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General Conclusions and Suggestions

6.2 Suggestions for further works

Further works could focus on improving the usage of “Sandy” test bench. This experimental apparatus proved to be a robust test bench and could be further explored for validations of calibrated DEM models as well as to mimic the die filling process. It is suggested to rebuilt the die region using translucent material so PIV techniques could also be applied.

For the tests using the centrifuge it is suggested the usage of intermediate particle size (in the order of 100µm) with cohesive properties. This can give new insights of cohesion behaviour and would also be possible to simulate using CFD-DEM methodologies. This opens the possibility to explore the effect of surrounding air in different g-forces.

Tests with the centrifuge using vacuum in the lower cylinder region would also bring new insight on how cohesive powders behaves without the influence of surrounding air. One could expect in that case a mass flow much more similar to the Beverloo predictions.

Also the possibility of breaking force chains using centrifugal forces could be further explored for the die filling process. After filling with powder, the die could be centrifuged to improve the material density by breaking force chains formed in cohesive powders. This is specially interesting in geometric complex dies, in which the compression applied to the powder might not always be transmitted to all die regions.

In this sense the increase in gravitational force is a body force and should equally affect all particles in the system.

[1] LIGGGHTS® user manual, June 2015.

[2] ASTM Standard D6128 2006. Standard test method for shear testing of bulk solids using the jenike shear cell, 2006.

[3] Jun Ai, Jian-Fei Chen, J. Michael Rotter, and Jin Y. Ooi. Assessment of rolling resistance models in discrete element simulations. Powder Technology, 206:269–282, 2011.

[4] Andreas Aigner, Simon Schneiderbauer, Christoph Kloss, and Stefan Pirker. Determining the coeffi-cient of friction by shear tester simulation. InIII International Conference on Particle-based Methods – Fundamentals and Applications PARTICLES 2013, pages 335–342, 2013.

[5] Francesco Paolo Di Maio Alberto Di Renzo. Comparison of contact-force models for the simulation of collisions in dem-based granular flow codes. Chemical Engineering Science, 59:525–541, 2004.

[6] Anshu Anand, Jennifer S. Curtis, Carl R. Wassgren, Bruno C. Hancock, and William R. Ketterhagen.

Predicting discharge dynamics from a rectangular hopper using the discrete element method (dem).

Chemical Engineering Science, 63:5821–5830, 2008.

[7] M. Bachmann, Arkin H., and Janke W. Multicanonical study of coarse-grained off-lattice models for folding heteropolymers. Phys Rev E Stat Nonlin Soft Matter Phys., 71(3 Pt 1):031906, 2005.

[8] Gabriel K.P. Barrios, Rodrigo M. de Carvalho, Arno Kwade, and Luís Marcelo Tavares. Contact parameter estimation for dem simulation of iron ore pellet handling.Powder Technology, 248:84–93, 2013.

[9] W.A. Beverloo, H.A. Leniger, and J. van de Velde. The flow of granular solids through orifices.

Chemical Engineering Science, 15:260–269, 1961.

[10] C. Bierwisch, T. Kraft, and M. Moseler. Three-dimensional discrete element models for the granular statics and dynamics of powders in cavity filling. Journal of the Mechanics and Physics of Solids, 57:10–31, 2009.

[11] Claas Sven Bierwisch. Numerical Simulations of Granular Flow and Filling. PhD thesis, Fakultät für Mathematik und Physik der Albert-Ludwigs-Universität Freiburg im Breisgau, 2009.

[12] Antje Brucks, Tim Arndt, Julio M. Ottino, and Richard M. Lueptow. Behavior of flowing granular materials under variable g. PHYSICAL REVIEW E, 75:032301, 2007.

[13] A.J. Carleton. The effect of fluid-drag forces on the discharge of free-flowing solids from hoppers.

Powder Technology, 6(2):91–96, 1972.

[14] Mookyung Cheon, Iksoo Chang, and Carol K. Hall. Extending the prime model for protein aggre-gation to all twenty amino acids. Proteins, 78(14):2950–2960, 2010.

[16] P. A. Cundall and D. L. Strack. A discrete numerical model for granular assemblies. Geotechnique, 1:47–65, 1979.

