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Flow of granular materials modeled as a non-linear fluid
Affiliation:1. Key Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education, Dalian University of Technology, Dalian 116024, China;2. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, China
Abstract:Recently, Massoudi (2011a) derived a generalized form of a constitutive relation related to Reiner's fluid model for wet sand, where not only the effects of volume fraction are incorporated in the rheological properties of the fluid, but also the shear viscosity depends on the shear rate. In this paper, we use this model to study the fully developed flow of granular-like materials down an inclined plane. The governing equations are made dimensionless and numerical solutions are presented for the various dimensionless parameters.
Keywords:Non-linear fluids  Reiner–Rivlin fluid  Inclined flow  Volume fraction  Granular materials
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