Modeling stratified segregation in periodically driven granular heap flow
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作者:
Xiao, Hongyi
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Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
Univ Penn, Dept Phys & Astron, Philadelphia, PA 19104 USA
Friedrich Alexander Univ Erlangen Nurnberg, Inst Multiscale Simulat, D-91058 Erlangen, GermanyNorthwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
Xiao, Hongyi
[1
,2
,3
]
Deng, Zhekai
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Northwestern Univ, Dept Chem & Biol Engn, Evanston, IL 60208 USANorthwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
Deng, Zhekai
[4
]
Ottino, Julio M.
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机构:
Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
Northwestern Univ, Dept Chem & Biol Engn, Evanston, IL 60208 USA
Northwestern Univ, Inst Complex Syst NICO, Evanston, IL 60208 USANorthwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
Ottino, Julio M.
[1
,4
,5
]
Umbanhowar, Paul B.
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Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USANorthwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
Umbanhowar, Paul B.
[1
]
Lueptow, Richard M.
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Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
Northwestern Univ, Dept Chem & Biol Engn, Evanston, IL 60208 USA
Northwestern Univ, Inst Complex Syst NICO, Evanston, IL 60208 USANorthwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
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
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.
机构:
Northwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USANorthwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA
Schlick, Conor P.
Fan, Yi
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Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
Dow Chem Co USA, Midland, MI 48667 USANorthwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA
Fan, Yi
Isner, Austin B.
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Northwestern Univ, Dept Chem & Biol Engn, Evanston, IL 60208 USANorthwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA
Isner, Austin B.
Umbanhowar, Paul B.
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机构:
Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USANorthwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA
Umbanhowar, Paul B.
Ottino, Julio M.
论文数: 0引用数: 0
h-index: 0
机构:
Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
Northwestern Univ, Dept Chem & Biol Engn, Evanston, IL 60208 USA
Northwestern Univ, Northwestern Inst Complex Syst NICO, Evanston, IL 60208 USANorthwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA
Ottino, Julio M.
Lueptow, Richard M.
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h-index: 0
机构:
Northwestern Univ, Dept Mech Engn, Evanston, IL 60208 USA
Northwestern Univ, Northwestern Inst Complex Syst NICO, Evanston, IL 60208 USANorthwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA