环保混合工质R290+R1234ze(E)/R1234yf的亥姆霍兹模型
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摘要
本文建立了R290+R1234ze(E)和R290+R1234yf两种混合物的亥姆霍兹型状态方程,混合物的亥姆霍兹自由能α包括理想气体混合物自由能α_0和考虑实际流体混合行为的剩余自由能α_r两部分,表示为温度、摩尔体积和组分的函数,其中,理想部分α_0由相关纯质的最精确的状态方程推导,剩余部分α_r通过混合物的相平衡、气相密度和饱和液密度实验数据拟合得到。本文采用11种混合规则进行了回归计算,分别建立了两种混合物的最优亥姆霍兹型状态方程,拟合数据的平均绝对相对压力偏差均在0.5%以内,平均绝对相对密度偏差均在0.3%以内。
Helmholtz free energy equations of state for R290 + R1234 ze(E) and R290 + R1234 yf mixtures are presented in this work. The equations of state are based on the multi-fluid approximations model, where Helmholtz energy of the mixture a is expressed as a function of density,temperature and composition. It consists of two parts a_0 and α_r,which represent the properties of ideal-gas mixtures and the residual mixture behavior, respectively. The first part α_0 can be determined from the most accurate equations of state for each pure fluid, while the second part α_r are determined by fitting the available experimental vapour-liquid phase equilibrium data, gaseous ppTx data and saturated liquid ppTx data. In this work, 11 mixture rules(combinations of reducing functions and departure functions) are employed to describe the thermophysical properties of the considered binary mixtures and optimal Helmholtz free energy equations of state are established. The calculated average absolute relative deviations are within 0.5% for pressure and 0.3% for density.
Helmholtz free energy equations of state for R290 + R1234 ze(E) and R290 + R1234 yf mixtures are presented in this work. The equations of state are based on the multi-fluid approximations model, where Helmholtz energy of the mixture a is expressed as a function of density,temperature and composition. It consists of two parts a_0 and α_r,which represent the properties of ideal-gas mixtures and the residual mixture behavior, respectively. The first part α_0 can be determined from the most accurate equations of state for each pure fluid, while the second part α_r are determined by fitting the available experimental vapour-liquid phase equilibrium data, gaseous ppTx data and saturated liquid ppTx data. In this work, 11 mixture rules(combinations of reducing functions and departure functions) are employed to describe the thermophysical properties of the considered binary mixtures and optimal Helmholtz free energy equations of state are established. The calculated average absolute relative deviations are within 0.5% for pressure and 0.3% for density.
引文
[1] Zilio C, Brown J S, Schiochet G, et al. The Refrigerant R1234yf in Air Conditioning Systems[J]. Energy, 2011,36(10):6110-6120
[2] Lee Y, Jung D. A Brief Performance Comparison of R1234yf and R134a in a Bench Tester for Automobile Applications[J]. Applied Thermal Engineering, 2012, 35:240-242
[3] Moles F, Navarro-Esbrf J, Peris B, et al. Theoretical Energy Performance Evaluation of Different Single StageVapour Compression Refrigeration Configurations using R1234yf and R1234ze(E)as Working Fluids[J]. International Journal of Refrigeration, 2014, 44:141-150
[4] Mota-Babiloni A, Navarro-Esbrf J, Molés F, et al. A Review of Refrigerant R1234ze(E)Recent Investigations[J].Applied Thermal Engineering, 2016, 95:211-222
[5]张华俊,冯倩瑩,陈浩.天然制冷剂丙烷替代R22的性能分析[J].制冷与空调,1999(4):59-63ZHANG Huajun, FENG Qianying, CHEN Hao. The Performance Analysis of Natural Refrigerant Propane Instead of R22[J]. Refrigeration and Air Conditioning, 1999(4):59-63
[6] Dong X, Gong M, Shen J, et al. Experimental Measurement of Vapor-Liquid Equilibrium for(Trans-1, 3, 3, 3-Tetrafluoropropene(R1234ze(E))+Propane(R290))[J].International Journal of Refrigeration, 2011, 34(5):1238-1243
