Kinetic Coefficients for Mixed Adsorbate Fluids in Narrow Pores

The kinetic coefficients (trace diffusion, mutual diffusion and shear viscosity) of molecules in slit-like and sphero-cylindrical mesoporous systems were studied in terms of the modified lattice-gas model (LGM). The LGM equations were derived for molecules of the mixture having a spherical shape and...

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Main Authors: Yu.K. Tovbin, A.B. Rabinovich, D.V. Yeremich
Format: Article
Language:English
Published: Hindawi - SAGE Publishing 2007-07-01
Series:Adsorption Science & Technology
Online Access:https://doi.org/10.1260/026361707783908328
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spelling doaj-0861d16d2afe438fb4be8d9c1fb095862021-04-02T11:23:34ZengHindawi - SAGE PublishingAdsorption Science & Technology0263-61742048-40382007-07-012510.1260/026361707783908328Kinetic Coefficients for Mixed Adsorbate Fluids in Narrow PoresYu.K. TovbinA.B. RabinovichD.V. YeremichThe kinetic coefficients (trace diffusion, mutual diffusion and shear viscosity) of molecules in slit-like and sphero-cylindrical mesoporous systems were studied in terms of the modified lattice-gas model (LGM). The LGM equations were derived for molecules of the mixture having a spherical shape and similar size. A new equation for the velocity of the thermal molecule was used. The theory takes the change in the mechanism of particle migration in different phases into account, viz. from pair collisions for the gas to the overcoming of the activation barrier by thermofluctuation for dense phases. At low mixture densities corresponding to an ideal gas phase, the LGM expression for the mutual diffusion coefficient agrees with the expression of the rigorous kinetic theory of gases. The theory allows the calculation of the kinetic coefficients for the components of binary mixtures in full gas-liquid density areas. The supramolecular structure of the sphero-cylindrical system was modelled by sections with a simple regular geometry (cylindrical and spherical) with the additional inclusion of junctions between different pore sections. The contributions of the near-wall regions caused by the molecule-wall potential to the general appearance of the phase diagrams and the effect of the pore size on the capillary condensation conditions were discussed.https://doi.org/10.1260/026361707783908328
collection DOAJ
language English
format Article
sources DOAJ
author Yu.K. Tovbin
A.B. Rabinovich
D.V. Yeremich
spellingShingle Yu.K. Tovbin
A.B. Rabinovich
D.V. Yeremich
Kinetic Coefficients for Mixed Adsorbate Fluids in Narrow Pores
Adsorption Science & Technology
author_facet Yu.K. Tovbin
A.B. Rabinovich
D.V. Yeremich
author_sort Yu.K. Tovbin
title Kinetic Coefficients for Mixed Adsorbate Fluids in Narrow Pores
title_short Kinetic Coefficients for Mixed Adsorbate Fluids in Narrow Pores
title_full Kinetic Coefficients for Mixed Adsorbate Fluids in Narrow Pores
title_fullStr Kinetic Coefficients for Mixed Adsorbate Fluids in Narrow Pores
title_full_unstemmed Kinetic Coefficients for Mixed Adsorbate Fluids in Narrow Pores
title_sort kinetic coefficients for mixed adsorbate fluids in narrow pores
publisher Hindawi - SAGE Publishing
series Adsorption Science & Technology
issn 0263-6174
2048-4038
publishDate 2007-07-01
description The kinetic coefficients (trace diffusion, mutual diffusion and shear viscosity) of molecules in slit-like and sphero-cylindrical mesoporous systems were studied in terms of the modified lattice-gas model (LGM). The LGM equations were derived for molecules of the mixture having a spherical shape and similar size. A new equation for the velocity of the thermal molecule was used. The theory takes the change in the mechanism of particle migration in different phases into account, viz. from pair collisions for the gas to the overcoming of the activation barrier by thermofluctuation for dense phases. At low mixture densities corresponding to an ideal gas phase, the LGM expression for the mutual diffusion coefficient agrees with the expression of the rigorous kinetic theory of gases. The theory allows the calculation of the kinetic coefficients for the components of binary mixtures in full gas-liquid density areas. The supramolecular structure of the sphero-cylindrical system was modelled by sections with a simple regular geometry (cylindrical and spherical) with the additional inclusion of junctions between different pore sections. The contributions of the near-wall regions caused by the molecule-wall potential to the general appearance of the phase diagrams and the effect of the pore size on the capillary condensation conditions were discussed.
url https://doi.org/10.1260/026361707783908328
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