Approximate analytical solutions in a model for highly concentrated granular-fluid flows

被引:18
作者
Berzi, Diego [1 ]
Jenkins, James T. [2 ]
机构
[1] Politecn Milan, Dept Environm Hydraul Infrastruct & Surveying Eng, I-20133 Milan, Italy
[2] Cornell Univ, Dept Theoret & Appl Mech, Ithaca, NY 14853 USA
来源
PHYSICAL REVIEW E | 2008年 / 78卷 / 01期
关键词
D O I
10.1103/PhysRevE.78.011304
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We extend a simple two-phase model for a steady fully developed flow of particles and water over an erodible inclined bed to situations in which the water and particles do not have the same depth. The rheology of the particles is based on recent numerical simulations and physical experiments, the rheology of the fluid is based on an eddy viscosity, and the interaction between the particles and the fluid is through drag and buoyancy. Simple approximations permit analytical expressions for the flow velocities and the depth of flow to be obtained that satisfactorily reproduce those measured in experiments.
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页数:10
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