Water !Short name 7732-18-5 !CAS number Water !Full name H2O !Chemical formula {H2O} R-718 !Synonym 18.015268 !Molar mass [g/mol] 273.16 !Triple point temperature [K] 373.1243 !Normal boiling point [K] 647.096 !Critical temperature [K] 22064.0 !Critical pressure [kPa] 17.8737279956 !Critical density [mol/L] 0.3443 !Acentric factor 1.855 !Dipole moment [Debye]; Shostak, S.L., Ebenstein, W.L., and Muenter, J.S., The dipole moment of water. I. Dipole moments and hyperfine properties of H2O and HDO in the ground and excited vibrational states, J. Chem. Phys. 94, 5875-5882 (1991). OTH !Default reference state 300.0 1.0 45957.1914944204584 164.005224192784 !Tref, Pref, Href, Sref (corresponds to u,s = 0 @ Ttp) 10.0 !Version number ???? !UN Number :UN: other !Family :Family: 44.016 !Heating value (upper) [kJ/mol] :Heat: A1 !Safety Group (ASHRAE Standard 34, 2010) :Safety: 1S/H2O/h1H2 !Standard InChI String :InChi: XLYOFNOQVPJJNP-UHFFFAOYSA-N !Standard InChI Key :InChiKey: ???? !Alternative fluid for mixing rules :AltID: b43a7600 !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 ! 01-22-97 EWL, Original version. ! 11-18-98 EWL, Add equation of state of Saul and Wagner (1989). ! 11-07-00 EWL, Add transport equations. ! 10-17-01 EWL, Add ancillary saturation equations. ! 02-07-02 EWL, Change the lower T limit for eta, tcx to 251.165 K. ! 05-28-02 EWL, Increase digits in Href. ! 10-07-04 MLH, Add TPR coefficients. ! 09-14-06 EWL, Change upper T limit from 1275 to 2000 K for the EOS, and from 1275 to 1350 for the others (so that 1.5*1350>2000K). ! 03-05-07 MLH, Add VS4 model. ! 02-08-08 EWL, Add missing last two digits to EOS coefficients. ! 05-08-08 MLH, Add 2008 IAPWS viscosity model, changed version to 8.1, added extra FT coeff. ! 04-12-11 MLH, Add 2011 IAPWS thermal conductivity model, version changed to 9.1, added extra FT coeff. ! 08-21-12 MLH, Add IAPWS thermal conductivity paper reference, corrected superfluous digits. ! 08-23-12 EWL, Change reference state values in last few digits to better match u,s=0. ________________________________________________________________________________ #EOS !---Equation of state--- FEQ !Helmholtz equation of state for water of Wagner and Pruss (2002). :TRUECRITICALPOINT: 647.096 17.8737279956 !True EOS critical point [K, mol/L] (where dP/dD=0 and d^2P/dD^2=0 at constant T) :DOI: 10.1063/1.1461829 :WEB: http://www.iapws.org/relguide/IAPWS-95.html ? ?``````````````````````````````````````````````````````````````````````````````` ?Wagner, W. and Pruss, A., ? "The IAPWS Formulation 1995 for the Thermodynamic Properties of Ordinary ? Water Substance for General and Scientific Use," ? J. Phys. Chem. Ref. Data, 31(2):387-535, 2002. ? doi: 10.1063/1.1461829 ? ?International Association for the Properties of Water and Steam, ? IAPWS R6-95, Revised Release on the IAPWS Formulation 1995 for the ? Thermodynamic Properties of Ordinary Water Substance for General and ? Scientific Use, 2016. ? http://www.iapws.org/relguide/IAPWS-95.html ? ?The uncertainty in density of the equation of state is 0.0001% at 1 atm ? in the liquid phase, and 0.001% at other liquid states at pressures up ? to 10 MPa and temperatures to 423 K. In the vapor phase, the uncertainty ? is 0.05% or less. The uncertainties rise at higher temperatures and/or ? pressures, but are generally less than 0.1% in density except at extreme ? conditions. The uncertainty in pressure in the critical region is 0.1%. ? The uncertainty of the speed of sound is 0.15% in the vapor and 0.1% or ? less in the liquid, and increases near the critical region and at high ? temperatures and pressures. The uncertainty in isobaric heat capacity ? is 0.2% in the vapor and 0.1% in the liquid, with increasing values in ? the critical region and at high pressures. The uncertainties of ? saturation conditions are 0.025% in vapor pressure, 0.0025% in ? saturated liquid density, and 0.1% in saturated vapor density. The ? uncertainties in the saturated densities increase substantially as the ? critical region is approached. ? !