This study presents a mathematical and numerical model for filtration flow, solute transport, adsorption, and membrane fouling in a cylindrical porous filter. The model combines axisymmetric Brinkman–Darcy flow equations with advection–diffusion–reaction equations, Langmuir adsorption, and the linear driving force (LDF) model. It also considers porosity changes, particle deposition, cake formation, osmotic pressure, and membrane resistance growth. A finite difference scheme with CFL-based stability control is used for simulations. Results show that adsorption and particle deposition significantly reduce porosity and membrane permeability, leading to increased hydraulic resistance and flux decline. The model provides a useful framework for predicting fouling dynamics and optimizing porous filtration systems.
| Mualliflar | Ravshanov, N., Boborakhimov, B.I., Berdiyorov, Sh.Sh., Равшанов, Н., Боборахимов, Б.И., Бердиёров, Ш.Ш. |
|---|---|
| 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 | 2026-07-02 |
| Son | 3 |
| Betlar | 104-124 |
| Til | Ingliz |
| DOI | 10.71310/pcam.3_73.2026.08 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.3_73.2026.08 · Maqolaning asl sahifasi
cylindrical porous filter, membrane fouling, Brinkman–Darcy model, advection–diffusion–reaction equations, adsorption kinetics, Langmuir isotherm, concentration polarization, osmotic pressure, cake layer formation, porous media transport, finite difference method, filtration processes, цилиндрический пористый фильтр, загрязнение мембраны, модель Бринкмана–Дарси, уравнения адвекции–диффузии–реакции, кинетика адсорбции, изотерма Лангмюра, концентрационная поляризация, осмотическое давление, образование осадочного слоя, перенос в пористых средах, метод конечных разностей, процессы фильтрации
| APA | Ravshanov, N., Boborakhimov, B.I., Berdiyorov, Sh.Sh., Равшанов, Н., Боборахимов, Б.И., & Бердиёров, Ш.Ш. (2026). Membrane Fouling Characteristics During Filtration and Transport Processes in a Cylindrical Porous Filter. Ҳисоблаш ва амалий математика муаммолари, (3), 104-124. https://doi.org/10.71310/pcam.3_73.2026.08 |
|---|---|
| GOST (OAK) | Ravshanov, N. va b. Membrane Fouling Characteristics During Filtration and Transport Processes in a Cylindrical Porous Filter // Ҳисоблаш ва амалий математика муаммолари. – 2026. – № 3. – P. 104-124. – DOI: 10.71310/pcam.3_73.2026.08. |
| MLA | Ravshanov, N., Boborakhimov, B.I., Berdiyorov, Sh.Sh., Равшанов, Н., Боборахимов, Б.И., and Бердиёров, Ш.Ш. “Membrane Fouling Characteristics During Filtration and Transport Processes in a Cylindrical Porous Filter.” Ҳисоблаш ва амалий математика муаммолари, (3), 104-124, 2026. https://doi.org/10.71310/pcam.3_73.2026.08 |
| Chicago | Ravshanov, N., Boborakhimov, B.I., Berdiyorov, Sh.Sh., Равшанов, Н., Боборахимов, Б.И., and Бердиёров, Ш.Ш. “Membrane Fouling Characteristics During Filtration and Transport Processes in a Cylindrical Porous Filter.” Ҳисоблаш ва амалий математика муаммолари, (3), 104-124 (2026). https://doi.org/10.71310/pcam.3_73.2026.08 |
| Harvard | Ravshanov, N., Boborakhimov, B.I., Berdiyorov, Sh.Sh., Равшанов, Н., Боборахимов, Б.И., and Бердиёров, Ш.Ш (2026) ‘Membrane Fouling Characteristics During Filtration and Transport Processes in a Cylindrical Porous Filter’, Ҳисоблаш ва амалий математика муаммолари, (3), 104-124. https://doi.org/10.71310/pcam.3_73.2026.08 |
| BibTeX | @article{ravshanovn2026,
title = {Membrane Fouling Characteristics During Filtration and Transport Processes in a Cylindrical Porous Filter},
author = {Ravshanov, N. and Boborakhimov, B.I. and Berdiyorov, Sh.Sh. and Равшанов, Н. and Боборахимов, Б.И. and Бердиёров, Ш.Ш.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2026},
number = {3},
pages = {104-124},
doi = {10.71310/pcam.3_73.2026.08},
url = {https://doi.org/10.71310/pcam.3_73.2026.08}
} |
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