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Experimental Study on Depositing Arch Jamming of Elliptical Disks in a Two-Dimensional Static Hopper

Published online by Cambridge University Press:  14 April 2016

Y.-J. Lin  and
C. Fang
Y.-J. Lin
Affiliation:
Department of Civil EngineeringNational Cheng Kung UniversityTainan, Taiwan
C. Fang*
Affiliation:
Department of Civil EngineeringNational Cheng Kung UniversityTainan, Taiwan
*
*Corresponding author (cfang@mail.ncku.edu.tw)
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Abstract

Depositing arch jamming of elliptical disks at the opening of a two-dimensional static hopper is studied experimentally. The hopper slope and opening width, and the aspect ratio of elliptical disks, are varied to determine their influence on the jamming probability. The jamming probability increases as the aspect ratio increases for gentle hopper slopes, while fluctuations of jamming probability appear for more steeper hopper slopes. Increasing hopper slope decreases the jamming probability in most cases. Most jamming arches result from the strong force chains along the shorter axes of elliptical disks. The disk number consisting of jamming arches decreases as the hopper slope increases. For smaller hopper openings, it decreases as the aspect ratio increases, whilst a nearly reverse tendency appears for elliptical disks with smaller aspect ratios. The study delivers a physical mechanism of jamming phenomena in depositing elliptical disks in a two- dimensional static hopper.

Keywords

Elliptical disksJamming probabilityStatic hopper
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 6 , December 2016 , pp. 709 - 716
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

