A multiscale method to calculate filter blockage
Filters that act by adsorbing contaminant onto their pore walls will experience a decrease in porosity over time, and may eventually block. As adsorption will generally be greater towards the entrance of a filter, where the concentration of contaminant particles is higher, these effects can also res...
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Cambridge University Press
2016
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| Online Access: | https://eprints.nottingham.ac.uk/37382/ |
| _version_ | 1848795447841259520 |
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| author | Dalwadi, Mohit P. Bruna, Maria Griffiths, Ian M. |
| author_facet | Dalwadi, Mohit P. Bruna, Maria Griffiths, Ian M. |
| author_sort | Dalwadi, Mohit P. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Filters that act by adsorbing contaminant onto their pore walls will experience a decrease in porosity over time, and may eventually block. As adsorption will generally be greater towards the entrance of a filter, where the concentration of contaminant particles is higher, these effects can also result in a spatially varying porosity. We investigate this dynamic process using an extension of homogenization theory that accounts for a macroscale variation in microstructure. We formulate and homogenize the coupled problems of flow through a filter with a near-periodic time-dependent microstructure, solute transport due to advection, diffusion and filter adsorption, and filter structure evolution due to the adsorption of contaminant. We use the homogenized equations to investigate how the contaminant removal and filter lifespan depend on the initial porosity distribution for a unidirectional flow. We confirm a conjecture made by Dalwadi et al. (Proc. R. Soc. Lond. A, vol. 471 (2182), 2015, 20150464) that filters with an initially negative porosity gradient have a longer lifespan and remove more contaminant than filters with an initially constant porosity, or worse, an initially positive porosity gradient. In addition, we determine which initial porosity distributions result in a filter that will block everywhere at once by exploiting an asymptotic reduction of the homogenized equations. We show that these filters remove more contaminant than other filters with the same initial average porosity, but that filters which block everywhere at once are limited by how large their initial average porosity can be. |
| first_indexed | 2025-11-14T19:32:14Z |
| format | Article |
| id | nottingham-37382 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:32:14Z |
| publishDate | 2016 |
| publisher | Cambridge University Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-373822020-05-04T18:21:57Z https://eprints.nottingham.ac.uk/37382/ A multiscale method to calculate filter blockage Dalwadi, Mohit P. Bruna, Maria Griffiths, Ian M. Filters that act by adsorbing contaminant onto their pore walls will experience a decrease in porosity over time, and may eventually block. As adsorption will generally be greater towards the entrance of a filter, where the concentration of contaminant particles is higher, these effects can also result in a spatially varying porosity. We investigate this dynamic process using an extension of homogenization theory that accounts for a macroscale variation in microstructure. We formulate and homogenize the coupled problems of flow through a filter with a near-periodic time-dependent microstructure, solute transport due to advection, diffusion and filter adsorption, and filter structure evolution due to the adsorption of contaminant. We use the homogenized equations to investigate how the contaminant removal and filter lifespan depend on the initial porosity distribution for a unidirectional flow. We confirm a conjecture made by Dalwadi et al. (Proc. R. Soc. Lond. A, vol. 471 (2182), 2015, 20150464) that filters with an initially negative porosity gradient have a longer lifespan and remove more contaminant than filters with an initially constant porosity, or worse, an initially positive porosity gradient. In addition, we determine which initial porosity distributions result in a filter that will block everywhere at once by exploiting an asymptotic reduction of the homogenized equations. We show that these filters remove more contaminant than other filters with the same initial average porosity, but that filters which block everywhere at once are limited by how large their initial average porosity can be. Cambridge University Press 2016-11-08 Article PeerReviewed Dalwadi, Mohit P., Bruna, Maria and Griffiths, Ian M. (2016) A multiscale method to calculate filter blockage. Journal of Fluid Mechanics, 809 . pp. 264-289. ISSN 1469-7645 Low-Reynolds-number flows Porous media Suspensions https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/a-multiscale-method-to-calculate-filter-blockage/E1872752B049B760A9AED88188377F73 doi:10.1017/jfm.2016.656 doi:10.1017/jfm.2016.656 |
| spellingShingle | Low-Reynolds-number flows Porous media Suspensions Dalwadi, Mohit P. Bruna, Maria Griffiths, Ian M. A multiscale method to calculate filter blockage |
| title | A multiscale method to calculate filter blockage |
| title_full | A multiscale method to calculate filter blockage |
| title_fullStr | A multiscale method to calculate filter blockage |
| title_full_unstemmed | A multiscale method to calculate filter blockage |
| title_short | A multiscale method to calculate filter blockage |
| title_sort | multiscale method to calculate filter blockage |
| topic | Low-Reynolds-number flows Porous media Suspensions |
| url | https://eprints.nottingham.ac.uk/37382/ https://eprints.nottingham.ac.uk/37382/ https://eprints.nottingham.ac.uk/37382/ |