R134a !short name (same as file name) 811-97-2 !CAS number 1,1,1,2-tetrafluoroethane HFC-134a !synonym1 R-134a !synonym2 102.032 !molecular weight [g/mol] 169.85 !triple pt temperature [K] 247.076 !normal boiling pt [K] 374.21 !critical temperature [K] 4059.28 !critical pressure [kPa] 5.017053 !critical density [mol/L] 0.32684 !acentric factor 2.058 !dipole moment [debye]; Meyer & Morrison, J Phys Chem (1991) IIR !default reference state 6.001 !version number ! compiled by M. McLinden, NIST Thermophysics Division, Boulder, Colorado ! 10-10-95 MM, original version ! 03-14-96 MM, add transport correlations compiled by S.A. Klein ! 03-15-96 MM, modify transport format to conform to new structure ! 03-18-96 MM, add dipole moment ! 06-14-96 MM, add phi0 function of Tillner-Roth (transformed to CP1 form) ! 08-19-96 MM, add surface tension fit ! 10-03-96 MM, specify no rho-dependent ECS coeff (compatibility with new model) ! 10-09-96 MM, A(4), A(5) coefficients missing from TC1 (thermal conductivity) model ! 01-17-97 MM, add revised viscosity correlation of Laesecke + collision integral ! 01-31-97 MM, change pointer for ECS reference viscosity from VS3 to VS1 ! modify ncoeff line for FEQ to accomodate critical region terms ! 02-07-97 MM, recast thermal cond model of Perkins into new TC1 form ! 02-20-97 MM, add default reference state ! 02-24-97 MM, put t.c. critical enhancement in TK1 form ! 02-26-97 MM, add version number and pointer to visc critical enhancement (both future use) ! 03-05-97 MM, modify ECS-transport to new format ! 05-14-97 MM, change power of T in collision integral to integer ! 07-11-97 MM, revert to t.c. model of Perkins until Krauss model is debugged ! 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 FEQ fundamental (Helmholtz) equation of state; Tillner-Roth & Baehr (1994). ?LITERATURE REFERENCE \ ?R. Tillner-Roth and H.D. Baehr. An international standard formulation ? of the thermodynamic properties of 1,1,1,2-tetrafluoroethane (HFC-134a) ? covering temperatures from 170 K to 455 K at pressures up to 70 MPa. ? J. Phys. Chem. Ref. Data 23, 657-729 (1994). \ ?\ !end info 169.85 !lower temperature limit [K] 453.15 !upper temperature limit [K] 70000.0 !upper pressure limit [kPa] 15.60 !maximum density [mol/L] CPP !pointer to Cp0 model 102.032 !molecular weight [g/mol] 169.85 !triple point temperature [K] 0.3935d-3 !pressure at triple point [kPa] 15.5943 !density at triple point [mol/L] 247.076 !normal boiling point temp [K] 0.32684 !acentric factor 374.21d0 4059.28d0 5.017053d0 !Tc [K], pc [kPa], rho [mol/L] 374.18d0 4.978830171d0 !reducing parameters [K, mol/L] 8.314471d0 !gas constant [J/mol-K] 21 4 0 0 0 0 !# terms, # coeff/term for: "normal" terms, critical, spare 0.5586817000d-01 -0.50 2.00 0 !a(i),t(i),d(i),l(i) 0.4982230000d+00 0.00 1.00 0 0.2458698000d-01 0.00 3.00 0 0.8570145000d-03 0.00 6.00 0 0.4788584000d-03 1.50 6.00 0 -0.1800808000d+01 1.50 1.00 0 0.2671641000d+00 2.00 1.00 0 -0.4781652000d-01 2.00 2.00 0 0.1423987000d-01 1.00 5.00 1 0.3324062000d+00 3.00 2.00 1 -0.7485907000d-02 5.00 2.00 1 0.1017263000d-03 1.00 4.00 2 -0.5184567000d+00 5.00 1.00 2 -0.8692288000d-01 5.00 4.00 2 0.2057144000d+00 6.00 1.00 2 -0.5000457000d-02 10.00 2.00 2 0.4603262000d-03 10.00 4.00 2 -0.3497836000d-02 10.00 1.00 3 0.6995038000d-02 18.00 5.00 3 -0.1452184000d-01 22.00 3.00 3 -0.1285458000d-03 50.00 10.00 4 #AUX !auxiliary model specification CPP polynomial fit for ideal gas heat capacity. ?LITERATURE REFERENCE \ ?R. Tillner-Roth and H.D. Baehr. An international standard formulation ? of the thermodynamic properties of 1,1,1,2-tetrafluoroethane (HFC-134a) ? covering temperatures from 170 K to 455 K at pressures up to 70 MPa. ? J. Phys. Chem. Ref. Data 23, 657-729 (1994). \ ?\ ?Note: Tillner-Roth et al. give a Helmholtz form for the ideal gas term; it ?has been converted to a Cp0 form by the transform: \ ?