The General Theory of Sorption Dynamics and Chromatography

Rachinskii, V. V.

doi:10.1007/978-1-4757-0061-9

Cited by 5 publications

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“…It has been shown that the traditional notions of the constancy of the dynamic characteristics of molecules in narrow pores [2][3][4] are wrong. Experimental data should be analyzed with allowance for the fact that the dynamic characteristics of an adsorbate in narrow pores depend fairly strongly on its concentration because of the influence of both the potential of the walls of the pores and the intermolecular interaction.…”

Section: Discussionmentioning

confidence: 99%

“…4. Concentration dependences of the viscosity coefficients of an argonkrypton mixture at X Ar = 0.5 in the surface layer (η 11 , curves 1-3), in the second near-surface layer (4)(5)(6), and at the center of a pore (η 55 , curves 7-9) for pores of different width H ⁄ λ = 20 (1, 4, 7), 10 (2, 5, 8), and 6 (3, 6, 9); 10) bulk phase.…”

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confidence: 99%

“…The influence of the width of a pore on the local viscosities in the first surface layer (curves 1-3), in the second near-surface layer (curves [4][5][6], and at the center of the pore (7-9) is shown in Fig. 4.…”

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Viscosity of a binary fluid in narrow slot-like pores

Tovbin

Gvozdeva

Zhidkova

2006

J Eng Phys Thermophys

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533.7 + 541.183 The concentration dependences of the shear-viscosity coefficient of a fluid, representing a binary mixture of components with molecules of approximately equal sizes, in narrow slot-like pores filled to a different degree (from a rarefied gas to a liquid) have been theoretically investigated with the use of a lattice-gas model accounting for the characteristic volume of atoms and interactions between them in the quasichemical approximation. This model allows one to determine the self-consistent equilibrium characteristics of a vapor-liquid system and the shear-viscosity coefficients of molecules with the use of a unique set of energy parameters. The influence of the activation energy of the surface migration of molecules on the local coefficients of viscosity has been considered. A molecular interpretation of the sliding friction of a fluid near the walls of pores has been given; this effect was explained by the surface migration of the mixture components.The transport of molecules in porous bodies determines the dynamic characteristics of gas and liquid flows in them. The sizes of the pores of disperse materials determine the catalytic, adsorption, and membrane processes occurring in them as well as the processes of their cleaning, wetting, impregnation, and drying [1-6]. The maximum width of narrow pores is equal to ,10 nm for a short-range, nonspecific, Lennard-Jones interaction potential between molecules (6-12), which corresponds to 25-30 monolayers [7][8][9]. This value was obtained from analysis of the conditions under which the surface potential influences the capillary condensation (for a long-range interaction potential, it increases with increase in the radius of the potential).In a narrow pore, the surface potential significantly influences the mobility of molecules and their distribution over the cross section of the pore. All transport characteristics of an adsorbate in such pores differ from those in the bulk of vapor and liquid phases. Among the most important dynamic characteristics of a substance is its shear viscosity. It should be noted that the Navier-Stokes equation cannot be used for narrow pores. In this case, kinetic transport equations for condensed media should be used. For organization and simulation of flows in narrow pores, it is necessary to know the transport characteristics of the system of these pores at the molecular level. In [10,11], a new molecular approach to representation of flows in narrow pores of one-component fluids with densities and temperatures varying in wide ranges has been proposed. It is based on the simplest molecular model of condensed media -the lattice-gas model that accounts for the characteristic volume of molecules and their interaction with each other [12,13]. This model can be used for fluids with concentrations changing in a wide range (from the gaseous to the liquid state) at widely varying temperatures, including the critical one, which allows one to investigate the dynamics of a fluid flow in the case of capillary condensation. Cl...

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Section: Discussionmentioning

confidence: 99%

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Viscosity of a binary fluid in narrow slot-like pores

Tovbin

Gvozdeva

Zhidkova

2006

J Eng Phys Thermophys

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“…It was established that the main components of the Earth atmosphere are oxygen, nitrogen, and carbon dioxide. More precise data on the air composition were subsequently obtained, using the physicochemical methods of chromatography [6] and mass spectrometry [7]. Obviously, for acceptance of adequate measures on stabilization of the climate it is also necessary to supervise sources of emissions of carbonic gas in large cities and industrial centres.…”

Section: Methods Of Investigations Of the Co 2 Contentmentioning

confidence: 99%

The Astrophysical Methods for Long-Term Monitoring of the CO<SUB>2</SUB> Content in the Earth Atmosphere

Khlystov¹,

Сомов²

2012

IJE

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We alert the astronomers carrying high-resolution observations of the Sun to a possibility to study global changes in the composition of the Earth atmosphere and other atmospheric characteristics using spectra containing telluric lines. This possibility is illustrated by solar observations carried in Moscow in visible and near infrared spectrum. A comparison of equivalent widths O 2 (λ6295 Å) and CO 2 (λ20,700 Å) lines, recorded with a spectrograph on the large vertical solar telescope ATB-1 at the Sternberg State Astronomical Institute from 1969 to 2007 reveals that during this period oxygen content in atmosphere above Moscow remained constant (within the limits of observational accuracy) whereas the carbon dioxide content increased significantly.

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“…The Goursat-Darboux equations describe various physical phenomena, for example, the gas sorption process [1,2]. Since real processes include perturbations varying within certain limits, taking these perturbations into account, we arrive at inclusions.…”

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On the properties of solutions to the Goursat-Darboux problem with boundary and distributed controls

Pogodaev

2007

Sib Math J

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We consider a control system described by the Goursat-Darboux equation. The system is controlled by distributed and boundary controls. The controls are subject to the constraints given as multivalued mappings with closed, possibly nonconvex, values depending on the phase variable. Alongside the initial constraints, we consider the convexified constraints and the constraints whose values are the extreme points of the convexified constraints. We study the questions of existence of solutions and establish connections between the solutions under various constraints.

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The General Theory of Sorption Dynamics and Chromatography

Cited by 5 publications

References 0 publications

Viscosity of a binary fluid in narrow slot-like pores

Viscosity of a binary fluid in narrow slot-like pores

The Astrophysical Methods for Long-Term Monitoring of the CO<SUB>2</SUB> Content in the Earth Atmosphere

On the properties of solutions to the Goursat-Darboux problem with boundary and distributed controls

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