carbon dioxide !short name (same as file name) 124-38-9 !CAS number carbon dioxide R744 !synonym1 R-744 !synonym2 44.0098 !molecular weight [g/mol] 216.58 !triple pt temperature [K] 194.75 !normal boiling pt [K] 304.21 !critical temperature [K] 7384.325 !critical pressure [kPa] 10.60 !critical density [mol/L] 0.22394 !acentric factor 0.000 !dipole moment [debye] IIR !default reference state 6.001 !version number ! compiled by M. McLinden, NIST Thermophysics Division, Boulder, Colorado ! 06-07-96 MM, original version ! 09-06-96 MM, add surface tension fit of Rathjen & Straub ! 10-09-96 MM, replace temporary Cp0 fit with function of Ely et al. ! 01-31-97 MM, change pointer for ECS reference viscosity from VS3 to VS1 ! modify ncoeff line for FEQ to accomodate critical region terms ! 02-20-97 MM, add default reference state ! 02-26-97 MM, add version number (future use) ! 03-11-97 MM, modify ECS-transport to new format ! 06-08-97 MM, add transport formulation of Vesovic (1990) ! 07-11-97 MM, revert to ECS transport until Vesovic model fully implemented ! 08-21-97 MM, purge exponentials from values read by GUI (e.g. model limits) ! 10-24-97 MM, read in f_int term in Eucken correlation in ECS method for t.c. ! change reference fluid EOS for ECS-transport from BWR to FEQ #EOS !equation of state specification BWR MBWR equation of state; Ely et al. (1987). ?LITERATURE REFERENCE \ ?Ely, J.F., Magee, J.W. and Haynes, W.M. (1987). Thermophysical properties for ? special high CO2 content mixtures. Research Report RR-110, Gas Processors ? Association, Tulsa, OK.\ ?\ ?Note: This report contains both MBWR and FEQ (refered to as the Schmidt-Wagner ? equation of state in the report) equations. The FEQ (Schmidt-Wagner) will ? give slightly better numbers very close to the critical point but for most ? calculations, the MBWR is the recommended equation. ?\ !end info 216.58 !lower temperature limit [K] 440.1 !upper temperature limit [K] 40000.0 !upper pressure limit [kPa] 27.77 !maximum density [mol/L] (rho on melting line at 40 MPa) CPP !pointer to Cp0 model 44.0098d0 !molecular weight [g/mol] 216.58d0 !triple point temperature [K] 518.2d0 !pressure at triple point [kPa] 26.778d0 !density at triple point [mol/L] 194.75d0 !normal boiling point temp [K] 0.22394d0 !acentric factor 304.21d0 7384.325d0 10.60d0 !Tc [K], pc [kPa], rhoc [mol/L] 304.21d0 10.60d0 !reducing parameters [K, mol/L] 10.60d0 !gamma 0.0831434d0 !gas constant [L-bar/mol-K] 32 1 !Nterm, Ncoeff per term -0.981851065838d-02 0.995062267309d+00 -0.228380160313d+02 0.281827634529d+04 -0.347001262699d+06 0.394706709102d-03 -0.325550000110d+00 0.484320083063d+01 -0.352181542995d+06 -0.324053603343d-04 0.468596684665d-01 -0.754547012075d+01 -0.381894354016d-04 -0.442192933859d-01 0.516925168095d+02 0.212450985237d-02 -0.261009474785d-04 -0.888533388977d-01 0.155226179403d-02 0.415091004940d+06 -0.110173967489d+08 0.291990583344d+04 0.143254606508d+08 0.108574207533d+02 -0.247799657039d+03 0.199293590763d-01 0.102749908059d+03 0.377618865158d-04 -0.332276512346d-02 0.179196707121d-07 0.945076627807d-05 -0.123400943061d-02 @EOS !equation of state specification FEQ fundamental (Helmholtz) equation of state; Ely et al. (1987). ?LITERATURE REFERENCE \ ?Ely, J.F., Magee, J.W. and Haynes, W.M. (1987). Thermophysical properties for ? special high CO2 content mixtures. Research Report RR-110, Gas Processors ? Association, Tulsa, OK.\ ?\ ?Note: This report contains both MBWR and FEQ (refered to as the Schmidt-Wagner ? equation of state in the report) equations. The FEQ (Schmidt-Wagner) will ? give slightly better numbers very close to the critical point but for most ? calculations, the MBWR is the recommended equation. ?