Abstract
A large-scale three-dimensional molecular dynamics type simulation study of dense granular media was performed to investigate the flow dynamics of grains in a spinning bucket at high frequencies. By utilizing the results obtained from simulations and using a continuum approach the hydrodynamic equations are presented and an expression for viscosity is obtained. The hydrodynamic equations were solved numerically to predict the flow dynamics of grains spinning at high frequencies in a cylindrical bucket. The model results were found to be consistent with experimentally observed surface phenomena across a wide range of rotation rates, including the development of a depression near the axis of rotation at high rotation rates and the formation of a cusp in the central section of the bucket at lower rotation rates.
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