Oxygen !Short name 7782-44-7 !CAS number Oxygen !Full name O2 !Chemical formula {O2} R-732 !Synonym 31.9988 !Molar mass [g/mol] 54.361 !Triple point temperature [K] 90.1878 !Normal boiling point [K] 154.581 !Critical temperature [K] 5043.0 !Critical pressure [kPa] 13.63 !Critical density [mol/L] 0.0222 !Acentric factor 0.0 !Dipole moment [Debye]; (exactly zero due to symmetry) OT0 !Default reference state 298.15 101.325 8680.0 205.043 !Tref, Pref, Href, Sref 10.0 !Version number 1072, 1073 !UN Number :UN: cryogen !Family :Family: 0.0 !Heating value (upper) [kJ/mol] :Heat: 1S/O2/c1-2 !Standard InChI String :InChi: MYMOFIZGZYHOMD-UHFFFAOYSA-N !Standard InChI Key :InChiKey: ed016370 (argon) !Alternative fluid for mixing rules :AltID: edc36840 !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 ! 01-23-97 EWL, Original version. ! 06-24-98 EWL, Add Younglove BWR equation. ! 06-26-98 EWL, Add Younglove transport equations. ! 10-27-99 EWL, Add Span 12 term equation. ! 11-26-02 EWL, Change reference state to OT0 with values from CODATA. ! 01-29-02 EWL, Add sublimation line. ! 06-10-03 EWL, Finalize transport equations. ! 08-05-04 EWL, Add Harvey and Lemmon dielectric correlation. ! 11-18-04 MLH, Add tPr coeff. ! 09-14-06 EWL, Change upper T limit from 1000 to 2000 K. ! 12-02-06 MLH, Update LJ for ECS. ! 03-27-07 EWL, Add Cp0 equation of Roland Span. ! 08-17-10 IDC, Add ancillary equations. ! 12-06-12 EWL, Add surface tension coefficients of Mulero et al. (2012). ! 08-06-17 EWL, Change melting point at Ttrp to match triple point pressure of Schmidt and Wagner. ________________________________________________________________________________ #EOS !---Equation of state--- FEQ !Helmholtz equation of state for oxygen of Schmidt and Wagner (1985). :TRUECRITICALPOINT: 154.599 13.342189 !True EOS critical point [K, mol/L] (where dP/dD=0 and d^2P/dD^2=0 at constant T) :DOI: 10.1016/0378-3812(85)87016-3 ? ?``````````````````````````````````````````````````````````````````````````````` ?Schmidt, R. and Wagner, W., ? "A New Form of the Equation of State for Pure Substances and its ? Application to Oxygen," ? Fluid Phase Equilib., 19:175-200, 1985. ? ?also published in: ? ?Stewart, R.B., Jacobsen, R.T, and Wagner, W., ? "Thermodynamic Properties of Oxygen from the Triple Point to 300 K ? with Pressures to 80 MPa," ? J. Phys. Chem. Ref. Data, 20(5):917-1021, 1991. ? ?The uncertainties of the equation of state are 0.15% in vapor pressure, 0.1% in ? density, 2% in heat capacity, and 1% in the speed of sound, except in the ? critical region. ? !``````````````````````````````````````````````````````````````````````````````` 54.361 !Lower temperature limit [K] 2000.0 !Upper temperature limit [K] 82000.0 !Upper pressure limit [kPa] 43.348 !Maximum density [mol/L] CPP !Pointer to Cp0 model 31.9988 !Molar mass [g/mol] 54.361 !Triple point temperature [K] 0.14628 !Pressure at triple point [kPa] 40.816 !Density at triple point [mol/L] 90.1878 !Normal boiling point temperature [K] 0.0222 !Acentric factor 154.581 5043.0 13.63 !Tc [K], pc [kPa], rhoc [mol/L] 154.581 13.63 !Reducing parameters [K, mol/L] 8.31434 !Gas constant [J/mol-K] 32 4 0 0 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms 0.3983768749 0.0 1. 0. !a(i),t(i),d(i),l(i) -1.846157454 1.5 1. 0. 0.4183473197 2.5 1. 0. 0.02370620711 -0.5 2. 0. 0.09771730573 1.5 2. 0. 0.03017891294 2.0 2. 0. 0.02273353212 0.0 3. 0. 0.01357254086 1.0 3. 0. -0.04052698943 2.5 3. 0. 0.0005454628515 0.0 6. 0. 0.0005113182277 2.0 7. 0. 0.2953466883e-6 5.0 7. 