Original scientific paper

https://doi.org/10.15255/KUI.2021.007

Fractional Calculus-based Modelling of Membrane Filtration

Chehrazad Mesli ; Laboratory of Biomaterials and Transport Phenomena (LBMPT), University of Médéa, Algeria
Maamar Laidi orcid.org/0000-0002-8977-9895 ; Laboratory of Biomaterials and Transport Phenomena (LBMPT), University of Médéa, Algeria
Salah Hanini ; Laboratory of Biomaterials and Transport Phenomena (LBMPT), University of Médéa, Algeria
Asma Adda ; Laboratory of Biomaterials and Transport Phenomena (LBMPT), University of Médéa, Algeria
Mohammed Moussaoui orcid.org/0000-0002-4748-1353 ; University of Bouira, Bouira, Algeria
Mohamed Hentabli orcid.org/0000-0002-6693-0708 ; Laboratory of Biomaterials and Transport Phenomena (LBMPT), University of Médéa, Médéa, Alžir

Abstract

The aim of this work was to model the deep bed and cake filtration process using an alternative approach based on a fractional calculus (FC). The considered experimental data in this study were extracted from published studies. The data used in FC models contained two inputs - initial concentration and time, and volume of filtrate as an output. The FC kinetic constants were tuned by fitting the experimental and predicted data through Dragonfly algorithm implemented in MATLAB programming software. The performance of the developed models was assessed using different metrics by comparing the experimental against the predicted data. The developed fractional model with nth order presented very acceptable metrics in comparison to the pseudo-nth order and displayed strong potential for estimating the volume of filtrate.




This work is licensed under a Creative Commons Attribution 4.0 International License.

Keywords

fractional calculus; Dragonfly algorithm; membrane filtration

Hrčak ID:

270985

URI

https://hrcak.srce.hr/270985

Publication date:

17.1.2022.

Article data in other languages: croatian

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