Smoothed particle hydrodynamics modelling of particle-size segregation in granular flows

被引:2
作者
Zhu, Chengwei [1 ,2 ]
Peng, Chong [3 ]
Wu, Wei [4 ]
机构
[1] Zhejiang Univ, Res Ctr Coastal & Urban Geotech Engn, Hangzhou 310058, Peoples R China
[2] Engn Res Ctr Urban Underground Space Dev Zhejiang, Hangzhou 310058, Peoples R China
[3] ESS Engn Software Steyr GmbH, Berggasse 35, A-4400 Steyr, Austria
[4] Univ Bodenkultur, Inst Geotech, Feistmantelstr 4, A-1180 Vienna, Austria
关键词
dry granular material; coupled diffusion and flow; computational methods; BOUNDARY-CONDITIONS; SELF-DIFFUSION; SPH; SIMULATIONS; MIXTURES; BEHAVIOR; NEUMANN;
D O I
10.1017/jfm.2023.995
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this work, smoothed particle hydrodynamics (SPH) is employed to investigate the segregation evolution in granular flows. We first provide the Lagrangian description-based governing equations, including the linear momentum conservation and the segregation-diffusion equation. Then the hybrid continuum surface reaction scheme is introduced to formulate the concentration-related inhomogeneous Neumann boundary condition on the free and wall surfaces. We follow a two-stage strategy to advance boundary particle searching and normal direction identification. Moreover, C-1 consistency is considered based on the Taylor series to obtain accurate segregation flux gradient along the boundary. Our SPH model is validated with a shear box experiment. The model is then applied to investigate the segregation mechanism in bidisperse-sized granular flows in a rotating drum.
引用
收藏
页数:43
相关论文
共 83 条
[1]   A generalized wall boundary condition for smoothed particle hydrodynamics [J].
Adami, S. ;
Hu, X. Y. ;
Adams, N. A. .
JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (21) :7057-7075
[2]   Drag, diffusion and segregation in inertial granular flows [J].
Bancroft, Robbie S. J. ;
Johnson, Chris G. .
JOURNAL OF FLUID MECHANICS, 2021, 924
[3]   Coupling rheology and segregation in granular flows [J].
Barker, T. ;
Rauter, M. ;
Maguire, E. S. F. ;
Johnson, C. G. ;
Gray, J. M. N. T. .
JOURNAL OF FLUID MECHANICS, 2021, 909
[4]   Well-posed and ill-posed behaviour of the μ(I)-rheology for granular flow [J].
Barker, T. ;
Schaeffer, D. G. ;
Bohorquez, P. ;
Gray, J. M. N. T. .
JOURNAL OF FLUID MECHANICS, 2015, 779 :794-818
[5]   Granulometric investigations of snow avalanches [J].
Bartelt, Perry ;
McArdell, Brian W. .
JOURNAL OF GLACIOLOGY, 2009, 55 (193) :829-833
[6]   Experimental study and DEM analysis of granular segregation in a rotating drum [J].
Brandao, Rodolfo J. ;
Lima, Rondinelli M. ;
Santos, Raphael L. ;
Duarte, Claudio R. ;
Barrozo, Marcos A. S. .
POWDER TECHNOLOGY, 2020, 364 :1-12
[7]   SELF-DIFFUSION COEFFICIENTS IN DEFORMING POWDERS [J].
BRIDGWATER, J .
POWDER TECHNOLOGY, 1980, 25 (01) :129-131
[8]   Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elastic-plastic soil constitutive model [J].
Bui, Ha H. ;
Fukagawa, Ryoichi ;
Sako, Kazunari ;
Ohno, Shintaro .
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2008, 32 (12) :1537-1570
[9]   Theoretical considerations on the free-surface role in the smoothed-particle-hydrodynamics model [J].
Colagrossi, Andrea ;
Antuono, Matteo ;
Le Touze, David .
PHYSICAL REVIEW E, 2009, 79 (05)
[10]  
De Borst R., 1991, Engineering Computations, V8, P317, DOI 10.1108/eb023842