This paper explores the numerical modeling of flow during filtration and transport of dissolved components in a cylindrical porous medium. The mathematical formulation is based on the axisymmetric Brinkman-Darcy equations describing hydrodynamic processes, as well as a system of equations for convective-diffusion transport taking into account adsorption on a solid matrix. The permeability of the porous medium is specified using the Kozeny-Carman model. The numerical solution is implemented using the finite volume method, which guarantees the fulfillment of conservation laws in each control volume. A computational algorithm for determining the distributions of pressure, velocities, and component concentrations is developed. The influence of porous structure parameters and adsorption kinetics characteristics on the efficiency and characteristics of the filtration process is studied.
| 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 | 2026-03-07 |
| Son | 1 |
| Betlar | 28-42 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.71310/pcam.1_71.2026.03 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.1_71.2026.03 · Maqolaning asl sahifasi
cylindrical porous medium, filtration, substance transport, Brinkman–Darcy model, adsorption, finite volume method, numerical simulation, цилиндрическая пористая среда, фильтрация, перенос вещества, модель Бринкмана–Дарси, адсорбция, метод конечных объемов, численное моделирование
| APA | Ravshanov, N., Boborakhimov, B.I., Berdiyorov, Sh.Sh., Равшанов, Н., Боборахимов, Б.И., & Бердиёров, Ш.Ш. (2026). Numerical Modeling of Filtration and Transport Processes in a Cylindrical Porous Filter Using the Finite Volume Method. Ҳисоблаш ва амалий математика муаммолари, (1), 28-42. https://doi.org/10.71310/pcam.1_71.2026.03 |
|---|---|
| GOST (OAK) | Ravshanov, N. va b. Numerical Modeling of Filtration and Transport Processes in a Cylindrical Porous Filter Using the Finite Volume Method // Ҳисоблаш ва амалий математика муаммолари. – 2026. – № 1. – P. 28-42. – DOI: 10.71310/pcam.1_71.2026.03. |
| MLA | Ravshanov, N., Boborakhimov, B.I., Berdiyorov, Sh.Sh., Равшанов, Н., Боборахимов, Б.И., and Бердиёров, Ш.Ш. “Numerical Modeling of Filtration and Transport Processes in a Cylindrical Porous Filter Using the Finite Volume Method.” Ҳисоблаш ва амалий математика муаммолари, (1), 28-42, 2026. https://doi.org/10.71310/pcam.1_71.2026.03 |
| Chicago | Ravshanov, N., Boborakhimov, B.I., Berdiyorov, Sh.Sh., Равшанов, Н., Боборахимов, Б.И., and Бердиёров, Ш.Ш. “Numerical Modeling of Filtration and Transport Processes in a Cylindrical Porous Filter Using the Finite Volume Method.” Ҳисоблаш ва амалий математика муаммолари, (1), 28-42 (2026). https://doi.org/10.71310/pcam.1_71.2026.03 |
| Harvard | Ravshanov, N., Boborakhimov, B.I., Berdiyorov, Sh.Sh., Равшанов, Н., Боборахимов, Б.И., and Бердиёров, Ш.Ш (2026) ‘Numerical Modeling of Filtration and Transport Processes in a Cylindrical Porous Filter Using the Finite Volume Method’, Ҳисоблаш ва амалий математика муаммолари, (1), 28-42. https://doi.org/10.71310/pcam.1_71.2026.03 |
| BibTeX | @article{ravshanovn2026,
title = {Numerical Modeling of Filtration and Transport Processes in a Cylindrical Porous Filter Using the Finite Volume Method},
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 = {1},
pages = {28-42},
doi = {10.71310/pcam.1_71.2026.03},
url = {https://doi.org/10.71310/pcam.1_71.2026.03}
} |
Boshqa maqola uchun iqtibos tayyorlash
Hypersingular integral equations are encountered in a number of fields, such as the dynamics of air and fluid flow, elasticity, and wave propagation theory. Analytical solutions for these integral equations exist, but…
Integrals of rapidly oscillating functions arise mainly in the theory of special functions and Fourier analysis, but also in other applied and computational sciences and engineering, for example, in theoretical physics…
For the numerical solution of the Dirichlet problem for the Poisson equation, both direct and iterative methods have been developed. However, the required number of arithmetic operations for direct methods, as well as…
This study addresses the mathematical modeling of the dispersion process of harmful substances released into the atmosphere in complex urban environments. A mathematical model has been developed to determine the…
This article examines unsteady flows of rheologically complex fluids in a flat channel using the Oldroyd-B model after the actuator is switched off. It is assumed that until the actuator is switched off, the fluid flow…
This article is devoted to the study of the properties of solutions of systems of heat conduction equations associated with nonlinear boundary conditions, to the construction of self-similar solutions and finding their…
This article examines the theoretical foundations and practical application of a mathematical model for forecasting groundwater movement and levels based on the analysis of modern literature. The mathematical model for…
In this article, within the framework of the Saint-Venant compatibility conditions, plane problems of plasticity theory formulated in terms of strains are presented, aimed at investigating the stress-strain state of a…
In the early 1960s, seminal results in differential game theory, where the game is described by an ordinary differential equation in a finite-dimensional space, were obtained by academicians L.S. Pontryagin and N.N…
The problem of constructing optimal quadrature formulas for approximate calculation of definite integrals and approximation of functions is one of the important problems of computational mathematics. These problems have…
Ҳисоблаш ва амалий математика муаммолари — barcha maqolalar · 2026-yil arxivi
This article examines compression as a meaning-oriented strategy in sign language translation and interpreting. Compression is understood not as arbitrary shortening, but as the selective reformulation of a source…
This study investigates the impact of Edge Computing on bandwidth utilization in Internet of Things (IoT)–driven Nigerian telecom networks. The rapid growth of IoT devices has significantly increased data traffic…
This article analyzes the scientific, pedagogical, and methodological foundations for the effective integration of national upbringing factors with modern global competencies in the context of continuous education…
This article addresses the problem of improving an adaptive traffic signal control algorithm at urban intersections by taking into account the dynamic characteristics of traffic flow. Fixed-time control under conditions…
Maqolada paxta xomashyosini yirik iflosliklardan tozalash jarayonida arrali baraban va kolosnikli panjara o‘rtasidagi o‘zaro ta’sirni takomillashtirish masalasi ko‘rib chiqilgan. Mavjud tozalagichlarda qo‘llaniladigan…
Maqolada paxta xomashyosini yirik va mayda iflosliklardan tozalash samaradorligini oshirishga qaratilgan ilmiy tadqiqotlar tizimlashtirilib, konstruktiv va texnologik omillarning o‘zaro ta’siri qiyosiy tahlil qilindi…