1144 XXXI International Mineral Processing Congress 2024 Proceedings/Washington, DC/Sep 29–Oct 3
REFERENCES
Ahn, Hojin, Erkan Yilmaz, Mustafa Yilmaz, and Abdulcelil
Bugutekin. 2007. ‘Discharge of Granular Materials
from Hoppers with Various Exit Geometries.’
Proceedings of the ASME International Mechanical
Engineering Congress and Exposition.
Beverloo, W.A., H.A. Leniger, and J. van de Velde. 1961.
‘The Flow of Granular Solids through Orifices.’
Chemical Engineering Science 15 (3–4): 260–69. doi:
10.1016/0009-2509(61)85030-6.
Börzsönyi, Tamas, Ellák Somfai, Balázs Szabó, Sandra
Wegner, Ahmed Ashour, and Ralf Stannarius. 2017.
‘Elongated Grains in a Hopper.’ In EPJ Web of
Conferences. Powders &Grains.
Chen, Feiyang, Yidong Xia, Jordan Klinger, and Qiushi
Chen. 2023. ‘Hopper Discharge Flow Dynamics
of Milled Pine and Prediction of Process Upsets
Using the Discrete Element Method.’ Powder
Technology 415 (February):118165. doi: 10.1016
/j.powtec.2022.118165.
Cundall, P. A., and O. D. L. Strack. 1979. ‘A Discrete
Numerical Model for Granular Assemblies.’
Géotechnique 29 (1): 47–65. doi: 10.1680/geot.1979
.29.1.47.
Cundall, P.A. 1988. ‘Formulation of a Three-Dimensional
Distinct Element Model—Part I. A Scheme to Detect
and Represent Contacts in a System Composed of
Many Polyhedral Blocks.’ International Journal of Rock
Mechanics and Mining Sciences &Geomechanics Abstracts
25 (3): 107–16. doi: 10.1016/0148-9062(88)92293-0.
Favier, J. F., M. H. Abbaspour-Fard, and M. Kremmer.
2001. ‘Modeling Nonspherical Particles Using
Multisphere Discrete Elements.’ Journal of Engineering
Mechanics 127 (10): 971–77. doi: 10.1061/(ASCE)
0733-9399(2001)127:10(971).
Favier, J.F., M.H. Abbaspour‐Fard, M. Kremmer, and
A.O. Raji. 1999. ‘Shape Representation of Axi‐sym-
metrical, Non‐spherical Particles in Discrete Element
Simulation Using Multi‐element Model Particles.’
Engineering Computations 16 (4): 467–80. doi:
10.1108/02644409910271894.
Fraige, Feras Y., Paul A. Langston, and Laila A. Al-Khatib.
2011. ‘Polyhedral Particles Hopper Flowrate Predictions
Using Discrete Element Method.’ Chemical Product and
Process Modeling 6 (1). doi: 10.2202/1934-2659.1573.
Fraige, Feras Y., Paul A. Langston, and George Z. Chen.
2008. ‘Distinct Element Modelling of Cubic Particle
Packing and Flow.’ Powder Technology 186 (3): 224–40.
doi: 10.1016/j.powtec.2007.12.009.
Gilbert, E.G., D.W. Johnson, and S.S. Keerthi. 1988. ‘A
Fast Procedure for Computing the Distance between
Complex Objects in Three-Dimensional Space.’ IEEE
Journal on Robotics and Automation 4 (2): 193–203.
doi: 10.1109/56.2083.
Govender, Nicolin, Daniel N. Wilke, Patrick Pizette, and
Nor-Edine Abriak. 2018. ‘A Study of Shape Non-
Uniformity and Poly-Dispersity in Hopper Discharge
of Spherical and Polyhedral Particle Systems Using the
Blaze-DEM GPU Code.’ Applied Mathematics and
Computation 319 (February):318–36. doi: 10.1016
/j.amc.2017.03.037.
Hafez, Ahmed, Qi Liu, Thomas Finkbeiner, Raed A.
Alouhali, Timothy E. Moellendick, and J. Carlos
Santamarina. 2021. ‘The Effect of Particle Shape on
Discharge and Clogging.’ Scientific Reports 11 (1):
3309. doi: 10.1038/s41598-021-82744-w.