\ !end info 216.58 !lower temperature limit [K] 1000. !upper temperature limit [K] 100000.0 !upper pressure limit [kPa] 28.85 !maximum density [mol/L] (rho on melting line at 100 MPa) CPP !pointer to Cp0 model 44.0098d0 !molecular weight [g/mol] 216.58d0 !triple point temperature [K] 518.03d0 !pressure at triple point [kPa] 26.776d0 !density at triple point [mol/L] 194.75d0 !normal boiling point temp [K] 0.22394d0 !acentric factor 304.13d0 7375.21d0 10.63d0 !Tc [K], pc [kPa], rho[mol/L] 304.13d0 10.63d0 !reducing parameters [K, mol/L] 8.31434d0 !gas constant [J/mol-K] 32 4 0 0 0 0 !# terms, # coeff/term for: "normal" terms, critical, spare 0.485497428986d+00 0.000 1.00 0 !a(i),t(i),d(i),l(i) -0.191900462349d+01 1.500 1.00 0 0.451739876847d+00 2.500 1.00 0 0.838475229022d-02 -0.500 2.00 0 0.310719428397d+00 1.500 2.00 0 -0.183619563850d+00 2.000 2.00 0 0.448878785519d-01 0.000 3.00 0 -0.362211893044d-01 1.000 3.00 0 -0.169827491865d-01 2.500 3.00 0 0.803504394396d-03 0.000 6.00 0 0.320223641512d-03 2.000 7.00 0 -0.658956249553d-05 5.000 7.00 0 -0.461991678692d-04 2.000 8.00 0 -0.385989029443d+00 5.000 1.00 2 0.131878614095d+00 6.000 1.00 2 0.109639470331d+00 3.500 2.00 2 -0.310044422115d-01 5.500 2.00 2 -0.989797992915d-01 3.000 3.00 2 -0.222934996927d-01 7.000 3.00 2 -0.225488505376d-01 6.000 5.00 2 -0.595661202393d-02 8.500 6.00 2 -0.219959964099d-01 4.000 7.00 2 0.140330955537d-01 6.500 8.00 2 -0.315424157971d-02 5.500 10.00 2 0.443394060420d-03 22.000 2.00 4 -0.487628903103d-02 11.000 3.00 4 -0.311643343682d-01 18.000 3.00 4 0.226083669848d-01 11.000 4.00 4 0.186651858191d-01 23.000 4.00 4 -0.399277963883d+00 17.000 5.00 4 0.464945130861d+00 18.000 5.00 4 -0.817090055061d-01 23.000 5.00 4 #AUX !auxiliary model specification CPP ideal gas heat capacity fit of Ely et al. ?LITERATURE REFERENCE \ ?Ely, J.F., Magee, J.W. and Haynes, W.M. (1987). Thermophysical properties for ? special high CO2 content mixtures. Research Report RR-110, Gas Processors ? Association, Tulsa, OK. ?\ !end of info section 200.0 !lower temperature limit [K] 1000.0 !upper temperature limit [K] 0.00 !upper pressure limit [kPa] 0.00 !maximum density [mol/L] 1.000 8.31441 !reducing parameters for T, Cp0 1 3 !Nterms: polynonial, exponential 3.50d0 0.00 !c(i), power of T 2.00d0 960.11d0 !=omega_1 (degenerate mode--taken twice) 1.00d0 1932.00d0 !=omega_2 1.00d0 3380.20d0 !=omega_3 @TRN !transport model specification ECS Extended Corresponding States model for transport props (R134a ref. fluid). ?LITERATURE REFERENCES \ ?Klein, S.A., McLinden, M.O. and Laesecke, A. (1997). An improved extended ? corresponding states method for estimation of viscosity of pure refrigerants ? and mixtures. Int. J. Refrigeration 20: 208-217.\ ?\ ?Huber, M.L., Friend, D.G. and Ely, J.F. Prediction of the thermal ? conductivity of refrigerants and refrigerant mixtures. ? Fluid Phase Equilibria 80: 249-261 (1992). \ ?\ ?the Lennard-Jones parameters are from:\ ?Vesovic, V., Wakeham, W.A., Olchowy, G.A., Sengers, J.V., Watson, J.T.R. ? and Millat, J. (1990). The transport properties of carbon dioxide. ? J. Phys. Chem. Ref. Data 19: 763-808.\ ?\ !end of info section 216.58 !lower temperature limit [K] 440.0 !upper temperature limit [K] 40000.0 !upper pressure limit [kPa] 27.77 !maximum density [mol/L] FEQ R134a.fld VS1 !model for reference fluid viscosity TC1 !model for reference fluid thermal conductivity 1 !Lennard-Jones flag (0 or 1) (0 => use estimates) 0.3751 !Lennard-Jones coefficient sigma [nm] 251.196 !L-J coefficient epsilon/kB [K] 1 0 0 !number of terms in f_int term in Eucken correlation, spare1, spare 2 1.3200d-3 0.0 0.0 0.0 !coeff, power of T, spare 1, spare 2 0 0 0 !number of terms in psi (visc shape factor): poly,spare1,spare2 0 0 0 !number of terms in chi (t.c. shape factor): poly,spare1,spare2 #TCX !thermal conductivity model specification TC1 pure fluid thermal conductivity model of Vesovic et al. (1990) ?LITERATURE REFERENCE\ ?Vesovic, V., Wakeham, W.A., Olchowy, G.A., Sengers, J.V., Watson, J.T.R. ? and Millat, J. (1990). The transport properties of carbon dioxide. ? J. Phys. Chem. Ref. Data 19: 763-808.