Mathematical Modeling of the Flow of a Low-Concentration Fluid through a Porous Layer of a Cylindrical Filter

Саидов, У., Жураев, И., Туракулов, Ж.

Рақамли технологияларнинг назарий ва амалий масалалари · 2025-yil

Annotatsiya

The article presents a comprehensive mathematical model of radial filtration in a cylindrical filter, where the fluid flows from the outer layer toward the central cavity. The regions of free flow are described by the Navier-Stokes equations for an incompressible fluid, while flow through the porous layer is formulated based on Darcy’s law. The pressure distribution is determined by solving the Poisson equation, and the transport of dissolved substances is modeled using the advection-diffusion equation. The model incorporates a time-dependent porosity evolution mechanism, enabling the analysis of the coupled dynamics of pressure, velocity, porosity, and concentration. It is noteworthy that accounting for the vertical orientation of the cylindrical filter plays an important role, contributing to reduced energy consumption and improved selectivity of the filtration process.

Maqola ma’lumotlari
MualliflarСаидов, У., Жураев, И., Туракулов, Ж.
JurnalРақамли технологияларнинг назарий ва амалий масалалари
NashriyotТАТУ Самарқанд филиали
ISSN2181-3086, 2181-3094
Nashr sanasi2025-11-01
Jild8
Son4
Betlar79-86
TilIngliz
Ilmiy sohaTexnika
DOI10.62132/ijdt.v8i4.305
Indeksga qo‘shilgan2026-08-26

DOI: 10.62132/ijdt.v8i4.305 · Maqolaning asl sahifasi

Kalit so‘zlar

математическая модель, цилиндрический фильтр, уравнения Навье-Стокса, закон Дарси, уравнение Пуассона, адвекция-диффузия, mathematical model, cylindrical filter, Navier-Stokes equations, Darcy’s law, Poisson equation, advection-diffusion

Ilmiy soha

Texnika

Iqtibos keltirish

APAСаидов, У., Жураев, И., & Туракулов, Ж. (2025). Mathematical Modeling of the Flow of a Low-Concentration Fluid through a Porous Layer of a Cylindrical Filter. Рақамли технологияларнинг назарий ва амалий масалалари, 8(4), 79-86. https://doi.org/10.62132/ijdt.v8i4.305
GOST (OAK)Саидов, У., Жураев, И., Туракулов, Ж. Mathematical Modeling of the Flow of a Low-Concentration Fluid through a Porous Layer of a Cylindrical Filter // Рақамли технологияларнинг назарий ва амалий масалалари. – 2025. – T. 8, № 4. – P. 79-86. – DOI: 10.62132/ijdt.v8i4.305.
MLAСаидов, У., Жураев, И., and Туракулов, Ж. “Mathematical Modeling of the Flow of a Low-Concentration Fluid through a Porous Layer of a Cylindrical Filter.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(4), 79-86, 2025. https://doi.org/10.62132/ijdt.v8i4.305
ChicagoСаидов, У., Жураев, И., and Туракулов, Ж. “Mathematical Modeling of the Flow of a Low-Concentration Fluid through a Porous Layer of a Cylindrical Filter.” Рақамли технологияларнинг назарий ва амалий масалалари, 8(4), 79-86 (2025). https://doi.org/10.62132/ijdt.v8i4.305
HarvardСаидов, У., Жураев, И., and Туракулов, Ж (2025) ‘Mathematical Modeling of the Flow of a Low-Concentration Fluid through a Porous Layer of a Cylindrical Filter’, Рақамли технологияларнинг назарий ва амалий масалалари, 8(4), 79-86. https://doi.org/10.62132/ijdt.v8i4.305
BibTeX
@article{article2025,
  title = {Mathematical Modeling of the Flow of a Low-Concentration Fluid through a Porous Layer of a Cylindrical Filter},
  author = {Саидов, У. and Жураев, И. and Туракулов, Ж.},
  journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
  year = {2025},
  volume = {8},
  number = {4},
  pages = {79-86},
  doi = {10.62132/ijdt.v8i4.305},
  url = {https://doi.org/10.62132/ijdt.v8i4.305}
}

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