dc.contributor.author
Valverde, A.
dc.contributor.author
Cabrera-Codony, A.
dc.contributor.author
Calvo-Schwarzwalder, M.
dc.contributor.author
Myers, T.G.
dc.date.accessioned
2024-03-04T10:40:11Z
dc.date.accessioned
2024-09-19T14:29:49Z
dc.date.available
2024-03-04T10:40:11Z
dc.date.available
2024-09-19T14:29:49Z
dc.date.issued
2024-01-01
dc.identifier.uri
http://hdl.handle.net/2072/537450
dc.description.abstract
Experimental data demonstrates that the breakthrough curves of column adsorption exhibit qualitative differences related to the size of the adsorbent particles. Standard models do not account for particle size, consequently, in this paper we develop a new formulation that incorporates the diffusion of the adsorbate into the adsorbent particles. Two kinetic models are considered, Langmuir adsorption and a linear driving force. Approximate analytical solutions are developed for these two models coupled to mass flow and intra-particle diffusion equations. The accuracy of the analytical solutions is verified through comparison with numerical solutions of the full mathematical model. Comparison with experimental data confirms that the new analytical solutions show better agreement than previous models. However, in certain cases, neither form of model predicts the behaviour suggesting a combination of different effects contribute to the breakthrough form. © 2023 Elsevier Ltd
eng
dc.description.sponsorship
Funding text 1: This publication is part of the research projects PID2020-115023RB-I00 (funding A. Cabrera-Codony and T. Myers) financed by MCIN/AEI/10.13039/501100011033/ and by “ERDF A way of making Europe”, and TED2021-131455A-I00 (T. Myers). A. Valverde acknowledges support from the Margarita Salas UPC postdoctoral grants funded by the Spanish Ministry of Universities with European Union funds – NextGenerationEU ( UNI/551/2021 UP2021-034 ). T. Myers acknowledges the CERCA Programme of the Generalitat de Catalunya . The work was also supported by the Spanish State Research Agency , through the Severo Ochoa and Maria de Maeztu Program for Centres and Units of Excellence in R&D ( CEX2020-001084-M ). ; Funding text 2: T.G. Myers reports financial support was provided by Ministry of Science Technology and Innovations.This publication is part of the research projects PID2020-115023RB-I00 (funding A. Cabrera-Codony and T. Myers) financed by MCIN/AEI/10.13039/501100011033/ and by “ERDF A way of making Europe”, and TED2021-131455A-I00 (T. Myers). A. Valverde acknowledges support from the Margarita Salas UPC postdoctoral grants funded by the Spanish Ministry of Universities with European Union funds – NextGenerationEU (UNI/551/2021 UP2021-034). T. Myers acknowledges the CERCA Programme of the Generalitat de Catalunya. The work was also supported by the Spanish State Research Agency, through the Severo Ochoa and Maria de Maeztu Program for Centres and Units of Excellence in R&D (CEX2020-001084-M). The work described in this paper stems from a problem presented at the 2022 South African Mathematics in Industry Study Group.
dc.format.extent
14 p.
cat
dc.publisher
Elsevier Ltd
cat
dc.relation.ispartof
International Journal of Heat and Mass Transfer
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Adsorption; Advection-diffusion; Contaminant removal; Mathematical model; Pollutant removal; Scale-up; Travelling wave
cat
dc.title
Investigating the impact of adsorbent particle size on column adsorption kinetics through a mathematical model
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/publishedVersion
cat
dc.identifier.doi
10.1016/j.ijheatmasstransfer.2023.124724
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
