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CapMachine/CapMachine.Wpf/PPCalculation/REFPROP/FLUIDS/C11.FLD

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Undecane !Short name
1120-21-4 !CAS number
Undecane !Full name
CH3-9(CH2)-CH3 !Chemical formula {C11H24}
n-Undecane !Synonym
156.30826 !Molar mass [g/mol]
247.606 !Triple point temperature [K] evaluated value from NIST TDE, v10.1
468.934 !Normal boiling point [K]
638.8 !Critical temperature [K]
1990.4 !Critical pressure [kPa]
1.5149 !Critical density [mol/L]
0.539 !Acentric factor
0.0 !Dipole moment [Debye]; Dornte, R.W. and C.P. Smyth, J. Am. Chem. Soc., 52, 3346-3352 (1930).
NBP !Default reference state
10.0 !Version number
2330 !UN Number :UN:
n-alkane !Family :Family:
7488.14 !Heating value (upper) [kJ/mol] :Heat:
1S/C11H24/c1-3-5-7-9-11-10-8-6-4-2/h3-11H2,1-2H3 :InChi: !Standard InChI String
RSJKGSCJYJTIGS-UHFFFAOYSA-N !Standard InChI Key :InChiKey:
111888d0 (decane) !Alternative fluid for mixing rules :AltID:
62f46c40 !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
! 10-28-03 EWL, Original version.
! 09-01-06 MLH, Add CPP, ECS predictive transport, modified ttp.
! 04-25-07 MLH, Add prelim ECS fit for k, vis.
! 11-04-09 MLH, Add Planck-Einstein cp0.
! 03-20-13 EWL, Add EOS of Alexandrov et al.
! 04-01-13 SH, Add ancillary equations.
! 04-06-13 EWL, Add dipole moment.
! 04-17-14 EWL, Add surface tension coefficients of Mulero et al. (2014).
! 04-28-16 MLH, Revise viscosity and thermal conductivity.
! 06-01-16 MLH, Use new Riesco and Vesovic method for LJ parameters and redo viscosity and k.
! 02-13-17 MLH, Redo ECS viscosity.
! 05-09-17 MLH, Add new k correlation.
! 06-06-17 MLH, Add new viscosity correlation, revised triple point temperature.
________________________________________________________________________________
#EOS !---Equation of state---
FEQ !Helmholtz equation of state for undecane of Alexandrov et al. (2011).
:TRUECRITICALPOINT: 638.8 1.5149 !True EOS critical point [K, mol/L] (where dP/dD=0 and d^2P/dD^2=0 at constant T)
:DOI: 10.1134/S0040601511080027
?
?```````````````````````````````````````````````````````````````````````````````
?Alexandrov, I.S., Gerasimov, A.A., and Grigor'ev, B.A.,
? "Using Fundamental Equations of State for Calculating the Thermodynamic
? Properties of Normal Undecane,"
? Thermal Engineering, 58(8):691-698, 2011. doi: 10.1134/S0040601511080027
?
?The average relative errors of the thermodynamic quantities calculated from the
? fundamental EOS have the following values: saturated vapor pressure, 0.2-0.8%
? (values larger than 0.4% are observed only at temperatures above 500 K);
? saturated liquid density, 0.05-0.15%; saturated vapor density, 0.2-0.4% at
? temperatures below 500 K, and at higher temperatures the error reaches 3-4%;
? liquid phase density, 0.1-0.3%; gaseous phase density, 0.20-0.35%; and heat
? capacities and speed of sound, 0.4-0.8%.
?
