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 |
| Nashr sanasi | 2026-05-25 |
| Jild | 9 |
| Son | 2 |
| Betlar | 110-116 |
| Til | Ingliz |
| DOI | 10.62132/ijdt.v9i2.382 |
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
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