Discharge Flow of Spherical Particles from a Cylindrical Bin: Experiment and DEM Simulations

Kobyłka, R.; Wiącek, Joanna; Parafiniuk, Piotr; Horabik, J.; Bańda, Maciej; Stasiak, Mateusz; Molenda, M.

doi:10.3390/pr9111860

Cited by 5 publications

(3 citation statements)

References 37 publications

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“…Figure 8 shows, for the same set of parameters as in Fig. 7, the variation of Q as a function of α for ξ ∈ [7,15,22,44,70] for both λ = 1 and λ = 5. Note that afterwards the data where η < η 0 (λ) have been excluded.…”

Section: System Size (ξ; η)mentioning

confidence: 99%

“…The parameter κ was introduced in order to take into account a reduced orifice diameter induced by finite-size effects. Although the fitting parameters are not well defined physically, several numerical and experimental studies, mainly based on circular or spherical grains [15], have proven that the Beverloo's law is robust for large orifice, but is failing for small orifices where clogging prevails [16].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear effect of grain elongation on the flow rate in silo discharge

Bignon,

Renouf,

Sicard

et al. 2023

Phys. Rev. E

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By means of two-dimensional numerical simulations based on contact dynamics, we present a systematic analysis of the joint effects of grain shape (i.e., grain elongation) and system size on silo discharge for increasing orifice sizes D. Grains are rounded-cap rectangles whose aspect ratio are varied from 1 (disks) to 7. In order to clearly isolate the effect of grain shape, the mass of the grains is keeping constant as well as the condition of the discharge by reintroducing the exiting grains at the top of the silo. In order to quantify the possible size effects, the thickness W of the silos is varied from 7 to 70 grains diameter, while keeping the silos aspect ratio always equal to 2. We find that, as long as size effects are negligible, the flow rate Q increases as a Beverloo-like function with D, also for the most elongated grains. In contrast, the effects of grain elongation on the flow rate depend on orifice size. For small normalized orifice sizes, the flow rate is nearly independent with grain elongation. For intermediate normalized orifice sizes the flow rate first increases with grain elongation up to a maximum value that depends on the normalized size of the orifice and saturates as the grains become more elongated. For larger normalized orifice size, the flow rate is an increasing function of grains' aspect ratio. Velocity profiles and packing fraction profiles close to the orifice turn out to be self-similar for all grain shapes and for the whole range of orifice and system sizes studied. Following the methodology introduced by Janda et al. [Phys. Rev. Lett. 108, 248001 (2012)], we explain the nonlinear variation of Q with grain elongation, and for all orifice sizes, from compensation mechanisms between the velocity and packing fraction measured at the center of the orifice. Finally, an equation to predict the evolution of Q as a function of the aspect ratio of the grains is deduced.

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Section: System Size (ξ; η)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear effect of grain elongation on the flow rate in silo discharge

Bignon,

Renouf,

Sicard

et al. 2023

Phys. Rev. E

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show abstract

“…Discrete element simulation (DEM) is widely used in granular matter investigation [1,[30][31][32][33], which outperforms experimental methods in rapidness, costeffectiveness and informativeness [18,[34][35][36]. Li et al [18] analyzed the flow pattern of particles using the whole-field residence time distribution.…”

Section: Introductionmentioning

confidence: 99%

Study on Residence Time Distribution of Particles in a Quasi-Two-Dimensional Batch Discharge Silo Using the Multi-Simulation Averaging Method

Zhu,

Xu,

Zheng

et al. 2023

Processes

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As the primary carrier for storing and transporting particles, the silo is widely used in the production process. The RTD is a promising method for studying the silo discharge process and has not been studied enough. This paper presents a study on the residence time distribution (RTD) and flow pattern of particles in a two-dimensional flat-bottom batch discharge silo under gravity using experiments and the discrete element method (DEM). Meanwhile, a multi-simulation averaging method is proposed to eliminate local fluctuations in the residence time. The results are as follows. The mean flow rate is 16.85 g·s−1 in simulations, which is only 2.7% larger than the experimental value. In the central area of the silo, the residence time contour lines take on elliptical shapes and the trajectories of particles are straight lines. The particles are distributed along the elliptical residence time contour lines all the time during the discharge process until they flow out of the silo. The particles near the side wall of the silo swiftly flow with a constant acceleration to the central line of the silo along the upper horizontal surface, which has become avalanche slopes, and then flow down the outlet together with the particles in the radial flow region. In this study, an elliptical distribution law during the silo discharge process was funded for the first time. An improved radial flow model was proposed with a higher accuracy and clearer physical meaning, which will be helpful in silo design and scaling up in industrial applications.

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