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A deep bed filtration model of two-component suspension in dual-zone porous medium


Citation

Khuzhayorov, Bakhtiyor and Fayziev, Bekzodjon and Ibragimov, Gafurjan and Md. Arifin, Norihan (2020) A deep bed filtration model of two-component suspension in dual-zone porous medium. Applied Sciences, 10 (8). art. no. 2793. pp. 1-14. ISSN 2076-3417

Abstract

In the paper, a mathematical model for the filtration of two-component suspensions in a dual-zone porous medium is considered. The model consists of the mass balance equations, the kinetic equations for active and passive zones of porous medium for each component of the suspension and Darcy’s law. To solve the problem, a numerical algorithm for computer experimentation is developed on the basis of finite difference method. Based on numerical results, the main characteristics of suspension filtration in a porous medium are established. Influences of model parameters on transport and deposition of suspended particles of two-component suspension in porous media are analysed. It is shown that the polydispersity of suspension and multistage nature of the deposition kinetics can lead to various effects that are not characteristic for the transport of one-component suspensions with one-stage particle deposition kinetics. In particular, in distribution of the concentration of suspended particles in a moving fluid non-monotonic dynamics are obtained at individual points in the medium. It is shown that at the points of the medium near to the input section, the concentration of deposited particles can reach partial capacities in the passive zone.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.3390/app10082793
Publisher: MDPI
Keywords: Deep bed filtration; Deposition kinetics; Dual-zone porous media; Two-component suspension
Depositing User: Nabilah Mustapa
Date Deposited: 04 May 2020 16:27
Last Modified: 04 May 2020 16:27
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/app10082793
URI: http://psasir.upm.edu.my/id/eprint/38390
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