Three-Parameter Cubic Equation of State for Normal Substances

Comparison of the prediction power of 23 generalized equations of state: Part II — Parametric evaluation

“…The studied EOSs in the first part [1] were the RKS (RedlichKwong-Soave) [5], RKTCC (Redlich-Kwong-Twu-CoonCunningham) [15], RKNB (Redlich-Kwong-Nasrifar-Bolland) [16], HK (Harmens-Knapp) [17], PR (Peng-Robinson) [18,19], PRTCC (Peng-Robinson-Twu-Coon-Cunningham) [20], PRGGPR (Peng-Robinson-Gasem-Gao-Pan-Robinson) [9], KM (KubicMartin) [21], NB (Nasrifar-Bolland) [22], NM (NasrifarMoshfeghian) [23], MNM (modified NM) [24], TB (Trebble-Bishnoi) [25], TBS (Salim-Trebble-Bishnoi) [26], PT (Patel-Teja) [27], PTV (Patel-Teja-Valderrama) [28], KS (Kumar-Starling) [29], MKS (Chu-Zuo-Guo) [30], Jiuxun [31], MMM (Mohsennia-Modarres-Mansoori) [32], DPTG (Dashtizadeh-Pazouki-Taghikhani-Ghotbi) [33], LKP (Lee-Kesler-Plöcker et al) [34], BWRSH (Benedict-WebRubin-Starling-Han) [35] and BWRSHN (Benedict-WebRubin-Starling-Han-Nishumi) [36,37]. Details of the aforementioned equations (functional form and parameters) have been summarized in the first part [1] under six more general forms of TB, Martin, KS, Jiuxun, cubic hard-core and truncated Virial which encompass the others.…”

A modification to the Peng–Robinson-fitted equation of state for pure substances

“…Stryjek and Vera [16] also correlated m to the acentric factor ω with the same method used by Peng and Robinson: m=0.378893+1.4897153ω−0.17131848ω 2 +0.0196554ω 3 (6) In this work we use Eq. (6) to calculate parameter m.…”

“…Many efforts have been done to improve the liquid density predictions with the inclusion of a third parameter, Schmidt and Wenzel [4], Fuller [5], Harmens and Knapp [6], Patel and Teja [7], Usdin and McAuliffe [8], Valderrama and Cisternas [9], or with volume translation, Peneloux et al [10], Jhaveri and Youngren [11] and Frey et al [12]. Other efforts propose temperature-dependentparameters, like Zudkevitch and Joffe [13], to obtain temperature dependent functions by simultaneous regression of vapor pressure and liquid density.…”

The Patel–Teja and the Peng–Robinson EoSs performance when Soave alpha function is replaced by an exponential function

“…These equations appeared in the early 1980s and they are considered a step in the development of the cubic equations of state [7]. According to the literature [9], the more recognized models of this type are those of Schmidt-Wenzel [10], Harmens-Knapp [11], Patel-Teja [12], Yu-Lu [13] and Twu et al [14]. In a recent study, 23 generalized equations of state were compared and the Patel-Teja equation has been chosen as a member of the equations of state group that provide the better results to correlate and predict the thermodynamic properties of 102 pure substances [15,16].…”