[17] Sayed M. Derakhshani, Dingena L. Schott, and Gabriel Lodewijks. Micro–macro properties of quartz sand: Experimental investigation and dem simulation. Powder Technology, 269:127–138, 2015.

[18] S. Dorbolo, L. Maquet, M. Brandenbourger, Ludewig F., G. Lumay, H. Caps, N. Vandewalle, Rondia S., Mélard M., J. van Loon, A Dowson, and S. Vincent-Bonnieu. Influence of the gravity on the discharge of a silo. Granular Matter, 15:263–273, 2013.

[19] F.A.L. Dullien. Porous Media. Fluid Transport and Pore Structure. Academic Press Inc., 1992.

[20] F. Fleissner, T. Gaugele, and P. Eberhard. Applications of the discrete element method in mechanical engineering. Multibody System Dynamics, 18(1):81–94, 2007.

[21] Andrew Grima and Peter Wypych. Discrete element simulation of a conveyor impact-plate transfer:

calibration, validation and scale-up. POWDER HANDLING, 212:64–72, 2010.

[22] A.P. Grima and P.W. Wypych. Investigation into calibration of discrete element model parame-ters for scale-up and validation of particle–structure interactions under impact conditions. Powder Technology, 212:198–209, 2011.

[23] C. Grohs, A. Plankensteiner, D. S. Nasato, and C. Kloss. Numerical simulation of refractory metals and cemented carbides in the regime of powder filling and powder transfer. InProceedings of Plansee®

Seminar 2013, 2013.

[24] Y. Guo, K. D. Kafui, C.-Y. Wu, and C. Thornton. A coupled dem/cfd analysis of the effect of air on powder flow during die filling. AIChE Journal, 55:49–62, 2009.

[25] Y Guo, C.-Y. Wu, K.D. Kafui, and C. Thornton. 3d dem/cfd analysis of size-induced segregation during die filling. Powder Technology, 206:177–188, 2011.

[26] Yu Guo. A COUPLED DEM/CFD ANALYSIS OF DIE FILLING PROCESS. PhD thesis, Depart-ment of Chemical Engineering The University of Birmingham, 2010.

[27] H.C. Hamaker. The london-van der waals attraction between spherical particles. Physica IV, 10:

1058–1072, 1937.

[28] Y. Hashimoto, M. Murakami, and Y. Seki. ’whizz’ solutions agitate for a better filled die. Metal Powder Report, 57(12):26–29, 2002.

[29] H. Hertz. Über dis berührung fester elasticher körper (on the contact of elastic solids). Journal für die Reine und Angewandte Mathematik, 92:156–171, 1882.

[30] James E. Hilton and Paul W. Cleary. Comparison of resolved and coarse grain dem model for gas flow through particle beds. InProceedings of the 9th International Conference on CFD in the Minerals and Process Industries, 2012.

[31] Haye Hinrichsen and Dietrich E. Wolf. The Physics of Granular Media. WILEY-VCH, 2004.

[32] Erik Hjortsberg and Bjarne Bergquist. Filling induced density variations in pm compacts. Powder Metallurgy, 45(2):146–153, 2002.

[33] Richard G. Holdich. Fundamentals of Particle Technology. Midland Information Technology and Publishing, 2002.

[35] Kazuyoshi Iwashita and Masanobu Oda. Rolling resistance at contacts in simulation of shear band development by dem. Journal of Engineering Mechanics, 124(3):285–292, 1998.

[36] H.A. Janssen. Versuche über getreidedruck in silozellen. Zeitschr. d. Vereines deutscher Ingenieure, 39:1045–1049, 1895.

[37] F. Jerier, B. Hathong, V. Richefeu, B. Chareyre, D. Imbault, F.V. Donze, and P. Doremus. Study of cold powder compaction by using the discrete element method. Powder Technology, 208:537–541, 2011.

[38] M.J. Jiang, H.-S. Yu, and D. Harris. A novel discrete model for granular material incorporating rolling resistance. Geotechnics, 32:340–357, 2005.

[39] K.L. Johnson, K. Kendall, and A.D. Roberts. Surface energy and the contact of elastic solids.

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 324:

301–313, 1971.

[40] Christoph Kloss. LIGGGHTS - A New Open Source DEM Code Applied to the Corex Process. PhD thesis, Christian Doppler Laboratory on Particulate Flow Modelling - Johannes Kepler University Linz, 2011.