[7] Zhang H, Gong M, Li H, et al. A Simple Model for Temperature-independent k_(ij)of the PR-vdW Model for Mixtures Containing HCs, HFCs, PFCs, HFOs, CO2,RE170 and R13I1[J]. Fluid Phase Equilibria, 2016, 425:374-384
[8] Lemmon E, Huber M, McLinden M. NIST Standard Reference Database23:Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 9.1[DB/CD]. National Institute of Standards and Technology:Gaithersburg, MD, 2013
[9] Kunz O, Wagner W. The GERG-2008 Wide-range Equation of State for Natural Gases and Other Mixtures:An Expansion of GERG-2004[J]. Journal of Chemical&Engineering Data, 2012, 57(11):3032-3091
[10] Lemmon E W, McLinden M O, Wagner W. Thermodynamic Properties of Propane. III. A Reference Equation of State for Temperatures from the Melting Line to 650 K and Pressures up to 1000 MPa[J]. Journal of Chemical&Engineering Data, 2009, 54(12):3141-3180
[11] Thol M, Lemmon E W. Equation of State for the Thermodynamic Properties of Trans-1, 3, 3, 3-Tetrafluoropropene[R-1234ze(E)][J]. International Journal of Thermophysics, 2016, 37(3):1-16
[12] Richter M, McLinden M O, Lemmon E W. Thermodynamic Properties of 2, 3, 3, 3-Tetrafluoroprop-1-Ene(R1234yf):Vapor Pressure and p-ρ-T Measurements and an Equation of State[J]. Journal of Chemical&Engineering Data, 2011, 56(7):3254-3264
[13] Lemmon E, Jacobsen R. A Generalized Model for the Thermodynamic Properties of Mixtures[J]. International Journal of Thermophysics, 1999, 20(3):825-835
[14] Klimeck R. Entwicklung Einer Fundamentalgleichung fur Erdgase Für das Gas-und Flüssigkeitsgebiet Sowie Das Phasengleichgewicht[D]. Germany:Ruhr-Universitat Bochum, 2000
[15] Lemmon E W, Jacobsen R T. Equations of State for Mixtures of R-32, R-125, R-134a, R-143a, and R-152a[J].Journal of Physical and Chemical Reference Data, 2004,33(2):593-620
[16] Zhang H, Zhong Q, Gong M, et al. Experimental Study on the Saturated Liquid Density and Bubble Point Pressure for R1234ze(E)+R290[J]. Journal of Chemical&Engineering Data, 2016, 61(9):3241-3249
[17] Zhang H, Gong M, Li H, et al. Gaseous ppTx Properties for Binary Mixtures of HFO1234ze(E)+HC290[J]. Fluid Phase Equilibria, 2016, 408:232-239
[18] Zhong Q, Dong X, Zhang H, et al. Experimental Study on the Gaseous ppTx Properties for(HF01234yf+HC290)[J]. The Journal of Chemical Thermodynamics, 2017, 107:126-132
[19] Akasaka R. Thermodynamic Property Models for the Difluoromethane(R-32)+Trans-1, 3, 3, 3-Tetrafluoropropene(R-1234ze(E))and Difluoromethane+2, 3, 3, 3-Tetrafluoropropene(R-1234yf)Mixtures[J].Fluid Phase Equilibria, 2013, 358:98-104
[20] Qi Y, Zhang H, Zhao W, et al. Vapor-liquid Equilibrium Properties of Binary Mixture Refrigerants(R1234ZE+R290, R290+R227ea)[C]//International Refrigeration and Air Conditioning Conference, 2014:1501
[21] Brown J S, Coccia G, Di Nicola G, et al. Vapor Phase PvTx Measurements of Binary Blends of 2, 3, 3, 3-Tetrafluoroprop-l-ene+Propane and cis-1, 2, 3, 3, 3-Pentafluoroprop-1-ene+Propane[J]. Journal of Chemical&Engineering Data, 2016, 61(9):3346-3354
[2] Lee Y, Jung D. A Brief Performance Comparison of R1234yf and R134a in a Bench Tester for Automobile Applications[J]. Applied Thermal Engineering, 2012, 35:240-242
[3] Moles F, Navarro-Esbrf J, Peris B, et al. Theoretical Energy Performance Evaluation of Different Single StageVapour Compression Refrigeration Configurations using R1234yf and R1234ze(E)as Working Fluids[J]. International Journal of Refrigeration, 2014, 44:141-150
[4] Mota-Babiloni A, Navarro-Esbrf J, Molés F, et al. A Review of Refrigerant R1234ze(E)Recent Investigations[J].Applied Thermal Engineering, 2016, 95:211-222
