Abstract

The modern practice of using vibratory machines involving small seeds of low weight faces such an undesirable phenomenon as the effect exerted on the kinematics of vibrational movement of particles of fractions of the seed mixture by the aerodynamic forces and momenta. The periodic movement of air relative to the working planes of a vibratory machine arises due to fluctuations in the packets of these planes, which form flat aerodynamic channels. Consequently, the issues of studying the processes of interaction between the working bodies of vibratory machines and the air environment, aimed to justify their structural improvements, appear relevant. Existing mathematical models, which assess the parameters of air movement relative to the working planes of vibratory machines, produce only a generalized pattern and are flat. This paper proposes a statement, as well as an estimated finite difference scheme, of solving a three-dimensional boundary value problem on calculating the field of velocities and pressures in the region of air, located between two parallel synchronously oscillating planes. The problem employs a system of differential equations to describe the flow of the perfect gas. The finite difference scheme has been solved by a sweep method.Using the sweep method to solve these kinds of problems makes it possible to ensure the convergence and stability of estimation schemes, regardless of the step and other parameters of the grid applied. A variant of the calculation has been given, which demonstrated the feasibility of the proposed method for the assigned boundary conditions and parameters of the vibrational mode of machine operation. It has been established that in the working space enclosed between two oscillating planes there are both vertical (transverse) and horizontal (longitudinal) components of air velocity, which change over time

Highlights

  • Nikiforov Senior Lecturer*Tolstolutskyi PhD, Head of Department Department of Automated Control Systems and Engineering Calculations State-Owned Enterprise Kharkiv Machine Building Design Bureau named A

  • The aerodynamic properties of seeds are widely used in seed cleaning practice, especially for the removal of impurities

  • The effective separation of seed mixtures with pronounced aerodynamic properties is carried out using devices that separate them based not on a single attribute, but rather based on a set of physical-mechanical properties: shape, roughness, and elasticity [1, 2]

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Summary

Nikiforov Senior Lecturer*

Tolstolutskyi PhD, Head of Department Department of Automated Control Systems and Engineering Calculations State-Owned Enterprise Kharkiv Machine Building Design Bureau named A. A. Morozov Plekhanivska str., 126, Kharkiv, Ukraine, 61001 V. S. Diundik PhD, Associate Professor Department of Armored Vehicles National Academy of National Guard of Ukraine Zakhysnykiv Ukrainy sq., 3, Kharkiv, Ukraine, 61001 *Department of Mechatronics and Machine Parts** **Kharkiv Petro Vasylenko National Technical

Introduction
Literature review and problem statement
The aim and objectives of the study
Construction of a numerical sweep algorithm for three orthogonal axes
The results obtained and their analysis
Discussion of results of studying the application of a sweep method
Findings
Conclusions

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