Computer Simulation of Oscillatory Processes Created by a Planetary Vibroprive With Kinematically Unbalanced Masses in Machines for Mixing Liquid Mixtures

Abstract

The article presents mathematical models and results of computer simulation of oscillatory processes created by a planetary vibrodrive with kinematically unbalanced masses in machines for mixing liquid mixtures. The proposed mathematical models cover the movement of the center of mass of the vibrodrive actuator during runout and in a steady-state state. They allow one to visualize the flow of a liquid mixture in the working area of the machine and to determine the components of the motion speed in the radial, circumferential, and axial directions. The purpose of computer simulation is to clarify the physical mechanism of mixing liquid media when combining the rotational movement of the working element with radial-axial oscillations, to streamline mixing a liquid mixture with the least effort and energy consumption, and to determine the conditions, under which the turbulization increases and there appear various vibromechanical turbulent conditions. Computer simulation of oscillatory processes based on the proposed mathematical models reflected the predominant capabilities of the considered vibrodrives in controlling the oscillation parameters of the working element of the machine for mixing liquid mixtures. The results of computer simulation obtained using advanced software allow one to evaluate the ongoing oscillatory processes by the visual appearance of vibromechanical turbulent modes and the speed of the particles in the flow of a mixing liquid, as well as to ensure the required optimal operating mode of the vibromachine by determining the necessary values of the setting parameters of the vibrodrive. The research determined the operating parameters of the considered vibromachine, at which a certain turbulent mode is achieved, and found the optimal conditions for mixing liquid mixtures, under which there appear turbulent flows increasing the mixing intensity.