Modeling the separation process of bulk mixtures by a centrifugal separator taking into account the change in the particle resistance coefficient
Keywords:
mathematical model, numerical algorithm, process, free flowing mixture, software, computing experimentAbstract
The mathematical model of the cleaning process of a cylindrical device operating on centrifugal force, describing the movement of particles and their resistance coefficients, is presented in the form of a system of nonlinear ordinary differential equations, along with numerical computation algorithms. The following forces acting on the particles in the dispersed mixture were considered in constructing the mathematical model: centrifugal force energy, the normal reaction force of the particle during cylinder rotation, gravitational force, the drag force on the particle’s motion, the displacement force, Coriolis force energy, and the time-dependent change of the particle’s shape coefficient. A numerical solution algorithm for the given problem was developed, and computational experiments were conducted using Python with various values of the input parameters. The results of the experiments conducted are presented in the form of graphs, and their analysis is provided in the conclusion section of the work.
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