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Analysis of Thermodynamic Models for Liquid-Vapor Equilibrium: Evaluating Accuracy and Applicability

Year 2024, Volume: 27 Issue: 4, 14 - 22, 01.12.2024
https://doi.org/10.5541/ijot.1412797

Abstract

This article investigates the liquid-vapor equilibrium of four binary refrigerant systems: R134a + R290, R152a + R1234ze, R152a + R1243zf, and R1243zf + R134a. The study employs three thermodynamic models for accurate predictions: the Peng-Robinson equation with the classical mixture rule of van der Waals (vdW) and the Wilson model, the PC-SAFT equation, and the PR-MC-WS-NRTL model. Activity coefficients are determined using the Peng-Robinson equation with vdW and the Wilson model. The PC-SAFT equation and the PR-MC-WS-NRTL model are also applied to model the data. The calculated results show good agreement with reference data. Favorable agreements exist between the calculated results and the reference data, with relative errors remaining below (0.15 and 0.42) % for the molar fraction and the pressure, respectively. This research provides valuable insights into the accuracy and applicability of different thermodynamic models in predicting liquid-vapor equilibrium within refrigerant systems.

References

  • A. Vidal, P. Koukouvinis, and M. Gavaises, “Vapor-liquid equilibrium calculations at specified composition, density and temperature with the perturbed chain statistical associating fluid theory (PC-SAFT) equation of state,” Fluid Phase Equilibria, vol. 521, p. 11266, 2020.
  • I. N. Diamantonis, G. C. Boulougouris, E. Mansoor, D. M. Tsangaris, and I. G. Economou, “Evaluation of Cubic, SAFT, and PC-SAFT Equations of State for the Vapor−Liquid Equilibrium Modeling of CO₂ Mixtures with Other Gases,” Ind. Eng. Chem. Res., vol. 52, pp. 3933-3942, 2013.
  • A. Aminian, “Modeling vapor–liquid equilibrium and liquid–liquid extraction of deep eutectic solvents and ionic liquids using perturbed-chain statistical associating fluid theory equation of state. Part II,” AIChE Journal, vol. 68, p. e17774, 2022.
  • J. Gross and G. Sadowski, “An Equation of State Based on a Perturbation Theory for Chain Molecules,” Industrial & Engineering Chemistry Research, vol. 40, pp. 1244–1260, 2001.
  • J. M. Mollerup and G. M. Montogeorgis, “Application of the SAFT-VR approach to the refrigerants methane, ethane, propane, n-butane, n-pentane, n-hexane, R134a, and R141b,” Fluid Phase Equilibria, vol. 211, pp. 225–235, 2003.
  • A. Zerfa, Y. Maalem, H. Madani, and A. Beicha, “Modelling of the Isothermal Vapor-Liquid Equilibrium of Alternative Refrigerants: Determination of Phase Diagrams (High-pressure/Low-pressure) and Optimized Binary Interaction Parameters,” JPIchE, vol. 51, pp. 39-58, 2023.
  • Y. Qin, N. Li, H. Zhang, B. Liu, C. Wu, and Z. Wang, “Experimental investigation on vapor liquid equilibrium and azeotropic behavior for the 1,1,1,2-tetrafluoroethane (R134a) + propane (R290) system at temperatures from 253.15 to 303.15 K,” International Journal of Refrigeration, vol. 120, pp. 209–220, 2020.
  • S. Peng, E. Wang, Z. Yang, and Y. Duan, “Vapor-liquid equilibrium measurements for the binary mixtures of 1,1-difluoroethane (R152a) with trans-1,3,3,3-tetrafluoropropene (R1234ze(E)) and 3,3,3-trifluoropropene (R1243zf),” Fluid Phase Equilibria, vol. 558, p. 113470, 2022.
  • X. Yao, L. Ding, X. Dong, Y. Zhao, X. Wang, J. Shen, and M. Gong, “Experimental measurement of vapor-liquid equilibrium for 3,3,3-trifluoropropene (R1243zf) + 1,1,1,2-tetrafluoroethane (R134a) at temperatures from 243.15 to 293.15 K,” International Journal of Refrigeration, vol. 120, pp. 97–103, 2020.
  • I. Anoune, Z. Mimoune, H. Madani, and A. Merzougui, “New modified PC-SAFT pure component parameters for accurate VLE and critical phenomena description,” Fluid Phase Equilibria, vol. 532, p. 112916, 2021.
  • B. Bentama, H. Grine, I. Anoune, H. Madani, and C. Bougriou, “Calculation of azeotropic properties for binary mixtures with the PC-SAFT equation of state,” Fluid Phase Equilibria, vol. 565, p. 113631, 2023.
  • Z. Mimoune, I. Anoune, and H. Madani, “Implementation of PC-SAFT for Predicting thermodynamic properties of pure refrigerants and vapor-liquid equilibria of refrigerants binary mixtures,” Fluid Phase Equilibria, vol. 573, p. 113868, 2023.
  • S. Fedali, H. Madani, and C. Bougriou, “Modeling of the thermodynamic properties of the mixtures: Prediction of the position of azeotropes for binary mixtures,” Fluid Phase Equilibria, vol. 379, pp. 120–127, 2014.
  • Y. Maalem, A. Zerfa, Y. Tamene, S. Fedali, and H. Madani, “Prediction of thermodynamic properties of the ternary azeotropic mixtures,” Fluid Phase Equilibria, vol. 517, p. 1126, 2020.
Year 2024, Volume: 27 Issue: 4, 14 - 22, 01.12.2024
https://doi.org/10.5541/ijot.1412797

