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Frictional-collisional regime for granular suspension flows down an inclined channel
1Cemagref, division ETNA, Domaine Universitaire, Boite Postale 76, 38402 Saint-Martin-d'Heres Cedex, France and Ecole Centrale de Paris, Laboratoire MSSMAT, CNRS UMR No. 8579, Allee des Vignes, 92295 Chatenay-Malabry Cedex, France.
Abstract:
Here granular suspensions refer to very concentrated suspensions of particles within a Newtonian fluid. Under certain conditions given in the paper, the bulk stresses mainly result from the combination of frictional and collisional interactions at the particle scale. The corresponding flow regime is called the frictional-collisional regime. The constitutive equation adapted to this regime is not well known. We propose a constitutive model based on the balance between frictional and collisional interactions. We have applied this model to granular flow down an inclined channel. It is shown that the mass flow rate is proportional to the flow depth.