Flow of granular material in a partially filled rotating cylinder is studied using a boundary layer approach. Simple equations are derived to describe granular dynamics in a transverse plane. A small parameter is recognized, and the derived equations are solved analytically in the first-order approximation of the small parameter. Cascading layer thickness, mean velocity along the layer and profile of the free surface are determined in a closed analytical form.
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Elperin et al. (1998) studied this question.
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