Numerical Simulation of Viscous Flow Through Spherical Particle Assemblage with the  Modified Cell Model

Abstract

Abstract: The cell model developed since 1950s is a useful tool for exploring the behavior of
particle assemblages,but it demands further careful development of the outer cell boundary
conditions so that interaction in a particleswarm is better represented. In this paper, the
cell model and its development were reviewed, and the modificationsof outer cell boundary
conditions were suggested. At the cell outer boundary, the restriction of uniform liquid
flowwas removed in our simulation conducted in the reference frame fixed with the particle.
Zero shear stress conditionwas used to evaluate the outer boundary value of the stream
function. Boundary vorticity was allowed to evolve tovalues compatible to existing stream
function at the free shear outer boundary. The fore-aft symmetry of vorticitydistribution
at the outer boundary is thought critical to ensure the continuity of inflow and outflow
between touchingneighbor cells, and is also tested in the modified cell model. Numerical
simulation in terms of stream function andvorticity based on the modified cell models was
carried out to shed light on the interaction between liquid andparticles. Lower predicted
drag coefficient by the modified cell models was interpreted with the feature of
flowstructure. The drag coefficient from the simulation was also compared with correlations
of drag coefficient reportedin literature. It is found that the modified cell model with
the uniformity of external flow relaxed and the fore-aftsymmetry of boundary vorticity
enforced was the most satisfactory on the overall performance of prediction.

Key words: cell model, numerical simulation, particle assemblage, boundary condition, drag coefficient, correlation

摘要： The cell model developed since 1950s is a useful tool for exploring the behavior of
particle assemblages,but it demands further careful development of the outer cell boundary
conditions so that interaction in a particleswarm is better represented. In this paper, the
cell model and its development were reviewed, and the modificationsof outer cell boundary
conditions were suggested. At the cell outer boundary, the restriction of uniform liquid
flowwas removed in our simulation conducted in the reference frame fixed with the particle.
Zero shear stress conditionwas used to evaluate the outer boundary value of the stream
function. Boundary vorticity was allowed to evolve tovalues compatible to existing stream
function at the free shear outer boundary. The fore-aft symmetry of vorticitydistribution
at the outer boundary is thought critical to ensure the continuity of inflow and outflow
between touchingneighbor cells, and is also tested in the modified cell model. Numerical
simulation in terms of stream function andvorticity based on the modified cell models was
carried out to shed light on the interaction between liquid andparticles. Lower predicted
drag coefficient by the modified cell models was interpreted with the feature of
flowstructure. The drag coefficient from the simulation was also compared with correlations
of drag coefficient reportedin literature. It is found that the modified cell model with
the uniformity of external flow relaxed and the fore-aftsymmetry of boundary vorticity
enforced was the most satisfactory on the overall performance of prediction.

关键词: cell model;numerical simulation;particle assemblage;boundary condition;drag coefficient;correlation

MAO Zaisha. Numerical Simulation of Viscous Flow Through Spherical Particle Assemblage with the
Modified Cell Model[J]. .

毛在砂. 用改进的单元胞模型数值模拟液体穿过球形颗粒群的流动[J]. CIESC Journal.

References

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Numerical Simulation of Viscous Flow Through Spherical Particle Assemblage with the
Modified Cell Model

用改进的单元胞模型数值模拟液体穿过球形颗粒群的流动

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