\ ?\ ?Note: Vesovic et al. use a crossover equation of state to compute derivatives ? in the critical region; the default EOS is used here. Also, their ? "simplified" critical enhancement for thermal conductivity is used.\ ?\ !end of info section 216.58 !lower temperature limit [K] 1000.0 !upper temperature limit [K] 100000.0 !upper pressure limit [kPa] 27.77 !maximum density [mol/L] 2 6 !# terms for dilute gas function: numerator, denominator 251.196d0 1.0d-3 !reducing parameters for T (=eps/k), tcx (orig in mW/m-K) 7.7378307d+1 0.50d0 !coeff (=0.475598*SQRT(eps/k)), power in T (T* in this case) 4.8109652d-2 -99.00d0 !power -99 indicates: mult above numerator term by [1 + coeff*(Cp0 - 2.5*R)], where coeff = 0.4/R 0.4226159d+0 0.00d0 !demoninator is Eq 30 in Vesovic 0.6280115d+0 -1.00d0 -0.5387661d+0 -2.00d0 0.6735941d+0 -3.00d0 -0.4362677d+0 -6.00d0 0.2255388d+0 -7.00d0 4 0 !# terms for background gas function: numerator, denominator 1.0d0 2.272221d-2 1.0d-3 !reducing par for T, rho, tcx (orig corr in kg/m**3, mW/m-K) 2.447164d-02 0.00d0 1.00d0 0.00d0 !coeff, powers of t, rho, spare for future use 8.705605d-05 0.00d0 2.00d0 0.00d0 -6.547950d-08 0.00d0 3.00d0 0.00d0 6.594919d-11 0.00d0 4.00d0 0.00d0 TK3 !pointer to critical enhancement auxiliary function #AUX !thermal conductivity critical ehancement model TK3 simplified thermal conductivity critical enhancement of Olchowy & Sengers ?LITERATURE REFERENCE\ ?Olchowy, G.A. and Sengers, J.V. (1989). A simplified representation for ? the thermal conductivity of fluids in the critical region. ? Int. J. Thermophysics 10: 417-426.\ ?\ ?as applied to CO2 by:\ ?Vesovic, V., Wakeham, W.A., Olchowy, G.A., Sengers, J.V., Watson, J.T.R. ? and Millat, J. (1990). The transport properties of carbon dioxide. ? J. Phys. Chem. Ref. Data 19: 763-808.\ ?\ !end of info section 216.58 !lower temperature limit [K] 1000.0 !upper temperature limit [K] 100000.0 !upper pressure limit [kPa] 27.77 !maximum density [mol/L] 9 0 0 0 !# terms: CO2-terms, spare, spare, spare 1.0d0 1.0d0 1.0d0 !reducing par for T, rho, tcx (mW/m-K) 0.630d+00 !gnu (universal exponent) 1.2415d+00 !gamma (universal exponent) 1.01d+00 !R0 (universal amplitude) 0.065d+00 !z (universal exponent--not used for t.c., only viscosity) 1.00d+00 !c (constant in viscosity eqn = 1/[2 - (alpha + gamma)/(2*nu)], but often set to 1) 1.5d-10 !xi0 (amplitude) [m] 0.052d+00 !gam0 (amplitude) [-] 0.40d-09 !qd_inverse (modified effective cutoff parameter) [m] 450.0d+00 !tref (reference temperature) [K] #STN !surface tension specification ST1 surface tension model ?LITERATURE REFERENCE \ ?Rathjen, W. and Straub, J. (1977). "Temperature dependence of surface tension, ? coexistence curve, and vapor pressure of CO2, CClF3, CBrF3, and SF6." Chapter 18 ? in: Heat Transfer in Boiling, New York: Academic Press, pp 425-451.\ ?\ !end info 216.58 !lower temperature limit [K] 304.13 !upper temperature limit [K] 0.00 !(dummy) upper pressure limit 0.00 !(dummy) maximum density 1 !number of terms 304.17d0 !critical temperature used by Rathjen & Straub (dummy) 0.084497d0 1.28d0 !sigma0 and n @END c 1 2 3 4 5 6 7 8 c2345678901234567890123456789012345678901234567890123456789012345678901234567890 originally, I had: 1.1946832d+2 0.50d0 !coeff (=0.475598*eps/k), power in T (T* in this case) it should be: 7.7378307d+1 0.50d0 !coeff (=0.475598*SQRT(eps/k)), power in T (T* in this case)