[41] Christoph Kloss, Christoph Goniva, Alice Hager, Stefan Amberger, and Stefan Pirker. Models, algo-rithms and validation for opensource dem and cfd-dem.Progress in Computational Fluid Dynamics, An Int. J., 12, No.2/3:140–152, 2012.

[42] A. Kézdi. Erddrucktheorien. Springer, Berlin, 1962.

[43] A. W. LEES and S. F. EDWARDS. The computer study of transport processes under extreme conditions. Journal of Physics Part C Solid State Physics, 5:1921–1929, 1972.

[44] M.S. Li, D.K. Klimov, J.E. Straub, and Thirumalai D. Probing the mechanisms of fibril formation using lattice models. J Chem Phys, 129(17):175101, 2008.

[45] Q. Li, V. Rudolph, and W. Peukert. London-van der waals adhesiveness of rough particles. Powder Technology, 161:248–255, 2006.

[46] S. Luding. Cohesive, frictional powders: contact models for tension. Granular Matter, 10:235–246, 2008.

[47] S. Mandato, B. Cuq, and T. Ruiz. Experimental study of vertical stress profile of a confined granular bed under static and dynamic conditions. Eur. Phys. J. E., 35:56, 2012.

[48] Sandra Mandato, Thierry Ruiz, and Bernard Cuq. What is janssen’s length doing in an agglomerator?

Powder Technology, 238:56–63, 2013.

[49] C.L. Martin, D. Bouvard, and S. Shima. Study of particle rearrangement during powder compaction by the discrete element method. Journal of the Mechanics and Physics of Solids, 51:667–693, 2003.

[50] Mariano Martín Martín. Introduction to Software for Chemical engineers. CRC Press, 2015.

[51] J.C. Mathews and Wei Wu. Model tests of silo discharge in a geotechnical centrifuge. Powder Technology, 2015.

[52] Takafumi Mikami, Hidehiro Kamiya, and Masayuki Horio. Numerical simulation of cohesive powder behavior in a fluidized bed. Chemical Engineering Science, 53:1927–1940, 1998.

[54] Namiko Mitarai and Franco Nori. Wet granular materials. Advances in Physics, 55:1:1–45, 2006.

[55] D. S. Nasato, C. Goniva, B. König, S. Pirker, and Kloss C. Die filling process simulation using discrete element method (dem). In Proceedings of III International Conference on Particle-based Methods – Fundamentals and Applications PARTICLES 2013, pages 343–351, 2013.

[56] D. S. Nasato, C. Goniva, S. Pirker, and Kloss C. Coarse graining for large-scale dem simulations of particle flow – an investigation on contact and cohesion models. Procedia Engineering, 102:1484–

1490, 2015.

[57] Eric J. R. Parteli, Jochen Schmidt, Christina Blumel, Karl-Ernst Wirth, Wolfgang Peukert, and Thorsten Poeschel. Attractive particle interaction forces and packing density of fine glass powders.

Scientific Reports, 4:6227, 2014.

[58] P. Pathmanathan, J. Cooper, A. Fletcher, G. Mirams, P. Murray, J. Osborne, J. Pitt-Francis, A. Walter, and S. J. Chapman. A computational study of discrete mechanical tissue models.Physical Biology, 6:6001–6015, 2009.

[59] M. Paulick, M. Morgeneyer, and A. Kwade. Review on the influence of elastic particle properties on dem simulation results. Powder Technology, 283:66–76, 2015.

[60] Thorsten Pöschel and Thomas Schwager.Computational Granular Dynamics. Springer-Verlag Berlin Heidelberg, 2005.

[61] Qing-Hua Qin and Bohua Sun. Advances in Engineering Mechanics. Nova Science Publishers, Inc., 2010.

[62] S. Radl, C. Radeke, J. G. Khinast, and S. Sundaresan. Parcel-based approach for the simulation of gas-particle flows. In Proceedings of the 8th International Conference on CFD in Oil & Gas, Metallurgical and Process Industries, pages 124/1–124/10, 2011.

[63] K. Kesava Rao and Prabhu R. Nott.An Introduction to Granular Flow. Cambridge University Press, 2008.

[64] E. R. Rice and J. Tengzelius. Die filling characteristics of metal powders. Powder Metallurgy, 29(3):

183–194, 1986.

