Machinery & Energetics

Equations for the relative motion of a particle along the periphery of a vertical screw are constructed, which rotates about its axis and is limited by a coaxial fixed cylinder. The equations are solved by numerical methods. Separately, the force of friction of the particle on the surface of the screw and the surface of the cylindrical housing is taken into account. The angular velocity of sliding of a particle along the surface of the screw is found. A graph was constructed to find the effective mode of particle transportation. A separate case is also considered when the screw is stationary and the particle descends on it under the action of the force of its own weight, as is the case with screw descents. The graphs of the kinematic characteristics of the functions of time are given. 

relative motion, vertical auger, particle, angular velocity of rotation, cylindrical shell, differential equations, kinematic parameters