Modeling stratified segregation in periodically driven granular heap flow

被引:3
作者
Xiao, Hongyi [1 ,2 ,3 ]
Deng, Zhekai [4 ]
Ottino, Julio M. [1 ,4 ,5 ]
Umbanhowar, Paul B. [1 ]
Lueptow, Richard M. [1 ,4 ,5 ]
机构
[1] Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
[2] Univ Penn, Dept Phys & Astron, Philadelphia, PA 19104 USA
[3] Friedrich Alexander Univ Erlangen Nurnberg, Inst Multiscale Simulat, D-91058 Erlangen, Germany
[4] Northwestern Univ, Dept Chem & Biol Engn, Evanston, IL 60208 USA
[5] Northwestern Univ, Inst Complex Syst NICO, Evanston, IL 60208 USA
基金
美国国家科学基金会;
关键词
Segregation; Heap flow; Continuum modeling; Hopper discharge; Unsteady flow; PARTICLE-SIZE SEGREGATION; DENSITY SEGREGATION; MIXTURE THEORY; DIFFUSION; ADVECTION; SYSTEMS;
D O I
10.1016/j.ces.2023.118870
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
We present a continuum approach to model segregation of size-bidisperse granular materials in unsteady bounded heap flow as a prototype for modeling segregation in other time varying flows. In experiments, a periodically modulated feed rate produces stratified segregation like that which occurs due to intermittent avalanching, except with greater layer-uniformity and higher average feed rates. Using an advection-diffusion-segregation equation and characterizing transient changes in deposition and erosion after a feed rate change, we model stratification for varying feed rates and periods. Feed rate modulation in heap flows can create well-segregated layers, which effectively mix the deposited material normal to the free surface at lengths greater than the combined layer-thickness. This mitigates the strong streamwise segregation that would otherwise occur at larger particle-size ratios and equivalent steady feed rates and can significantly reduce concentration variation during hopper discharge. Coupling segregation, deposition and erosion is challenging but has many potential applications.
引用
收藏
页数:12
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