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The article presents the methods of modeling two-phase flows. The widespread application of issues related to two-phase flows in industry encourages to familiarize with the methods of modeling this type of flows. The article presents basic mathematical models of two-phase liquid-solid flow on the example of sedimentation. In addition, numerical methods for simulating the sedimentation process are presented. Paper presents the possibility of using the Boltzmann method, the so-called Lattice-Boltzmann methods in mod...

Despite the widespread use of sedimentation in the industry and numerous scientific works in this field, all factors affecting the process of sedimentation are still not sufficiently recognized. The sedimentation of fine-grained suspension must often be supported by a flocculation process or by using a multiflux filling. The particles of the solid phase of the suspension after the addition of the flocculant have the tendency to flocculate to form larger agglomerates, and thus their falling speed increases due to t...