0. -0.8687645072e-4 2.0 8. 0. -0.2127082589 5.0 1. 2. 0.08735941958 6.0 1. 2. 0.127550919 3.5 2. 2. -0.09067701064 5.5 2. 2. -0.03540084206 3.0 3. 2. -0.03623278059 7.0 3. 2. 0.0132769929 6.0 5. 2. -0.0003254111865 8.5 6. 2. -0.008313582932 4.0 7. 2. 0.002124570559 6.5 8. 2. -0.0008325206232 5.5 10. 2. -0.2626173276e-4 22.0 2. 4. 0.002599581482 11.0 3. 4. 0.009984649663 18.0 3. 4. 0.002199923153 11.0 4. 4. -0.02591350486 23.0 4. 4. -0.1259630848 17.0 5. 4. 0.1478355637 18.0 5. 4. -0.01011251078 23.0 5. 4. #AUX !---Auxiliary function for Cp0 CPP !Ideal gas heat capacity function for oxygen of Schmidt and Wagner (1985). ? ?``````````````````````````````````````````````````````````````````````````````` ?Refit by Roland Span of the Schmidt and Wagner equation listed below ? to account for the electronic contribution up to 2000 K with ? Planck-Einstein terms only. ? ?Schmidt, R. and Wagner, W., ? "A New Form of the Equation of State for Pure Substances and its ? Application to Oxygen," ? Fluid Phase Equilib., 19:175-200, 1985. ? !``````````````````````````````````````````````````````````````````````````````` 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 3.51808732 0.0 1.02323928 2246.3244 0.784357918 11259.9763 0.00337183363 1201.26209 -0.0170864084 69.0089445 0.0463751562 5328.05445 #AUX !---Auxiliary function for PX0 PX0 !Helmholtz energy ideal-gas function for oxygen of Schmidt and Wagner (1985). ? ?``````````````````````````````````````````````````````````````````````````````` ?Refit by Roland Span of the Schmidt and Wagner equation listed below ? to account for the electronic contribution up to 2000 K with ? Planck-Einstein terms only. ? ?Schmidt, R. and Wagner, W., ? "A New Form of the Equation of State for Pure Substances and its ? Application to Oxygen," ? Fluid Phase Equilib., 19:175-200, 1985. ? !``````````````````````````````````````````````````````````````````````````````` 1 2 5 0 0 0 0 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau)) 2.51808732 1.0 !ai, ti for [ai*log(tau**ti)] terms -14.7168366664971053 0.0 !aj, ti for [ai*tau**ti] terms -0.0110839854084588 1.0 !aj, ti for [ai*tau**ti] terms 1.02323928 2246.3244 !aj, ti for [ai*log(1-exp(-ti/T)] terms 0.784357918 11259.9763 0.00337183363 1201.26209 -0.0170864084 69.0089445 0.0463751562 5328.05445 #AUX !---Auxiliary function for PH0 PH0 !Ideal gas Helmholtz form for oxygen. ? ?``````````````````````````````````````````````````````````````````````````````` ?Refit by Roland Span of the Schmidt and Wagner equation listed above. ? !``````````````````````````````````````````````````````````````````````````````` 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 2.51808732 1.0 !ai, ti for [ai*log(tau**ti)] terms -14.7168366665 0.0 !aj, ti for [ai*tau**ti] terms -0.0110839854 1.0 1.02323928 -14.5316979448 !aj, ti for [ai*log(1-exp(ti*tau)] terms 0.784357918 -72.8419165357 0.0033718336 -7.7710849975 -0.0170864084 -0.4464257865 0.0463751562 -34.4677188658 @AUX !---Auxiliary function for Cp0 CPx !Ideal gas heat capacity function for oxygen. ? ?``````````````````````````````````````````````````````````````````````````````` ?Schmidt, R. and Wagner, W., ? ?The electronic part of the equation of Schmidt and Wagner is not included here. ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 1.0 8.31434 !Reducing parameters for T, Cp0 3 1 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh 1.06778 -1.5 3.50042 0.0 0.166961e-7 2.0 1.01258 2242.45 -------------------------------------------------------------------------------- @EOS !