!```````````````````````````````````````````````````````````````````````````````
247.606 !Lower temperature limit [K]
700.0 !Upper temperature limit [K]
500000.0 !Upper pressure limit [kPa]
4.97 !Maximum density [mol/L]
CPP !Pointer to Cp0 model
156.30826 !Molar mass [g/mol]
247.541 !Triple point temperature [K]
0.0004461 !Pressure at triple point [kPa]
4.962 !Density at triple point [mol/L]
468.934 !Normal boiling point temperature [K]
0.539 !Acentric factor
638.8 1990.4 1.5149 !Tc [K], pc [kPa], rhoc [mol/L]
638.8 1.5149 !Reducing parameters [K, mol/L]
8.314472 !Gas constant [J/mol-K]
14 4 0 0 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms
-0.66172706 1.5 1. 0. !a(i),t(i),d(i),l(i)
1.3375396 0.25 1. 0.
-2.5608399 1.25 1. 0.
0.10678910 0.25 3. 0.
0.00028873614 0.875 7. 0.
0.049587209 1.375 2. 0.
0.55407101e-7 0.0 1. 1.
0.99754712 2.375 1. 1.
1.5774025 2. 2. 1.
0.0013108354 2.125 5. 1.
-0.59326961 3.5 1. 2.
-0.093001876 6.5 1. 2.
-0.17960228 4.75 4. 2.
-0.022560853 12.5 2. 3.
#AUX !---Auxiliary function for Cp0
CPP !Ideal gas heat capacity function for undecane of Alexandrov et al. (2011).
?
?```````````````````````````````````````````````````````````````````````````````
?Refit of the Alexandrov (2011) equation by Tim Eisenbach, 2018.
? Above 180 K, differences are generally less than 0.05%.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1.0 8.314472 !Reducing parameters for T, Cp0
1 3 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
5.9624 0.0
20.584 323.0
44.512 1597.0
16.520 3302.0
#AUX !---Auxiliary function for PX0
PX0 !Helmholtz energy ideal-gas function for undecane of Alexandrov et al. (2011).
?
?```````````````````````````````````````````````````````````````````````````````
?Refit of the Alexandrov (2011) equation by Tim Eisenbach, 2018.
? Above 180 K, differences are generally less than 0.05%.
?
!```````````````````````````````````````````````````````````````````````````````
1 2 3 0 0 0 0 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau))
4.9624 1.0 !ai, ti for [ai*log(tau**ti)] terms
32.12928483616682 0.0 !aj, ti for [ai*tau**ti] terms
-10.75942326931605 1.0 !aj, ti for [ai*tau**ti] terms
20.584 323.0 !aj, ti for [ai*log(1-exp(-ti/T)] terms
44.512 1597.0
16.520 3302.0
#AUX !---Auxiliary function for Cp0
CP1 !Ideal gas heat capacity function for undecane of Alexandrov et al. (2011).
?
?```````````````````````````````````````````````````````````````````````````````
?Alexandrov, I.S., Gerasimov, A.A., and Grigor'ev, B.A., 2011.
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1.0 8.314472 !Reducing parameters for T, Cp0
6 0 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
-1158848.0 -2.0
20321.8 -1.0
-119.4274 0.0
0.4284215 1.0
-0.0004157728 2.0
1.61828e-7 3.0
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
#ETA !---Viscosity---
VS7 !Pure fluid viscosity model for undecane of Assael et al. (2017).
:DOI: 10.1063/1.4996885
?
?```````````````````````````````````````````````````````````````````````````````
?Assael, M.J., Papalas, T.B., and Huber, M.L.,
? "Reference Correlations for the Viscosity and Thermal Conductivity of n-Undecane,"
? J. Phys. Chem. Ref. Data, 46(3), 033103, 2017. doi: 10.1063/1.4996885
?
?The estimated uncertainty at a 95% confidence level is 2.4% for the viscosity of
? low-density gas (pressures below 0.5 MPa), and 5% for the viscosity of the
? liquid over the temperature range from 260 K to 520 K at pressures up to 60 MPa.
?
!```````````````````````````````````````````````````````````````````````````````
247.606 !Lower temperature limit [K]
700.0 !Upper temperature limit [K]
500000.0 !Upper pressure limit [kPa]
4.97 !Maximum density [mol/L]
NUL !Omega model
!
!Dilute gas function
$DG RED SUM:6 SUM:2 /
!
