“…Hydrocyclones, which are widely used in various areas, including mineral processing, petrochemicals, environmental protection systems, and biological systems, are used for the separation of nonhomogeneous mixtures via centrifugal sedimentation. − These devices have the advantages of simple structures, nonmovable parts, and low investment costs, among others. In mineral processing, hydrocyclones are mainly used for classification, sorting, designing, and thickening, in addition to other functions. , Within hydrocyclones is the separation behavior of particles under the influence of centrifugal force, gravity, buoyancy, drag, etc., which is a highly developed turbulent movement, the internal hydrodynamic properties and particle movement behaviors are extremely complicated. − Because of their structural limitations, the separation process inevitably involves particle misplacement of overflow and underflow, which is usually characterized by reductions in the recovery yield and quality of the target products.…”