---Equation of state--- FEK !Helmholtz equation of state for oxygen 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. ? !``````````````````````````````````````````````````````````````````````````````` 54.361 !Lower temperature limit [K] 1000.0 !Upper temperature limit [K] 82000.0 !Upper pressure limit [kPa] 43.348 !Maximum density [mol/L] PHK !Pointer to Cp0 model 31.9988 !Molar mass [g/mol] 54.361 !Triple point temperature [K] 0.1460 !Pressure at triple point [kPa] 40.89 !Density at triple point [mol/L] 90.18 !Normal boiling point temperature [K] 0.0236 !Acentric factor 154.595 5061.6 13.63 !Tc [K], pc [kPa], rhoc [mol/L] 154.595 13.63 !Reducing parameters [K, mol/L] 8.314472 !Gas constant [J/mol-K] 12 4 0 0 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms 0.88878286369701 0.250 1. 0. -2.4879433312148 1.125 1. 0. 0.59750190775886 1.5 1. 0. 0.0096501817061881 1.375 2. 0. 0.07197042871277 0.25 3. 0. 0.00022337443000195 0.875 7. 0. 0.18558686391474 0.625 2. 1. -0.03812936803576 1.75 5. 1. -0.15352245383006 3.625 1. 2. -0.026726814910919 3.625 4. 2. -0.025675298677127 14.5 3. 3. 0.0095714302123668 12.0 4. 3. @AUX !---Auxiliary function for PH0 PHK !Ideal gas Helmholtz form for oxygen of Kunz and Wagner (2004). ? ?``````````````````````````````````````````````````````````````````````````````` ?Kunz, O., Klimeck, R., Wagner, W., Jaeschke, M. ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 1 2 0 1 1 0 0 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau)); cosh; sinh 2.50146 1.0 !ai, ti for [ai*log(tau**ti)] terms 10.001843586 0.0 !aj, ti for [ai*tau**ti] terms -14.996095135 1.0 -1.01334 7.223325463 !aj, ti for cosh and sinh terms 1.07558 14.461722565 @EOS !---Equation of state--- FES !Helmholtz equation of state for oxygen of Span and Wagner (2003). ? ?``````````````````````````````````````````````````````````````````````````````` ?Span, R. and Wagner, W. ? "Equations of State for Technical Applications. II. Results for Nonpolar Fluids," ? Int. J. Thermophys., 24(1):41-109, 2003. doi: 10.1023/A:1022310214958 ? ?The uncertainties of the equation of state are approximately 0.2% (to ? 0.5% at high pressures) in density, 1% (in the vapor phase) to 2% in ? heat capacity, 1% (in the vapor phase) to 2% in the speed of sound, and ? 0.2% in vapor pressure, except in the critical region. ? !``````````````````````````````````````````````````````````````````````````````` 54.361 !Lower temperature limit [K] 600.0 !Upper temperature limit [K] 100000.0 !Upper pressure limit [kPa] 43.348 !Maximum density [mol/L] CPP !Pointer to Cp0 model 31.999 !Molar mass [g/mol] 54.361 !Triple point temperature [K] 0.14603 !Pressure at triple point [kPa] 40.885 !Density at triple point [mol/L] 90.182 !Normal boiling point temperature [K] 0.0222 !Acentric factor 154.595 5043.0 13.63 !Tc [K], pc [kPa], rhoc [mol/L] 154.595 13.63 !Reducing parameters [K, mol/L] 8.31451 !Gas constant [J/mol-K] 12 4 0 0 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms 0.88878286 0.25 1. 0. !a(i),t(i),d(i),l(i) -2.4879433 1.125 1. 0. 0.59750191 1.5 1. 0. 0.0096501817 1.375 2. 0. 0.071970429 0.25 3. 0. 0.00022337443 0.875 7. 0. 0.18558686 0.625 2. 1. -0.038129368 1.75 5. 1. -0.15352245 3.625 1. 2. -0.026726815 3.625 4. 2. -0.025675299 14.5 3. 3. 0.0095714302 12.0 4. 3. @EOS !---Equation of state--- BWR !MBWR equation of state for oxygen 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. ? !