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Constitutive Model for Granular-Fluid Flows Based on Stress Decomposition
Abstract In Bagnold’s description of rheological properties of a solid-fluid suspension, the shear and normal stresses demonstrate linear dependence on the shear rate in the ‘macro-viscous’ regime and quadratic dependence in the ‘grain-inertia’ regime. Based on this pioneering work, a framework for the modeling of solid-fluid flows is proposed in this paper. In the framework, the total stress of the solid phase is decomposed into a frictional term contributed from prolonged contact of solid particles, a viscous term due to the viscosity of interstitial fluid and a inertia term results from particle collisions. A constitutive model for simple-shearing granular-fluid flows is developed based on this framework and verified in the element tests of granular-fluid materials under rapid shear.
Constitutive Model for Granular-Fluid Flows Based on Stress Decomposition
Abstract In Bagnold’s description of rheological properties of a solid-fluid suspension, the shear and normal stresses demonstrate linear dependence on the shear rate in the ‘macro-viscous’ regime and quadratic dependence in the ‘grain-inertia’ regime. Based on this pioneering work, a framework for the modeling of solid-fluid flows is proposed in this paper. In the framework, the total stress of the solid phase is decomposed into a frictional term contributed from prolonged contact of solid particles, a viscous term due to the viscosity of interstitial fluid and a inertia term results from particle collisions. A constitutive model for simple-shearing granular-fluid flows is developed based on this framework and verified in the element tests of granular-fluid materials under rapid shear.
Constitutive Model for Granular-Fluid Flows Based on Stress Decomposition
Guo, Xiaogang (author) / Wu, Wei (author) / Zhan, Liangtong (author) / Chen, Ping (author)
2018-01-01
4 pages
Article/Chapter (Book)
Electronic Resource
English
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