The Kinetics of Sorption–Desorption Phenomena: Local and Non-Local Kinetic Equations

The kinetics of adsorption phenomena are investigated in terms of local and non-local kinetic equations of the Langmuir type. The sample is assumed in the shape of a slab, limited by two homogeneous planar-parallel surfaces, in such a manner that the problem can be considered one-dimensional. The lo...

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Main Authors: Giovanni Barbero, Antonio M. Scarfone, Luiz R. Evangelista
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Molecules
Subjects:
Online Access:https://www.mdpi.com/1420-3049/27/21/7601
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author Giovanni Barbero
Antonio M. Scarfone
Luiz R. Evangelista
author_facet Giovanni Barbero
Antonio M. Scarfone
Luiz R. Evangelista
author_sort Giovanni Barbero
collection DOAJ
description The kinetics of adsorption phenomena are investigated in terms of local and non-local kinetic equations of the Langmuir type. The sample is assumed in the shape of a slab, limited by two homogeneous planar-parallel surfaces, in such a manner that the problem can be considered one-dimensional. The local kinetic equations in time are analyzed when both saturation and non-saturation regimes are considered. These effects result from an extra dependence of the adsorption coefficient on the density of adsorbed particles, which implies the consideration of nonlinear balance equations. Non-local kinetic equations, arising from the existence of a time delay characterizing a type of reaction occurring between a bulk particle and the surface, are analyzed and show the existence of adsorption effects accompanied by temporal oscillations.
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spelling doaj.art-eff672aecff54ca68bdab1090d3189d22023-11-24T06:06:55ZengMDPI AGMolecules1420-30492022-11-012721760110.3390/molecules27217601The Kinetics of Sorption–Desorption Phenomena: Local and Non-Local Kinetic EquationsGiovanni Barbero0Antonio M. Scarfone1Luiz R. Evangelista2Dipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyDipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyDipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyThe kinetics of adsorption phenomena are investigated in terms of local and non-local kinetic equations of the Langmuir type. The sample is assumed in the shape of a slab, limited by two homogeneous planar-parallel surfaces, in such a manner that the problem can be considered one-dimensional. The local kinetic equations in time are analyzed when both saturation and non-saturation regimes are considered. These effects result from an extra dependence of the adsorption coefficient on the density of adsorbed particles, which implies the consideration of nonlinear balance equations. Non-local kinetic equations, arising from the existence of a time delay characterizing a type of reaction occurring between a bulk particle and the surface, are analyzed and show the existence of adsorption effects accompanied by temporal oscillations.https://www.mdpi.com/1420-3049/27/21/7601Langmuir equationlocal and non-local kinetic equationsorption–desorption phenomena
spellingShingle Giovanni Barbero
Antonio M. Scarfone
Luiz R. Evangelista
The Kinetics of Sorption–Desorption Phenomena: Local and Non-Local Kinetic Equations
Molecules
Langmuir equation
local and non-local kinetic equation
sorption–desorption phenomena
title The Kinetics of Sorption–Desorption Phenomena: Local and Non-Local Kinetic Equations
title_full The Kinetics of Sorption–Desorption Phenomena: Local and Non-Local Kinetic Equations
title_fullStr The Kinetics of Sorption–Desorption Phenomena: Local and Non-Local Kinetic Equations
title_full_unstemmed The Kinetics of Sorption–Desorption Phenomena: Local and Non-Local Kinetic Equations
title_short The Kinetics of Sorption–Desorption Phenomena: Local and Non-Local Kinetic Equations
title_sort kinetics of sorption desorption phenomena local and non local kinetic equations
topic Langmuir equation
local and non-local kinetic equation
sorption–desorption phenomena
url https://www.mdpi.com/1420-3049/27/21/7601
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