\ ? Cp0/R = (1 + a3) - (3/4)*a4*Tr**(1/2) - (21/16)*a5*Tr**(3/4) \ ? where the ai are the original coefficients given by T-R and Tr = T/Tc \ ?\ !end info 169.85 !lower temperature limit [K] 453.15 !upper temperature limit [K] 0.00 !upper pressure limit [kPa] 0.00 !maximum density [mol/L] 374.18d0 8.314471d0 !reducing parameters for T, Cp0 3 0 !Nterms: polynonial, exponential -0.629789d0 0.00 !c(i), power of T 7.292937d0 0.50 5.154411d0 0.75 @EOS !equation of state specification BWR MBWR equation of state; Huber & McLinden (1992). ?LITERATURE REFERENCES \ ?M.L. Huber and M.O. McLinden. Thermodynamic properties of R134a ? (1,1,1,2-tetrafluoroethane). International Refrigeration Conference, ? West Lafayette, IN, July 14-17, 453-462 (1992). \ ?\ ?also published in: \ ?\ ?M.L. Huber and J.F. Ely. A predictive extended corresponding states model ? for pure and mixed refrigerants including an equation of state for R134a. ? Int. J. Refrigeration 17, 18-31 (1994). \ ?\ !end info 169.85 !lower temperature limit [K] 600.00 !upper temperature limit [K] 70000.0 !upper pressure limit [kPa] 15.60 !maximum density [mol/L] CP1 !pointer to Cp0 model 102.032d0 !molecular weight [g/mol] 169.85d0 !triple point temperature [K] 0.3935d-3 !pressure at triple point [kPa] 15.60d0 !density at triple point [mol/L] 247.082d0 !normal boiling point temp [K] 0.32705 !acentric factor 374.179d0 4056.d0 5.0308d0 !Tc [K], pc [kPa] ,rho [mol/L] 374.179d0 5.0308d0 !reducing parameters [K, mol/L] 5.0308d0 !gamma 0.08314471d0 !gas constant [L-bar/mol-K] 32 1 !Nterm, Ncoeff per term 0.965209362217d-01 -0.401824768889d+01 0.395239532858d+02 0.134532868960d+04 -0.139439741347d+07 -0.309281355175d-02 0.292381512283d+01 -0.165146613555d+04 0.150706003118d+07 0.534973948313d-04 0.543933317622d+00 -0.211326049762d+03 -0.268191203847d-01 -0.541067125950d+00 -0.851731779398d+03 0.205188253646d+00 -0.733050188093d-02 0.380655963862d+01 -0.105832087589d+00 -0.679243084424d+06 -0.126998378601d+09 -0.426234431829d+05 0.101973338234d+10 -0.186699526782d+03 -0.933426323419d+05 -0.571735208963d+01 -0.176762738787d+06 -0.397282752308d-01 0.143016844796d+02 0.803085294260d-04 -0.171959073552d+00 0.226238385661d+01 @EOS !equation of state specification ECS extended corresponding states model w/ temperature-dependent shape factors ?LITERATURE REFERENCE \ ?Huber, M.L. and Ely, J.F. A predictive extended corresponding states model for ? pure and mixed refrigerants including an equation of state for R134a. ? Int. J. Refrigeration 17:18-31 (1994). \ ?\ ?the ideal-gas contribution is computed with the polynomial Cp0 fit of:\ ?M.O. McLinden, et al. Measurement and formulation of the thermodynamic ? properties of refrigerants 134a (1,1,1,2-tetrafluoroethane) and 123 ? (1,1-dichloro-2,2,2-trifluoroethane). ?ASHRAE Trans. 95 part 2, 263-283 (1989).\ ?\ ?N.B. shape factors are unity as R134a is the reference fluid\ ? !end info 169.85 !lower temperature limit [K] 600.00 !upper temperature limit [K] 70000.0 !upper pressure limit [kPa] 15.60 !maximum density [mol/L] CP1 !pointer to Cp0 model R134a.fld BWR !pointer to reference fluid model 0.32668 !acentric factor for R134a used in shape factor correlation 0.259147 !critical compressibility for R134a used in correlation 0.32668 !acentric factor for fluid used in shape factor correlation 374.179 !critical temperature [K] 4056. !critical pressure [kPa] 5.0308 !critical density [mol/L] 2 !number of temperature coefficients for 'f' shape factor 0.0d0 0.0d0 !alpha1 of Huber & Ely 0.0d0 1.0d0 !alpha2 of Huber & Ely (log(Tr) term) 0 !number of density coefficients for 'f' shape factor 2 !number of coefficients for 'h' shape factor 0.0d0 0.0d0 !beta1 of Huber & Ely 0.0d0 1.0d0 !beta2 of Huber & Ely (log(Tr) term) 0 !number of density coefficients for 'h' shape factor #AUX !auxiliary model specification CP1 polynomial fit for ideal gas heat capacity; McLinden et al. (1989). ?LITERATURE REFERENCES \ ?M.O. McLinden, et al. Measurement and formulation of the thermodynamic ? properties of refrigerants 134a (1,1,1,2-tetrafluoroethane) and 123 ? (1,1-dichloro-2,2,2-trifluoroethane). ?ASHRAE Trans. 