MATHEMATICAL MODEL OF THE PROCESS OF GRAIN MATERIAL TRANSPORTATION IN A PNEUMATIC CONVEYOR

Abstract

For the movement of grain materials during their post-harvest processing, pneumatic screw conveyors are used, which
ensure the movement of grain over considerable distances. The results of the analysis of kinematic-dynamic processes are
presented, which are characteristic of two possible cases of complex movement or movement of grain material particles along
the surface of the spiral turn of the screw conveyor - in the absence of oscillatory processes of the screw drum and in the presence
of screw vibration. Based on the analysis of graphic constructions, it was established that the angle of deviation of a grain
material particle during its movement along the spiral turn of the screw varies in the range of 0...72 degrees, and depending on
the increase in the diameter and pitch of the screw, the deviation of the particle when changing the angle within 45...72 degrees
has a direct character, i.e. increases, and in the range of 0...45 degrees - an inverse character, i.e. decreases. The obtained
differential dependencies or mathematical models can be used to further substantiate the structural and kinematic parameters
of pneumatic screw transport mechanisms.