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References

1. Aranson, I. S. and Tsimring, L. S., Granular Patterns, Oxford University Press, Oxford (2009).Google Scholar
2. Ausloos, M., Lambiotte, R., Trojan, K., Koza, Z. and Pekala, M., “Granular Matter: A Wonderful World of Clusters in Far-From-Equilibrium Systems,” Physica A, 357, pp. 337–349 (2005).CrossRefGoogle Scholar
3. Poschel, T. and Brilliantov, N. V., “Granular Gas Dynamics,” Lecture Notes in Physics (Book 624), Springer-Verlag, New York (2013).Google Scholar
4. Rao, K. K. and Nott, P. R., An Introduction to Granular Flow, Cambridge University Press, Cambridge (2008).CrossRefGoogle Scholar
5. Fang, C., “Rheological Characteristics of Solid-Fluid Transition in Dry Granular Dense Flows: A Thermodynamically Consistent Constitutive Model with a Pressure-Ratio Order Parameter,” International Journal for Numerical and Analytical Methods in Geomechanics, 34, pp. 881–905 (2010).CrossRefGoogle Scholar
6. Fang, C., “Gravity-Driven Dry Granular Slow Flows Down an Inclined Moving Plane: A Comparative Study Between Two Concepts of the Evolution of Porosity,” Rheologica Acta, 48, pp. 971–992 (2009).CrossRefGoogle Scholar
7. Hoang, T. H., Frottement Saccad_E Dans Les Mat_Eriaux Granularies Mod_Eles, Ph.D. Dissertation, L’institut National des Sciences Appliqu_ees de Lyon, France (2011).Google Scholar
8. Doanh, T., Hoang, M. T., Roux, J.-N. and Dequeker, C., “Stick-Slip Behavior of Model Granular Materials in Drained Tri-Axial Compression,” Granular Matter, 15, pp. 1–23 (2013).CrossRefGoogle Scholar
9. Garcimartín, A., Zuriguel, I., Pugnaloni, L. A. and Janda, A., “Shape of Jamming Arches in Two-Dimensional Deposits of Granular Materials,” Physical Review E, 82, p. 031306 (2010).CrossRefGoogle ScholarPubMed
10. Janda, A., Zuriguel, I., Garcimartín, A., Pugnaloni, L. A. and Maza, D., “Jamming and Critical Outlet Size in the Discharge of a Two-Dimensional Silo,” Europhysics Letters, 84, p. 44002 (2008).CrossRefGoogle Scholar
11. Janda, A., et al., “Flow-Rate Fluctuations in the Outpouring of Grains from a Two-Dimensional Silo,” Physical Review E, 79, p. 031302 (2009).CrossRefGoogle ScholarPubMed
12. Magalhães, C. F. M., Moreira, J. G. and Atman, A. P. F., “Catastrophic Regime in the Discharge of a Granular Pile,” Physical Review E, 82, p. 051303 (2010).CrossRefGoogle ScholarPubMed
13. To, K., Lai, P. Y. and Pak, H. K., “Jamming of Granular Flow in a Two-Dimensional Hopper,” Physical Review Letters, 86, pp. 71–74 (2001).CrossRefGoogle Scholar
14. To, K., “Jamming Transition in Two-Dimensional Hoppers and Silos,” Physical Review E, 71, p. 060301 (2005).CrossRefGoogle ScholarPubMed
15. Sheldon, H. G. and Durian, D. J., “Granular Discharge and Clogging for Tilted Hoppers,” Granular Matter, 12, pp. 579–585 (2010).CrossRefGoogle Scholar
16. To, K., Lai, P. Y. and Pak, H. K., “Flow and Jam of Granular Particles in a Two-Dimensional Hopper,” Physica A: Statistical Mechanics and Its Applications, 315, pp. 174–180 (2002).CrossRefGoogle Scholar
17. Jin, B. S., Tao, H. and Zhong, W. Q., “Flow Behaviors of Non-Spherical Granules in Rectangular Hopper,” Chinese Journal of Chemical Engineering, 18, pp. 931–939 (2010).CrossRefGoogle Scholar
18. Mack, S., Langston, P., Webb, C. and York, T., “Experimental Validation of Polyhedral Discrete Element Model,” Powder Technology, 214, pp. 431–442 (2011).CrossRefGoogle Scholar
19. Balevičius, R., Kačianauskas, R., Mróz, Z. and Sielamowicz, I., “Analysis and DEM Simulation of Granular Material Flow Patterns in Hopper Models of Different Shapes,” Advanced Powder Technology, 22, pp. 226–235 (2011).CrossRefGoogle Scholar
20. Tao, H., et al., “Discrete Element Method Modeling of Non-Spherical Granular Flow in Rectangular Hopper,” Chemical Engineering and Processing: Process Intensification, 49, pp. 151–158 (2010).CrossRefGoogle Scholar
21. Wang, J., Yu, H. S., Langston, P. and Fraige, F., “Particle Shape Effects in Discrete Element Modeling of Cohesive Angular Particles,” Granular Matter, 13, pp. 1–12 (2011).CrossRefGoogle Scholar
22. Fraige, F. Y., Langston, P. A., Matchett, A. J. and Dodds, J., “Vibration Induced Flow in Hoppers: DEM 2D Polygon Model,” Particuology, 6, pp. 455–466 (2008).CrossRefGoogle Scholar
23. Tao, H., Jin, B. S. and Zhong, W. Q., “Simulation of Ellipsoidal Particle Flow in Rectangular Hopper with Discrete Element Method,” 2011 International Conference on Electric Technology and Civil Engineering (ICETCE), pp. 678–681 (2011).CrossRefGoogle Scholar
24. Longjas, A., Monterola, C. and Saloma, C., “Force Analysis of Jamming with Disks of Different Sizes in a Two-Dimensional Hopper,” Journal of Statistical Mechanics: Theory and Experiment, 2009, p. P05006 (2009).CrossRefGoogle Scholar
25. Frank, G. A. and Dorso, C. O., “Room Evacuation in the Presence of an Obstacle,” Physica A: Statistical Mechanics and Its Applications, 390, pp. 2135–2145 (2011).CrossRefGoogle Scholar
26. Saraf, S. and Franklin, S. V., “Power Law Flow Statistics in Anisometric (Wedge) Hoppers,” Physical Review E, 83, p. 030301 (2011).CrossRefGoogle ScholarPubMed