Mathematical modelling of flow and adsorption in a gas chromatograph
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 variabl...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818125000026 |
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| author | A. Cabrera-Codony A. Valverde K. Born O.A.I. Noreldin T.G. Myers |
| author_facet | A. Cabrera-Codony A. Valverde K. Born O.A.I. Noreldin T.G. Myers |
| author_sort | A. Cabrera-Codony |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b102727d148d46da8a5b87546735cc64 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-b102727d148d46da8a5b87546735cc642025-01-19T06:26:46ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101074Mathematical modelling of flow and adsorption in a gas chromatographA. Cabrera-Codony0A. Valverde1K. Born2O.A.I. Noreldin3T.G. Myers4LEQUIA, Institute of the Environment, Universitat de Girona, SpainDepartment of Chemical Engineering, Universitat Politècnica de Catalunya, SpainSchool of Computer Science and Applied Mathematics, University of the Witwatersrand, Johannesburg, South AfricaDepartment of Mathematical Sciences, University of Zululand, South AfricaCentre de Recerca Matemàtica, Barcelona, Spain; Corresponding author.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.http://www.sciencedirect.com/science/article/pii/S2666818125000026Mathematical modelGas chromatographyColumn adsorptionAdvection–diffusion equationCompounds separation |
| spellingShingle | A. Cabrera-Codony A. Valverde K. Born O.A.I. Noreldin T.G. Myers Mathematical modelling of flow and adsorption in a gas chromatograph Partial Differential Equations in Applied Mathematics Mathematical model Gas chromatography Column adsorption Advection–diffusion equation Compounds separation |
| title | Mathematical modelling of flow and adsorption in a gas chromatograph |
| title_full | Mathematical modelling of flow and adsorption in a gas chromatograph |
| title_fullStr | Mathematical modelling of flow and adsorption in a gas chromatograph |
| title_full_unstemmed | Mathematical modelling of flow and adsorption in a gas chromatograph |
| title_short | Mathematical modelling of flow and adsorption in a gas chromatograph |
| title_sort | mathematical modelling of flow and adsorption in a gas chromatograph |
| topic | Mathematical model Gas chromatography Column adsorption Advection–diffusion equation Compounds separation |
| url | http://www.sciencedirect.com/science/article/pii/S2666818125000026 |
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