!Residual function
$RF RED SUMDTHRD:1 SUM:6 /
!
!Coefficients
$CF
1.0 638.8 1.5149 0. 0 !Reducing parameters for eta, T, rho
0.773488 0. 0. 0. 0 !Dilute gas terms
-1.53641 1. 0. 0. 0
19.9976 2. 0. 0. 0
-7.58148 3. 0. 0. 0
2.15143 4. 0. 0. 0
-0.261065 5. 0. 0. 0
0.313626 0. 0. 0. 0
1.0 1. 0. 0. 0
!Residual function
1.0 638.8 1.5149 0. 0 !Reducing parameters for eta, T, rho
256.66394 0.5 2. 0. 0
10.351826 0. 0. 0. 0
6.4977736 1. 0. 0. 0
1.0 0. 2. 0. 0
1.0 2. 0. 0. 0
-1.968383 1. 1. 0. 0
-6.4530492 0. 1. 0. 0
NUL !Pointer to the viscosity critical enhancement auxiliary function (none used)
================================================================================
#TCX !---Thermal conductivity---
TC1 !Pure fluid thermal conductivity model for undecane of Assael et al. (2017).
:DOI: 10.1063/1.4996885
?
?```````````````````````````````````````````````````````````````````````````````
?Assael, M.J., Papalas, T.B., and Huber, M.L.,
? "Reference Correlations for the Viscosity and Thermal Conductivity of n-Undecane,"
? J. Phys. Chem. Ref. Data, 46(3), 033103, 2017. doi: 10.1063/1.4996885
?
?The estimated uncertainty at a 95% confidence level is 3% for the thermal conductivity of
? low-density gas (pressures below 0.5 MPa), and 3% for the thermal conductivity of the
? liquid over the temperature range from 284 K to 677 K at pressures up to 400 MPa.
?
!```````````````````````````````````````````````````````````````````````````````
247.606 !Lower temperature limit [K]
700.0 !Upper temperature limit [K]
500000.0 !Upper pressure limit [kPa]
4.97 !Maximum density [mol/L]
6 3 !# terms for dilute gas function: numerator, denominator
638.8 0.001 !Reducing parameters for T, tcx
-37.3793 0.
767.377 1.
-3043.34 2.
9056.43 3.
-5922.11 4.
1527.46 5.
27.743 0.
27.1621 1.
1.0 2.
10 0 !# terms for background gas function: numerator, denominator
638.8 1.5149 1. !Reducing parameters for T, rho, tcx
-0.0573413 0. 1. 0.
0.0815949 0. 2. 0.
-0.0354049 0. 3. 0.
0.00831716 0. 4. 0.
-0.000723814 0. 5. 0.
0.0646731 1. 1. 0.
-0.0443965 1. 2. 0.
0.00153679 1. 3. 0.
0.00320177 1. 4. 0.
-0.000308355 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 undecane of Perkins et al. (2013).
?
?```````````````````````````````````````````````````````````````````````````````
?Perkins, R.A., Sengers, J.V., Abdulagatov, I.M., and Huber, M.L.,
? "Simplified Model for the Critical Thermal-Conductivity Enhancement in Molecular Fluids,"
? Int. J. Thermophys., 34(2):191-212, 2013. doi: 10.1007/s10765-013-1409-z
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
9 0 0 0 !# terms: CO2-terms, spare, spare, spare
1.0 1.0 1.0 !Reducing parameters for T, rho, tcx [mW/(m-K)]
0.63 !Nu (universal exponent)
1.239 !Gamma (universal exponent)
1.02 !R0 (universal amplitude)
0.063 !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)
0.267e-9 !Xi0 (amplitude) [m]
0.059 !Gam0 (amplitude) [-]
0.866e-9 !Qd_inverse (modified effective cutoff parameter) [m]
958.2 !Tref (reference temperature)=1.5*Tc [K]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
@TRN !---ECS Transport---
ECS !Extended Corresponding States model (C12 reference); fit to experimental data for undecane.
?