Hilton, J. E., and P. W. Cleary. 2011. ‘Granular Flow
during Hopper Discharge.’ Physical Review E 84 (1):
011307. doi: 10.1103/PhysRevE.84.011307.
Höhner, D., S. Wirtz, and V. Scherer. 2012. ‘A Numerical
Study on the Influence of Particle Shape on Hopper
Discharge within the Polyhedral and Multi-Sphere
Discrete Element Method.’ Powder Technology 226
(August):16–28. doi: 10.1016/j.powtec.2012.03.041.
Huang, Xingjian, Qijun Zheng, Aibing Yu, and Wenyi Yan.
2021. ‘Optimised Curved Hoppers with Maximum
Mass Discharge Rate—an Experimental Study.’ Powder
Technology 377 (January):350–60. doi: 10.1016
/j.powtec.2020.08.084.
Jenike, A. W. 1964. ‘Steady Gravity Flow of Frictional-
Cohesive Solids in Converging Channels.’
Journal of Applied Mechanics 31 (1): 5–11. doi:
10.1115/1.3629571.
Jian, Bangxing, and Xi Gao. 2023. ‘Investigation of
Spherical and Non-Spherical Binary Particles Flow
Characteristics in a Discharge Hopper.’ Advanced
Powder Technology 34 (5): 104011. doi: 10.1016
/j.apt.2023.104011.
Khalid, Muhammad Hammad, and Yixian Zhou. 2021.
‘Study of Clogging Phenomenon for a Conical Hopper:
The Influence of Particle Bed Height and Hopper
Angle.’ Science and Technology of Nuclear Installations
2021 (April):1–10. doi: 10.1155/2021/9993614.
Kobyłka, Rafał, Joanna Wiącek, Piotr Parafiniuk, Józef
Horabik, Maciej Bańda, Mateusz Stasiak, and Marek
Molenda. 2021. ‘Discharge Flow of Spherical Particles
from a Cylindrical Bin: Experiment and DEM
Simulations.’ Processes 9 (11): 1860. doi: 10.3390
/pr9111860.
REFERENCES
Ahn, Hojin, Erkan Yilmaz, Mustafa Yilmaz, and Abdulcelil
Bugutekin. 2007. ‘Discharge of Granular Materials
from Hoppers with Various Exit Geometries.’
Proceedings of the ASME International Mechanical
Engineering Congress and Exposition.
Beverloo, W.A., H.A. Leniger, and J. van de Velde. 1961.
‘The Flow of Granular Solids through Orifices.’
Chemical Engineering Science 15 (3–4): 260–69. doi:
10.1016/0009-2509(61)85030-6.
Börzsönyi, Tamas, Ellák Somfai, Balázs Szabó, Sandra
Wegner, Ahmed Ashour, and Ralf Stannarius. 2017.
‘Elongated Grains in a Hopper.’ In EPJ Web of
Conferences. Powders &Grains.
Chen, Feiyang, Yidong Xia, Jordan Klinger, and Qiushi
Chen. 2023. ‘Hopper Discharge Flow Dynamics
of Milled Pine and Prediction of Process Upsets
Using the Discrete Element Method.’ Powder
Technology 415 (February):118165. doi: 10.1016
/j.powtec.2022.118165.
Cundall, P. A., and O. D. L. Strack. 1979. ‘A Discrete
Numerical Model for Granular Assemblies.’
Géotechnique 29 (1): 47–65. doi: 10.1680/geot.1979
.29.1.47.
Cundall, P.A. 1988. ‘Formulation of a Three-Dimensional
Distinct Element Model—Part I. A Scheme to Detect
and Represent Contacts in a System Composed of
Many Polyhedral Blocks.’ International Journal of Rock
Mechanics and Mining Sciences &Geomechanics Abstracts
25 (3): 107–16. doi: 10.1016/0148-9062(88)92293-0.
Favier, J. F., M. H. Abbaspour-Fard, and M. Kremmer.
2001. ‘Modeling Nonspherical Particles Using
Multisphere Discrete Elements.’ Journal of Engineering
Mechanics 127 (10): 971–77. doi: 10.1061/(ASCE)
0733-9399(2001)127:10(971).
