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CapMachine/CapMachine.Wpf/PPCalculation/REFPROP/FLUIDS/D2.FLD

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Deuterium !Short name
7782-39-0 !CAS number
Deuterium !Full name
D2 !Chemical formula {D2}
Deuterium !Synonym
4.0282 !Molar mass [g/mol]
18.724 !Triple point temperature [K]
23.661 !Normal boiling point [K]
38.34 !Critical temperature [K]
1679.6 !Critical pressure [kPa]
17.23 !Critical density [mol/L]
-0.136 !Acentric factor
0.0 !Dipole moment [Debye]; (exactly zero due to symmetry)
NBP !Default reference state
10.0 !Version number
1957 !UN Number :UN:
cryogen !Family :Family:
???? !Heating value (upper) [kJ/mol] :Heat:
1S/H2/h1H/i1+1D !Standard InChI String :InChi:
UFHFLCQGNIYNRP-VVKOMZTBSA-N !Standard InChI Key :InChiKey:
8d757b40 (hydrogen) !Alternative fluid for mixing rules :AltID:
639b18a0 !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
! 04-03-98 EWL, Original version.
! 06-21-10 CKL, Add ancillary equations.
! 12-06-12 EWL, Add surface tension coefficients of Mulero et al. (2012).
! 02-14-13 IAR, Add ancillary equations.
! 02-14-13 IAR, Add new equation of state of Richardson.
! 02-28-13 MLH, Add scaled hydrogen viscosity and thermal conductivity as estimates for deuterium.
! 05-15-17 EWL, Change the hard coded VS0 model to the VS7 reverse Polish notation.
________________________________________________________________________________
#EOS !---Equation of state---
FEQ !Helmholtz equation of state for deuterium of Richardson et al. (2014).
:TRUECRITICALPOINT: 38.34 17.23 !True EOS critical point [K, mol/L] (where dP/dD=0 and d^2P/dD^2=0 at constant T)
:DOI: 10.1063/1.4864752
?
?```````````````````````````````````````````````````````````````````````````````
?Richardson, I.A., Leachman, J.W., and Lemmon, E.W.,
? J. Phys. Chem. Ref. Data, 43(1), 013103, 2014.
?
?The uncertainty in density is 0.5% over the full temperature and pressure ranges
? of validity of the equation of state. The uncertainties in vapor pressure and
? saturated liquid density are 2% and 3%, respectively, while speed-of-sound
? values have an uncertainty of 1% in the liquid phase.
?
!```````````````````````````````````````````````````````````````````````````````
18.724 !Lower temperature limit [K]
600.0 !Upper temperature limit [K]
2000000.0 !Upper pressure limit [kPa]
43.351 !Maximum density [mol/L]
CPP !Pointer to Cp0 model
4.0282 !Molar mass [g/mol]
18.724 !Triple point temperature [K]
17.189 !Pressure at triple point [kPa]
43.351 !Density at triple point [mol/L]
23.661 !Normal boiling point temperature [K]
-0.136 !Acentric factor
38.34 1679.6 17.23 !Tc [K], pc [kPa], rhoc [mol/L]
38.34 17.23 !Reducing parameters [K, mol/L]
8.3144598 !Gas constant [J/mol-K]
14 4 7 12 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms
0.006267958 1.0 4. 0. !a(i),t(i),d(i),l(i)
10.53609 0.462 1. 0.
-10.14149 0.5584 1. 0.
0.3560610 0.627 2. 0.
0.1824472 1.201 3. 0.
-1.129638 0.309 1. 0.
-0.0549812 1.314 3. 0.
-0.6791329 1.1166 2. 0.
1.347918 1.25 2. 1.
-0.8657582 1.25 2. 1.
1.719146 1.395 1. 2.
-1.917977 1.627 1. 2.
0.1233365 1.0 3. 2.
-0.07936891 2.5 2. 2.
1.686617 0.635 1. 2. 2. -0.868 -0.613 0.6306 1.460 0. 0. 0.
