Abstract
Abstract The study of turbulent flow in mixtures consisting of gas and particulate matter is a current area of research among modern scientists. The main objective of this area is to prevent the reduction of burnout in flow‐through systems. Therefore, the purpose of this research is to develop a mathematical model of turbulent gas flow with solids to explore the structure of the combustion region in a channel with a partially open boundary to determine the interfacial interaction of the injection of a flat heterogeneous flow in a confined area and the influence of regime parameters on the ignition process. For this purpose, a modeling method was used, which involved using the fundamental laws of continuity of flow, conservation of energy, and the quantity of motion and matter, and an experiment was conducted to reconcile the proposed model with theoretical data. As a result of this work, a model based on the averaged Reynolds Navier–Stokes equations and an algorithm for solving a turbulent subsonic two‐dimensional flow in a heterogeneous medium based on an Euler–Lagrange representation have been developed. Thus, the effects of the parameters of entrainment, temperature, and component concentration on the combustion range and mixing intensity were determined. The proposed methodology can be applied to solve application problems of various kinds, for example, in the design of thermal power plants. The scope of the mathematical and numerical models developed is sufficiently broad that they are universal.