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Comparing the predictive ability of two- and three-parameter cubic equations of state in calculating specific heat capacity, Joule – Thomson coefficient, inversion curve and outlet temperature from Joule – Thomson valve

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Abstract In this study, six cubic equations of state (CEoSs) were used to predict the Joule-Thomson coefficient (JTC), specific heat capacity (SHC), inversion curve (IC) and outlet temperature of the… Click to show full abstract

Abstract In this study, six cubic equations of state (CEoSs) were used to predict the Joule-Thomson coefficient (JTC), specific heat capacity (SHC), inversion curve (IC) and outlet temperature of the Joule-Thomson (JT) valve parameters. The accuracy of each CEoS was evaluated from the comparison of experimental data with obtained results. Of the six CEoSs, three-paramter CEoSs— Esmaeilzadeh and Roshanfekr (ER), Harmen and Knapp (HK), and Patel and Teja (PT)— were more accurate than two-paramter equations— Nasrifar and Moshfeghian (NM), Peng-Robinson (PR), and Soave-Redlich-Kwong (SRK). Ironically, original SRK showed the optimum accuracy in estimation of JTC. In addition, the Joule-Thomson inversion curves (JTIC) were plotted for pure gases. Most of the CEoSs showed reasonable prediction on low-temperature branch of JTIC, but only original SRK and PT CEoSs estimated well at high-temperature branch. For two-parameter CEoSs, the effect of employing different α-functions and adding volume translation factor were also examined. The error analysis showed that the accuracy of original PR CEoS was significantly improved when volume translation factor was included as a third parameter. In addition, the SRK-Twu88 and PR-Twu91 CEoSs showed higher accuracy in prediction of SHC as compared to original SRK and original PR.

Keywords: inversion; temperature; joule; joule thomson; ceoss

Journal Title: Cryogenics
Year Published: 2021

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