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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Published: |
Multidisciplinary Digital Publishing Institute
2022
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/100229/ |
| _version_ | 1848863268715626496 |
|---|---|
| author | Khuzhayorov, Bakhtiyor Kh. Saydullaev, Usmonali Ibragimov, Gafurjan I. Wahi, Nadihah |
| author_facet | Khuzhayorov, Bakhtiyor Kh. Saydullaev, Usmonali Ibragimov, Gafurjan I. Wahi, Nadihah |
| author_sort | Khuzhayorov, Bakhtiyor Kh. |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T13:30:13Z |
| format | Article |
| id | upm-100229 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:30:13Z |
| publishDate | 2022 |
| publisher | Multidisciplinary Digital Publishing Institute |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Khuzhayorov, Bakhtiyor Kh. Saydullaev, Usmonali Ibragimov, Gafurjan I. Wahi, Nadihah An axisymmetric problem of suspension filtering with formation of elastic–plastic cake layer |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/100229/ http://psasir.upm.edu.my/id/eprint/100229/ http://psasir.upm.edu.my/id/eprint/100229/ |