СТОХАСТИЧЕСКАЯ МОДЕЛЬ ПРОЦЕССА РАЗДЕЛЕНИЯ СЛОЖНЫХ ГЕТЕРОГЕННЫХ ДИСПЕРСНЫХ СИСТЕМ В ЦЕНТРИФУГАХ С РАДИАЛЬНО-ОСЕВЫМ ПОТОКОМ

Abstract

The article describes separation processes in apparatus with complex hydrodynamic conditions. The new approach to the theoretical study consists in taking into account the action of the centrifugal field and the field of random forces, as it was implemented earlier for the simplest structures, but also in a detailed examination of the radial and axial flows. The movement of particles is investigated in the cramped conditions of precipitation during their interaction with each other. The processes of separation in centrifugal devices of various types have been identified, subject to stochasticity, constrained movement of a set of real particles and the possibility of their dispersion and coagulation. The combined deterministic and stochastic effects on the dispersed phase in a centrifugal field are described by means of a differential equation, the solution of which makes it possible to calculate the fractional and total centrifugation efficiency with high accuracy. A semi-analytical method has been developed and implemented for one-and two-dimensional stochastic models for the approximate solution of non-stationary centrifugal boundary value problems. Compared to difference schemes Faedo-Galerkin method gives the solution of equation systems with a smaller number of unknowns defined in all values of the arguments. The use of the method is possible only in the case of homogeneous boundary conditions and is limited by the possibility of selecting a complete system of functions that would satisfy them. The proposed approach to identification of refining fuels and lubricants is preferable since it fully reflects the essence of the processes occurring in centrifuges with a radial-axial flow. Generalization of stochastic effects on centrifugation, taking into account the hydrodynamic features of the flow of shared media in a centrifugal field, allows calculating all indicators of cleaning fuels and oils from mechanical impurities without model experiments, predicting the total and fractional efficiency of fuel oil filters and oil filters of the internal combustion engines. The developed identification method of separating complex dispersed systems is aimed at the synthesis of systems and devices for oil purification and fuel oil preparation of increased efficiency with predetermined parameters of purification quality in operating conditions.