Abstract

References

  • A. Vidal, P. Koukouvinis, and M. Gavaises, “Vapor-liquid equilibrium calculations at specified composition, density and temperature with the perturbed chain statistical associating fluid theory (PC-SAFT) equation of state,” Fluid Phase Equilibria, vol. 521, p. 11266, 2020.
  • I. N. Diamantonis, G. C. Boulougouris, E. Mansoor, D. M. Tsangaris, and I. G. Economou, “Evaluation of Cubic, SAFT, and PC-SAFT Equations of State for the Vapor−Liquid Equilibrium Modeling of CO₂ Mixtures with Other Gases,” Ind. Eng. Chem. Res., vol. 52, pp. 3933-3942, 2013.
  • A. Aminian, “Modeling vapor–liquid equilibrium and liquid–liquid extraction of deep eutectic solvents and ionic liquids using perturbed-chain statistical associating fluid theory equation of state. Part II,” AIChE Journal, vol. 68, p. e17774, 2022.
  • J. Gross and G. Sadowski, “An Equation of State Based on a Perturbation Theory for Chain Molecules,” Industrial & Engineering Chemistry Research, vol. 40, pp. 1244–1260, 2001.
  • J. M. Mollerup and G. M. Montogeorgis, “Application of the SAFT-VR approach to the refrigerants methane, ethane, propane, n-butane, n-pentane, n-hexane, R134a, and R141b,” Fluid Phase Equilibria, vol. 211, pp. 225–235, 2003.
  • A. Zerfa, Y. Maalem, H. Madani, and A. Beicha, “Modelling of the Isothermal Vapor-Liquid Equilibrium of Alternative Refrigerants: Determination of Phase Diagrams (High-pressure/Low-pressure) and Optimized Binary Interaction Parameters,” JPIchE, vol. 51, pp. 39-58, 2023.
  • Y. Qin, N. Li, H. Zhang, B. Liu, C. Wu, and Z. Wang, “Experimental investigation on vapor liquid equilibrium and azeotropic behavior for the 1,1,1,2-tetrafluoroethane (R134a) + propane (R290) system at temperatures from 253.15 to 303.15 K,” International Journal of Refrigeration, vol. 120, pp. 209–220, 2020.
  • S. Peng, E. Wang, Z. Yang, and Y. Duan, “Vapor-liquid equilibrium measurements for the binary mixtures of 1,1-difluoroethane (R152a) with trans-1,3,3,3-tetrafluoropropene (R1234ze(E)) and 3,3,3-trifluoropropene (R1243zf),” Fluid Phase Equilibria, vol. 558, p. 113470, 2022.
  • X. Yao, L. Ding, X. Dong, Y. Zhao, X. Wang, J. Shen, and M. Gong, “Experimental measurement of vapor-liquid equilibrium for 3,3,3-trifluoropropene (R1243zf) + 1,1,1,2-tetrafluoroethane (R134a) at temperatures from 243.15 to 293.15 K,” International Journal of Refrigeration, vol. 120, pp. 97–103, 2020.
  • I. Anoune, Z. Mimoune, H. Madani, and A. Merzougui, “New modified PC-SAFT pure component parameters for accurate VLE and critical phenomena description,” Fluid Phase Equilibria, vol. 532, p. 112916, 2021.
  • B. Bentama, H. Grine, I. Anoune, H. Madani, and C. Bougriou, “Calculation of azeotropic properties for binary mixtures with the PC-SAFT equation of state,” Fluid Phase Equilibria, vol. 565, p. 113631, 2023.
  • Z. Mimoune, I. Anoune, and H. Madani, “Implementation of PC-SAFT for Predicting thermodynamic properties of pure refrigerants and vapor-liquid equilibria of refrigerants binary mixtures,” Fluid Phase Equilibria, vol. 573, p. 113868, 2023.
  • S. Fedali, H. Madani, and C. Bougriou, “Modeling of the thermodynamic properties of the mixtures: Prediction of the position of azeotropes for binary mixtures,” Fluid Phase Equilibria, vol. 379, pp. 120–127, 2014.
  • Y. Maalem, A. Zerfa, Y. Tamene, S. Fedali, and H. Madani, “Prediction of thermodynamic properties of the ternary azeotropic mixtures,” Fluid Phase Equilibria, vol. 517, p. 1126, 2020.
There are 14 citations in total.