``````````````````````````````````````````````````````````````````````````````` 273.16 !Lower temperature limit [K] 2000.0 !Upper temperature limit [K] 1000000.0 !Upper pressure limit [kPa] 73.96 !Maximum density [mol/L] CPP !Pointer to Cp0 model 18.015268 !Molar mass [g/mol] 273.16 !Triple point temperature [K] 0.61248 !Pressure at triple point [kPa] 55.49695514 !Density at triple point [mol/L] 373.1243 !Normal boiling point temperature [K] 0.3443 !Acentric factor 647.096 22064.0 17.8737279956 !Tc [K], pc [kPa], rhoc [mol/L] 647.096 17.8737279956 !Reducing parameters [K, mol/L] 8.314371357587 !Gas constant [J/mol-K] 51 4 5 12 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms 0.012533547935523 -0.5 1. 0. !a(i),t(i),d(i),l(i) 7.8957634722828 0.875 1. 0. -8.7803203303561 1.0 1. 0. 0.31802509345418 0.5 2. 0. -0.26145533859358 0.75 2. 0. -0.0078199751687981 0.375 3. 0. 0.0088089493102134 1.0 4. 0. -0.66856572307965 4.0 1. 1. 0.20433810950965 6.0 1. 1. -0.66212605039687e-4 12.0 1. 1. -0.19232721156002 1.0 2. 1. -0.25709043003438 5.0 2. 1. 0.16074868486251 4.0 3. 1. -0.040092828925807 2.0 4. 1. 0.39343422603254e-6 13.0 4. 1. -0.75941377088144e-5 9.0 5. 1. 0.00056250979351888 3.0 7. 1. -0.15608652257135e-4 4.0 9. 1. 0.11537996422951e-8 11.0 10. 1. 0.36582165144204e-6 4.0 11. 1. -0.13251180074668e-11 13.0 13. 1. -0.62639586912454e-9 1.0 15. 1. -0.10793600908932 7.0 1. 2. 0.017611491008752 1.0 2. 2. 0.22132295167546 9.0 2. 2. -0.40247669763528 10.0 2. 2. 0.58083399985759 10.0 3. 2. 0.0049969146990806 3.0 4. 2. -0.031358700712549 7.0 4. 2. -0.74315929710341 10.0 4. 2. 0.47807329915480 10.0 5. 2. 0.020527940895948 6.0 6. 2. -0.13636435110343 10.0 6. 2. 0.014180634400617 10.0 7. 2. 0.0083326504880713 1.0 9. 2. -0.029052336009585 2.0 9. 2. 0.038615085574206 3.0 9. 2. -0.020393486513704 4.0 9. 2. -0.0016554050063734 8.0 9. 2. 0.0019955571979541 6.0 10. 2. 0.00015870308324157 9.0 10. 2. -0.1638856834253e-4 8.0 12. 2. 0.043613615723811 16.0 3. 3. 0.034994005463765 22.0 4. 3. -0.076788197844621 23.0 4. 3. 0.022446277332006 23.0 5. 3. -0.62689710414685e-4 10.0 14. 4. -0.55711118565645e-9 50.0 3. 6. -0.19905718354408 44.0 6. 6. 0.31777497330738 46.0 6. 6. -0.11841182425981 50.0 6. 6. -31.306260323435 0.0 3. 2. 2. -20.0 -150.0 1.21 1.0 0. 0. 0. 31.546140237781 1.0 3. 2. 2. -20.0 -150.0 1.21 1.0 0. 0. 0. -2521.3154341695 4.0 3. 2. 2. -20.0 -250.0 1.25 1.0 0. 0. 0. -0.14874640856724 0.0 1. 2. 2. 0.85 0.3 0.32 28.0 700.0 0.2 3.5 0.31806110878444 0.0 1. 2. 2. 0.95 0.3 0.32 32.0 800.0 0.2 3.5 #AUX !---Auxiliary function for Cp0 CPP !Ideal gas heat capacity function for water of Wagner and Pruss (2002). ? ?``````````````````````````````````````````````````````````````````````````````` ?Wagner, W. and Pruss, A., 2002. ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 1.0 8.314371357587 !Reducing parameters for T, Cp0 1 5 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh 4.00632 0.0 0.012436 833.0 0.97315 2289.0 1.2795 5009.0 0.96956 5982.0 0.24873 17800.0 #AUX !---Auxiliary function for PX0 PX0 !Helmholtz energy ideal-gas function for water of Wagner and Pruss (2002). ? ?``````````````````````````````````````````````````````````````````````````````` ?Wagner, W. and Pruss, A., 2002. ? !``````````````````````````````````````````````````````````````````````````````` 1 2 5 0 0 0 0 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau)) 3.00632 1.0 !ai, ti for [ai*log(tau**ti)] terms -8.3204464837678032 0.0 !aj, ti for [ai*tau**ti] terms 6.6832105275977254 1.0 !aj, ti for [ai*tau**ti] terms 0.012436 833.0 !aj, ti for [ai*log(1-exp(-ti/T)] terms 0.97315 2289.0 1.2795 5009.0 0.96956 5982.0 0.24873 17800.0 #AUX !---Auxiliary function for PH0 PH0 !Ideal gas Helmholtz form for water. ? ?