``````````````````````````````````````````````````````````````````````````````` 54.359 !Lower temperature limit [K] 400.0 !Upper temperature limit [K] 121000.0 !Upper pressure limit [kPa] 40.820 !Maximum density [mol/L] CP1 !Pointer to Cp0 model 31.9988 !Molar mass [g/mol] 54.359 !Triple point temperature [K] 0.148 !Pressure at triple point [kPa] 40.820 !Density at triple point [mol/L] 90.1878 !Normal boiling point temperature [K] 0.0222 !Acentric factor 154.581 5043.0 13.63 !Tc [K], pc [kPa], rhoc [mol/L] 154.581 13.63 !Reducing parameters [K, mol/L] 13.3630620956 !gamma 0.0831411 !Gas constant [L-bar/mol-K] 32 1 !Nterm, Ncoeff per term -0.000436585965 0.2005820677 -4.197909916 187.8215317 -12874.73398 0.1556745888e-4 0.001343639359 -2.228415518 4767.792275 0.4790846641e-6 0.002462611107 -0.192189168 -0.6978320847e-5 -0.0006214145909 -0.1860852567 0.2609791417e-4 -0.2447611408e-6 0.0001457743352 -0.1726492873e-5 -2384.89252 -230180.7796 -27.90303526 94005.77575 -0.04169449637 2.008497853 -0.000125607652 -0.6406362964 -0.2475580168e-7 0.1346309703e-4 -0.116150247e-9 -0.1034699798e-7 0.2365936964e-6 @AUX !---Auxiliary function for Cp0 CP1 !Ideal gas heat capacity function for oxygen of Younglove. ? ?``````````````````````````````````````````````````````````````````````````````` ?Younglove, B.A., ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 1.0 8.31434 !Reducing parameters for T, Cp0 7 1 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh -4981.998537119 -3.0 230.2477799952 -2.0 -3.455653235107 -1.0 3.521876773671 0.0 -0.00004354202160244 1.0 0.1346353450132e-7 2.0 1.620598259591e-11 3.0 1.031468515726 2239.18105 @EOS !---Cubic equation of state--- PRT !Translated Peng-Robinson equation for oxygen. ? ?``````````````````````````````````````````````````````````````````````````````` ?Volume translation of Peng Robinson EOS. ? Translation computed so that sat. liquid density at Tr=0.7 matches FEQ Helmholtz equation ? of state for O2 of Schmidt and Wagner (1985). ? !``````````````````````````````````````````````````````````````````````````````` 54.361 !Lower temperature limit [K] 2000.0 !Upper temperature limit [K] 82000.0 !Upper pressure limit [kPa] 43.348 !Maximum density [mol/L] CPP !Pointer to Cp0 model 31.9988 !Molar mass [g/mol] 0.0222 !Acentric factor 154.581 !Critical temperature [K] 5043.0 !Critical pressure [kPa] 13.63 !Critical density [mol/L] 8.314472 !Gas constant [J/mol-K] 1 !Number of parameters -0.003157 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ #ETA !---Viscosity--- VS1 !Pure fluid viscosity model for oxygen of Lemmon and Jacobsen (2004). :DOI: 10.1023/B:IJOT.0000022327.04529.f3 ? ?``````````````````````````````````````````````````````````````````````````````` ?Lemmon, E.W. and Jacobsen, R.T, ? "Viscosity and Thermal Conductivity Equations for Nitrogen, Oxygen, Argon, and Air," ? Int. J. Thermophys., 25:21-69, 2004. ? ?The uncertainty is 1% in the dilute gas at temperatures above 200 K, and ? 5% in the dilute gas at lower temperatures. The uncertainty is around ? 2% between 270 and 300 K, and increases to 5% outside of this region. ? The uncertainty may be higher in the liquid near the triple point. ? !``````````````````````````````````````````````````````````````````````````````` 54.361 !Lower temperature limit [K] 2000.0 !Upper temperature limit [K] 82000.0 !Upper pressure limit [kPa] 43.348 !Maximum density [mol/L] 1 !Number of terms associated with dilute-gas function CI1 !Pointer to reduced effective collision cross-section model 0.3428 !Lennard-Jones coefficient sigma [nm] 118.5 !Lennard-Jones coefficient epsilon/kappa [K] 1.0 1.0 !Reducing parameters for T, eta 0.151011418 0.5 !Chapman-Enskog term 0 !Number of terms for initial density dependence 0 5 0 0 0 0 !