Simulation of the movement of mineral fertilizer particles on the central working body, inclined at an angle to the horizon

Abstract

Goal. Justification of the working width of the machine for applying mineral fertilizers and its productivity depending on the structural and kinematic parameters, as well as the place of supply of the particles of mineral fertilizers to the surface of the spreading disk, inclined at an angle to the horizon, based on the computer analysis of the movement of the particles on the surface. centrifugal spreader. Methods. The research results presented in this work were obtained with the help of modeling methods, higher mathematics, theoretical mechanics, standard and developed computer programs for numerical calculations of the obtained mathematical models, and even methods of analysis of the obtained graphic dependencies between structural and kinematic parameters. Results. Surface application of mineral fertilizers is the most common and effective way of increasing soil fertility and obtaining high yields of agricultural crops. We have developed a new design of a centrifugal fat seeding device, which has a spreading disc, the axis of which is inclined to the horizontal plane, which allows to significantly increase the flight range of mineral fertilizer particles after they leave the disc blades. However, the design features of the inclined spreading disk require a careful justification of the parameters of the disk itself and the conditions for supplying it with mineral fertilizers from the feeder and the hopper. Such studies can be carried out with the help of computer modeling of the release of a particle of mineral fertilizer from the blade of a spreading disk, changing the structural and kinematic parameters of this process. Conclusions. On the basis of the mathematical model of the scattering of mineral fertilizer particles built by the authors and the obtained differential equations of motion of a particle of mineral fertilizer along the disc along the blade of a centrifugal fat-suspending working body inclined at an angle to the horizontal plane and the equations of the absolute motion of the particle and its descent. This made it possible to change the parameters of the supply of mineral fertilizer particles to the surface of the spreading disc, to make a computer analysis of the acceleration of the specified particle from the center of the disc to its periphery, as well as the movement of the particle after leaving the disc of the centrifugal spreading working body. New graphical dependences of the movement and speed of a particle of mineral fertilizer on time, constructive and kinematic parameters of the working body, as well as the coefficient of friction of the particle on the surface of the disc were constructed. The angular speed of the spreading disk, its radius, the angle of inclination of the disk to the horizon, and the initial radius of the supply of a particle of mineral fertilizer to the disk are taken as kinematic and design parameters of the centrifugal working body. We also obtained graphs of the dependence of the absolute speed of the fertilizer particle ascent from the disk of the working body on time and the above-mentioned parameters, which depends on the flight range of the fertilizer particle after leaving the blade of the disk of the centrifugal working body. This made it possible to obtain the working width of the machine for applying mineral fertilizers and its productivity as a final result.