-4.240326 0.664 1. 2. 2. -0.636 -0.584 0.7110 1.7864 0. 0. 0.
1.857114 0.7082 2. 2. 2. -0.668 -0.570 0.6446 1.647 0. 0. 0.
-0.5903705 2.25 3. 2. 2. -0.650 -1.056 0.8226 0.541 0. 0. 0.
1.520171 1.524 3. 2. 2. -0.745 -1.010 0.9920 0.969 0. 0. 0.
2.361373 0.67 1. 2. 2. -0.782 -1.025 1.2184 1.892 0. 0. 0.
-2.297315 0.709 3. 2. 2. -0.693 -1.029 1.2030 1.076 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 deuterium of Richardson et al. (2014).
?
?```````````````````````````````````````````````````````````````````````````````
?Richardson, I.A., Leachman, J.W., and Lemmon, E.W., 2014.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1.0 8.3144598 !Reducing parameters for T, Cp0
1 12 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
2.5 0.0
-3.54145 7174.1
3.0326 8635.0
-3.52422 902.7
-1.73421 181.1
-3.57135 438.5
2.14858 5034.2
6.23107 269.9
-3.30425 229.9
6.23098 666.4
-3.57137 452.8
3.32901 192.0
0.97782 1187.6
#AUX !---Auxiliary function for PX0
PX0 !Helmholtz energy ideal-gas function for deuterium of Richardson et al. (2014).
?
?```````````````````````````````````````````````````````````````````````````````
?Richardson, I.A., Leachman, J.W., and Lemmon, E.W., 2014.
?
!```````````````````````````````````````````````````````````````````````````````
1 2 12 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
-2.0677350466039846 0.0 !aj, ti for [ai*tau**ti] terms
2.4237150686246927 1.0 !aj, ti for [ai*tau**ti] terms
-3.54145 7174.1 !aj, ti for [ai*log(1-exp(-ti/T)] terms
3.0326 8635.0
-3.52422 902.7
-1.73421 181.1
-3.57135 438.5
2.14858 5034.2
6.23107 269.9
-3.30425 229.9
6.23098 666.4
-3.57137 452.8
3.32901 192.0
0.97782 1187.6
#AUX !---Auxiliary function for PH0
PH0 !Ideal gas Helmholtz form for deuterium.
?
?```````````````````````````````````````````````````````````````````````````````
?Richardson, I.A., Leachman, J.W., and Lemmon, E.W., 2014.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1 2 12 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
-2.0677351753 0.0 !aj, ti for [ai*tau**ti] terms
2.4237151502 1.0
-3.54145 -187.1178925404 !aj, ti for [ai*log(1-exp(ti*tau)] terms
3.0326 -225.2217005738
-3.52422 -23.544600939
-1.73421 -4.7235263432
-3.57135 -11.4371413667
2.14858 -131.3041210224
6.23107 -7.0396452791
-3.30425 -5.9963484611
6.23098 -17.381324987
-3.57137 -11.8101199791
3.32901 -5.0078247261
0.97782 -30.9754825248
--------------------------------------------------------------------------------
@EOS !---Equation of state---
BWR !MBWR equation of state for deuterium of McCarty (1989).
?
?```````````````````````````````````````````````````````````````````````````````
?McCarty, R.D.,
? "Correlations for the Thermophysical Properties of Deuterium,"
? unpublished correlation.
? National Institute of Standards and Technology, Boulder, CO, 1989.
? All temperatures on IPTS-68.
?