# resid terms: close-packed density; simple poly; numerator of rational poly; denominator of rat. poly; numerator of exponential; denominator of exponential 154.581 13.63 1.0 !Reducing parameters for T, rho, eta 17.67 -0.05 1. 0. 0 !Simple polynomial terms 0.4042 0.0 5. 0. 0 0.0001077 -2.1 12. 0. 0 0.3510 0.0 8. 0. 1 -13.67 -0.5 1. 0. 2 NUL !Pointer to the viscosity critical enhancement auxiliary function (none used) #AUX !---Auxiliary function for the collision integral CI1 !Collision integral model for oxygen of Lemmon and Jacobsen (2004). ? ?``````````````````````````````````````````````````````````````````````````````` ?Lemmon, E.W. and Jacobsen, R.T, 2004. ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 5 !Number of terms 0.431 0 !Coefficient, power of Tstar -0.4623 1 0.08406 2 0.005341 3 -0.00331 4 ================================================================================ #TCX !---Thermal conductivity--- TC1 !Pure fluid thermal conductivity model for oxygen of Lemmon and Jacobsen (2004). :DOI: 10.1023/B:IJOT.0000022327.04529.f3 ? ?``````````````````````````````````````````````````````````````````````````````` ?Lemmon, E.W. and Jacobsen, R.T, ? "Viscosity and Thermal Conductivity Equations for Nitrogen, Oxygen, Argon, and Air," ? Int. J. Thermophys., 25:21-69, 2004. ? ?The uncertainty for the dilute gas is 2% with increasing uncertainties ? near the triple point. The uncertainties range from 3% between 270 and ? 300 K to 5% elsewhere. The uncertainties above 100 MPa are not known due ? to a lack of experimental data. ? !``````````````````````````````````````````````````````````````````````````````` 54.361 !Lower temperature limit [K] 2000.0 !Upper temperature limit [K] 82000.0 !Upper pressure limit [kPa] 43.348 !Maximum density [mol/L] 3 0 !# terms for dilute gas function: numerator, denominator 154.581 0.001 !Reducing parameters for T, tcx 1.036 -97.0 !Coefficient, power in T 6.283 0.9 -4.262 0.6 6 0 !# terms for background gas function: numerator, denominator 154.581 13.63 0.001 !Reducing parameters for T, rho, tcx 15.31 0. 1. 0. !Coefficient, powers of T, rho, exp(rho) 8.898 0. 3. 0. -0.7336 -0.3 4. 0. 6.728 -4.3 5. 2. -4.374 -0.5 7. 2. -0.4747 -1.8 10. 2. TK3 !Pointer to critical enhancement auxiliary function #AUX !---Auxiliary function for the thermal conductivity critical enhancement TK3 !Simplified thermal conductivity critical enhancement for oxygen of Lemmon and Jacobsen (2004). ? ?``````````````````````````````````````````````````````````````````````````````` ?Lemmon, E.W. and Jacobsen, R.T, 2004. ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 9 0 0 0 !# terms: terms, spare, spare, spare 1.0 1.0 1.0 !Reducing parameters for T, rho, tcx [mW/(m-K)] 0.63 !Nu (universal exponent) 1.2415 !Gamma (universal exponent) 1.01 !R0 (universal amplitude) 0.065 !Z (universal exponent--not used for t.c., only viscosity) 1.0 !C (constant in viscosity eqn = 1/[2 - (alpha + gamma)/(2*nu)], but often set to 1) 0.24e-9 !Xi0 (amplitude) [m] 0.055 !Gam0 (amplitude) [-] 0.51e-9 !Qd_inverse (modified effective cutoff parameter) [m] 309.162 !Tref (reference temperature) [K] ******************************************************************************** @TCX !---Thermal conductivity--- TC3 !Pure fluid thermal conductivity model for oxygen 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. ? !