Mathematical modelling of the spherical particle motion along an inclined surface in the shear flow

In this paper, the motion of a spherical particle along an inclined surface in the shear flow is studied. Different modes of the particle motion in the flow such as rolling, slipping, and sliding are analyzed. Investigation results show that the velocity of particle center of mass increases with an increase in particle diameter and the particle velocity becomes stationary rapidly. Variation in the angular velocity is characterized by an abrupt increase at the initial time instant which is followed by the particle rolling at a constant angular velocity. Initially, the motion of small particles is characterized by rolling without sliding but then it transfers into a slip mode.