``````````````````````````````````````````````````````````````````````````````` ?Wagner, W. and Pruss, A., 2002. ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 1 2 5 0 0 0 0 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau)); cosh; sinh 3.00632 1.0 !ai, ti for [ai*log(tau**ti)] terms -8.32044648201 0.0 !aj, ti for [ai*tau**ti] terms 6.6832105268 1.0 0.012436 -1.28728967 !aj, ti for [ai*log(1-exp(ti*tau)] terms 0.97315 -3.53734222 01.2795 -7.74073708 0.96956 -9.24437796 0.24873 -27.5075105 -------------------------------------------------------------------------------- @EOS !---Equation of state--- FEK !Helmholtz equation of state for water of Kunz and Wagner (2004). ? ?``````````````````````````````````````````````````````````````````````````````` ?Kunz, O., Klimeck, R., Wagner, W., Jaeschke, M. ? "The GERG-2004 Wide-Range Equation of State for Natural Gases ? and Other Mixtures," GERG Technical Monograph 15, ? Fortschritt-Berichte VDI, VDI-Verlag, Düsseldorf, 2007. ? !``````````````````````````````````````````````````````````````````````````````` 273.16 !Lower temperature limit [K] 1350.0 !Upper temperature limit [K] 1000000.0 !Upper pressure limit [kPa] 73.96 !Maximum density [mol/L] PHK !Pointer to Cp0 model 18.01528 !Molar mass [g/mol] 273.16 !Triple point temperature [K] 0.61248 !Pressure at triple point [kPa] 55.49696 !Density at triple point [mol/L] 373.17 !Normal boiling point temperature [K] 0.345 !Acentric factor 647.096 22064.0 17.87371609 !Tc [K], pc [kPa], rhoc [mol/L] 647.096 17.87371609 !Reducing parameters [K, mol/L] 8.314472 !Gas constant [J/mol-K] 16 4 0 0 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms 0.82728408749586 0.5 1. 0. -1.8602220416584 1.25 1. 0. -1.1199009613744 1.875 1. 0. 0.15635753976056 0.125 2. 0. 0.87375844859025 1.5 2. 0. -0.36674403715731 1.0 3. 0. 0.053987893432436 0.75 4. 0. 1.0957690214499 1.5 1. 1. 0.053213037828563 0.625 5. 1. 0.013050533930825 2.625 5. 1. -0.41079520434476 5.0 1. 2. 0.14637443344120 4.0 2. 2. -0.055726838623719 4.5 4. 2. -0.0112017741438 3.0 4. 3. -0.0066062758068099 4.0 1. 5. 0.0046918522004538 6.0 1. 5. @AUX !---Auxiliary function for PH0 PHK !Ideal gas Helmholtz form for water of Kunz and Wagner (2004). ? ?``````````````````````````````````````````````````````````````````````````````` ?Kunz, O., Klimeck, R., Wagner, W., Jaeschke, M. ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 1 2 0 1 2 0 0 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau)); cosh; sinh 3.00392 1.0 !ai, ti for [ai*log(tau**ti)] terms 8.20352069 0.0 !aj, ti for [ai*tau**ti] terms -11.996306443 1.0 -0.98763 1.763895929 !aj, ti for cosh and sinh terms 0.01059 0.415386589 3.06904 3.874803739 @EOS !---Equation of state--- FE1 !Helmholtz equation of state for water of Saul and Wagner (1989). ? ?``````````````````````````````````````````````````````````````````````````````` ?Saul, A. and Wagner, W., ? "A Fundamental Equation for Water Covering the Range From the ? Melting Line to 1273 K at Pressures up to 25000 MPa," ? J. Phys. Chem. Ref. Data, 18(4):1537-1564, 1989. doi: 10.1063/1.555836 ? !``````````````````````````````````````````````````````````````````````````````` 273.16 !Lower temperature limit [K] 1273.0 !Upper temperature limit [K] 400000.0 !Upper pressure limit [kPa] 55.49 !Maximum density [mol/L] CP1 !Pointer to Cp0 model 18.01534 !Molar mass [g/mol] 273.16 !Triple point temperature [K] 0.61166 !Pressure at triple point [kPa] 55.497 !Density at triple point [mol/L] 373.15 !Normal boiling point temperature [K] 0.341 !Acentric factor 647.14 22064.0 17.8737 !Tc [K], pc [kPa], rhoc [mol/L] 647.14 17.8737 !Reducing parameters [K, mol/L] 8.31434 !Gas constant [J/mol-K] 38 4 0 0 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms 0.2330009013 0.0 1. 0. !a(i),t(i),d(i),l(i) -1.402091128 2.0 1. 0. 0.1172248041 0.0 2. 0. -0.1850749499 1.0 2. 0. 0.1770110422 2.0 2. 0. 0.05525151794 3.0 2. 0. -0.000341325738 5.0 3. 0. 