Development of a mathematical model of the process of mixing liquid feed in an experimental setup and optimization of design parameters

Abstract

The role of agricultural ecology in current conditions is important in the modern world, as it offers new methods and approaches to the implementation of production processes that should reduce the harmful effects on the environment. The paper outlines the prerequisites for the development of universal mechanization tools for the process of mixing dry and liquid components. The essence of the method is to study the motion of a particle with different design parameters, as well as the physical properties of the medium. The mathematical model of particle motion is built on the basis of theoretical mechanics and hydraulics. The calculation scheme of the impeller is performed from several iterations with a step-by-step approach to the simulated mixing process. In this case, differential equations of motion of dry material particles are applied. Based on the solutions of these equations, the particle motion zone within the impeller structure is determined. At the next stage, the calculation of velocities at different angular speeds and viscosity of the liquid medium is carried out. Thus, there is a consistent approach to the description of the process of mixing a particle with a liquid. According to the proposed algorithm, a program has been developed using MathCad V15 that provides the possibility of graphical and numerical control of the calculation results with a change in parameters. It is possible to change the structural and physical parameters of the environment. Examples of calculation and graphical interpretation of particle motion in the working chamber are presented. According to their results, the optimal modes of operation of the setup for the preparation of liquid feed are proposed.