Abstract
A dynamic algorithm is proposed for three-dimensional packing of spherical solid particles. The particles are deposited within a specified region with a fixed rigid boundary. The velocity of each particle is proportional to its weight and forces due to contact of the particle with the boundary and neighbor particles. Dimensional analysis of the equations of particle motion is performed. The average density and coordination number distribution for an equilibrium packing are calculated. The dependence of these characteristics on viscosity, granulometric composition, and representation of initial conditions (numerical analogue of material pouring into a specified volume) is studied.
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