``````````````````````````````````````````````````````````````````````````````` 54.361 !Lower temperature limit [K] 600.0 !Upper temperature limit [K] 100000.0 !Upper pressure limit [kPa] 43.348 !Maximum density [mol/L] 0.3437 !Lennard-Jones coefficient sigma [nm] 113.0 !Lennard-Jones coefficient epsilon/kappa [K] 0.15099557923496 !Const in Eq 20 = 5/16*(k*MW/1000/pi/Na)**0.5*1.0d12 0. !Exponent in Eq 20 for T -1.41202117453516 !Eta0 (eq 20): coeffs of {(e/kT)**((4-n)/3)} 8.06267523869911 -19.44147946395 25.78193316324 -20.5167203343277 10.0087040966906 -2.90450673487991 0.459605807669332 -0.0301906029521 0.00097916328 !Coefficient for initial density dependence of viscosity (eq 21); Fv(1) 0.00089116658 !Fv(2) 1.12 !Fv(3) 100. !Fv(4) -21.520741137 !Coefficients for residual viscosity, eqs (22 - 25) 473.50508788 !Ev(2) 11.9072051301147 !Ev(3) -2122.44247203833 !Ev(4) 0. !Ev(5) 0. !Ev(6) 0. !Ev(7) 31.251171918947 !Ev(8) 2.21064 !F 0.000000038896 !Rm NUL !Pointer to the viscosity critical enhancement auxiliary function (none used) @ETA !---Viscosity--- VS2 !Pure fluid viscosity model for oxygen 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. ? !``````````````````````````````````````````````````````````````````````````````` 54.361 !Lower temperature limit [K] 600.0 !Upper temperature limit [K] 100000.0 !Upper pressure limit [kPa] 43.348 !Maximum density [mol/L] CI2 !Pointer to collision integral model 0.3437 !Lennard-Jones coefficient sigma [nm] 113.0 !Lennard-Jones coefficient epsilon/kappa [K] 0.15099557923496 !Const in Eq 19 = 5/16*(k*MW/1000/pi/Na)**0.5*1.0d12 0.0 !Exponent in Eq 20 for T 0.0139279625307 !Coefficient for initial density dependence of viscosity (eq 21); Fv(1) -0.00651536010579 !Fv(2) 1.4 !Fv(3) 100. !Fv(4) -14.45497211 !Coefficients for residual viscosity, eqs (22 - 25) 243.40689667 !Ev(2) 12.9006761056004 !Ev(3) -1949.07966423848 !Ev(4) -0.0562078436742 !Ev(5) 21.3075467849104 !Ev(6) 48.9965711691056 !Ev(7) 13.5942597847419 !Ev(8) NUL !Pointer to the viscosity critical enhancement auxiliary function (none used) @AUX !---Auxiliary function for the collision integral CI2 !Collision integral model for oxygen of Younglove (1982). ? ?``````````````````````````````````````````````````````````````````````````````` ?Younglove, B.A., ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 9 !Number of terms -67.2093902106092 0 !eta0 (eq 20): coeffs of {(e/kT)**((4-n)/3)} 277.148660965491 0 -399.192753863192 0 166.828729537446 0 143.163477478684 0 -191.767060368781 0 98.4332230147836 0 -22.9410694301649 0 2.12402264924749 0 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ @TRN !---ECS Transport--- ECS !Extended Corresponding States model (Nitrogen reference); predictive mode for oxygen. ? ?``````````````````````````````````````````````````````````````````````````````` ?Klein, S.A., McLinden, M.O., and Laesecke, A., "An Improved Extended Corresponding States Method for Estimation of Viscosity of Pure Refrigerants and Mixtures," Int. J. Refrigeration, 20(3):208-217, 1997. doi: 10.1016/S0140-7007(96)00073-4. ?McLinden, M.O., Klein, S.A., and Perkins, R.A., "An Extended Corresponding States Model for the Thermal Conductivity of Refrigerants and Refrigerant Mixtures," Int. J. Refrigeration, 23(1):43-63, 2000. doi: 10.1016/S0140-7007(99)00024-9 ? ?The Lennard-Jones parameters were taken from Lemmon, E.W. and Jacobsen, R.T, "Viscosity and Thermal Conductivity Equations for Nitrogen, Oxygen, Argon, and Air," Int. J. Thermophys., 25:21-69, 2004. ? !