Crossover parametric equation of state for asymmetric fluids

Bakhshandeh, Amin; Behnejad, Hassan

doi:10.1016/j.chemphys.2012.09.024

Cited by 7 publications

(7 citation statements)

References 19 publications

(33 reference statements)

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“…There is not a generic EoS model. In fact, modeling the critical region remains to date one of the biggest problems not solved satisfactorily [75], [76].…”

Section: Equation Of State (Eos)mentioning

confidence: 99%

A theoretically modified PC-SAFT equation of state for predicting asphaltene onset pressures at low temperatures

Cañas-Marín

González

Hoyos

2019

Fluid Phase Equilibria

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PC-SAFT original para predecir curvas Amagat coherentes también se estudió en profundidad en esta tesis. Como resultado, se encontró que la falla de PC-SAFT está directamente relacionada con la repulsión de núcleo blando incluida a través de su diámetro efectivo original. Los potenciales intermoleculares como el pozo cuadrado con hombro cuadrado (SWSS), usado en PC-SAFT, no son lo suficientemente "suaves" para predecir correctamente estas curvas. Luego, es entonces necesario introducir potenciales intermoleculares lo suficientemente suaves, como el Lennard-Jones, tal y como se demuestra en esta disertación.Palabras clave: PC-SAFT, teoría de perturbaciones termodinámicas, teoría de ecuaciones integrales, potencial intermolecular, diámetro efectivo, presión de inicio de asfaltenos.

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“…There is not a generic EoS model. In fact, modeling the critical region remains to date one of the biggest problems not solved satisfactorily [75], [76].…”

Section: Equation Of State (Eos)mentioning

confidence: 99%

A theoretically modified PC-SAFT equation of state for predicting asphaltene onset pressures at low temperatures

Cañas-Marín

González

Hoyos

2019

Fluid Phase Equilibria

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“…• Almost all studies attempting to go beyond the immediate neighborhood of the critical point work in the simplified setting of revised scaling, which does not account for all observable fluid behavior. The only previous EOS not restricted to revised scaling is the crossover EOS of Bakhshandeh & Behnejad [4,5], which employs complete scaling, with scaling fields linear in P , T , and µ.…”

Section: A Multiphase Critical Equation Of Statementioning

confidence: 99%

“…Less close to the critical point, additional nonlinear correction terms appear in all four scaling fields. 4 If three or more near-critical phases coexist, there may be a nearby tricritical or multicritical point (Griffiths & Widom [25], Hankey et al [28], Griffiths [24], Mistura [43]), a situation not covered by the Ising universality class. An analysis of this situation requires further research; cf.…”

Section: Introductionmentioning

confidence: 99%

Analytic Representation of Critical Equations of State

Neumaier

2014

J Stat Phys

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A new form is proposed for equations of state (EOS) of thermodynamic systems in the 3-dimensional Ising universality class. The new EOS guarantees the correct universality and scaling behavior close to critical points and is formulated in terms of the scaling fields only -unlike the traditional Schofield representation, which uses a parametric form.Close to a critical point, the new EOS expresses the square of the strong scaling field Σ as an explicit function Σ 2 = D 2e −1 W (D −e 0 Θ) of the thermal scaling field Θ and the dependent scaling field D > 0, with a smooth, universal function W and the universal exponents e −1 = δ/(δ + 1), e 0 = 1/(2 − α). A numerical expression for W is derived, valid close to critical points.As a consequence of the construction it is shown that the dependent scaling field can be written as an explicit function of the relevant scaling fields without causing strongly singular behavior of the thermodynamic potential in the one-phase region.Augmented by additional scaling correction fields, the new EOS also describes the state space further away from critical points. It is indicated how to use the new EOS to model multiphase fluid mixtures, in particular for vapor-liquid-liquid equilibrium (VLLE) where the traditional revised scaling approach fails.A thermodynamic field is a function of pressure P , absolute temperature T , and the chemical potential µ i of each pure component i in the mixture. For a fluid with C components, the physically realizable thermodynamic states form a (C +1)-dimensional 1 As a result, much of the statistical mechanics literature on critical scaling is written in a "magnetic" terminology. Most of this language is inappropriate in a fluid mixture context. Hence we choose here an independent notation and indicate at times alternative traditional notation in footnotes.2 For a recent verification in case of the Lennard-Jones fluid see Watanabe et al. [58].

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“…The critical exponents are also universal; the first few values are approximately given by a ≈ 1.56383 (34), e ≈ 1.89036( 48), e 1 ≈ −0.52(3), e 2 ≈ −1.05( 8), e 3 ≈ −1.5 (3). (24) Much is known about the universal function Γ; see [31].…”

Section: A Multiphase Critical Equation Of Statementioning

confidence: 99%

A multi-phase, multi-component critical equation of state

Neumaier¹

2013

Preprint

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Realistic equations of state valid in the whole state space of a multi-component mixture should satisfy at least three important constraints: (i) The Gibbs phase rule holds. (ii) At low densities, one can deduce a virial equation of state with the correct multicomponent structure. (iii) Close to critical points, plait points, and consolute points, the correct universality and scaling behavior is guaranteed. This paper discusses semiempirical equations of state for mixtures that express the pressure as an explicit function of temperature and the chemical potentials. In the first part, expressions are derived for the most important thermodynamic quantities. The main result of the second part is the construction of a large family of equations of state with the properties (i)-(iii).

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Crossover parametric equation of state for asymmetric fluids

Cited by 7 publications

References 19 publications

A theoretically modified PC-SAFT equation of state for predicting asphaltene onset pressures at low temperatures

A theoretically modified PC-SAFT equation of state for predicting asphaltene onset pressures at low temperatures

Analytic Representation of Critical Equations of State

A multi-phase, multi-component critical equation of state

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