Dust distribution study at the blast furnace top based on k–S&#x03B5 –up model

The dust distribution law acting at the top of a blast furnace ( BF ) is of great significance for understanding gas flow distribution and mitigating the negative influence of dust particles on the accuracy and service life of detection equipment. The harsh environment inside a BF makes it difficult to describe the dust distribution. This paper addresses this problem by proposing a dust distribution k-Sε -Up model based on interphase ( gas-powder ) coupling. The proposed model is coupled with a k-Sε model ( which describes gas flow movement ) and a Up model ( which depicts dust movement ) . First, the kinetic energy equation and turbulent dissipation rate equation in the k-Sε model are established based on the modeling theory and single-Green-function two-scale direct interaction approximation ( SGF-TSDIA ) theory. Second, a dust particle movement Up model is built based on a force analysis of the dust and Newtonʼ s laws of motion. Finally, a coupling factor that describes the interphase interaction is proposed, and the k-Sε -Up model, with clear physical meaning, rigorous mathematical logic, and adequate generality, is developed. Simulation results and on-site verification show that the k-Sε -Up model not only has high precision, but also reveals the aggregate distribution features of the dust, which are helpful in optimizing the installation position of the detection equipment and improving its accuracy and service life.