Abstract
We present an experimental investigation on the flow and clogging of bi-disperse mixtures of coarse and fine grains of different densities passing through small orifices. We vary the density ratio (coarse/fine) from 1.87 down to 0.79 by using amaranth seeds, glass and ceramic beads of similar size as the fine species in combination with 2.0 mm glass beads as the coarse grains. We analyzed the effect of the density ratio on the effective flow rate of the coarse species, the segregation during flow and the clogging for a range of orifice diameters. As in previous studies, the flow of the coarse grains is facilitated by the fine species, which prevents clogging. We show that the effective flow rate of the coarse species is virtually independent of the density ratio. These results suggest that in practical applications with the goal of clogging reduction, the density of the fine species used to ease the flow is not a relevant parameter and can be selected based on practical or economic constraints.
Graphic abstract
![](http://media.springernature.com/lw685/springer-static/image/art%3A10.1007%2Fs10035-024-01444-0/MediaObjects/10035_2024_1444_Figa_HTML.png)
Schematic diagram of the flow of large grains through a small orifice when they are diluted in a mixture with fine grains
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-024-01444-0/MediaObjects/10035_2024_1444_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-024-01444-0/MediaObjects/10035_2024_1444_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-024-01444-0/MediaObjects/10035_2024_1444_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-024-01444-0/MediaObjects/10035_2024_1444_Fig4_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-024-01444-0/MediaObjects/10035_2024_1444_Fig5_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-024-01444-0/MediaObjects/10035_2024_1444_Fig6_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-024-01444-0/MediaObjects/10035_2024_1444_Fig7_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-024-01444-0/MediaObjects/10035_2024_1444_Fig8_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-024-01444-0/MediaObjects/10035_2024_1444_Fig9_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs10035-024-01444-0/MediaObjects/10035_2024_1444_Fig10_HTML.png)
Similar content being viewed by others
Data availibility
Data sets generated during the current study are available from the corresponding author on reasonable request.
References
Janda, A., Zuriguel, I., Maza, D.: Flow rate of particles through apertures obtained from self-similar density and velocity profiles. Phys. Rev. Lett. 108(24), 248001 (2012). https://doi.org/10.1103/PhysRevLett.108.248001
Jaeger, H.M., Nagel, S.R., Behringer, R.P.: The physics of granular materials. Phys. Today 49(4), 32–39 (1996). https://doi.org/10.1063/1.881494
Campbell, C.S.: Granular material flows-an overview. Powder Technol. 162(3), 208–229 (2006). https://doi.org/10.1016/j.powtec.2005.12.008
Mankoc, C., Janda, A., Arévalo, R., Pastor, J., Zuriguel, I., Garcimartín, A., Maza, D.: The flow rate of granular materials through an orifice. Granul. Matter 9, 407–414 (2007). https://doi.org/10.1007/s10035-007-0062-2
Arteaga, P., Tüüzün, U.: Flow of binary mixtures of equal-density granules in hoppers—size segregation, flowing density and discharge rates. Chem. Eng. Sci. 45(1), 205–223 (1990). https://doi.org/10.1016/0009-2509(90)87093-8
Benyamine, M., Djermane, M., Dalloz-Dubrujeaud, B., Aussillous, P.: Discharge flow of a bidisperse granular media from a silo. Phys. Rev. E 90, 032201 (2014). https://doi.org/10.1103/PhysRevE.90.032201
Madrid, M., Asencio, K., Maza, D.: Silo discharge of binary granular mixtures. Phys. Rev. E 96, 022904 (2017). https://doi.org/10.1103/PhysRevE.96.022904
Zhang, Z., Liu, Y., Zheng, B., Li, R., Sun, P.: Discharge characteristics of binary particles in a rectangular hopper with inclined bottom. Comput. Part. Mech. 8, 315 (2021). https://doi.org/10.1007/s40571-020-00332-7
Zhou, Y., Ruyer, P., Aussillous, P.: Discharge flow of a bidisperse granular media from a silo: discrete particle simulations. Phys. Rev. E 92, 062204 (2015). https://doi.org/10.1103/PhysRevE.92.062204
Zuriguel, I., Parisi, D.R., Hidalgo, R.C., Lozano, C., Janda, A., Gago, P.A., Peralta, J.P., Ferrer, L.M., Pugnaloni, L.A., Clément, E.: Clogging transition of many-particle systems flowing through bottlenecks. Sci. Rep. 4, 7324 (2014). https://doi.org/10.1038/srep07324
Hunt, M.L., Weathers, R.C., Lee, A.T., Brennen, C.E., Wassgren, C.R.: Effects of horizontal vibration on hopper flows of granular materials. Phys. Fluids 11(1), 68–75 (1999). https://doi.org/10.1063/1.869903
Janda, A., Maza, D., Garcimartín, A., Kolb, E., Lanuza, J., Clément, E.: Unjamming a granular hopper by vibration. EPL 87(2), 24002 (2009). https://doi.org/10.1209/0295-5075/87/24002
Mankoc, C., Garcimartín, A., Zuriguel, I., Maza, D., Pugnaloni, L.A.: Role of vibrations in the jamming and unjamming of grains discharging from a silo. Phys. Rev. E 80, 011309 (2009). https://doi.org/10.1103/PhysRevE.80.011309
