Motion trajectory mathematical model of burden flow at the top of bell-less blast furnace based on coordinate transformation.

[Display omitted] • A new collision model is established between the particle and chute. • The point composite motion method is proposed. • It is the first time to obtain the particle's position and velocity distribution. The motion trajectory mathematical model of burden flow is the basis for implementing blast furnace (BF) charging operation, which is of great significance for the stable and efficient operation of BFs. To calculate the motion trajectory of the burden flow at the top of the BF, static and dynamic coordinate systems are first established. Then, coordinate transformation and point composite motion methods are proposed and implemented to calculate this motion trajectory. Finally, the motion trajectories of the single-particle, multi-particle, and entire burden flows are analyzed and compared with the simulation results of a 1:8 scale BF discrete element method model. The results indicate that the absolute percentage errors (APEs) of the particle's radial and Z -axis velocities are 7.89% and 4.65%, respectively, when the particle is at the chute tip in the single-particle flow trajectory. And the APEs of the radial and Z -axis velocities are 8.79% and 4.38%, respectively, when the burden flow is regarded as a particle. The foregoing demonstrates that the proposed mathematical model can effectively calculate the motion trajectory of the burden flow at the top of BF. [ABSTRACT FROM AUTHOR]