Studying the applicability of the algebraic slip model for prediction dispersed phase motion in the flow

Two different approaches (Eulerian and Langrangian ones) are currently available for the analysis of the behavior of solid particles in flows. In the Lagrangian method, trajectories of the individual size fractions are evaluated by solving time dependent ordinary differential equations. In the Eulerian approach, partial differential equations for the conservation of mass and momentum are written for each of the particles fractions, which are solved together with the equation of the liquid flow. The particles’ drift model is based on the algebraic slip velocity approach. In this approach, the relative velocities between particles and liquid are evaluated by consideration of the forces acting on the particles. The analysis of the obtained results allows one to conclude that using the model of particles’ drift for and yields an error not exceeding $1\%$.