?```````````````````````````````````````````````````````````````````````````````
?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
?
?The estimated uncertainty of the viscosity correlation in the liquid phase
? over the temperature range 290 K to 333 K is 1% at pressures to 60 MPa,
? rising to 5% at higher temperatures and pressures.
? The estimated uncertainty for the viscosity of the gas phase is 10%.
?
?The estimated uncertainty of the thermal conductivity correlation in the liquid
? phase is 4% at pressures to 50 MPa, and also 4% in the gas phase.
?
?The Lennard-Jones parameters were estimated with the method of Riesco and Vesovic (2016).
?
!```````````````````````````````````````````````````````````````````````````````
247.606 !Lower temperature limit [K]
800.0 !Upper temperature limit [K]
100000.0 !Upper pressure limit [kPa]
10.0 !Maximum density [mol/L]
FEQ C12.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)
0.7815 !Lennard-Jones coefficient sigma [nm] for ECS method
445.75 !Lennard-Jones coefficient epsilon/kappa [K] for ECS method
2 0 0 !Number of terms in f_int term in Eucken correlation, spare1, spare2
6.75669e-4 0. 0. 0. !Coefficient, power of T, spare1, spare2
1.04759e-6 1. 0. 0. !Coefficient, power of T, spare1, spare2
3 0 0 !Number of terms in psi (visc shape factor): poly,spare1,spare2
1.1063 0. 0. 0. !Coefficient, power of Tr, power of Dr, spare
-0.0733694 0. 1. 0. !Coefficient, power of Tr, power of Dr, spare
0.0126668 0. 2. 0. !Coefficient, power of Tr, power of Dr, spare
2 0 0 !Number of terms in chi (t.c. shape factor): poly,spare1,spare2
1.00121 0. 0. 0. !Coefficient, power of Tr, power of Dr, spare
-0.00639384 0. 1. 0. !Coefficient, power of Tr, power of Dr, spare
TK3 !Pointer to critical enhancement auxiliary function
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#STN !---Surface tension---
ST1 !Surface tension model for undecane of Mulero et al. (2014).
:DOI: 10.1063/1.4878755
?
?```````````````````````````````````````````````````````````````````````````````
?Mulero, A. and Cachadi<64>a, I.,
? "Recommended Correlations for the Surface Tension of Several Fluids
? Included in the REFPROP Program,"
? J. Phys. Chem. Ref. Data, 43, 023104, 2014.
? doi: 10.1063/1.4878755
?
!```````````````````````````````````````````````````````````````````````````````
0. !
10000. !
0. !
0. !
1 !Number of terms in surface tension model
638.8 !Critical temperature used in fit (dummy)
0.0556 1.32 !Sigma0 and n
#PS !---Vapor pressure---
PS5 !Vapor pressure equation for undecane of Herrig (2013).
?
?```````````````````````````````````````````````````````````````````````````````
?Herrig, S., 2013.
?
?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. !
638.8 1990.4 !Reducing parameters
4 0 0 0 0 0 !Number of terms in equation
-9.3961 1.0
4.4531 1.5
-5.2658 2.2
-4.7352 4.5
#DL !---Saturated liquid density---
DL1 !Saturated liquid density equation for undecane of Herrig (2013).
?
?```````````````````````````````````````````````````````````````````````````````
?Herrig, S., 2013.
?
?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. !
638.8 1.5149 !Reducing parameters
5 0 0 0 0 0 !Number of terms in equation
4.5273 0.46
-7.5714 0.84
13.920 1.25
-13.464 1.7
5.8411 2.2
#DV !---Saturated vapor density---
DV3 !Saturated vapor density equation for undecane of Herrig (2013).
?
?```````````````````````````````````````````````````````````````````````````````
?Herrig, S., 2013.
?
?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. !
638.8 1.5149 !Reducing parameters
5 0 0 0 0 0 !Number of terms in equation
-4.3093 0.466
-3.4358 1.02
-17.473 2.4
-58.573 5.3
-133.83 11.4
@END
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