Mechanisms of Centrifugal Fluid System Separation Process in a Separator Having Double-Curved Inserts

The kinetics of flow of a viscous incompressible fluid between two closely lying parabola-shaped inserts (plates) rotating with the same angular velocity around a common axis is studied. The flow, in the inter-plate gap of the separator drum, of a weakly concentrated liquid + solid type of two-phase fluid is modeled. Based on the postulates of the theory of fluid flows in “sliding” mode, the internal problem of hydrodynamics along the flow in the chosen working space of the centrifugal equipment is proposed to be solved in linear formulation. For an isolated small spherical particle moving in the flow, the critical diameter of the particle (settling in the working space of the separator), which determines the separation efficiency, is calculated by solving the external problem of hydrodynamics.