A Novel Empirical Fractional Approach for Modeling the Clogging of Membrane Filtration During Protein Microfiltration

This study addresses the pervasive challenge of membrane filtration clogging across various industries. Eight new empirical fractional models are proposed based on the volume accumulation change curve. The effectiveness of these models in predicting material accumulation and characterizing clogging...

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Main Authors: Leila Cherifi, Yamina Ammi, Salah Hanini, Mohamed Hentabli, Ouafa Belkacem, Jérôme Harmand
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Membranes
Subjects:
Online Access:https://www.mdpi.com/2077-0375/15/4/99
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author Leila Cherifi
Yamina Ammi
Salah Hanini
Mohamed Hentabli
Ouafa Belkacem
Jérôme Harmand
author_facet Leila Cherifi
Yamina Ammi
Salah Hanini
Mohamed Hentabli
Ouafa Belkacem
Jérôme Harmand
author_sort Leila Cherifi
collection DOAJ
description This study addresses the pervasive challenge of membrane filtration clogging across various industries. Eight new empirical fractional models are proposed based on the volume accumulation change curve. The effectiveness of these models in predicting material accumulation and characterizing clogging patterns is evaluated. The models are validated against experimental data, achieving impressive coefficients of determination (<i>R</i><sup>2</sup>) between 0.9896 and 0.9997 and relative root mean squared errors (nRMSE) ranging from 0.8674% to 2.9548%. Furthermore, comparing the results with theoretical models of Hermia allows us to relate the empirical models to clogging mechanisms.
format Article
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institution OA Journals
issn 2077-0375
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publishDate 2025-03-01
publisher MDPI AG
record_format Article
series Membranes
spelling doaj-art-ace5026aa7ee466291ffbbd4484b94572025-08-20T02:28:37ZengMDPI AGMembranes2077-03752025-03-011549910.3390/membranes15040099A Novel Empirical Fractional Approach for Modeling the Clogging of Membrane Filtration During Protein MicrofiltrationLeila Cherifi0Yamina Ammi1Salah Hanini2Mohamed Hentabli3Ouafa Belkacem4Jérôme Harmand5Laboratory of Biomaterials and Transport Phenomena (LBMPT), Faculty of Technology, University Yahia Fares of Medea, Medea 26000, AlgeriaLaboratory of Biomaterials and Transport Phenomena (LBMPT), Faculty of Technology, University Yahia Fares of Medea, Medea 26000, AlgeriaLaboratory of Biomaterials and Transport Phenomena (LBMPT), Faculty of Technology, University Yahia Fares of Medea, Medea 26000, AlgeriaLaboratory of Biomaterials and Transport Phenomena (LBMPT), Faculty of Technology, University Yahia Fares of Medea, Medea 26000, AlgeriaLaboratory of Biomaterials and Transport Phenomena (LBMPT), Faculty of Technology, University Yahia Fares of Medea, Medea 26000, AlgeriaLaboratory of Environmental Biotechnology (LBE), National Research Institute for Agriculture, Food and the Environment (INRAE), UR0050, University of Montpellier, 11100 Narbonne, FranceThis study addresses the pervasive challenge of membrane filtration clogging across various industries. Eight new empirical fractional models are proposed based on the volume accumulation change curve. The effectiveness of these models in predicting material accumulation and characterizing clogging patterns is evaluated. The models are validated against experimental data, achieving impressive coefficients of determination (<i>R</i><sup>2</sup>) between 0.9896 and 0.9997 and relative root mean squared errors (nRMSE) ranging from 0.8674% to 2.9548%. Furthermore, comparing the results with theoretical models of Hermia allows us to relate the empirical models to clogging mechanisms.https://www.mdpi.com/2077-0375/15/4/99membrane filtrationcloggingmodelingdragonfly algorithmempirical fractional model
spellingShingle Leila Cherifi
Yamina Ammi
Salah Hanini
Mohamed Hentabli
Ouafa Belkacem
Jérôme Harmand
A Novel Empirical Fractional Approach for Modeling the Clogging of Membrane Filtration During Protein Microfiltration
Membranes
membrane filtration
clogging
modeling
dragonfly algorithm
empirical fractional model
title A Novel Empirical Fractional Approach for Modeling the Clogging of Membrane Filtration During Protein Microfiltration
title_full A Novel Empirical Fractional Approach for Modeling the Clogging of Membrane Filtration During Protein Microfiltration
title_fullStr A Novel Empirical Fractional Approach for Modeling the Clogging of Membrane Filtration During Protein Microfiltration
title_full_unstemmed A Novel Empirical Fractional Approach for Modeling the Clogging of Membrane Filtration During Protein Microfiltration
title_short A Novel Empirical Fractional Approach for Modeling the Clogging of Membrane Filtration During Protein Microfiltration
title_sort novel empirical fractional approach for modeling the clogging of membrane filtration during protein microfiltration
topic membrane filtration
clogging
modeling
dragonfly algorithm
empirical fractional model
url https://www.mdpi.com/2077-0375/15/4/99
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