This work develops a complete three-dimensional mathematical model for the gravitational settling of a two-phase dispersed mixture and the vertical stratification of concentration in a water reservoir, formulated within the framework of Kh.A. Rakhmatulin’s theory of interpenetrating and interacting multiphase media. The system of mass and momentum conservation equations is written in Reynolds-averaged form and supplemented with the Boussinesq closure for turbulent diffusion and effective viscosity, together with the Stokes-Richardson-Zaki hindered settling law. The closure of the system is demonstrated by matching the eight unknown scalar functions with eight governing equations; physically grounded conditions are imposed on all six faces of the computational domain as well as at the initial time. Numerical computations carried out using a four-stage algorithm based on operator splitting and a finite-difference scheme on a staggered grid reproduce both qualitatively and quantitatively the time evolution of the concentration field, the formation of the clear-water/turbid interface, and the accumulation of the sediment layer.
| Mualliflar | Яхшибаев, Д.С., Курбонов, Н.М. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashriyot | ТАТУ Самарқанд филиали |
| ISSN | 2181-3086, 2181-3094 |
| Nashr sanasi | 2026-05-25 |
| Jild | 9 |
| Son | 2 |
| Betlar | 110-116 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| DOI | 10.62132/ijdt.v9i2.382 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.62132/ijdt.v9i2.382 · Maqolaning asl sahifasi
двухфазная дисперсная смесь, гравитационное осаждение, стратификация, модель Рахматулина, затрудненное осаждение, турбулентная диффузия, водохранилище, two-phase dispersed mixture, gravitational settling, stratification, Rakhmatulin model, hindered settling, turbulent diffusion, water reservoir
| APA | Яхшибаев, Д.С., & Курбонов, Н.М. (2026). Mathematical modelling of particle settling and concentration stratification in a two-phase dispersed mixture flow. Рақамли технологияларнинг назарий ва амалий масалалари, 9(2), 110-116. https://doi.org/10.62132/ijdt.v9i2.382 |
|---|---|
| GOST (OAK) | Яхшибаев, Д.С., Курбонов, Н.М. Mathematical modelling of particle settling and concentration stratification in a two-phase dispersed mixture flow // Рақамли технологияларнинг назарий ва амалий масалалари. – 2026. – T. 9, № 2. – P. 110-116. – DOI: 10.62132/ijdt.v9i2.382. |
| MLA | Яхшибаев, Д.С., and Курбонов, Н.М. “Mathematical modelling of particle settling and concentration stratification in a two-phase dispersed mixture flow.” Рақамли технологияларнинг назарий ва амалий масалалари, 9(2), 110-116, 2026. https://doi.org/10.62132/ijdt.v9i2.382 |
| Chicago | Яхшибаев, Д.С., and Курбонов, Н.М. “Mathematical modelling of particle settling and concentration stratification in a two-phase dispersed mixture flow.” Рақамли технологияларнинг назарий ва амалий масалалари, 9(2), 110-116 (2026). https://doi.org/10.62132/ijdt.v9i2.382 |
| Harvard | Яхшибаев, Д.С., and Курбонов, Н.М (2026) ‘Mathematical modelling of particle settling and concentration stratification in a two-phase dispersed mixture flow’, Рақамли технологияларнинг назарий ва амалий масалалари, 9(2), 110-116. https://doi.org/10.62132/ijdt.v9i2.382 |
| BibTeX | @article{article2026,
title = {Mathematical modelling of particle settling and concentration stratification in a two-phase dispersed mixture flow},
author = {Яхшибаев, Д.С. and Курбонов, Н.М.},
journal = {Рақамли технологияларнинг назарий ва амалий масалалари},
year = {2026},
volume = {9},
number = {2},
pages = {110-116},
doi = {10.62132/ijdt.v9i2.382},
url = {https://doi.org/10.62132/ijdt.v9i2.382}
} |
Boshqa maqola uchun iqtibos tayyorlash
This article analyzes modern scientific research conducted in the field of Smart Environment infrastructure and examines existing approaches to the development of decision support models. In recent years, due to the…
Substitution boxes, commonly known as S-boxes, are one of the most important nonlinear components of modern symmetric-key block encryption algorithms. Their main task is to introduce confusion and nonlinear…
This paper proposes a new feature extraction method for speaker recognition, called Delta-Gated Spike Encoding (DGSE). The proposed approach combines log-Mel spectrograms, temporal delta, adaptive thresholding, an…
This study is devoted to modeling and optimizing information exchange processes in a virtual platform for local product trade. The research object is the information flow within the digital platform, while the subject…
In this study, a new EWM-MCDM (Entropy Weight Method – Multi-Criteria Decision-Making) model was developed to identify ecologically suitable areas for afforestation on the dried bed of the Aral Sea. Using the Google…
This article examines the application of the Case-Based Reasoning (CBR) method in decision support systems for career choice. The relevance of the study is determined by the need to intellectualize career guidance…
This article examines the geometric modeling of Islamic decorative patterns and digital algorithms for their creation. The compositional structure of Islamic patterns, the laws of symmetry, repeating elements, and the…
This article analyzes the scientific-methodological foundations, architecture and pedagogical effectiveness of the «Mantiq» mobile platform, which monitors speech and cognitive development in preschool children using…
This study is aimed at assessing the impact of groundwater dynamics on the noosphere using modern information systems and integrated modeling approaches. The research proposes the use of remote sensing data and GIS…
This paper proposes BCA-YOLO, a YOLO-based architecture enhanced with three novel components. Bilateral Cross-Attention (BCA) block, which computes cross-attention between the feature maps of the left breast and the…
Рақамли технологияларнинг назарий ва амалий масалалари — barcha maqolalar · 2026-yil arxivi
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…
A three-dimensional mathematical model is proposed for the inflow of a turbid (sediment-laden) river flow into a density-stratified reservoir, accounting for phase separation and the breakdown of the layered structure…
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…