Movement of a Particle on the Inner Surface with a Preset Meridian

The particle movement on a surface which rotates around a vertical axis is considered in the article. The surface’s meridian is the parabola’s branch, offset from the axis of symmetry by a given value. When a particle hits the surface in the lower part of the segment, it accelerates with a simultaneous upward movement. Such movement is characterized by a change in relative (sliding) speed and absolute speed. The relative velocity firstly increases and then decreases to zero when the “sticking” of the particle. The absolute velocity of the particle increases all the time and becomes constant after its “sticking”. For the surface of a sieve with parabola meridian, the “sticking” of the particle occurs in a narrow range of changes in the meridian rise angle. As the angular velocity of the sieve rotation increases, this range increases very slowly. Differential equations of relative particle displacement are compiled and solved. Graphs of particle movement trajectories and velocity change are constructed. The regularity of the particle movement during it rises along the surface is found out. The obtained analytical dependencies allow determining the influence of structural and technological parameters on the movement process.