Development of a granular normal contact force model based on a non-Newtonian liquid filled dashpot

Powder Technology

Volumn 237, Issue , 2013, Pages 202-212

  Alizadeh, Ebrahim ^a   Bertrand, François ^a   Chaouki, Jamal ^a  

^a ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

Coefficient of restitution; Collision time; Discrete element method; Non Newtonian fluid; Normal contact force model

Indexed keywords

ATTRACTION FORCE; COEFFICIENT OF RESTITUTION; COLLISION TIME; DASHPOTS; DISSIPATIVE FORCES; ELASTIC FORCE; EXPERIMENTAL DATUM; IMPACT VELOCITIES; MODEL PARAMETERS; MODEL PREDICTION; NON-LINEAR MODEL; NON-NEWTONIAN FLUIDS; NORMAL CONTACT FORCE; NORMAL IMPACT; PARTICLE VELOCITIES; TWO PARTICLES;

FINITE DIFFERENCE METHOD; FORECASTING;

NON NEWTONIAN LIQUIDS;

ARTICLE; COLLISION TIME; CONTROLLED STUDY; DENSITY; HARDNESS; INTERMETHOD COMPARISON; LIQUID; MATHEMATICAL MODEL; NON NEWTONIAN FLUID; NORMAL CONTACT FORCE MODEL; PARTICLE COLLISION; PARTICLE SIZE; PHYSICAL PARAMETERS; PHYSICAL PHENOMENA; POISSON DISTRIBUTION; PREDICTION; VELOCITY; YOUNG MODULUS;

EID: 84874521768     PISSN: 00325910     EISSN: 1873328X     Source Type: Journal    
DOI: 10.1016/j.powtec.2013.01.027     Document Type: Article

References (54)