``````````````````````````````````````````````````````````````````````````````` 54.361 !Lower temperature limit [K] 1000.0 !Upper temperature limit [K] 82000.0 !Upper pressure limit [kPa] 43.348 !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) 0.3428 !Lennard-Jones coefficient sigma [nm] 118.5 !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 oxygen 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 154.581 !Critical temperature used in fit (dummy) 0.03843 1.225 !Sigma0 and n #DE !---Dielectric constant--- DE3 !Dielectric constant model for oxygen 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 4 0 0 0 !Number of terms in dielectric constant model 3.9578 0. 1. 0. !Coefficient, T exp, D exp 0.0065 1. 1. 0. 0.575 0. 2. 0. 1.028 1. 2. 0. -8.96 0. 2.5 0. -5.15 1. 2.5 0. #MLT !---Melting line--- ML2 !Melting line model for oxygen of Schmidt and Wagner (1985). :DOI: 10.1016/0378-3812(85)87016-3 ? ?``````````````````````````````````````````````````````````````````````````````` ?Schmidt, R. and Wagner, W., ? "A New Form of the Equation of State for Pure Substances and its ? Application to Oxygen," ? Fluid Phase Equilib., 19:175-200, 1985. ? !``````````````````````````````````````````````````````````````````````````````` 54.361 !Lower temperature limit [K] 300.0 !Upper temperature limit [K] 0. ! 0. ! 54.361 0.146277 !Reducing temperature and pressure 0 4 0 0 0 0 !Number of terms in melting line equation -32.463539 0.0625 !Coefficients and exponents 142.78011 0.125 -147.02341 0.1875 52.0012 0.25 #SBL !---Sublimation line--- SB3 !Sublimation line model for oxygen of Lemmon (2003). :DOI: ? ?``````````````````````````````````````````````````````````````````````````````` ?Lemmon, E.W., 2003. ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 54.361 !Upper temperature limit [K] 0. ! 0. ! 54.361 0.14628 !Reducing temperature and pressure 0 1 0 0 0 0 !Number of terms in sublimation line equation -20.714 1.06 !Coefficients and exponents #PS !---Vapor pressure--- PS5 !Vapor pressure equation for oxygen of Cullimore (2010). ? ?``````````````````````````````````````````````````````````````````````````````` ?Cullimore, I.D., 2010. ? ?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. ! 154.581 5043.0 !Reducing parameters 5 0 0 0 0 0 !Number of terms in equation -6.0595 1.0 1.3050 1.5 -0.54178 2.2 -1.9410 4.8 0.35514 6.2 #DL !---Saturated liquid density--- DL1 !Saturated liquid density equation for oxygen of Cullimore (2010). ? ?``````````````````````````````````````````````````````````````````````````````` ?Cullimore, I.D., 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. ! 154.581 13.63 !Reducing parameters 5 0 0 0 0 0 !Number of terms in equation 1.6622 0.345 0.76846 0.74 -0.10041 1.2 0.20480 2.6 0.011551 7.2 #DV !---Saturated vapor density--- DV3 !Saturated vapor density equation for oxygen of Cullimore (2010). ? ?``````````````````````````````````````````````````````````````````````````````` ?Cullimore, I.D., 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. ! 154.581 13.63 !Reducing parameters 6 0 0 0 0 0 !Number of terms in equation -2.2695 0.3785 -4.6578 1.07 -9.9480 2.7 -22.845 5.5 -45.190 10.0 -25.101 20.0 @END c 1 2 3 4 5 6 7 8 c2345678901234567890123456789012345678901234567890123456789012345678901234567890 @TCX !Thermal conductivity model specification TC1 pure fluid thermal conductivity model of Laesecke (1990). ? ?``````````````````````````````````````````````````````````````````````````````` ?Laesecke, A., Krauss, R., Stephan, K., and Wagner, W., ? "Transport Properties of Fluid Oxygen," ? J. Phys. Chem. Ref. Data, 19(5):1089-1122, 1990. ? ?The uncertainties in thermal conductivity are 3% in the dilute gas, ? 