Cellular filtration model in purifying fuels and lubricants from mechanical impurities

The paper describes a cellular model of fuel and lubricants cleaning developed by using a filtering material with a complex structure of cells with cylindrical and spherical collectors. It was offered to carry out the correction of moving dirty particles in cells of a filtering material subject to deviations of trajectories of insoluble particles under the external forces concerning trajectory of the dispersive medium in a cell. The constrained motion of polydisperse particles (subject to parietal effects) under perturbed flow of cylindrical and spherical collectors by the dispersion medium has been considered. Modeling efficient purification of motor fuels and oils from mechanical impurities has been carried out with a complex account of the main mechanisms of dispersion phase elimination during filtration. There has been given a diagram of the cellular filtration model with the radii of the filter cell (shell) and collector, the radial coordinates of the particle position, the angular coordinates of the particle position and the boundary screening path, the direction of gravity (acceleration), the velocity vectors of the incoming flow and a particle, the vectors of the radial and tangential velocity. According to the results of solving the differential equation by numerical methods, the boundary trajectory was constructed and the fractional dropout coefficient was found. The results of a computational experiment are illustrated. It has been inferred that considering the deviation when calculating the resistance against the particle motion using Stokes method reduces the filterability of the dispersed phase due to the proximity of the collector. The complexity of numerical methods for implementing a cellular stochastic filtering model based on the finite difference method is noted. It is recommended to consider various mechanisms of restraining the insoluble impurities in the interaction