Mathematical modeling of loose material movement on mixer disc

Abstract

Considered bulk material movement, which is located on the horizontal surface of the disk set radius. Rotating around a vertical axis at a constant angular velocity. Recorded dynamic equation of bulk material in a cylindrical coordinate system by tensor expressions velocity deformation and stress after the selection of the members were the main boundary problem. Considering the boundary conditions on the free surface of the disc, presented as a solution in polynomial in the variable vertical axis and received a system of ordinary differential equations of the first order, describing the motion of loose material on the surface of the horizontal drive. As a result, solution of equations numerical method of Runhe-Kutt speeds depending on the bulk material from the mixer disk radius at different values of the angular velocity of its rotation.