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An axisymmetric problem of suspension filtering with formation of elastic–plastic cake layer

The paper considers an axisymmetric problem of filtering suspensions with the formation of a cake on the filter surface. It is supposed that the cake has elastic–plastic properties. Using the mass conservation equation and Darcy’s law, the suspension filtration equations at the elastic–plastic regim...

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Main Authors: Khuzhayorov, Bakhtiyor Kh., Saydullaev, Usmonali, Ibragimov, Gafurjan I., Wahi, Nadihah
Format: Article
Published: Multidisciplinary Digital Publishing Institute 2022
Online Access:http://psasir.upm.edu.my/id/eprint/100229/
https://www.mdpi.com/2073-8994/14/6/1202
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spelling my.upm.eprints.1002292024-07-11T04:03:33Z http://psasir.upm.edu.my/id/eprint/100229/ An axisymmetric problem of suspension filtering with formation of elastic–plastic cake layer Khuzhayorov, Bakhtiyor Kh. Saydullaev, Usmonali Ibragimov, Gafurjan I. Wahi, Nadihah The paper considers an axisymmetric problem of filtering suspensions with the formation of a cake on the filter surface. It is supposed that the cake has elastic–plastic properties. Using the mass conservation equation and Darcy’s law, the suspension filtration equations at the elastic–plastic regime are derived, which characterize the partial irreversibility of the filtration characteristics when the system is unloaded after loading. An equation is also derived that describes the increase in the thickness of the cake. Problems of suspension filtering for the derived equations are posed and numerically solved. The role of partial irreversibility of deformation on the filtration characteristics is estimated. Distributions of compression pressure, the concentration of solid particles in the cake, relative permeability in the mode of primary and secondary loading of the system, as well as in the mode of unloading after the first loading are obtained. The growth dynamics of the cake thickness are also established. The parameters of plasticity in terms of particle concentration and permeability mainly affect the corresponding indicators, i.e., on the particle concentration distribution and on the relative permeability of the cake. It is shown, that depending on the change in the model parameters characterizing the elastic–plastic properties of the cake, the filtration characteristics change significantly. This indicates a significant effect of the elastic–plastic deformation of the cake on the suspension filtration characteristics. Multidisciplinary Digital Publishing Institute 2022-06-10 Article PeerReviewed Khuzhayorov, Bakhtiyor Kh. and Saydullaev, Usmonali and Ibragimov, Gafurjan I. and Wahi, Nadihah (2022) An axisymmetric problem of suspension filtering with formation of elastic–plastic cake layer. Symmetry, 14 (6). art. no. 1202. pp. 1-17. ISSN 2073-8994 https://www.mdpi.com/2073-8994/14/6/1202 10.3390/sym14061202
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description The paper considers an axisymmetric problem of filtering suspensions with the formation of a cake on the filter surface. It is supposed that the cake has elastic–plastic properties. Using the mass conservation equation and Darcy’s law, the suspension filtration equations at the elastic–plastic regime are derived, which characterize the partial irreversibility of the filtration characteristics when the system is unloaded after loading. An equation is also derived that describes the increase in the thickness of the cake. Problems of suspension filtering for the derived equations are posed and numerically solved. The role of partial irreversibility of deformation on the filtration characteristics is estimated. Distributions of compression pressure, the concentration of solid particles in the cake, relative permeability in the mode of primary and secondary loading of the system, as well as in the mode of unloading after the first loading are obtained. The growth dynamics of the cake thickness are also established. The parameters of plasticity in terms of particle concentration and permeability mainly affect the corresponding indicators, i.e., on the particle concentration distribution and on the relative permeability of the cake. It is shown, that depending on the change in the model parameters characterizing the elastic–plastic properties of the cake, the filtration characteristics change significantly. This indicates a significant effect of the elastic–plastic deformation of the cake on the suspension filtration characteristics.
format Article
author Khuzhayorov, Bakhtiyor Kh.
Saydullaev, Usmonali
Ibragimov, Gafurjan I.
Wahi, Nadihah
spellingShingle Khuzhayorov, Bakhtiyor Kh.
Saydullaev, Usmonali
Ibragimov, Gafurjan I.
Wahi, Nadihah
An axisymmetric problem of suspension filtering with formation of elastic–plastic cake layer
author_facet Khuzhayorov, Bakhtiyor Kh.
Saydullaev, Usmonali
Ibragimov, Gafurjan I.
Wahi, Nadihah
author_sort Khuzhayorov, Bakhtiyor Kh.
title An axisymmetric problem of suspension filtering with formation of elastic–plastic cake layer
title_short An axisymmetric problem of suspension filtering with formation of elastic–plastic cake layer
title_full An axisymmetric problem of suspension filtering with formation of elastic–plastic cake layer
title_fullStr An axisymmetric problem of suspension filtering with formation of elastic–plastic cake layer
title_full_unstemmed An axisymmetric problem of suspension filtering with formation of elastic–plastic cake layer
title_sort axisymmetric problem of suspension filtering with formation of elastic–plastic cake layer
publisher Multidisciplinary Digital Publishing Institute
publishDate 2022
url http://psasir.upm.edu.my/id/eprint/100229/
https://www.mdpi.com/2073-8994/14/6/1202
_version_ 1805889505639530496
score 13.211869

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