Theoretical Research of Material Corpuscles Traffic in Centrifugal Apparatuses with Curvilinear Blades and a Variable Angle of Ascent

Abstract

When designing centrifugal scattering fertilizing devices, it is very important to find the parameters and modes of operation of these machines, which would give the best effect when fertilizing. An important role is played by blades that provide the desired trajectory and velocity of relative motion. Nowadays scattering devices working with straight blades in theoretical terms are studied well enough. The influence of shape curved blade on kinematic parameters of a particle can be useful in the design of relevant working bodies. Such blades (both straight and curved) are mounted orthogonally to the disc and provide the motion of a particle on it in the horizontal plane. At the time when particles leave the disc a vector of its absolute velocity is parallel to the plane of the disc. However scattering particles is more effective when they are leaving the working body flying upwards at an angle to the plane of the disk. Such scattering cone provides centrifugal scattering bodies that have straight blades which are fixed at an angle to the plane of the disc. From a theoretical point of view it is interesting to study of a particle motion on a curved blade when the angle of ascent particles increases from zero to a given value at the time of the ascent of the blade. Based on this, the article establishes generalized differential equations of motion of a particle in a centrifugal devices along the curved blades with a variable angle of ascent. Also, a comparative analysis of kinematic parameters of motion for straight and curved blades, from which it follows that the replacement blades on straight, curved achieves the same effect (absolute particle velocity at the time of the ascent of the blade) has been made. With an unlimited length of the blade in a circle arc, a particle vibrates on it up and down with attenuation up to a full stop if tensions continue indefinitely and without friction.