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Modeling of Deposition of Solid Particles at Cleaning of Oil in Gravitational Separator

The non-stationary process of sedimentation of a solid spherical particle in a fluid at rest in a gravitational separator is considered. To describe this process, we propose a mathematical model that takes into account viscous friction forces, which is determined on the basis of the Prandtl semi-empirical theory of turbulence, Basse hereditary force, as well as the added mass force. To implement the proposed model, a difference method is used. Using a numerical experiment, the effects of various forces on the particle deposition rate are investigated.