Details

Primary Language English
Subjects Thermodynamics and Statistical Physics
Journal Section Research Articles
Authors

Abdnour Zerfa This is me 0009-0003-7055-309X

Hakim Madanı 0000-0003-3742-9305

Hichem Grıne This is me 0009-0009-9262-9669

Abdellah Beıcha This is me 0009-0003-3565-8582

Early Pub Date October 23, 2024
Publication Date December 1, 2024
Submission Date January 1, 2024
Acceptance Date July 9, 2024
Published in Issue Year 2024 Volume: 27 Issue: 4

Cite

APA Zerfa, A., Madanı, H., Grıne, H., Beıcha, A. (2024). Analysis of Thermodynamic Models for Liquid-Vapor Equilibrium: Evaluating Accuracy and Applicability. International Journal of Thermodynamics, 27(4), 14-22. https://doi.org/10.5541/ijot.1412797
AMA Zerfa A, Madanı H, Grıne H, Beıcha A. Analysis of Thermodynamic Models for Liquid-Vapor Equilibrium: Evaluating Accuracy and Applicability. International Journal of Thermodynamics. December 2024;27(4):14-22. doi:10.5541/ijot.1412797
Chicago Zerfa, Abdnour, Hakim Madanı, Hichem Grıne, and Abdellah Beıcha. “Analysis of Thermodynamic Models for Liquid-Vapor Equilibrium: Evaluating Accuracy and Applicability”. International Journal of Thermodynamics 27, no. 4 (December 2024): 14-22. https://doi.org/10.5541/ijot.1412797.
EndNote Zerfa A, Madanı H, Grıne H, Beıcha A (December 1, 2024) Analysis of Thermodynamic Models for Liquid-Vapor Equilibrium: Evaluating Accuracy and Applicability. International Journal of Thermodynamics 27 4 14–22.
IEEE A. Zerfa, H. Madanı, H. Grıne, and A. Beıcha, “Analysis of Thermodynamic Models for Liquid-Vapor Equilibrium: Evaluating Accuracy and Applicability”, International Journal of Thermodynamics, vol. 27, no. 4, pp. 14–22, 2024, doi: 10.5541/ijot.1412797.
ISNAD Zerfa, Abdnour et al. “Analysis of Thermodynamic Models for Liquid-Vapor Equilibrium: Evaluating Accuracy and Applicability”. International Journal of Thermodynamics 27/4 (December 2024), 14-22. https://doi.org/10.5541/ijot.1412797.
JAMA Zerfa A, Madanı H, Grıne H, Beıcha A. Analysis of Thermodynamic Models for Liquid-Vapor Equilibrium: Evaluating Accuracy and Applicability. International Journal of Thermodynamics. 2024;27:14–22.
MLA Zerfa, Abdnour et al. “Analysis of Thermodynamic Models for Liquid-Vapor Equilibrium: Evaluating Accuracy and Applicability”. International Journal of Thermodynamics, vol. 27, no. 4, 2024, pp. 14-22, doi:10.5541/ijot.1412797.
Vancouver Zerfa A, Madanı H, Grıne H, Beıcha A. Analysis of Thermodynamic Models for Liquid-Vapor Equilibrium: Evaluating Accuracy and Applicability. International Journal of Thermodynamics. 2024;27(4):14-22.