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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.02939 |
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| _version_ | 1866912222797627392 |
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| author | Myers, Timothy G. Calvo-Schwarzwalder, Marc Font, Francesc Valverde, Abel |
| author_facet | Myers, Timothy G. Calvo-Schwarzwalder, Marc Font, Francesc Valverde, Abel |
| contents | A mathematical model is developed to describe column adsorption when the contaminant constitutes a significant amount of the fluid. This requires modelling the variation of pressure and velocity, in addition to the usual advection-diffusion-adsorption and kinetic equations describing concentration and adsorption rates. The model builds on previous work based on a linear kinetic equation, to include both physical and chemical adsorption. A semi-analytical solution is developed and validated against a numerical solution. The model is tested against experimental data for the adsorption of large quantities of CO$_2$ from a helium mixture, with a CO$_2$ volume fraction ranging from 14% to 69%, and a N$_2$ mixture with 16% to 33% CO$_2$ volume fraction. Our results show a significant improvement with respect to models for the removal of trace amounts of contaminant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02939 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modelling large mass removal in adsorption columns Myers, Timothy G. Calvo-Schwarzwalder, Marc Font, Francesc Valverde, Abel Fluid Dynamics 35Q35 A mathematical model is developed to describe column adsorption when the contaminant constitutes a significant amount of the fluid. This requires modelling the variation of pressure and velocity, in addition to the usual advection-diffusion-adsorption and kinetic equations describing concentration and adsorption rates. The model builds on previous work based on a linear kinetic equation, to include both physical and chemical adsorption. A semi-analytical solution is developed and validated against a numerical solution. The model is tested against experimental data for the adsorption of large quantities of CO$_2$ from a helium mixture, with a CO$_2$ volume fraction ranging from 14% to 69%, and a N$_2$ mixture with 16% to 33% CO$_2$ volume fraction. Our results show a significant improvement with respect to models for the removal of trace amounts of contaminant. |
| title | Modelling large mass removal in adsorption columns |
| topic | Fluid Dynamics 35Q35 |
| url | https://arxiv.org/abs/2404.02939 |