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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MDPI AG
2022-11-01
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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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issn | 1420-3049 |
language | English |
last_indexed | 2024-03-09T18:48:28Z |
publishDate | 2022-11-01 |
publisher | MDPI AG |
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series | Molecules |
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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