dc.contributor.author
Cabrera-Codony, A.
dc.contributor.author
Valverde, A.
dc.contributor.author
Born, K.
dc.contributor.author
Noreldin, O. A. I.
dc.contributor.author
Myers, Timothy
dc.date.accessioned
2025-06-11T12:29:18Z
dc.date.available
2025-06-11T12:29:18Z
dc.date.issued
2025-03-01
dc.identifier.uri
http://hdl.handle.net/2072/484420
dc.description.abstract
In this paper, a mathematical model is developed to describe the evolution of the concentration of compounds through a gas chromatography column. The model couples mass balances and kinetic equations for all components. Both single and multiple-component cases are considered with constant or variable velocity. Dimensional analysis is employed to identify negligible terms and so reduce the problem to the solution of a single integral equation. From this the concentration profile for all components may be determined (since they are scaled versions of each other). The full governing equations are also solved numerically to verify the analytical approach. Finally the analytical results are compared with experimental data, showing excellent agreement. This novel method is highly efficient and is significantly faster and simpler than previous numerical approaches.
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dc.description.sponsorship
T. Myers, A. Cabrera-Codony were funded by MCIN/AEI/ 10.13039/50110 0 011033/ and by \u201C ERDF A way of making Europe \u201D, grant number PID2020-115023RB-I00 . TM acknowledges the CERCA Programme of the Generalitat de Catalunya and the Spanish State Research Agency (AEI) , through the Severo Ochoa and Maria de Maeztu Program for Centres and Units of Excellence in R&D ( CEX2020-001084-M ). ACC acknowledges AEI for Juan de la Cierva Incorporaci\u00F3n fellowship ( IJC2019-038874-I ). ; Funding text 2: 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 ) ; Funding text 3: First of all we would like to thank Prof. David Mason for his tireless dedication towards the South African Mathematics in Industry Study Groups. Many inspiring problems have arisen in these meetings. The work described in this paper being just one of them!, T. Myers, A. Cabrera-Codony were funded by MCIN/AEI/10.13039/50110 0 011033/ and by \u201CERDF A way of making Europe\u201D, grant number PID2020-115023RB-I00. TM acknowledges the CERCA Programme of the Generalitat de Catalunya and the Spanish State Research Agency (Agencia Estatal de Investigacion), through the Severo Ochoa and Maria de Maeztu Program for Centres and Units of Excellence in R&D (CEX2020-001084-M). ACC acknowledges AEI for a Juan de la Cierva Incorporaci\u00F3n fellowship (IJC2019-038874-I) and the ShERLOcK project (PID2020-112615RA-I00). LEQUIA has been recognized as \u201Dconsolidated research group\u201D (Ref 2021 SGR1352) by the Catalan Ministry of Research and Universities. 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), O. A. I. Noreldin acknowledges financial support from the University of Zululand.
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dc.format.extent
11 p.
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dc.relation.ispartof
Partial Differential Equations in Applied Mathematics
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dc.rights
Attribution 4.0 International
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Advection–diffusion equation
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dc.subject.other
Column adsorption
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dc.subject.other
Compounds separation
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dc.subject.other
Gas chromatography
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dc.subject.other
Mathematical model
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dc.title
Mathematical modelling of flow and adsorption in a gas chromatograph
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/publishedVersion
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dc.identifier.doi
10.1016/j.padiff.2025.101074
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