4% in the liquid, 5% in the vapor and about 6% elsewhere. In the critical ? region, the uncertainty is about 18%. ? !``````````````````````````````````````````````````````````````````````````````` 54.361 !Lower temperature limit [K] 1000.0 !Upper temperature limit [K] 82000.0 !Upper pressure limit [kPa] 43.348 !Maximum density [mol/L] 2 0 !# terms for dilute gas function: numerator, denominator 1.0 0.001 !Reducing parameters for T, tcx 0.5825413 -97. !Coefficient, power in T 0.0321266 -98. 5 0 !# terms for background gas function: numerator, denominator 1.0 13.63 0.004909 !Reducing parameters for T, rho (rho_c), tcx 2.32825085 0. 1. 0. !Coefficient, powers of T, rho, spare for future use 4.23024231 0. 2. 0. -3.60798307 0. 3. 0. 2.01675631 0. 4. 0. -0.289731736 0. 5. 0. TK3 !Pointer to critical enhancement auxiliary function @AUX !---Thermal conductivity critical enhancement model TK3 simplified thermal conductivity critical enhancement of Laesecke et al. (1990). ? ?``````````````````````````````````````````````````````````````````````````````` ?Laesecke, A., Krauss, R., Stephan, K., and Wagner, W., ? !``````````````````````````````````````````````````````````````````````````````` 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) 0.16e-9 !xi0 (amplitude) [m] 0.08391 !gam0 (amplitude) [-] 0.4167e-9 !qd_inverse (modified effective cutoff parameter) [m] 309.162 !Tref (reference temperature) [K] @ETA !Viscosity model specification VS1 pure fluid viscosity model of Laesecke et al. (1990). ? ?``````````````````````````````````````````````````````````````````````````````` ?Laesecke, A., Krauss, R., Stephan, K., and Wagner, W., ? "Transport Properties of Fluid Oxygen," ? J. Phys. Chem. Ref. Data, 19(5):1089-1122, 1990. ? ?The uncertainties in viscosity are 1.5% in the dilute gas, 4% in the liquid, ? 5% in the vapor and about 6% elsewhere. In the critical region, the ? uncertainty is about 12%. ? !``````````````````````````````````````````````````````````````````````````````` 54.361 !Lower temperature limit [K] 1000.0 !Upper temperature limit [K] 82000.0 !Upper pressure limit [kPa] 43.348 !Maximum density [mol/L] 1 !Number of terms associated with dilute-gas function CI1 !Pointer to reduced effective collision cross-section model 0.34318867 !Lennard-Jones coefficient sigma [nm] 116.2 !Lennard-Jones coefficient epsilon/kappa [K] 1.0 1.0 !Reducing parameters for T, eta 0.151006 0.5 !Chapman-Enskog term 0 !Number of terms for initial density dependence 0 4 1 2 0 0 !# resid terms: close-packed density; simple poly; numerator of rational poly; denominator of rat. poly; numerator of exponential; denominator of exponential 1. 13.63 18.8928 !Reducing parameters for T, rho, eta -1.7993647 0.0 0. 0. 0 !Simply polynomial terms -0.397230772 0.0 1. 0. 0 0.312536267 0.0 2. 0. 0 -0.0615559341 0.0 3. 0. 0 -5.60288207 0.0 0. 0. 0 !Numerator 1.0 0.0 1. 0. 0 !Denominator -3.1138112 0.0 0. 0. 0 !Denominator NUL !Pointer to the viscosity critical enhancement auxiliary function (none used) @AUX !---Collision integral specification CI1 collision integral model of Stephan (1987). ? ?``````````````````````````````````````````````````````````````````````````````` ?Laesecke, A., Krauss, R., Stephan, K., and Wagner, W., ? !``````````````````````````````````````````````````````````````````````````````` 0. ! 10000. ! 0. ! 0. ! 5 !Number of terms 0.46649 0 !Coefficient, power of Tstar -0.57015 1 0.19164 2 -0.03708 3 0.00241 4