[5]张华俊,冯倩瑩,陈浩.天然制冷剂丙烷替代R22的性能分析[J].制冷与空调,1999(4):59-63ZHANG Huajun, FENG Qianying, CHEN Hao. The Performance Analysis of Natural Refrigerant Propane Instead of R22[J]. Refrigeration and Air Conditioning, 1999(4):59-63
[6] Dong X, Gong M, Shen J, et al. Experimental Measurement of Vapor-Liquid Equilibrium for(Trans-1, 3, 3, 3-Tetrafluoropropene(R1234ze(E))+Propane(R290))[J].International Journal of Refrigeration, 2011, 34(5):1238-1243
[7] Zhang H, Gong M, Li H, et al. A Simple Model for Temperature-independent k_(ij)of the PR-vdW Model for Mixtures Containing HCs, HFCs, PFCs, HFOs, CO2,RE170 and R13I1[J]. Fluid Phase Equilibria, 2016, 425:374-384
[8] Lemmon E, Huber M, McLinden M. NIST Standard Reference Database23:Reference Fluid Thermodynamic and Transport Properties-REFPROP, Version 9.1[DB/CD]. National Institute of Standards and Technology:Gaithersburg, MD, 2013
[9] Kunz O, Wagner W. The GERG-2008 Wide-range Equation of State for Natural Gases and Other Mixtures:An Expansion of GERG-2004[J]. Journal of Chemical&Engineering Data, 2012, 57(11):3032-3091
[10] Lemmon E W, McLinden M O, Wagner W. Thermodynamic Properties of Propane. III. A Reference Equation of State for Temperatures from the Melting Line to 650 K and Pressures up to 1000 MPa[J]. Journal of Chemical&Engineering Data, 2009, 54(12):3141-3180
[11] Thol M, Lemmon E W. Equation of State for the Thermodynamic Properties of Trans-1, 3, 3, 3-Tetrafluoropropene[R-1234ze(E)][J]. International Journal of Thermophysics, 2016, 37(3):1-16
[12] Richter M, McLinden M O, Lemmon E W. Thermodynamic Properties of 2, 3, 3, 3-Tetrafluoroprop-1-Ene(R1234yf):Vapor Pressure and p-ρ-T Measurements and an Equation of State[J]. Journal of Chemical&Engineering Data, 2011, 56(7):3254-3264
[13] Lemmon E, Jacobsen R. A Generalized Model for the Thermodynamic Properties of Mixtures[J]. International Journal of Thermophysics, 1999, 20(3):825-835
[14] Klimeck R. Entwicklung Einer Fundamentalgleichung fur Erdgase Für das Gas-und Flüssigkeitsgebiet Sowie Das Phasengleichgewicht[D]. Germany:Ruhr-Universitat Bochum, 2000
[15] Lemmon E W, Jacobsen R T. Equations of State for Mixtures of R-32, R-125, R-134a, R-143a, and R-152a[J].Journal of Physical and Chemical Reference Data, 2004,33(2):593-620
[16] Zhang H, Zhong Q, Gong M, et al. Experimental Study on the Saturated Liquid Density and Bubble Point Pressure for R1234ze(E)+R290[J]. Journal of Chemical&Engineering Data, 2016, 61(9):3241-3249
[17] Zhang H, Gong M, Li H, et al. Gaseous ppTx Properties for Binary Mixtures of HFO1234ze(E)+HC290[J]. Fluid Phase Equilibria, 2016, 408:232-239
[18] Zhong Q, Dong X, Zhang H, et al. Experimental Study on the Gaseous ppTx Properties for(HF01234yf+HC290)[J]. The Journal of Chemical Thermodynamics, 2017, 107:126-132
[19] Akasaka R. Thermodynamic Property Models for the Difluoromethane(R-32)+Trans-1, 3, 3, 3-Tetrafluoropropene(R-1234ze(E))and Difluoromethane+2, 3, 3, 3-Tetrafluoropropene(R-1234yf)Mixtures[J].Fluid Phase Equilibria, 2013, 358:98-104
[20] Qi Y, Zhang H, Zhao W, et al. Vapor-liquid Equilibrium Properties of Binary Mixture Refrigerants(R1234ZE+R290, R290+R227ea)[C]//International Refrigeration and Air Conditioning Conference, 2014:1501
[21] Brown J S, Coccia G, Di Nicola G, et al. Vapor Phase PvTx Measurements of Binary Blends of 2, 3, 3, 3-Tetrafluoroprop-l-ene+Propane and cis-1, 2, 3, 3, 3-Pentafluoroprop-1-ene+Propane[J]. Journal of Chemical&Engineering Data, 2016, 61(9):3346-3354
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