0.0008557274367 0.0 5. 0. 0.0003716900685 1.0 5. 0. -0.0001308871233 3.0 6. 0. 0.3216895199e-4 2.0 7. 0. 0.2785881034e-6 5.0 8. 0. -0.352151113 5.0 1. 2. 0.07881914536 7.0 1. 2. -0.0151966661 9.0 1. 2. -0.1068458586 5.0 2. 2. -0.2055046288 4.0 3. 2. 0.9146198012 6.0 3. 2. 0.0003213343569 13.0 3. 2. -1.133591391 5.0 4. 2. -0.3107520749 2.0 5. 2. 1.217901527 3.0 5. 2. -0.4481710831 2.0 6. 2. 0.05494218772 0.0 7. 2. -0.8665222096e-4 11.0 7. 2. 0.03844084088 1.0 8. 2. 0.009853044884 4.0 8. 2. -0.01767598472 0.0 9. 2. 0.001488549222 0.0 11. 2. -0.003070719069 3.0 11. 2. 0.00388080328 5.0 11. 2. -0.002627505215 6.0 11. 2. 0.0005258371388 7.0 11. 2. -0.1716396901 13.0 2. 3. 0.07188823624 14.0 2. 3. 0.05881268357 15.0 3. 3. -0.0145593888 24.0 3. 3. -0.012161394 15.0 5. 3. @AUX !---Auxiliary function for Cp0 CP1 !Ideal gas heat capacity function for water. ? ?``````````````````````````````````````````````````````````````````````````````` ?Saul, A. and Wagner, W., ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 1.0 8.31434 !Reducing parameters for T, Cp0 1 5 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh 4.00632 0.0 0.012436 833.0 0.97315 2289.0 1.2795 5009.0 0.96956 5982.0 0.24873 17800.0 @EOS !---Cubic equation of state--- PRT !Translated Peng-Robinson equation for water. ? ?``````````````````````````````````````````````````````````````````````````````` ?Volume translation of Peng Robinson EOS. ? Translation computed so that density at Tr=0.7 matches FEQ Helmholtz equation ? of state for water of Wagner and Pruss (2002) ? !``````````````````````````````````````````````````````````````````````````````` 273.16 !Lower temperature limit [K] 2000.0 !Upper temperature limit [K] 1000000.0 !Upper pressure limit [kPa] 73.96 !Maximum density [mol/L] CPP !Pointer to Cp0 model 18.015268 !Molar mass [g/mol] 0.3443 !Acentric factor 647.096 !Critical temperature [K] 22064.0 !Critical pressure [kPa] 17.8737279956 !Critical density [mol/L] 8.314472 !Gas constant [J/mol-K] 1 !Number of parameters 0.0043451 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ #ETA !---Viscosity--- VS0 !Pure fluid viscosity model for water of Huber et al. (2009). :DOI: 10.1063/1.3088050 :WEB: http://www.iapws.org/relguide/viscosity.html ? ?``````````````````````````````````````````````````````````````````````````````` ?Huber, M.L., Perkins, R.A., Laesecke, A., Friend, D.G., Sengers, J.V., and Assael, M.J., ? Metaxa, I.M., Vogel, E., Mares, R., and Miyagawa, K., ? "New International Formulation for the Viscosity of Water," ? J. Phys. Chem. Ref. Data, 38(2):101-125, 2009. ? doi: 10.1063/1.3088050 ? ?International Association for the Properties of Water and Steam, ? "Release on the IAPWS Formulation 2008 for the Viscosity of Ordinary Water Substance," ? Sept. 2008, Berlin. ? http://www.iapws.org/relguide/viscosity.html ? ?For the uncertainties, see the IAPWS Release or the publication cited above. ? NOTE: To use in faster 'industrial' mode, change critical model at end of this VS0 block ? to NUL instead of I08. ? !``````````````````````````````````````````````````````````````````````````````` 251.165 !Lower temperature limit [K] 1350.0 !Upper temperature limit [K] 1000000.0 !Upper pressure limit [kPa] 73.96 !Maximum density [mol/L] H2O !Pointer to hardcoded thermal conductivity model 0 0 4 21 0 0 0 0 !Number of terms for various pieces 647.096 17.8737279956 100.0 !Reducing parameters for T, rho, eta 1.67752 0. 0. 0. 0 !Coefficient, power in T 2.20462 1. 0. 0. 0 0.6366564 2. 0. 0. 0 -0.241605 3. 0. 0. 0 0.520094 0. 0. 0. 0 0.0850895 1. 0. 0. 0 0.222531 0. 1. 0. 0 0.999115 1. 1. 0. 0 1.88797 2. 1. 0. 0 1.26613 3. 1. 0. 0 -0.281378 0. 2. 0. 0 -0.906851 1. 2. 0. 0 -0.772479 2. 2. 0. 0 0.161913 0. 3. 0. 0 0.257399 1. 3. 0. 0 -0.0325372 0. 4. 0. 0 0.0698452 3. 4. 0. 0 -0.00435673 3. 6. 0. 0 -1.08374 2. 0. 0. 0 -0.289555 3. 0. 0. 0 0.120573 5. 1. 0. 0 -0.489837 3. 2. 0. 0 -0.257040 4. 2. 0. 