!```````````````````````````````````````````````````````````````````````````````
18.71 !Lower temperature limit [K]
423.0 !Upper temperature limit [K]
320000.0 !Upper pressure limit [kPa]
43.38 !Maximum density [mol/L]
CP1 !Pointer to Cp0 model
4.0282 !Molar mass [g/mol]
18.71 !Triple point temperature [K]
19.462 !Pressure at triple point [kPa]
43.365 !Density at triple point [mol/L]
23.3097 !Normal boiling point temperature [K]
-0.175 !Acentric factor
38.34 1665.3 17.327 !Tc [K], pc [kPa], rhoc [mol/L]
38.34 17.327 !Reducing parameters [K, mol/L]
17.3279988559019 !gamma
0.0831434 !Gas constant [L-bar/mol-K]
32 1 !Nterm, Ncoeff per term
0.4894244053982e-4 0.05600164604601 -0.6301493491211
2.538329946038 172.3475985309 0.2956238369436e-4
-0.003926317169317 0.01195764193293 11369.16678824
-0.1916378195727e-6 0.0003153535946452 0.0212293733507
-0.1057999371607e-5 -0.6722062598854e-4 -0.3030166828627
0.1980817195099e-5 -0.1453922641871e-7 0.0001780919116891
-0.1823145348424e-5 -11353.58616578 -1943.542941899
-36.3284766958 108.774511838 -0.04078276062687
0.006460021864005 -0.4480242189217e-4 -0.0002475011206216
-0.883438465676e-8 -0.1081622159862e-8 -0.1478159334303e-10
0.7926922356112e-11 0.5721547329378e-11
@AUX !---Auxiliary function for Cp0
CP1 !Ideal gas heat capacity function for deuterium.
?
?```````````````````````````````````````````````````````````````````````````````
?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 3 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
2.4512991 0.0
0.0043563077 1.0
-0.0005316947 1.5
0.000017067184 2.0
-0.53819932e-8 3.0
0.89310438e-12 4.0
18.403263 319.0
-21.257617 361.0
4.1091635 518.0
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
#ETA !---Viscosity---
VS7 !Pure fluid viscosity model from symbolic regression for deuterium 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 uncertainties for deuterium are estimated to be approximately 5% in the gas and
? supercritical regions with larger deviations near the critical region and in the liquid phase.
?
!```````````````````````````````````````````````````````````````````````````````
18.724 !Lower temperature limit [K]
600.0 !Upper temperature limit [K]
2000000.0 !Upper pressure limit [kPa]
43.351 !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 * 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 * CNST *
!
!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)
2. 0. 0. 0. 0 ! SQRT(2) for deuterium
!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)
1.18 0. 0. 0. 0 ! *1.18 for deuterium
NUL !Pointer to the viscosity critical enhancement auxiliary function (none used)
================================================================================
#TCX !---Thermal conductivity---
TC1 !Pure fluid thermal conductivity model for deuterium of Assael et al. (2011).
:DOI: 10.1063/1.3606499
?
?```````````````````````````````````````````````````````````````````````````````
?unpublished; based on scaling the Assael correlation:
? 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):1-13, 2011.
?
?The uncertainties for deuterium are estimated to be approximately 5% in the gas
? and supercritical regions with larger deviations near the critical region and
? in the liquid phase.
?
!```````````````````````````````````````````````````````````````````````````````
18.724 !Lower temperature limit [K]
600.0 !Upper temperature limit [K]
2000000.0 !Upper pressure limit [kPa]
43.351 !Maximum density [mol/L]
7 4 !# terms for dilute gas function: numerator, denominator
1.0 0.001 !Reducing parameters for T, tcx dilute gas divided by sqrt2
-8779370. 0.
3564210. 1.
-34002.5 2.
230.795 3.
0.0676148 4.
1.22675e-4 5.
-2.21184e-8 6.
5043050. 0.
-24375.3 1.
151.523 2.
1.0 3.
10 0 !# terms for background gas function: numerator, denominator
33.145 15.508 1. !Reducing parameters for T, rho, tcx
0.0363081 0. 1. 0.
-0.0207629 0. 2. 0.
0.031481 0. 3. 0.
-0.0143097 0. 4. 0.
0.0017498 0. 5. 0.
0.0018337 1. 1. 0.
-0.00886716 1. 2. 0.
0.015826 1. 3. 0.
-0.0106283 1. 4. 0.
0.00280673 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 deuterium 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) [-]
0.4e-9 !Qd_inverse (modified effective cutoff parameter) [m]
57.51 !Tref (reference temperature) [K]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
@TRN !---ECS Transport---
ECS !Extended Corresponding States model (Nitrogen reference); fit to limited data for deuterium.
