Mathematical Modeling of Gas-Solid Two-Phase Flows: Problems, Achievements and Perspectives (A Review)

Aleksey Yu. Varaksin and Sergei V. Ryzhkov ()
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Aleksey Yu. Varaksin: Joint Institute for High Temperatures, Russian Academy of Sciences, Moscow 125412, Russia
Sergei V. Ryzhkov: Thermal Physics Department, Bauman Moscow State Technical University, Moscow 105005, Russia

Mathematics, 2023, vol. 11, issue 15, 1-20

Abstract: Mathematical modeling is the most important tool for constructing theories of different kinds of two-phase flows. This review is devoted to the analysis of the introduction of mathematical modeling to two-phase flows, where solid particles mainly serve as the dispersed phase. The main problems and features of the study of gas-solid two-phase flows are included. The main characteristics of gas flows with solid particles are discussed, and the classification of two-phase flows is developed based on these characteristics. The Lagrangian and Euler approaches to modeling the motion of a dispersed phase (particles) are described. A great deal of attention is paid to the consideration of numerical simulation methods that provide descriptions of turbulent gas flow at different hierarchical levels (RANS, LES, and DNS), different levels of description of interphase interactions (one-way coupling (OWC), two-way coupling (TWC), and four-way coupling (FWC)), and different levels of interface resolution (partial-point (PP) and particle-resolved (PR)). Examples of studies carried out on the basis of the identified approaches are excluded, and they are also excluded for the mathematical modeling of various classes of gas-solid two-phase flows.

Keywords: gas-solid two-phase flows; mathematical modeling; Lagrangian and Eulerian modeling; large eddy simulation (LES); direct numerical simulation (DNS) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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