Thermodynamics of Molecular Liquids in Random Porous Media: Scaled Particle Theory and the Generalized Van der Waals Equation

Holovko, M.; Shmotolokha, Volodymyr; Patsahan, T.

doi:10.1007/978-3-319-20875-6_1

Cited by 9 publications

(44 citation statements)

References 49 publications

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“…We note that, here and below, we use conventional notations [15][16][17][18], where the index "1" is used to denote a fluid component, the index "0" denotes matrix particles, while, for the scaled particles, the index "s" is used.…”

Section: Application Of the Scaled Particle Theory To The Descriptionmentioning

confidence: 99%

“…In accordance with the ansatz of the SPT theory [13][14][15][16][17][18], w(λ s , α s ) can be presented in the form…”

Section: Application Of the Scaled Particle Theory To The Descriptionmentioning

confidence: 99%

“…The multiplier 1/p 0 (α s , λ s ) appears due to an excluded volume occupied by matrix particles. The probability p 0 (α s , λ s ) is directly related to two different types of porosity introduced by us in [15][16][17][18]. The first one corresponds to the geometrical porosity…”

Section: Application Of the Scaled Particle Theory To The Descriptionmentioning

confidence: 99%

“…Following [17,22,23], we introduce an additional spherocylinder with the scaling diameter D s and the scaling length L s into a spherocylinder fluid in a porous medium:…”

Section: Application Of the Scaled Particle Theory To The Descriptionmentioning

confidence: 99%

“…The generalization of the results obtained in [15,16] to non-spherical molecules in porous media [17,18] allowed us to generalize the van der Waals equation [17] to anisotropic fluids in porous media. The investigations of the gas-liquid-nematic phase equilibria in the framework of the generalized van der Waals equation show a rich variety of phase behaviors that depends on the molecular shape, value of attractive intermolecular interactions, and porosity of porous media.…”

Section: Introductionmentioning

confidence: 99%

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Generalization of the van der Waals Equation

Holovko¹,

Shmotolokha²

2015

Ukr. J. Phys.

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The generalized van der Waals equation of state for anisotropic liquids in porous media consists of two terms. One of them is based on the equation of state for hard spherocylinders in random porous media obtained from the scaled particle theory. The second term is expressed in terms of the mean value of attractive intermolecular interactions. The obtained equation is used for the investigation of the gas-liquid-nematic phase behavior of a molecular system depending on the anisotropy of molecule shapes, anisotropy of attractive intermolecular interactions, and porosity of a porous medium. It is shown that the anisotropic phase is formed by the anisotropy of attractive intermolecular interactions and by the anisotropy of molecular shapes. The anisotropy of molecular shapes shifts the phase diagram to lower densities and higher temperatures. The anisotropy of attractive interactions widens significantly the coexistence region between the isotropic and anisotropic phases and shifts it to the region of lower densities and higher temperatures. It is shown that, for sufficiently long spherocylinders, the liquid-gas transition is localized completely within the nematic region. For all the considered cases, the decrease of the porosity shifts the phase diagram to the region of lower densities and lower temperatures. K e y w o r d s: fluids in random porous media, gas-liquid-nematic phase transitions, van der Waals equation, scaled particle theory, hard spherocylinders.

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Section: Application Of the Scaled Particle Theory To The Descriptionmentioning

confidence: 99%

“…In accordance with the ansatz of the SPT theory [13][14][15][16][17][18], w(λ s , α s ) can be presented in the form…”

Section: Application Of the Scaled Particle Theory To The Descriptionmentioning

confidence: 99%

Section: Application Of the Scaled Particle Theory To The Descriptionmentioning

confidence: 99%

“…Following [17,22,23], we introduce an additional spherocylinder with the scaling diameter D s and the scaling length L s into a spherocylinder fluid in a porous medium:…”

Section: Application Of the Scaled Particle Theory To The Descriptionmentioning

confidence: 99%