95 part 2, 263-283 (1989).\ ?\ ?also published in (and used in fits of): \ ?\ ?M.L. Huber and M.O. McLinden. Thermodynamic properties of R134a ? (1,1,1,2-tetrafluoroethane). International Refrigeration Conference, ? West Lafayette, IN, July 14-17, 453-462 (1992). \ ? ?M.L. Huber and J.F. Ely. A predictive extended corresponding states ? model for pure and mixed refrigerants including an equation of state ? for R134a. Int. J. Refrigeration 17, 18-31 (1994). \ ?\ !end info 150.0 !lower temperature limit [K] 500.0 !upper temperature limit [K] 0.00 !upper pressure limit [kPa] 0.00 !maximum density [mol/L] 1.000 1.000 !reducing parameters for T, Cp0 3 0 !Nterms: polynonial, exponential 19.4006d0 0.00 !c(i), power of T 0.258531d0 1.00 -1.29665d-4 2.00 @AUX !auxiliary model specification PH0 Helmholtz form for the ideal-gas state ?LITERATURE REFERENCE \ ?R. Tillner-Roth and H.D. Baehr. An international standard formulation ? of the thermodynamic properties of 1,1,1,2-tetrafluoroethane (HFC-134a) ? covering temperatures from 170 K to 455 K at pressures up to 70 MPa. ? J. Phys. Chem. Ref. Data 23, 657-729 (1994). \ ?\ !end info 169.85 !lower temperature limit [K] 453.15 !upper temperature limit [K] 0.00 !upper pressure limit [kPa] 0.00 !maximum density [mol/L] 1 4 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau)) -1.629789d+0 1.00d0 !ai, ti for [ai*log(tau**ti)] terms -1.019535d+0 0.00d0 !aj, ti for [ai*tau**ti] terms 9.047135d+0 1.00d0 -9.723916d+0 0.50d0 -3.927170d+0 0.75d0 @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). \ ? !end of info section 169.85 !lower temperature limit [K] 600.00 !upper temperature limit [K] 70000.0 !upper pressure limit [kPa] 15.60 !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) 0.50647 !Lennard-Jones coefficient Sig [nm] 288.82 !L-J coefficient EPS [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 #ETA !viscosity model specification VS1 pure fluid viscosity model of Laesecke (1997) ?LITERATURE REFERENCE \ ?Laesecke, A. (1997). Data reassessment and full surface correlation of ? the viscosity of HFC-134a (1,1,1,2-tetrafluoroethane). J. Phys. Chem. ? Ref. Data (submitted)\ ?\ !end of info section 169.85 !lower temperature limit [K] 500.0 !upper temperature limit [K] 100000.0 !upper pressure limit [kPa] 17.05 !maximum density [mol/L] (rho on melting line at 100 MPa) 1 !number of terms associated with dilute-gas function CI1 !pointer to reduced effective collision cross-section model 0.50647 !Lennard-Jones coefficient sigma [nm] 288.82 !Lennard-Jones coefficient epsilon/kB [K] 1.0d0 1.0d0 !reducing parameters for T, eta 0.215729d0 0.50d0 !=0.021357*SQRT(MW) [Chapman-Enskog term] 13 !number of terms for initial density dependence 288.82d0 0.07823693d0 !reducing parameters for T (=eps/k), etaB2 (= 0.6022137*sigma**3) -0.17999496d+1 0.00d0 !coeff, power in T* = T/(eps/k) 0.46692621d+2 -0.50d0 -0.53460794d+3 -1.00d0 0.33604074d+4 -1.50d0 -0.13019164d+5 -2.00d0 0.33414230d+5 -2.50d0 -0.58711743d+5 -3.00d0 0.71426686d+5 -3.50d0 -0.59834012d+5 -4.00d0 0.33652741d+5 -4.50d0 -0.12027350d+5 -5.00d0 0.24348205d+4 -5.50d0 -0.20807957d+3 -6.00d0 2 3 2 2 0 0 !# resid terms: close-packed density; simple poly; numerator of rational poly; demoninator of rat. poly; numer of exponential; demon exponential 374.18d0 4.9788302d0 1.0d3 !reducing parameters for T, rho, eta (Laesecke correlation in terms of mPa-s, convert to uPa-s) 3.073830d+0 0.00 !c4; power of tau for del0 0.482539055d+0 1.00 !c3*c4 -0.331249d-1 0.00 1.00 0.00 0 !c1; powers of tau, del, del0; power of del in exponential [0 indicated no exponential term present] -0.468509d-3 0.00 2.00 0.00 0 !c2 0.306398d+0 0.00 0.00 -1.00 0 !