Transient response in granular quasi-two-dimensional bounded heap flow

被引:4
作者
Xiao, Hongyi [1 ]
Ottino, Julio M. [1 ,2 ,3 ]
Lueptow, Richard M. [1 ,3 ]
Umbanhowar, Paul B. [1 ]
机构
[1] Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
[2] Northwestern Univ, Dept Chem & Biol Engn, Evanston, IL 60208 USA
[3] Northwestern Univ, Northwestern Inst Complex Syst NICO, Evanston, IL 60208 USA
基金
美国国家科学基金会;
关键词
FREE-SURFACE FLOWS; SEGREGATION; AVALANCHES; DYNAMICS; MODEL;
D O I
10.1103/PhysRevE.96.040902
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 study the transition between steady flows of noncohesive granular materials in quasi-two-dimensional bounded heaps by suddenly changing the feed rate. In both experiments and simulations, the primary feature of the transition is a wedge of flowing particles that propagates downstream over the rising free surface with a wedge front velocity inversely proportional to the square root of time. An additional longer duration transient process continues after the wedge front reaches the downstream wall. The entire transition is well modeled as a moving boundary problem with a diffusionlike equation derived from local mass balance and a local relation between the flux and the surface slope.
引用
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页数:5
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