Piping flow of cohesive granular materials in silo modelled by finite element method

Zheng, Qijun; Xia, Bo; Pan, Renhu; Yu, Aibing

doi:10.1007/s10035-016-0688-z

Cited by 17 publications

(9 citation statements)

References 34 publications

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“…Previously, Rumpf directly incorporated the particle contact into the correlation of tensile strength ( P t ) of cohesive granular materials, that is,

P_{t} = \frac{italicCN ε_{s} F_{coh}^{\max}}{π d^{2}}

, where CN is the particle contact number (or coordination number) for the considered particle assembly. Subsequent studies also validated the applicability of Rumpf correlation for cohesive particles . Here, the Rumpf correlation is used to replace the tensile part in Equation , given as:

P_{s} = ({, \begin{matrix} ε_{s} ρ_{p} θ ([], 1 + 2 ε_{s} ((), 1 + e) g_{0}) - K_{0} italicCN ε_{s} F_{coh}^{\max} / π d^{2}, ε_{s} < ε_{s}^{a} \\ ε_{s} ρ_{p} θ ([], 1 + 2 ε_{s} ((), 1 + e) g_{0}) - K_{0} italicCN ε_{s} F_{coh}^{\max} / π d^{2} + α_{coh, 2} \frac{F_{coh}^{\max}}{d^{2}} \frac{{((), ε_{s} - ε_{s}^{a})}^{2}}{(ε_{s}^{c} - ε_{s})}, ε_{s} \geq ε_{s}^{a} \end{matrix})

where K 0 is a fitting parameter and equals 0.72 in this study, and other parameters are kept the same as that in Equation .…”

Section: Resultsmentioning

confidence: 99%

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Linking discrete particle simulation to continuum properties of the gas fluidization of cohesive particles

Hou

2020

AIChE Journal

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Discrete particle simulation can explicitly consider interparticle forces and obtain microscopic properties of the fluidized cohesive particles, but it is computationally expensive. It is thus pivotal to link the microscopic discrete properties to the macroscopic continuum description of the system for large scale applications. This work studies the fluidization of cohesive particles through the coupled computational fluid dynamics and discrete element method (CFD‐DEM). First, discrete CFD‐DEM results show the increased particle cohesion leads to the severe particle agglomeration which affects the fluidization quality significantly. Then, continuum properties are attained by a weighted time‐volume averaging method, showing that tensile pressure becomes significant as particle cohesion increases. By incorporating Rumpf correlation into the solid pressure equation, the tensile pressure could be predicted consistently with the averaged CFD‐DEM results for different particle cohesion. Finally, those overall steady averaged properties of the bed are obtained for understanding the general macroscopic properties of the system.

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“…Previously, Rumpf directly incorporated the particle contact into the correlation of tensile strength ( P t ) of cohesive granular materials, that is,

P_{t} = \frac{italicCN ε_{s} F_{coh}^{\max}}{π d^{2}}

P_{s} = ({, \begin{matrix} ε_{s} ρ_{p} θ ([], 1 + 2 ε_{s} ((), 1 + e) g_{0}) - K_{0} italicCN ε_{s} F_{coh}^{\max} / π d^{2}, ε_{s} < ε_{s}^{a} \\ ε_{s} ρ_{p} θ ([], 1 + 2 ε_{s} ((), 1 + e) g_{0}) - K_{0} italicCN ε_{s} F_{coh}^{\max} / π d^{2} + α_{coh, 2} \frac{F_{coh}^{\max}}{d^{2}} \frac{{((), ε_{s} - ε_{s}^{a})}^{2}}{(ε_{s}^{c} - ε_{s})}, ε_{s} \geq ε_{s}^{a} \end{matrix})

where K 0 is a fitting parameter and equals 0.72 in this study, and other parameters are kept the same as that in Equation .…”

Section: Resultsmentioning

confidence: 99%

“…Subsequent studies also validated the applicability of Rumpf correlation for cohesive particles. [78][79][80][81] Here, the Rumpf correlation is used to replace the tensile part in Equation (8), given as:…”

Section: Locally Steady Averagingmentioning

confidence: 99%

Linking discrete particle simulation to continuum properties of the gas fluidization of cohesive particles

Hou

2020

AIChE Journal

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“…Note that the constitutive relationships and material properties are exactly the same in the two types of modeling, so the difference can only come from the different theoretical treatises described in the section “Theoretical treatise.” Although as shown later this does not influence the discharge rate much, the flow channel itself is an important issue in relation to many arching and piping problems of silo. The elastoplastic approach is recently applied to study the piping problems of highly frictional or cohesive granular materials, yet it is not yet clear whether the hydrodynamic approach can model the narrow flow channel in piping flow. On the other hand, no such significant difference in the flow channel is observed when the constitutive law is changed between μ s and μ(I) .…”

Section: Resultsmentioning

confidence: 99%

“…For dilute granular materials, bulk modulus changes dramatically with packing fraction, thus nonlinear EOS must be used. But for dense granular materials focused here, linear EOS or elastic model is in principle acceptable . It should be noted that, although EOS is used in the current hydrodynamic models, the bulk density is insensitive to the pressure change because of the high bulk modulus, at levels of MPa, of dense granular materials.…”

Section: Theoretical Treatisementioning

confidence: 97%

“…Elastoplastic approaches are often used to evaluate the stress fields of granular materials in statics conditions . Recently, they are shown to work in flowing states of granular materials as well when some advanced finite element method (FEM) techniques such as arbitrary Lagrangian–Eulerian (ALE) or Eulerian methods are employed to prevent computational meshes from severe distortions. The applicability of elastoplastic approach is not limited to simple granular flows; it has also been used to simulate complex stirred flow of particles in silos, blade mixers, and rotating drums .…”

Section: Introductionmentioning

confidence: 99%

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Quantitative comparison of hydrodynamic and elastoplastic approaches for modeling granular flow in silo

Zheng

2019

AIChE Journal

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Hydrodynamic and elastoplastic theories are two commonly used continuum approaches for modeling granular materials. Here, the elastoplastic approach is extended to incorporate the rheology of dense granular flow, which therefore allows a quantitative comparison with the hydrodynamic approach under the same setting of rheological laws, material parameters, and numerical method. The flow patterns yielded by two approaches are apparently similar and the discharge rates are close. Yet the elastoplastic approach creates a narrow dome‐like flow zone in contrast to the wide cone‐like flow zone generated by the hydrodynamic approach. The shear localization is also less prominent in elastoplastic modeling owing to the existence of elastic deformation. The stresses predicted by two approaches match well in flow zones but show significant differences in stagnant zones. The proposed elastoplastic approach incorporating flow rheology can be used generally in both solid and fluid states of granular materials. © 2019 American Institute of Chemical Engineers AIChE J, 65: e16533, 2019

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Numerical simulation of free flowing particles mixing in V-blender

2019

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Piping flow of cohesive granular materials in silo modelled by finite element method

Cited by 17 publications

References 34 publications

Linking discrete particle simulation to continuum properties of the gas fluidization of cohesive particles

Linking discrete particle simulation to continuum properties of the gas fluidization of cohesive particles

Quantitative comparison of hydrodynamic and elastoplastic approaches for modeling granular flow in silo

Numerical simulation of free flowing particles mixing in V-blender

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