Lozano, C., Lumay, G., Zuriguel, I., Hidalgo, R., Garcimartín, A.: Breaking arches with vibrations: the role of defects. Phys. Rev. Lett. 109(6), 068001 (2012). https://doi.org/10.1103/PhysRevLett.109.068001
Dave, R.N., Wu, C.-Y., Chaudhuri, B., Watano, S.: Magnetically mediated flow enhancement for controlled powder discharge of cohesive powders. Powder Technol. 112(1–2), 111–125 (2000). https://doi.org/10.1016/S0032-5910(99)00312-5
Lumay, G., Schockmel, J., Henández-Enríquez, D., Dorbolo, S., Vandewalle, N., Pacheco-Vazquez, F.: Flow of magnetic repelling grains in a two-dimensional silo. Pap. Phys. 7, 070013 (2015). https://doi.org/10.4279/pip.070013
Carlevaro, C.M., Kuperman, M.N., Bouzat, S., Pugnaloni, L.A., Madrid, M.A.: On the use of magnetic particles to enhance the flow of vibrated grains through narrow apertures. Granul. Matter 24, 51 (2022). https://doi.org/10.1007/s10035-022-01209-7
To, K., Tai, H.-T.: Flow and clog in a silo with oscillating exit. Phys. Rev. E 96, 032906 (2017). https://doi.org/10.1103/PhysRevE.96.032906
Zuriguel, I., Janda, A., Garcimartín, A., Lozano, C., Arévalo, R., Maza, D.: Silo clogging reduction by the presence of an obstacle. Phys. Rev. Lett. 107(27), 278001 (2011). https://doi.org/10.1103/PhysRevLett.107.278001
Endo, K., Reddy, K.A., Katsuragi, H.: Obstacle-shape effect in a two-dimensional granular silo flow field. Phys. Rev. Fluids 2(9), 094302 (2017). https://doi.org/10.1103/PhysRevFluids.2.094302
Madrid, M.A., Carlevaro, C.M., Pugnaloni, L.A., Kuperman, M., Bouzat, S.: Enhancement of the flow of vibrated grains through narrow apertures by addition of small particles. Phys. Rev. E 103, L030901 (2021). https://doi.org/10.1103/PhysRevE.103.L030901
Gharat, S.H., Pugnaloni, L.A.: Augmented flow and reduced clogging of particles passing through small apertures by addition of fine grains. Powder Technol. 427, 118695 (2023). https://doi.org/10.1016/j.powtec.2023.118695
Reddy, A. V. K., Kumar, Sonu, Reddy, K. A.: Granular particle-shape heterogeneous mixtures discharging through a silo. J. Fluid Mech. 912, A22 (2021). https://doi.org/10.1017/jfm.2020.1071
Zablotsky, A., et al.: (unpublished)
Goldberg, E., Carlevaro, C.M., Pugnaloni, L.A.: Flow rate of polygonal grains through a bottleneck: interplay between shape and size. Pap. Phys. 7, 070016 (2015). https://doi.org/10.4279/PIP.070016
Goldberg, E., Carlevaro, C.M., Pugnaloni, L.A.: Clogging in two-dimensions: effect of particle shape. J. Stat. Mech. Theory Exp. (2018). https://doi.org/10.1088/1742-5468/aae84b
Sepúlveda, N., Melo, F., Vivanco, F.: Effects of grain shape on the response of a two-dimensional granular material under constant shear rate. Phys. Rev. E 90, 052202 (2014). https://doi.org/10.1103/PhysRevE.90.052202
Nedderman, R.M.: Statics and Kinematics of Granular Materials. Cambridge University Press, Cambridge (2005)
Beverloo, W.A., Leniger, H.A., Van de Velde, J.J.: The flow of granular solids through orifices. Chem. Eng. Sci. 15(3), 260–269 (1961). https://doi.org/10.1016/0009-2509(61)85030-6
Ghadiri, M., Geldart, D., Pilgrim, J.A.: Mixing of binary systems of solids differing in particle size or density. Powder Technol. 57(3), 207–221 (1989)
Li, C., Li, X., Jiao, T., Hu, F., Sun, M., Huang, D.: Influence of grain bidispersity on dense granular flow in a two-dimensional hopper. Powder Technol. 401, 117271 (2022). https://doi.org/10.1016/j.powtec.2022.117271
Carlevaro, C.M., Kozlowski, R., Pugnaloni, L.A.: Flow rate in 2D silo discharge of binary granular mixtures: The role of ordering in monosized systems. Front. Soft Matter 4, 1340744 (2024). https://doi.org/10.3389/frsfm.2024.1340744
Humby, S., Tüzün, U., Yu, A.B.: Prediction of hopper discharge rates of binary granular mixtures. Chem. Eng. Sci. 53, 483–494 (1998). https://doi.org/10.1016/S0009-2509(97)00326-6
Zuriguel, I.: Clogging of granular materials in bottlenecks. Pap. Phys. 6, 060014 (2014). https://doi.org/10.4279/pip.060014
Zuriguel, I., Garcimartín, A., Maza, D., Pugnaloni, L. A., Pastor, J.: Jamming during the discharge of granular matter from a silo. Phys. Rev. E 71(5), 051303 (2005). https://doi.org/10.1103/PhysRevE.71.051303
Acknowledgements
This work was funded by CONICET (Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina) under grant PIP-717.
Author information
Authors and Affiliations
Contributions
Conceptualization: SG and LP; Formal Analysis: SG and LP; Funding acquisition: LP; Investigation: SG and JM; Methodology: SG and JM; Writing-original draft: SG; Writing-review and editing: SG and LP.
Corresponding author
Ethics declarations
Conflict of interest
The authors have no conflict of interest to declare that are relevant to the content of this article.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Gharat, S.H., Montero, J. & Pugnaloni, L.A. Clogging reduction by addition of small particles of various material densities. Granular Matter 26, 76 (2024). https://doi.org/10.1007/s10035-024-01444-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10035-024-01444-0