?
?```````````````````````````````````````````````````````````````````````````````
?*** ESTIMATION METHOD *** NOT STANDARD REFERENCE QUALITY ***
?Unpublished; uses method described in the following reference:
?Huber, M.L., Laesecke, A., and Perkins, R.A.
? "Model for the Viscosity and Thermal Conductivity of Refrigerants, Including
? a New Correlation for the Viscosity of R134a,"
? Ind. Eng. Chem. Res., 42(13):3163-3178, 2003. doi: 10.1021/ie0300880
?
?Estimated uncertainty is 50%.
?
?The Lennard-Jones parameters were taken from Kestin, J. and Nagashima, A.,"Viscosity of the isotopes of hydrogen and their interatomic force potentials", Physics of Fluids, 7:730-734 (1964).
?
!```````````````````````````````````````````````````````````````````````````````
18.724 !Lower temperature limit [K]
600.0 !Upper temperature limit [K]
2000000.0 !Upper pressure limit [kPa]
43.351 !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)
0.2952 !Lennard-Jones coefficient sigma [nm]
35.2 !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 deuterium of Mulero et al. (2012).
:DOI: 10.1063/1.4768782
?
?```````````````````````````````````````````````````````````````````````````````
?Mulero, A., Cachadi<64>a, 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
38.34 !Critical temperature used in fit (dummy)
0.009376 1.258 !Sigma0 and n
#PS !---Vapor pressure---
PS5 !Vapor pressure equation for deuterium of Richardson et al. (2014).
?
?```````````````````````````````````````````````````````````````````````````````
?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. !
38.34 1679.6 !Reducing parameters
5 0 0 0 0 0 !Number of terms in equation
-5.5706 1.0
1.7631 1.5
-0.5458 2.83
1.2154 4.06
-1.1556 5.4
#DL !---Saturated liquid density---
DL1 !Saturated liquid density equation for deuterium of Richardson et al. (2014).
?
?```````````````````````````````````````````````````````````````````````````````
?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. !
38.34 17.23 !Reducing parameters
6 0 0 0 0 0 !Number of terms in equation
3.3769 0.512
-5.3693 1.12
11.943 1.8
-17.361 2.55
15.170 3.4
-6.3079 4.4
#DV !---Saturated vapor density---
DV3 !Saturated vapor density equation for deuterium of Richardson et al. (2014).
?
?```````````````````````````````````````````````````````````````````````````````
?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. !
38.34 17.23 !Reducing parameters
6 0 0 0 0 0 !Number of terms in equation
-3.8111 0.528
-7.3624 2.03
2.2294 3.6
-21.443 5.0
12.796 6.5
-31.334 9.0
@END
c 1 2 3 4 5 6 7 8
c2345678901234567890123456789012345678901234567890123456789012345678901234567890
0.2948 !Lennard-Jones coefficient sigma [nm] for ECS method
39.3 !Lennard-Jones coefficient epsilon/kappa [K] for ECS method
@ETA !Viscosity model specification
VS0 pure fluid viscosity model of Muzny et al. (2013).
?
?```````````````````````````````````````````````````````````````````````````````
?unpublished; based on scaling the Muzny hydrogen correlation
? 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 uncertainties for deuterium are estimated to be approximately 5% in the gas and supercritical regions
? with larger deviations near the critical region and in the liquid phase.
?
!```````````````````````````````````````````````````````````````````````````````
18.724 !Lower temperature limit [K]
600.0 !Upper temperature limit [K]
2000000.0 !Upper pressure limit [kPa]
43.351 !Maximum density [mol/L]
D2 !Pointer to hardcoded thermal conductivity model
0 1 1 0 0 0 0 0 !Number of terms for various pieces
1. 1. 1. !Reducing parameters for T, rho, eta
0. 0. 0. 0. 0 !Dilute gas coeffs
0. 0. 0. 0. 0 !Residual coeffs
NUL !Pointer to the viscosity critical enhancement auxiliary function (none used)
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