Finite element investigation of the flow and stress patterns in conical hopper during discharge

Zheng, Qijun; Yu, Aibing

doi:10.1016/j.ces.2015.02.022

Cited by 62 publications

(34 citation statements)

References 59 publications

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“…Details of this model can be found in Abaqus documentation . Previous work has shown that the MCEP model can describe the behavior of flowing granular materials well . Moreover, as reported by Zheng and Yu, the Young's modulus, Poisson's ratio, and bulk density of the material have little influence on the material flow behavior and, hence, can be treated as constant values .…”

Section: Finite Element Methods Modelmentioning

confidence: 89%

“…We retain the term diffusion, however, to remain consistent with prior studies. Second, the macroscopic velocity field is found via an FEM simulation assuming a Mohr‐Coulomb material, similar to Zheng et al's work . The Mohr‐Coulomb properties are measured from simple, standard tests.…”

Section: Introductionmentioning

confidence: 81%

“…A three‐dimensional FEM model is used in the present work to provide predictions of the advective flow field in a cylindrical rotating drum. Prior works by Zheng and Yu have shown that FEM models can provide good predictions of the flow behavior of bulk granular materials . The following subsections describe the FEM model implementations used in the present work.…”

Section: Finite Element Methods Modelmentioning

confidence: 99%

“…Recently, significant progress has been made toward addressing some of these issues. Zheng and Yu used the finite element method (FEM) assuming Mohr‐Coulomb continuum material behavior to predict material velocity and stress fields in rotating drums and hoppers . Other researchers have attempted similar FEM continuum modeling efforts for describing powder flow, but with varied success .…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Modeling granular material blending in a rotating drum using a finite element method and advection‐diffusion equation multiscale model

Gonzalez

Wassgren

2018

AIChE Journal

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A multiscale model is presented for predicting the magnitude and rate of powder blending in a rotating drum blender. The model combines particle diffusion coefficient correlations from the literature with advective flow field information from blender finite element method simulations. The multiscale model predictions for overall mixing and local concentration variance closely match results from discrete element method (DEM) simulations for a rotating drum, but take only hours to compute as opposed to taking days of computation time for the DEM simulations. Parametric studies were performed using the multiscale model to investigate the influence of various parameters on mixing behavior. The multiscale model is expected to be more amenable to predicting mixing in complex geometries and scale more efficiently to industrial-scale blenders than DEM simulations or analytical solutions. V C 2018 American Institute of Chemical Engineers AIChE J, 00: 000-000, 2018

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Section: Finite Element Methods Modelmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 81%

Section: Finite Element Methods Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modeling granular material blending in a rotating drum using a finite element method and advection‐diffusion equation multiscale model

Gonzalez

Wassgren

2018

AIChE Journal

View full text Add to dashboard Cite

show abstract

“…Three-dimensional, coupled Eulerian-Lagrangian, FEM models [42,43] are used here to predict the advective flow field in a rotating drum and conical hoppers. Previous work [36][37][38]42,43,[45][46][47] has shown that FEM models can accurately predict granular material behavior advective flow fields [36][37][38]42,43]. The following sub-sections describe the model geometries, boundary conditions, and initial conditions for three different systems.…”

Section: Finite Element Methods Modelmentioning

confidence: 99%

Modeling granular material segregation using a combined finite element method and advection–diffusion–segregation equation model

2019

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A two-dimensional, transient, multi-scale modeling approach is presented for predicting the magnitude and rate of percolation segregation for binary mixtures of granular material in a rotating drum and conical hopper. The model utilizes finite element method simulations to determine the bulk-level granular velocity field, which is then combined with particle-level diffusion and segregation correlations using the advection-diffusion-segregation equation. The utility of this modelling approach is demonstrated by predicting segregation patterns in a rotating drum and during the discharge of conical hoppers with different geometries. The model exhibits good quantitative accuracy in predicting DEM and experimental segregation data reported in the literature for cohesionless granular materials. Moreover, since the numerical approach does not directly model individual particles, it is expected to scale well to systems of industrial scale.

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Extended HPM–DEM coupled simulation of drainage of square particles in a 2D hopper flow

et al. 2016

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An extended hard particle method-discrete element method coupled model (EHPM-DEM) is proposed to simulate the drainage of square particle in 2D hoppers. The EHPM extends the hard sphere model to adapt for non-spherical shapes. A vertex-based extension of DEM is developed to solve collisions of square particles. A new coupled method is proposed, using the EHPM to simulate binary collisions and DEM to simulate multiple contacts. The collision between two triangles and the drainage of square particles in hoppers were simulated and compared to theoretical analysis and experiments, respectively, for validation. Moreover, the advantages of EHPM over DEM and the EHPM-DEM coupled solution over the pure soft DEM solution in computational efficiency have been demonstrated. In addition, the effects of restitution coefficient, friction coefficient, and the filled height on the discharge rates are analyzed, and a uniform discharge feature is discovered, which is especially useful for scaling studies.

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Finite element investigation of the flow and stress patterns in conical hopper during discharge

Cited by 62 publications

References 59 publications

Modeling granular material blending in a rotating drum using a finite element method and advection‐diffusion equation multiscale model

Modeling granular material blending in a rotating drum using a finite element method and advection‐diffusion equation multiscale model

Modeling granular material segregation using a combined finite element method and advection–diffusion–segregation equation model

Extended HPM–DEM coupled simulation of drainage of square particles in a 2D hopper flow

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