Mathematical model of a multistage sieve classifier for granular materials

On a Mathematical Model Describing Optimal Processing Mechanism of Dispersed Granular Materials in Gravitational Flow With Horizontal or Inclined Vibrating Sieve Classifying Screens

“…The investigation of the motion and mechanics of the gravitational processing of disperse granular materials is important for solution of a wide spectrum of technological processes, including the chemical technology of treatment (with or without the decoration-compression procedure) of granular mineral fertilizers and their drying and sorting/separation by means of vibrating sieve classifying screens, in particular. Apart from technological processes of different kind, the investigation of dynamics of disperse granular media is extremely important for solution of such problems as mineral extraction, engineering, geology -the motion and erosion of soils, in particular, and so on (for instance, see [1]- [7] and the references therein). Currently, there exist two methods for mathematical modelling of the dynamics of disperse granular materials: the first method -this is the consideration of disperse granular media on the level of separate unconnected, but interacting particles ( [5], [7]); the second method -this is the consideration of this media from the point of view of continuum mechanics ( [3], [4], [6]).…”

“…Apart from technological processes of different kind, the investigation of dynamics of disperse granular media is extremely important for solution of such problems as mineral extraction, engineering, geology -the motion and erosion of soils, in particular, and so on (for instance, see [1]- [7] and the references therein). Currently, there exist two methods for mathematical modelling of the dynamics of disperse granular materials: the first method -this is the consideration of disperse granular media on the level of separate unconnected, but interacting particles ( [5], [7]); the second method -this is the consideration of this media from the point of view of continuum mechanics ( [3], [4], [6]). When the first method of modelling is used, the flux of finite-size particles is considered, these particles being represented as rigid or elastic geometric figures, e.g., spheres, and it is attempted to derive rules, describing the behaviour of the particle flux as a whole.…”