Author(s): Riccardo Artoni; Andrea Santomaso; Paolo Canu

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Abstract: A model to simulate the dense flow of dry granular materials is presented. It is based on continuum, pseudo-fluid approximation. Balance equations and constitutive relations account for fluctuations in the velocity field, through the`granular temperature'concept; the fuctuating energy balance includes a`mobility enhancing'term due to`viscous heating'effects and a dissipative term which we assume, as a constitutive hypothesis, dependent on the isotropic part of the stress tensor and on shear rate, based on local friction considerations. Partial wall slip is also allowed by means of a slip-length approach. The model is applied to confined and free surface geometries. In confined geometries it predicts realistic flow patterns, and predicted stress profiles closely match experiments, including prediction of peak pressure where section changes. For free surface flows as flows down inclined planes, again the model seems to be promising: the existence of the two curves of avalanche stopping and starting angles (stop andstart) is found, together with the typical scaling of the velocity field.

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Year: 2010