Siberian Federal University

The unsteady process of deposition of a solid particle in a stationary liquid in a gravity separator is considered. To describe this process, a mathematical model is proposed that takes into account the gravity of the particle, the buoyant force of Archimedes and the resistance force of the liquid described by the quadratic Newton’s law of resistance. Within the framework of the proposed model, the problem of identifying the resistance coefficient according to an additional given condition regarding the position of the particle in the separator at a fixed time is posed. To solve the problem, the analytical solution of the model is first determined, and then the resulting solution is substituted in an additional condition specified in the integral form. After integration, the identification problem is reduced to a nonlinear transcendental equation with respect to the desired resistance coefficient. The method of simple iteration is used for the numerical solution of the obtained nonlinear equation. Based on the proposed computational algorithm, numerical experiments were carried out for the model data