0 0.00872102 4. 5. 0. 0 -0.000593264 5. 6. 0. 0 I08 !Pointer to critical enhancement auxiliary function 2008 IAPWS formulation ================================================================================ #TCX !---Thermal conductivity--- TC0 !Pure fluid thermal conductivity model for water of Huber et al. (2011). :DOI: 10.1063/1.4738955 :WEB: http://www.iapws.org/relguide/ThCond.html ? ?``````````````````````````````````````````````````````````````````````````````` ?Huber, M.L., Perkins, R.A., Friend, D.G., and Sengers, J.V., ? Assael, M.J., Metaxa, I.N., Miyagawa, K., Hellmann, R., and Vogel, E. ? "New International Formulation for the Thermal Conductivity of H2O," ? J. Phys. Chem. Ref. Data, 41(3), 033102, 2012. ? doi: 10.1063/1.4738955 ? ?International Association for the Properties of Water and Steam, ? "Release on the IAPWS Formulation 2011 for the Thermal Conductivity of Ordinary Water Substance," ? Sept. 2011, Plzen, Czech Republic. ? http://www.iapws.org/relguide/ThCond.html ? ?For the uncertainties, see the IAPWS Release or publication cited above. ? !``````````````````````````````````````````````````````````````````````````````` 251.165 !Lower temperature limit [K] 1350.0 !Upper temperature limit [K] 1000000.0 !Upper pressure limit [kPa] 73.96 !Maximum density [mol/L] H2O !Pointer to hardcoded thermal conductivity model 5 0 30 0 0 0 0 0 !Number of terms for various pieces 647.096 17.8737279956 0.001 0. 0 !Reducing parameters for T, rho, tcx 0.002443221 0. 0. 0. 0 !Coefficient, power in T 0.01323095 1. 0. 0. 0 0.006770357 2. 0. 0. 0 -0.003454586 3. 0. 0. 0 4.096266e-4 4. 0. 0. 0 1.60397357 0. 0. 0. 0 2.33771842 1. 0. 0. 0 2.19650529 2. 0. 0. 0 -1.21051378 3. 0. 0. 0 -2.720337 4. 0. 0. 0 -0.646013523 0. 1. 0. 0 -2.78843778 1. 1. 0. 0 -4.54580785 2. 1. 0. 0 1.60812989 3. 1. 0. 0 4.57586331 4. 1. 0. 0 0.111443906 0. 2. 0. 0 1.53616167 1. 2. 0. 0 3.55777244 2. 2. 0. 0 -0.621178141 3. 2. 0. 0 -3.18369245 4. 2. 0. 0 0.102997357 0. 3. 0. 0 -0.463045512 1. 3. 0. 0 -1.40944978 2. 3. 0. 0 0.0716373224 3. 3. 0. 0 1.11683480 4. 3. 0. 0 -0.0504123634 0. 4. 0. 0 0.0832827019 1. 4. 0. 0 0.275418278 2. 4. 0. 0 0.0 3. 4. 0. 0 -0.19268305 4. 4. 0. 0 0.00609859258 0. 5. 0. 0 -0.00719201245 1. 5. 0. 0 -0.0205938816 2. 5. 0. 0 0.0 3. 5. 0. 0 0.012913842 4. 5. 0. 0 TK3 !Pointer to critical enhancement auxiliary function #AUX !---Auxiliary function for the thermal conductivity critical enhancement TK3 !Simplified thermal conductivity critical enhancement for water of Huber et al. (2012). ? ?``````````````````````````````````````````````````````````````````````````````` ?Huber, M.L., Perkins, R.A., Friend, D.G., Sengers, J.V., and Assael, M.J., ? Metaxa, I.N., Miyagawa, K., Hellmann, R., and Vogel, E., ? "New International Formulation for the Thermal Conductivity of H2O," ? J. Phys. Chem. Ref. Data, 41(3), 033102, 2012. ? doi: 10.1063/1.4738955 ? !``````````````````````````````````````````````````````````````````````````````` 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) 1.239 !Gamma (universal exponent) 1.01 !R0 (universal amplitude)was 1.03 and 1.05 and 1.01 0.068 !Z (universal exponent--not used for t.c., only viscosity)was0.069 1.0 !C (constant in viscosity eqn = 1/[2 - (alpha + gamma)/(2*nu)], but often set to 1) 0.13e-9 !Xi0 (amplitude) [m]was 1.094 0.060 !Gam0 (amplitude) [-] was 0.0496 0.4e-9 !Qd_inverse (modified effective cutoff parameter) [m]; May 22 2010 new value from Jan 970.644 !Tref (reference temperature) [= 1.5 * 647.096 K] ******************************************************************************** @ETA !---Viscosity--- VS4 !Pure fluid generalized friction theory viscosity model for water of Quinones-Cisneros and Deiters (2006). ? ?``````````````````````````````````````````````````````````````````````````````` ?Quinones-Cisneros, S.E. and Deiters, U.K., ? "Generalization of the Friction Theory for Viscosity Modeling," ? J. Phys. Chem. B, 110(25):12820-12834, 2006. doi: 10.1021/jp0618577 ? !