[65] Vincent Richefeu, Moulay Said El Youssoufi, and Farhang Radjai. Shear strength properties of wet granular materials. PHYSICAL REVIEW E, 73:051304–1—051304–11, 2006.

[66] Luis Ruiz, Wenjie Xia, Zhaoxu Meng, and Sinan Keten. A coarse-grained model for the mechanical behavior of multi-layer graphene. Carbon, 82:103–115, 2015.

[67] Chris H. Rycroft. Voro++: A three-dimensional voronoi cell library in c++. Chaos, 19:041111, 2009.

[68] Kalliadasis S., Krumscheid S., and Pavliotis G.A. A new framework for extracting coarse-grained models from time series with multiscale structure. Journal of Computational Physics, 296:314–328, 2015.

[69] Mikio Sakai and Seiichi Koshizuka. Large-scale discrete element modeling in pneumatic conveying.

Chemical Engineering Science, 64:533–539, 2009.

[70] Mikio Sakai, Minami Abe, Yusuke Shigeto, Shin Mizutani, Hiroyuki Takahashi, Axelle Viré, James R.

Percival, Jiansheng Xiang, and Christopher C. Pain. Verification and validation of a corase grain model of the dem in a bubbling fluidized bed. Chemical Engineering Science, 244:33–43, 2014.

[72] L.C.R Schneider, I.C. Sinka, and A.C.F. Cocks. Characterisation of the flow behaviour of pharma-ceutical powders using a model die–shoe filling system. Powder Technology, 173:59–71, 2007.

[73] Dietmar Schulze. Powders and Bulk Solids. Springer, 2008.

[74] B.L. Severson, L.M. Keer, J.M. Ottino, and R.Q. Snurr. Mechanical damping using adhesive micro or nano powders. Powder Technology, 191:143–148, 2009.

[75] F. Soulié, M.S. El Youssoufi, F. Cherblanc, and C. Saix. Capillary cohesion and mechanical strength of polydisperse granular materials. The European Physical Journal E, 21:349–357, 2006.

[76] L. Staron, P.-Y. Lagrée, and S. Popinet. The granular silo as a continuum plastic flow: The hour-glass vs the clepsydra. PHYSICS OF FLUIDS, 24:103301, 2012.

[77] Alexander Stukowski. Visualization and analysis of atomistic simulation data with ovito–the open visualization tool. Modelling and Simulation in Materials Science and Engineering, 18:015012, 2010 - http://ovito.org/.

[78] Joanna Sykut, Marek Molenda, and Józef Horabik. Discrete element method (dem) as a tool for investigating properties of granular materials. Polish Journal of Food and Nutrition Sciences, 57, No.2(A):169–173, 2007.

[79] S. C. Thakur, J. P. Morrissey, J. Sun, J. F. Chen, and J. Y. Ooi. Micromechanical analysis of cohesive granular materials using the discrete element method with an adhesive elasto-plastic contact model.

Granular Matter, 16:383–400, 2014.

[80] C. Thornton and Z. Ning. A theoretical model for the stick/bounce behaviour of adhesive, elastic-plastic spheres. Powder Technology, 99:154–162, 1998.

[81] Colin Thornton. Granular Dynamics, Contact Mechanics and Particle System Simulations: A Dem Study. Springer-Verlag, 2015.

[82] L. Verlet. Computer "experiments" on classical fluids: I. thermodynamical properties of lennard-jones molecules. PHYSICAL REVIEW, 159:98–103, 1967.

[83] Chuan-Yu Wu and Alan C.F. Cocks. Numerical and experimental investigations of the flow of powder into a confined space. Mechanics of Materials, 38:304–324, 2006.

[84] Chuan-Yu Wu, Luiza Dihoru, and Alan C.F. Cocks. The flow of powder into simple and stepped dies. Powder Technology, 134:24–39, 2003.

[85] T.F. Zahrah, R. Rowland, and G. Gasbarre Jr. Fluidized fill shoe for uniform die filling. Key Engineering Materials, 189-191:288–295, 2001.

[86] H. P. Zhu, Z.Y. Zhou, R.Y. Yang, and A.B. Yu. Discrete particle simulation of particulate systems:

Theoretical developments. Chemical Engineering Science, 62:3378 – 3396, 2007.