Global thermodynamic behavior of fluid mixtures in the critical region

Jin, G. X.; Tang, Shaolong; Sengers, J. V.

doi:10.1103/physreve.47.388

Cited by 70 publications

(53 citation statements)

References 44 publications

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“…20 Subsequently, in the one-component limit A iso → A = (T c /r c P c )A ∼ and we can write: Since the critical parameters T c (ζ), η c (ζ), and P c (ζ) are functions of the field variable ζ while the experimental data for these parameters are available only as functions of the mole fraction x, in order to apply the isomorphic viscosity EoS to the mixtures, the variable x have to be converted into the variable ζ by using Eq. (41).…”

Section: The Isomorphism Principle Of Critical Phenomenamentioning

confidence: 99%

“…Since along the critical line ζ = x, the quantities T c (ζ), ρ c (ζ), and P c (ζ) can be defined as: In practice, the critical temperature and pressure are characterized by a polynomial form as: 20 Behnejad where M 1 and M 2 are molecular weights of the corresponding components.…”

Section: Applicationsmentioning

confidence: 99%

“…(5) are both functions of P r and T r as: 25 (12) (13) and the functional form of τ (T r ,P r ) and ϕ (T r ,P r ) were adopted as follow: 25 (14) (15) in which Q i were generalized in terms of acentric factor ω and molecular weight M in the following forms: 25 Behnejad Thermodynamic properties were made dimensionless using the critical parameters: (19) In addition, defining: (20) the SRK viscosity equation can be re-expressed in terms of dimensionless variables: where definitions of r, b', τ(T r ,P r ) and ϕ(T r ,P r ) are analogous to Eqs. (12)-(15).…”

Section: Viscosity Model Based On Cubic Esosmentioning

confidence: 99%

“…20,31,32 In this paper, we adopt the following relationship between the mole fraction x and the field variable ζ as: (42) …”

Section: The Isomorphism Principle Of Critical Phenomenamentioning

confidence: 99%

“…[11][12][13][14][15][16] Moreover, based on an asymmetric EoS, the crossover equation of state was considered to extend its range of applicability to a wider region around the critical point for the single and two-component fluids. [17][18][19][20][21] In the vicinity of critical point, the viscosity of fluid is one of the thermo-physical properties which exhibits an increasing anomaly. 22 Such critical abnormal behaviors were considered theoretically and experimentally.…”

Section: Introductionmentioning

confidence: 99%

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Isomorphic Viscosity Equation of State for Binary Fluid Mixtures

Behnejad

Cheshmpak

Jamali

2015

ACSi

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The thermodynamic behavior of the simple binary mixtures in the vicinity of critical line has a universal character and can be mapped from pure components using the isomorphism hypothesis. Consequently, based upon the principle of isomorphism, critical phenomena and similarity between P -ρ -T and T -η -(viscosity) -P relationships, the viscosity model has been developed adopting two cubic, Soave-Redlich-Kwong (SRK) and Peng-Robinson (PR), equations of state (EsoS) for predicting the viscosity of the binary mixtures. This procedure has been applied to the methane-butane mixture and predicted its viscosity data. Reasonable agreement with the experimental data has been observed. In conclusion, we have shown that the isomorphism principle in conjunction with the mapped viscosity EoS suggests a reliable model for calculating the viscosity of mixture of hydrocarbons over a wide pressure range up to 35 MPa within the stated experimental errors.

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Section: The Isomorphism Principle Of Critical Phenomenamentioning

confidence: 99%

Section: Applicationsmentioning

confidence: 99%

Section: Viscosity Model Based On Cubic Esosmentioning

confidence: 99%

“…20,31,32 In this paper, we adopt the following relationship between the mole fraction x and the field variable ζ as: (42) …”

Section: The Isomorphism Principle Of Critical Phenomenamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Isomorphic Viscosity Equation of State for Binary Fluid Mixtures

Behnejad

Cheshmpak

Jamali

2015

ACSi

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A crossover‐UNIQUAC model for critical and noncritical LLE calculations

et al. 2015

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A new model, named the crossover‐UNIQUAC model, has been proposed based on the crossover procedure for predicting constant‐pressure liquid–liquid equilibria (LLE). In this manner, critical fluctuations were incorporated into the classical UNIQUAC equation. Coexistence curves were estimated for systems having a diverse range of asymmetries. These systems included the LLE of five different mixtures, composed of nitrobenzene with one of the members of the alkane homologous family (either pentane, octane, decane, dodecane, or tetradecane), as well as an extra system having a different chemical nature, namely the mixture of n‐perfluorohexane and hexane, to further check the validity of the proposed approach. Using these nonideal mixtures, the validity of the new model was investigated within wide ranges, covering near‐critical to regions falling far away from the critical point. The graphical trends, as well as the quantitative comparison with experimental data indicated the good agreement of the proposed model results with the experimental data. A maximum AARD% value of 3.97% was obtained in calculating molar compositions by the proposed model for such challenging systems covering noncritical, as well as critical regions. In addition, to show the strength of the proposed crossover approach to describe properties other than LLE, molar heat capacities were investigated for the system of nitrobenzene + dodecane. © 2015 American Institute of Chemical Engineers AIChE J, 61: 3094–3103, 2015

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Thermodynamics of fluid mixtures near to and far from the critical region

Lue

Prausnitz

1998

AIChE Journal

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A theory for an equation of state for simple fluid mixtures valid both near to and far from critical points is presented. The base equation of state obtained from integral-equation theory using the mean-spherical approximation is used to compute the contribution of short-wavelength fluctuations to the free energy of the fluid mixture. Wilson's phase-space cell approximation, as extended by White, is used to compute the contribution of long-wavelength fluctuations.The resulting theory possesses nonclassic critical exponents similar to those observed experimentally. Far from the critical region, where long-wavelength fluctuations are not important, the theory reduces to that corresponding to the base equation of state. The complete theory is used to represent the thermodynamic properties and phase behavior of binary mixtures of methane, carbon dioxide and n-butane.In the critical region, agreement with experiment is dramatically improved upon, adding to the base equation of state corrections from long-wavelength fluctuations

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Global thermodynamic behavior of fluid mixtures in the critical region

Cited by 70 publications

References 44 publications

Isomorphic Viscosity Equation of State for Binary Fluid Mixtures

Isomorphic Viscosity Equation of State for Binary Fluid Mixtures

A crossover‐UNIQUAC model for critical and noncritical LLE calculations

Thermodynamics of fluid mixtures near to and far from the critical region

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