Favier, J.F., M.H. Abbaspour‐Fard, M. Kremmer, and
A.O. Raji. 1999. ‘Shape Representation of Axi‐sym-
metrical, Non‐spherical Particles in Discrete Element
Simulation Using Multi‐element Model Particles.’
Engineering Computations 16 (4): 467–80. doi:
10.1108/02644409910271894.
Fraige, Feras Y., Paul A. Langston, and Laila A. Al-Khatib.
2011. ‘Polyhedral Particles Hopper Flowrate Predictions
Using Discrete Element Method.’ Chemical Product and
Process Modeling 6 (1). doi: 10.2202/1934-2659.1573.
Fraige, Feras Y., Paul A. Langston, and George Z. Chen.
2008. ‘Distinct Element Modelling of Cubic Particle
Packing and Flow.’ Powder Technology 186 (3): 224–40.
doi: 10.1016/j.powtec.2007.12.009.
Gilbert, E.G., D.W. Johnson, and S.S. Keerthi. 1988. ‘A
Fast Procedure for Computing the Distance between
Complex Objects in Three-Dimensional Space.’ IEEE
Journal on Robotics and Automation 4 (2): 193–203.
doi: 10.1109/56.2083.
Govender, Nicolin, Daniel N. Wilke, Patrick Pizette, and
Nor-Edine Abriak. 2018. ‘A Study of Shape Non-
Uniformity and Poly-Dispersity in Hopper Discharge
of Spherical and Polyhedral Particle Systems Using the
Blaze-DEM GPU Code.’ Applied Mathematics and
Computation 319 (February):318–36. doi: 10.1016
/j.amc.2017.03.037.
Hafez, Ahmed, Qi Liu, Thomas Finkbeiner, Raed A.
Alouhali, Timothy E. Moellendick, and J. Carlos
Santamarina. 2021. ‘The Effect of Particle Shape on
Discharge and Clogging.’ Scientific Reports 11 (1):
3309. doi: 10.1038/s41598-021-82744-w.
Hilton, J. E., and P. W. Cleary. 2011. ‘Granular Flow
during Hopper Discharge.’ Physical Review E 84 (1):
011307. doi: 10.1103/PhysRevE.84.011307.
Höhner, D., S. Wirtz, and V. Scherer. 2012. ‘A Numerical
Study on the Influence of Particle Shape on Hopper
Discharge within the Polyhedral and Multi-Sphere
Discrete Element Method.’ Powder Technology 226
(August):16–28. doi: 10.1016/j.powtec.2012.03.041.
Huang, Xingjian, Qijun Zheng, Aibing Yu, and Wenyi Yan.
2021. ‘Optimised Curved Hoppers with Maximum
Mass Discharge Rate—an Experimental Study.’ Powder
Technology 377 (January):350–60. doi: 10.1016
/j.powtec.2020.08.084.
Jenike, A. W. 1964. ‘Steady Gravity Flow of Frictional-
Cohesive Solids in Converging Channels.’
Journal of Applied Mechanics 31 (1): 5–11. doi:
10.1115/1.3629571.
Jian, Bangxing, and Xi Gao. 2023. ‘Investigation of
Spherical and Non-Spherical Binary Particles Flow
Characteristics in a Discharge Hopper.’ Advanced
Powder Technology 34 (5): 104011. doi: 10.1016
/j.apt.2023.104011.
Khalid, Muhammad Hammad, and Yixian Zhou. 2021.
‘Study of Clogging Phenomenon for a Conical Hopper:
The Influence of Particle Bed Height and Hopper
Angle.’ Science and Technology of Nuclear Installations
2021 (April):1–10. doi: 10.1155/2021/9993614.
Kobyłka, Rafał, Joanna Wiącek, Piotr Parafiniuk, Józef
Horabik, Maciej Bańda, Mateusz Stasiak, and Marek
Molenda. 2021. ‘Discharge Flow of Spherical Particles
from a Cylindrical Bin: Experiment and DEM
Simulations.’ Processes 9 (11): 1860. doi: 10.3390
/pr9111860.