``````````````````````````````````````````````````````````````````````````````` 273.16 !Lower temperature limit [K] 2000.0 !Upper temperature limit [K] 1000000.0 !Upper pressure limit [kPa] 73.96 !Maximum density [mol/L] 5 0 0 0 0 0 !Number of terms associated with dilute-gas function NUL !Pointer to reduced effective collision cross-section model; not used 0.2641 !Lennard-Jones coefficient sigma [nm] for ECS method (not used) 809.1 !Lennard-Jones coefficient epsilon/kappa [K] for ECS method (not used) 647.096 1.0 !Reducing parameters for T, eta 0.0 0.5 !Chapman-Enskog term; not used here 151.138 0.0 !Empirical terms for eta0 -444.318 0.25 398.262 0.50 -81.7008 0.75 0 !Number of terms for initial density dependence -1.17407105202836e-5 -3.7885481870852e-7 3.56742875797909e-8 0. 0. ! a(0),a(1),a(2) 1.62216397984014e-6 -8.36595322447571e-6 9.10862531286788e-8 0. 0. ! b(0),b(1),b(2) 1.92706925578893e-5 -1.28679815491711e-5 0.0 0. 0. ! c(0),c(1),c(2) -3.3014489991861e-10 0.0 1.02931444103415e-11 0. 0. ! A(0),A(1),A(2) 5.03139997945133e-10 1.8230418238056e-10 0.0 0. 0. ! B(0),B(1),B(2) 8.01449084635477e-10 5.65613687804585e-9 1.10163426018591e-10 0. 0. ! C(0),C(1),C(2) 0.0 0.0 0.0 0. 0. ! D(0),D(1),D(2) 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 (R134a reference); predictive mode for water. ? ?``````````````````````````````````````````````````````````````````````````````` ?Klein, S.A., McLinden, M.O., and Laesecke, A., "An Improved Extended Corresponding States Method for Estimation of Viscosity of Pure Refrigerants and Mixtures," Int. J. Refrigeration, 20(3):208-217, 1997. doi: 10.1016/S0140-7007(96)00073-4. ?McLinden, M.O., Klein, S.A., and Perkins, R.A., "An Extended Corresponding States Model for the Thermal Conductivity of Refrigerants and Refrigerant Mixtures," Int. J. Refrigeration, 23(1):43-63, 2000. doi: 10.1016/S0140-7007(99)00024-9 ? ?The Lennard-Jones parameters were taken from Reid, R.C., Prausnitz, J.M., and Poling, B.E., "The Properties of Gases and Liquids," 4th edition, New York, McGraw-Hill Book Company, 1987. ? !``````````````````````````````````````````````````````````````````````````````` 273.16 !Lower temperature limit [K] 1350.0 !Upper temperature limit [K] 1000000.0 !Upper pressure limit [kPa] 73.96 !Maximum density [mol/L] FEQ R134A.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) 0.2641 !Lennard-Jones coefficient sigma [nm] for ECS method 809.1 !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 water from IAPWS. :DOI: :WEB: http://www.iapws.org/relguide/Surf-H2O.html ? ?``````````````````````````````````````````````````````````````````````````````` ?International Association for the Properties of Water and Steam, ? "Revised Release on Surface Tension of Ordinary Water Substance," ? IAPWS R1-76, June 2014. ? http://www.iapws.org/relguide/Surf-H2O.html ? ?For the uncertainties in surface tension, see the IAPWS Release. ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 2 !Number of terms in surface tension model 647.096 !Critical temperature used in fit (dummy) 0.2358 1.256 !Sigma0 and n -0.147375 2.256 #DE !---Dielectric constant--- DE2 !Dielectric constant model for water of Fernandez et al. (1997). :DOI: 10.1063/1.555997 ? ?``````````````````````````````````````````````````````````````````````````````` ?Fernandez, D.P., Goodwin, A.R.H., Lemmon, E.W., and Levelt Sengers, J.M.H., ? and Williams, R.C., ? "A Formulation for the Static Permittivity of Water and Steam at ? Temperatures from 238 K to 873 K at Pressures up to 1200 MPa, ? Including Derivatives and Debye-Huckel Coefficients," ? J. Phys. Chem. Ref. Data, 26(4):1125-1165, 1997. doi: 10.1063/1.555997 ? !``````````````````````````````````````````````````````````````````````````````` 273.16 !Lower temperature limit [K] 13500.0 !Upper temperature limit [K] 0. ! 0. ! 