Рақамли технологияларнинг назарий ва амалий масалалари 9-tom 2-san (2026) · 110-116-betler
Mathematical modelling of particle settling and concentration stratification in a two-phase dispersed mixture flow
Яхшибаев, Д.С., Курбонов, Н.М.
Annotaciya
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.
двухфазная дисперсная смесьгравитационное осаждениестратификациямодель Рахматулиназатрудненное осаждениетурбулентная диффузияводохранилищеtwo-phase dispersed mixturegravitational settlingstratification
Metadata derekkózi: jurnal OAI-PMH arxivi · Sindex tolıq mátindi saqlamaydı, derekkózge silteme beredi.