This article presents an integrated mathematical model of radial filtration in a cylindrical filter, in which the flow movement is carried out from the outer layer to the inner cavity. Free flow areas are described by Navier-Stokes equations for incompressible fluid, where the filtration process through the porous layer is formalized based on Darcy’s law, and the pressure distribution is determined by the Poisson equation. The transfer of dissolved substances is modeled using the advection-diffusion equation. The model includes a mechanism for the evolution of porosity over time (sealing or clogging), which allows tracking the conjugate dynamics of the "pressure-velocity-porosityconcentration" parameters. The analysis showed that considering the vertical orientation of the cylindrical filter is a significant factor influencing the reduction of energy costs and increasing the selectivity of the process.
| Mualliflar | Saidov, U., Juraev, I., Turakulov, J., Саидов, У., Жураев, И., Туракулов, Ж. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2025-09-20 |
| Son | 4 |
| Betlar | 47-55 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.71310/pcam.4_68.2025.10 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.4_68.2025.10 · Maqolaning asl sahifasi
mathematical model, cylindrical filter, Navier–Stokes equations, Darcy’s law, Poisson equation, advection–diffusion, hydrodynamics, математическая модель, цилиндрический фильтр, уравнения Навье–Стокса, закон Дарси, уравнение Пуассона, адвекция–диффузия, гидродинамика
| APA | Saidov, U., Juraev, I., Turakulov, J., Саидов, У., Жураев, И., & Туракулов, Ж. (2025). Modeling the Process of Filtering a low-Concentration Solution through a Porous Medium. Ҳисоблаш ва амалий математика муаммолари, (4), 47-55. https://doi.org/10.71310/pcam.4_68.2025.10 |
|---|---|
| GOST (OAK) | Saidov, U. va b. Modeling the Process of Filtering a low-Concentration Solution through a Porous Medium // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 4. – P. 47-55. – DOI: 10.71310/pcam.4_68.2025.10. |
| MLA | Saidov, U., Juraev, I., Turakulov, J., Саидов, У., Жураев, И., and Туракулов, Ж. “Modeling the Process of Filtering a low-Concentration Solution through a Porous Medium.” Ҳисоблаш ва амалий математика муаммолари, (4), 47-55, 2025. https://doi.org/10.71310/pcam.4_68.2025.10 |
| Chicago | Saidov, U., Juraev, I., Turakulov, J., Саидов, У., Жураев, И., and Туракулов, Ж. “Modeling the Process of Filtering a low-Concentration Solution through a Porous Medium.” Ҳисоблаш ва амалий математика муаммолари, (4), 47-55 (2025). https://doi.org/10.71310/pcam.4_68.2025.10 |
| Harvard | Saidov, U., Juraev, I., Turakulov, J., Саидов, У., Жураев, И., and Туракулов, Ж (2025) ‘Modeling the Process of Filtering a low-Concentration Solution through a Porous Medium’, Ҳисоблаш ва амалий математика муаммолари, (4), 47-55. https://doi.org/10.71310/pcam.4_68.2025.10 |
| BibTeX | @article{saidovu2025,
title = {Modeling the Process of Filtering a low-Concentration Solution through a Porous Medium},
author = {Saidov, U. and Juraev, I. and Turakulov, J. and Саидов, У. and Жураев, И. and Туракулов, Ж.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2025},
number = {4},
pages = {47-55},
doi = {10.71310/pcam.4_68.2025.10},
url = {https://doi.org/10.71310/pcam.4_68.2025.10}
} |
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