647.096 17.8737279956 1.0 !Reducing parameters for T and D 11 1 0 0 0 0 !Number of terms in dielectric constant model 0.978224486826 0.25 1.0 0.0 !Coefficient, T exp, D exp, P exp -0.957771379375 1.0 1.0 0.0 0.237511794148 2.5 1.0 0.0 0.714692244396 1.5 2.0 0.0 -0.298217036956 1.5 3.0 0.0 -0.108863472196 2.5 3.0 0.0 0.0949327488264 2.0 4.0 0.0 -0.00980469816509 2.0 5.0 0.0 0.16516763497e-4 5.0 6.0 0.0 0.937359795772e-4 0.5 7.0 0.0 -0.12317921872e-9 10.0 10.0 0.0 0.00196096504426 228.0 1.0 1.2 #MLT !---Melting line--- MLW !Melting line model for water of Wagner et al. (2010). :DOI: 10.1063/1.3657937 ? ?``````````````````````````````````````````````````````````````````````````````` ?Wagner, W., Riethmann, T., Feistel, R., and Harvey, A.H., ? "New Equations for the Sublimation Pressure and Melting Pressure of ? H2O Ice Ih," ? J. Phys. Chem. Ref. Data, 40, 043103, 2011. doi: 10.1063/1.3657937 ? !``````````````````````````````````````````````````````````````````````````````` 251.165 !Lower temperature limit [K] 1350.0 !Upper temperature limit [K] 0. ! 0. ! 1.0 1.0 !Reducing temperature and pressure 0 0 0 0 0 0 !Number of terms in melting line equation #SBL !---Sublimation line--- SB2 !Sublimation line model for water of Wagner et al. (2010). :DOI: 10.1063/1.3657937 ? ?``````````````````````````````````````````````````````````````````````````````` ?Wagner, W., Riethmann, T., Feistel, R., and Harvey, A.H., ? "New Equations for the Sublimation Pressure and Melting Pressure of H2O Ice Ih," ? J. Phys. Chem. Ref. Data, 40, 043103, 2011. doi: 10.1063/1.3657937 ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 273.16 !Upper temperature limit [K] 0. ! 0. ! 273.16 0.611657 !Reducing temperature and pressure 3 0 0 0 0 0 !Number of terms in sublimation line equation -21.2144006 -0.99666666667 !Coefficients and exponents 27.3203819 0.20666667 -6.10598130 0.70333333 #PS !---Vapor pressure--- PS5 !Vapor pressure equation for water of Wagner and Pruss (2002). ? ?``````````````````````````````````````````````````````````````````````````````` ?Wagner, W. and Pruss, A., 2002. ? ?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. ! 647.096 22064.0 !Reducing parameters 6 0 0 0 0 0 !Number of terms in equation -7.85951783 1.0 1.84408259 1.5 -11.7866497 3.0 22.6807411 3.5 -15.9618719 4.0 1.80122502 7.5 #DL !---Saturated liquid density--- DL2 !Saturated liquid density equation for water of Wagner and Pruss (2002). ? ?``````````````````````````````````````````````````````````````````````````````` ?Wagner, W. and Pruss, A., 2002. ? ?Functional Form: D=Dc*[1+SUM(Ni*Theta^(ti/3))] where Theta=1-T/Tc, Tc and Dc are ? the reducing parameters below, which are followed by rows containing Ni and ti. ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 647.096 17.8737279956 !Reducing parameters 6 0 0 0 0 0 !Number of terms in equation 1.99274064 1.0 1.09965342 2.0 -0.510839303 5.0 -1.75493479 16.0 -45.5170352 43.0 -674694.45 110.0 #DV !---Saturated vapor density--- DV4 !Saturated vapor density equation for water of Wagner and Pruss (2002). ? ?``````````````````````````````````````````````````````````````````````````````` ?Wagner, W. and Pruss, A., 2002. ? ?Functional Form: D=Dc*EXP[SUM(Ni*Theta^(ti/3))] where Theta=1-T/Tc, Tc and Dc are ? the reducing parameters below, which are followed by rows containing Ni and ti. ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 647.096 17.8737279956 !Reducing parameters 6 0 0 0 0 0 !Number of terms in equation -2.03150240 1.0 -2.68302940 2.0 -5.38626492 4.0 -17.2991605 9.0 -44.7586581 18.5 -63.9201063 35.5 @END c 1 2 3 4 5 6 7 8 c2345678901234567890123456789012345678901234567890123456789012345678901234567890 Keep these in here so comparisons can be made if desired. This model was in REFPROPv8 release April 2007 but has been superceded by IAPWS 2008. @ETA !Viscosity model specification VS0 pure fluid viscosity model of Kestin et al. (1984). ? ?