Computer investigation of mineral fertiliser particle movement along centrifugal spreader disc inclined under angle to horizontal plane

Abstract

Spreading of mineral fertilisers on the surface of the soil is the most widely used and effective way to increase the harvest of agricultural crops. The new construction of a centrifugal fertilizer spreading apparatus with the spreading disc the axis of which is inclined to the horizontal plane, developed by the authors, allows for essential increase of the distance of mineral fertiliser particles from leaving the blades of the disc. Nevertheless, the constructive peculiarities of the inclined spreading disc require comprehensive substantiation of the parameters of the disc and feeding mineral fertilisers from the feeder and the tank. The aim of the research is substantiation of the working width of the machine for mineral fertiliser spreading and productivity depending on the constructive and kinematic parameters, as well as the place where the mineral particles will be deposited on the surface of the spreading disc that is inclined at the angle to the horizon based on the performed computer analysis of movement of particles along the surface of the disc of the centrifugal spreader. The present research has been performed using the methods of modeling, theoretical mechanics and higher mathematics, as well as the methods of calculation, using graphs and computer modeling. Based on the mathematical model, previously developed by the authors, for spreading mineral fertiliser particles and the obtained differential equations of the movement of mineral fertiliser particles along the disc of the inclined under an angle to the horizontal plane working body and equations of the absolute movement of the particle leaving the disc of the working body, computer calculations are performed. The graphs of dependence of the absolute speed of mineral fertiliser particles leaving the disc of the working body on the time and the above mentioned parameters have been obtained, on which the distance of the mineral fertiliser particle after leaving the disc blade of the working organ is dependent. The angle speed of the disc and radius of feeding have higher influence on the relative speed of the particle leaving the blade. Rational values of the radius of the fertilizer supply do not exceed 0.5 of the radius of the disk of the fertilizer spreading working body. Changing the angle of the disc within 0°…40° does not influence the dispersion time of the particles and the values of the relative and absolute speed of particles leaving the blade. Rational disc inclination values to the horizontal plane are within 20° … 30°.