-c5 -0.306398d+0 0.00 0.00 0.00 0 !c5 0.215221d+0 0.00 1.00 0.00 0 !c6 1.000000d+0 0.00 0.00 1.00 0 !del0 term in denominator -1.000000d+0 0.00 1.00 0.00 0 !-del term in denominator NUL !pointer to critical enhancement auxiliary function (none used) #AUX !reduced effective collision cross-section model specification CI1 reduced effective collision cross-section model (empirical form in terms of log(T*)) ?LITERATURE REFERENCE \ ?reduced effective collision cross-section of Wilhelm & Vogel as reported by:\ ?Laesecke, A. (1997). Data reassessment and full surface correlation of ? the viscosity of HFC-134a (1,1,1,2-tetrafluoroethane). J. Phys. Chem. ? Ref. Data (submitted)\ ?\ !end of info section 134.86 !lower temperature limit [K] 500.00 !upper temperature limit [K] 0.00 !(dummy) upper pressure limit 0.00 !(dummy) maximum density 5 !number of terms 0.2218816d+0 0 !coeff, power of Tstar -0.5079322d+0 1 0.1285776d+0 2 -0.8328165d-2 3 -0.2713173d-2 4 #TCX !thermal conductivity model specification TC1 pure fluid thermal conductivity model of Perkins (1997). ?REFERENCE \ ?Perkins, R. (1997). National Institute of Standards and Technology, personal ? communication, fit of IUPAC round robin data based on the general form of:\ ?Krauss, R., Luettmer-Strathmann, J., Sengers, J.V. and Stephan, K. (1993). ? Transport properties of 1,1,1,2-tetrafluoroethane (R134a). Int. J. ? Thermophysics 14: 951-988.\ ?\ !end of info section 170.0 !lower temperature limit [K] 450.0 !upper temperature limit [K] 20000.0 !upper pressure limit [kPa] 17.05 !maximum density [mol/L] 2 0 !# terms for dilute gas function: numerator, denominator 1.0d0 1.0d0 !reducing parameters for T, tcx] -1.05248d-2 0.00d0 !coeff, power in T 8.00982d-5 1.00d0 4 0 !# terms for background gas function: numerator, denominator 1.0d0 5.049886d0 2.055d-03 !reducing par for T, rho (rho_c), tcx 1.836526d+0 0.00d0 1.00d0 0.00d0 !coeff, powers of t, rho, spare for future use 5.126143d+0 0.00d0 2.00d0 0.00d0 -1.436883d+0 0.00d0 3.00d0 0.00d0 6.261441d-1 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 R134a by:\ ?Perkins, R. (1997). National Institute of Standards and Technology, personal ? communication, fit of IUPAC round robin data.\ ?\ !end of info section 240.0 !lower temperature limit [K] 410.0 !upper temperature limit [K] 20000.0 !upper pressure limit [kPa] 14.70 !maximum density [mol/L] 9 0 0 0 !# terms: critical-terms, spare, spare, spare 1.0d0 1.0d0 1.0d0 !reducing par for T, rho, tcx 0.630d+00 !gnu (universal exponent) 1.239d+00 !gamma (universal exponent) 1.03d+00 !R0 (universal amplitude) 0.063d+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) 1.94d-10 !xi0 (amplitude) [m] 0.0496d+00 !gam0 (amplitude) [-] 5.285356d-10 !qd_inverse (modified effective cutoff parameter) [m] 561.411d+00 !tref (reference temperature) [= 1.5 * 374.274 K] #STN !surface tension specification ST1 surface tension model ?LITERATURE REFERENCE \ ?Okada, M. and Higashi, Y. (1994). Surface tension correlation of HFC-134a ? and HCFC-123. CFCs, The Day After (Proceedings of the Joint Meeting of IIR ? Commissions B1, B2, E1, and E2), Padua, Italy, 541-548.\ ? as reported by:\ ?Tillner-Roth, R. and Krauss, R. (1995). R134a--Extended Thermophysical ? Properties, Paris: International Institute of Refrigeration.\ ? !end info 169.85 !lower temperature limit [K] (Higashi states 230 K, but should extrapolate) 374.21 !upper temperature limit [K] 0.00 !(dummy) upper pressure limit 0.00 !(dummy) maximum density 1 !number of terms 374.21d0 !critical temperature used by Higashi & Okada (dummy) 0.06016d0 1.260d0 !sigma0 and n @END c 1 2 3 4 5 6 7 8 c2345678901234567890123456789012345678901234567890123456789012345678901234567890