``````````````````````````````````````````````````````````````````````````````` ?International Association for the Properties of Water and Steam, ? "Revised Release on the IAPS Formulation 1985 for the Viscosity ? of Ordinary Water Substance," IAPWS, 1997. ? ?Kestin, J., Sengers, J.V., Kamgar-Parsi, B. and Levelt Sengers, J.M.H. ? "Thermophysical Properties of Fluid H2O," ? J. Phys. Chem. Ref. Data, 13(1):175-183, 1984.doi: 10.1063/1.555707 ? ?For the uncertainties in the viscosity, see the IAPWS Release. ? !``````````````````````````````````````````````````````````````````````````````` 251.165 !Lower temperature limit [K] 1350.0 !Upper temperature limit [K] 1000000.0 !Upper pressure limit [kPa] 73.96 !Maximum density [mol/L] H2O !Pointer to hardcoded thermal conductivity model 0 0 4 19 2 0 0 0 !Number of terms for various pieces 647.226 17.6385386 55.071 !Reducing parameters for T, rho, eta 1.0 0. 0. 0. 0 !Coefficient, power in T 0.978197 1. 0. 0. 0 0.579829 2. 0. 0. 0 -0.202354 3. 0. 0. 0 0.5132047 0. 0. 0. 0 0.3205656 1. 0. 0. 0 -0.7782567 4. 0. 0. 0 0.1885447 5. 0. 0. 0 0.2151778 0. 1. 0. 0 0.7317883 1. 1. 0. 0 1.241044 2. 1. 0. 0 1.476783 3. 1. 0. 0 -0.2818107 0. 2. 0. 0 -1.070786 1. 2. 0. 0 -1.263184 2. 2. 0. 0 0.1778064 0. 3. 0. 0 0.4605040 1. 3. 0. 0 0.2340379 2. 3. 0. 0 -0.4924179 3. 3. 0. 0 -0.0417661 0. 4. 0. 0 0.1600435 3. 4. 0. 0 -0.01578386 1. 5. 0. 0 -0.003629481 3. 6. 0. 0 22115.0 0. 0. 0. 0 0.922 0.0263 21.93 0. 0 I85 !Pointer to critical enhancement auxiliary function @SBL !Sublimation line specification SB2 sublimation line model of Wagner et al. (1994). ? ?``````````````````````````````````````````````````````````````````````````````` ?Wagner, W., Saul, A., and Pruss, A., ? "International Equations for the Pressure Along the Melting and Along ? the Sublimation Curve of Ordinary Water Substance," ? J. Phys. Chem. Ref. Data, 23(3):515-527, 1994. ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 273.16 !Upper temperature limit [K] 0. ! 0. ! 273.16 0.611657 !Reducing temperature and pressure 4 0 0 0 0 0 !Number of terms in sublimation line equation -13.928169 0. !Coefficients and exponents 34.7078238 0. 13.928169 -1.5 -34.7078238 -1.25 @TCX !Thermal conductivity model specification TC0 pure fluid thermal conductivity model of Kestin et al. (1984). ? ?``````````````````````````````````````````````````````````````````````````````` ?International Association for the Properties of Water and Steam, ? "Revised Release on the IAPS Formulation 1985 for the Thermal ? Conductivity of Ordinary Water Substance," IAPWS, 2008. ? ?Kestin, J., Sengers, J.V., Kamgar-Parsi, B. and Levelt Sengers, J.M.H. ? "Thermophysical Properties of Fluid H2O," ? J. Phys. Chem. Ref. Data, 13(1):175-183, 1984.doi: 10.1063/1.555707 ? ?For the uncertainties in the thermal conductivity, see the IAPWS Release. ? !``````````````````````````````````````````````````````````````````````````````` 251.165 !Lower temperature limit [K] 1350.0 !Upper temperature limit [K] 1000000.0 !Upper pressure limit [kPa] 73.96 !Maximum density [mol/L] H2O !Pointer to hardcoded thermal conductivity model 4 0 24 0 0 0 0 0 !Number of terms for various pieces 647.226 17.6385386 0.4945 0. 0 !Reducing parameters for T, rho, tcx 1.0 0. 0. 0. 0 !Coefficient, power in T 6.978267 1. 0. 0. 0 2.599096 2. 0. 0. 0 -0.998254 3. 0. 0. 0 1.3293046 0. 0. 0. 0 1.7018363 1. 0. 0. 0 5.2246158 2. 0. 0. 0 8.7127675 3. 0. 0. 0 -1.8525999 4. 0. 0. 0 -0.40452437 0. 1. 0. 0 -2.2156845 1. 1. 0. 0 -10.124111 2. 1. 0. 0 -9.5000611 3. 1. 0. 0 0.9340469 4. 1. 0. 0 0.2440949 0. 2. 0. 0 1.6511057 1. 2. 0. 0 4.9874687 2. 2. 0. 0 4.3786606 3. 2. 0. 0 0.018660751 0. 3. 0. 0 -0.76736002 1. 3. 0. 0 -0.27297694 2. 3. 0. 0 -0.91783782 3. 3. 0. 0 -0.12961068 0. 4. 0. 0 0.37283344 1. 4. 0. 0 -0.43083393 2. 4. 0. 0 0.044809953 0. 5. 0. 0 -0.11203160 1. 5. 0. 0 0.13333849 2. 5. 0. 0 TK3 !Pointer to critical enhancement auxiliary function