Comparative analysis of empirical descriptions of eccentric flow in silo model by the linear and nonlinear regressions

Sielamowicz, Irena; Czech, Artur; Kowalewski, T. A.

doi:10.1016/j.powtec.2014.10.007

Cited by 12 publications

(4 citation statements)

References 32 publications

(56 reference statements)

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“…The mass flow rate of grains from slot and circular orifices is well described using the Beverloo scaling [2,3], while the velocity field during silo discharge has been described by kinematictype models [4][5][6][7][8][9], stochastic diffusion models [10,11], discrete modelling [12][13][14], and more recently, by utilising a pressure dependent viscosity in a Navier-Stokes solver [15,16]. Experimental studies on silo flow have been conducted using 2D imaging techniques such as particle image velocimetry (PIV) or Lagrangian particle tracking [4,[17][18][19]. These studies have shown that the velocity field near the orifice of a silo is Gaussian-like (which motivated the use of diffusion-like equations to describe some granular silo flows) and mainly radial, but further from the orifice the flow is more plug-like with neighbouring particles flowing at very similar velocities.…”

Section: Introductionmentioning

confidence: 99%

Testing the μ(I) granular rheology against experimental silo data

et al. 2017

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Industrial storage of granular material using silos is common, however, improved understanding of silo flow is needed. Various continuum models attempt to describe the velocity of dense granular flow in silos. Kinematic, and recently, stochastic models, based upon the diffusion of some quantity, perform well when there is a single orifice, and when the yield criterion is satisfied. However, if system stresses are insufficient to satisfy the yield criterion, or if there is a second orifice, these models fail to capture the entire flow behaviour. Advances in granular rheology have allowed a pressure dependent friction law to be defined which can capture the behaviour of granular silo flow including un-yielded zones, flow-rate independence of fill height, the Beverloo flow-rate, and various other phenomena. We performed silo discharge experiments in a flat bottomed planar silo with a single and two adjacent orifices, for two grain types. The velocity was measured using Particle Image Velocimetry. Results were compared to a mathematical model based on the μ(I) rheology which was shown to qualitatively capture the observed phenomena including plug-like zones where the yield criterion is not satisfied. These preliminary results strongly encourage future investigations into the effect of friction parameters and numerical boundary conditions.

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Section: Introductionmentioning

confidence: 99%

Testing the μ(I) granular rheology against experimental silo data

et al. 2017

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“…as indicated in the plot itself. Thus, for lateral orifices we found correlations of the forṁ (14) where b = 0.23 for Ottawa sand and b = 0.21 for granulated sugar. The linear formula on w allows us to find that…”

Section: Ottawa Sand and Sugar Flow Ratesmentioning

confidence: 63%

“…Concerned with the eccentric location of single orifices in flat-bottomed bins, and in bins with vertical walls, we can distinguish two possible configurations: one is when the exit holes were made eccentric in three dimensional flat bottomed silos [8,9], and for flat bottomed quasi two-dimensional bins [10][11][12][13][14][15][16]. In both cases, it has been found that the mass flow increases with respect to the central-hole cases.…”

Section: Introductionmentioning

confidence: 99%

On the validity of the Hagen and Beverloo formulas for grains discharge through thin sidewalls of bins

et al. 2019

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In this work we show through experiments, by using cohesionless granular materials, that a simple formula proposed to estimate the granular outflow from orifices in thick sidewalls is also valid for thin sidewalls. The use of such a formula entails the approximate validity of the classical Hagen and Beverloo formulas for granular samples composed of small and large grains, respectively. Also, an estimation of the involved error when the wall thickness is left aside also is given.

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“…Existing studies are mostly focused on the steady-state discharge process for its simplicity [19][20][21]. For instance, by integrating the velocity profile along the radial direction, a commonly used model was proposed by Cleaver and Nedderman [21] to investigate radial flows.…”

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

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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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Comparative analysis of empirical descriptions of eccentric flow in silo model by the linear and nonlinear regressions

Cited by 12 publications

References 32 publications

Testing the μ(I) granular rheology against experimental silo data

Testing the μ(I) granular rheology against experimental silo data

On the validity of the Hagen and Beverloo formulas for grains discharge through thin sidewalls of bins

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

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