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Kinetic theory applied to inclined flows

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Abstract

We apply the continuum equations of a kinetic theory to predict the features of uniform, steady, inclined flows of identical, frictional, inelastic spheres over a rigid, bumpy base between vertical, frictional side walls. Numerical solutions of these equations over a range of mass flow rates exhibit features seen in physical experiments and numerical solutions in the absence of side walls. For the densest flows, we employ a phenomenological extension of kinetic theory that involves a length scale associated with particle correlations. When a dense flow is thick enough, an algebraic balance between the production and dissipation of fluctuation energy reproduces the relation between mass flow rate and mass hold-up obtained when solving the boundary-value problem of the extended theory.

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Authors and Affiliations

  1. School of Civil and Environmental Engineering, Cornell University, Ithaca, NY, 14853, USA

    James T. Jenkins

  2. Department of Environmental, Hydraulics, Infrastructure, and Surveying Engineering, Politecnico di Milano, 20133, Milan, Italy

    Diego Berzi

Authors
  1. James T. Jenkins
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  2. Diego Berzi
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Correspondence to James T. Jenkins.

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Jenkins, J.T., Berzi, D. Kinetic theory applied to inclined flows. Granular Matter 14, 79–84 (2012). https://doi.org/10.1007/s10035-011-0308-x

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  • DOI: https://doi.org/10.1007/s10035-011-0308-x

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