````````````````````````````````````````````````
?McCarty, R.D. and Weber, L.A.,
? "Thermophysical properties of parahydrogen from the freezing liquid line to
? 5000 R for pressures to 10,000 psia,"
? Natl. Bur. Stand., Tech. Note 617, 1972.
?
?The uncertainty in viscosity ranges from 4% to 15%.
?
!```````````````````````````````````````````````````````````````````````````````
13.8 !Lower temperature limit [K]
1000.0 !Upper temperature limit [K]
121000.0 !Upper pressure limit [kPa]
66.94 !Maximum density [mol/L]
H2 !Pointer to hardcoded thermal conductivity model
0 9 8 0 0 0 0 0 !Number of terms for various pieces
1.0 1.0 1.0 !Reducing parameters for T, rho, eta
-18.41091042788 0. 0. 0. 0 !Dilute gas coeffs
31.85762039455 0. 0. 0. 0
-23.08233586574 0. 0. 0. 0
9.129812714730 0. 0. 0. 0
-2.163626387630 0. 0. 0. 0
0.3175128582601 0. 0. 0. 0
-0.02773173035271 0. 0. 0. 0
0.001347359367871 0. 0. 0. 0
-0.2775671778154e-4 0. 0. 0. 0
-10.99981128000 0. 0. 0. 0 !Residual coeffs
18.95876508000 0. 0. 0. 0
-381.3005056000 0. 0. 0. 0
59.50473265000 0. 0. 0. 0
1.099399458000 0. 0. 0. 0
8.987269839000 0. 0. 0. 0
1231.422148000 0. 0. 0. 0
0.311 0. 0. 0. 0
NUL !Pointer to the viscosity critical enhancement auxiliary function (none used)
@ETA !Viscosity model specification
VS0 pure fluid viscosity model from symbolic regression (Muzny, Huber, Kazakov) (2013).
?
?```````````````````````````````````````````````````````````````````````````````
?Muzny, C.D., Huber, M.L., and Kazakov, A.F.,
? "Correlation for the Viscosity of normal hydrogen obtained from symbolic regression"
? submitted to J. Chem. Eng. Data, 2013
?
?The estimated uncertainty is 4 % for the saturated liquid from the triple point to 31 K, with larger deviations
? as the critical region is approached. The estimated uncertainty is 4 % for the supercritical fluid phase at pressures to 200 MPa.
? For the limited range of 200 K to 400 K at pressures up to 0.1 MPa, the uncertainty is 0.1 %.
?
!```````````````````````````````````````````````````````````````````````````````
13.8033 !Lower temperature limit [K]
2000.0 !Upper temperature limit [K]
2000000.0 !Upper pressure limit [kPa]
104.0 !Maximum density [mol/L]
H2A !Pointer to hardcoded model
0 0 0 0 0 0 0 0 !Number of terms for various pieces
1.0 1.0 1.0 !Reducing parameters for T, rho, eta
NUL !Pointer to the viscosity critical enhancement auxiliary function (none used)
@SBL !---Sublimation line---
SB2 !Sublimation line model for parahydrogen of McCarty et al. (1981).
?
?```````````````````````````````````````````````````````````````````````````````
?McCarty, R.D., Hord, J., and Roder, H.M.,
? "Selected Properties of Hydrogen (Engineering Design Data),"
? NBS Monograph 168, National Bureau of Standards, Boulder, 1981.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
13.8 !Upper temperature limit [K]
0. !
0. !
1. 0.13332237 !Reducing temperature and pressure
2 0 1 0 0 0 !Number of terms in sublimation line equation
4.009857354 0.0 !Coefficients and exponents
-90.77568949 -1.0
2.489830940 1.0