1. Di Renzo A., Di Maio F.P. Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes. Chemical Engineering Science 2004, 59:525-541.
2. Doucet J., Bertrand F., Chaouki J. An extended radioactive particle tracking method for systems with irregular moving boundaries. Powder Technology 2008, 181:195-204.
3. Nakagawa M., Altobelli S., Caprihan A., Fukushima E., Jeong E.-K. Non-invasive measurements of granular flows by magnetic resonance imaging. Experiments in Fluids 1993, 16:54-60.
4. Ding Y., Forster R., Seville J., Parker D. Segregation of granular flow in the transverse plane of a rolling mode rotating drum. International Journal of Multiphase Flow 2002, 28:635-663.
5. Yamane K., Nakagawa M., Altobelli S., Tanaka T., Tsuji Y. Steady particulate flows in a horizontal rotating cylinder. Physics of Fluids 1998, 10:1419-1427.
6. Khakhar D., McCarthy J., Ottino J. Radial segregation of granular mixtures in rotating cylinders. Physics of Fluids 1997, 9:3600-3614.
7. Khakhar D., Orpe A.V., Ottino J. Continuum model of mixing and size segregation in a rotating cylinder: concentration-flow coupling and streak formation. Powder Technology 2001, 116:232-245.
8. Aranson I., Tsimring L. Dynamics of axial separation in long rotating drums. Physical Review Letters 1999, 82:4643-4646.
9. Cundall P., Strack O. Discrete numerical model for granular assemblies. Geotechnique 1979, 29:47-65.
10. Dury C.M., Ristow G.H. Radial segregation in a two-dimensional rotating drum. Journal de Physique I 1997, 7:737-745.
11. Taberlet N., Losert W., Richard P. Understanding the dynamics of segregation bands of simulated granular material in a rotating drum. Europhysics Letters 2004, 68:522-528.
12. Rapaport D. Radial and axial segregation of granular matter in a rotating cylinder: a simulation study. Physical Review E 2007, 75. (31301-1-11).
13. Zhu H., Zhou Z., Yang R., Yu A. Discrete particle simulation of particulate systems: a review of major applications and findings. Chemical Engineering Science 2008, 63:5728-5770.
14. Li L., Thornton C., Wu C. Impact behaviour of elastoplastic spheres with a rigid wall. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 2000, 214:1107-1114.
15. Wu C.-Y., Li L.-Y., Thornton C. Energy dissipation during normal impact of elastic and elastic-plastic spheres. International Journal of Impact Engineering 2005, 32:593-604.
16. Wu C.-Y., Thornton C., Li L.-Y. A semi-analytical model for oblique impacts of elastoplastic spheres. Proceedings of the Royal Society of London, Series A (Mathematical, Physical and Engineering Sciences) 2009, 465:937-960.
17. Stevens A., Hrenya C. Comparison of soft-sphere models to measurements of collision properties during normal impacts. Powder Technology 2005, 154:99-109.
18. Kruggel-Emden H., Simsek E., Rickelt S., Wirtz S., Scherer V. Review and extension of normal force models for the discrete element method. Powder Technology 2007, 171:157-173.
19. Goldsmith W. Impact 1960, Edward Arnold Ltd.
20. Aoki K., Akiyama T. Simulation studies of pressure and density wave propagations in vertically vibrated beds of granules. Physical Review E 1995, 52:3288-3291.
21. Langston P., Tüzün U., Heyes D. Continuous potential discrete particle simulations of stress and velocity fields in hoppers: transition from fluid to granular flow. Chemical Engineering Science 1994, 49:1259-1275.
22. Walton O.R. Application of molecular dynamics to macroscopic particles. International Journal of Engineering Science 1983, 22:1097-1107.
23. Kuwabara G., Kono K. Restitution coefficient in a collision between two spheres. Japanese Journal of Applied Physics 1987, 26:1230-1233.
24. Tsuji Y., Tanaka T., Ishida T. Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe. Powder Technology 1992, 71:239-250.
25. Brilliantov N., Spahn F., Hertzsch J.-M., Poschel T. Model for collisions in granular gases. Physical Review E 1996, 53:5382-5392.
26. Lee J., Herrmann H. Angle of repose and angle of marginal stability: molecular dynamics of granular particles. Journal of Physics A 1993, 26:373-383.
27. Walton O., Braun R. Viscosity, granular-temperature, and stress calculations for shearing assemblies of inelastic, frictional disks. Journal of Rheology 1986, 30:949-980.
28. Thornton C. Coefficient of restitution for collinear collisions of elastic-perfectly plastic spheres. Journal of Applied Mechanics, Transactions ASME 1997, 64:383-386.
29. Thornton C., Ning Z. A theoretical model for the stick/bounce behaviour of adhesive, elastic-plastic spheres. Powder Technology 1998, 99:154-162.
30. Sadd M.H., Tai Q., Shukla A. Contact law effects on wave propagation in particulate materials using distinct element modeling. International Journal of Non-Linear Mechanics 1993, 28:251-265.
31. Li L.-Y., Wu C.-Y., Thornton C. A theoretical model for the contact of elastoplastic bodies. Proceedings of the Institution of Mechanical Engineers, Part C (Journal of Mechanical Engineering Science) 2002, 216:421-431.
32. Wojtkowski M., Pecen J., Horabik J., Molenda M. Rapeseed impact against a flat surface: physical testing and DEM simulation with two contact models. Powder Technology 2010, 198:61-68.
33. Ji S., Shen H.H. Effect of contact force models on granular flow dynamics. Journal of Engineering Mechanics 2006, 132:1252-1259.
34. Thornton C., Cummins S.J., Cleary P.W. An investigation of the comparative behaviour of alternative contact force models during inelastic collisions. Powder Technology 2013, 233:30-46.
35. Mishra B., Murty C. On the determination of contact parameters for realistic DEM simulations of ball mills. Powder Technology 2001, 115:290-297.
36. Schwager T., Poschel T. Coefficient of restitution and linear-dashpot model revisited. Granular Matter 2007, 9:465-469.
37. Schäfer J., Dippel S., Wolf D. Force schemes in simulations of granular materials. Journal de Physique, I 1996, 6:5-20.
38. Ramirez R., Poschel T., Brilliantov N., Schwager T. Coefficient of restitution of colliding viscoelastic spheres. Physical Review E 1999, 60:4465-4472.
39. Bridges F., Hatzes A., Lin D. Structure, stability and evolution of Saturn's rings. Nature 1984, 309:333-335.
40. Gorham D., Kharaz A. The measurement of particle rebound characteristics. Powder Technology 2000, 112:193-202.
41. Zhang D., Whiten W. Calculation of contact forces between particles using spring and damping models. Powder Technology 1996, 88:59-64.
42. Goldenberg C., Goldhirsch I. Small and large scale granular statics. Granular Matter 2004, 6:87-96.
43. Kharaz A., Gorham D., Salman A. Accurate measurement of particle impact parameters. Measurement Science and Technology 1999, 10:31-35.
44. Brauer H. Report on investigations on particle movement in straight horizontal tubes, particle/wall collision and erosion of tubes and tube bends. Journal of Powder & Bulk Solids Technology 1980, 4:3-12.
45. Sondergaard R., Chaney K., Brennen C. Measurements of solid spheres bouncing off flat plates. Journal of Applied Mechanics, Transactions ASME 1990, 57:694-699.
46. Labous L., Rosato A.D., Dave R.N. Measurements of collisional properties of spheres using high-speed video analysis. Physical Review E 1997, 56:5717-5717.
47. Foerster S., Louge M., Chang H., Allia K. Measurements of the collision properties of small spheres. Physics of Fluids 1994, 6:1108-1115.
48. Lorenz A., Tuozzolo C., Louge M. Measurements of impact properties of small, nearly spherical particles. Experimental Mechanics 1997, 37:292-298.
49. Bird R., Stewart W., Lightfoot E. Transport phenomena 2001, John Wiley & Sons, Inc.
50. Antypov D., Elliott J.A., Hancock B.C. Effect of particle size on energy dissipation in viscoelastic granular collisions. Physical Review E 2011, 84:021303.
51. Lemieux M., Leonard G., Doucet J., Leclaire L.-A., Viens F., Chaouki J., Bertrand F. Large-scale numerical investigation of solids mixing in a V-blender using the discrete element method. Powder Technology 2008, 181:205-216.
52. Bolz R., Tuve G. CRC handbook of tables for applied engineering science 1970, CRC Press, Boca Raton.
53. Gale T., Totemeier W.F. Smithells Metals Reference Book 2004, Elsevier. 8th ed.
54. Kschinka B., Perrella S., Nguyen H., Bradt R. Strengths of glass spheres in compression. Journal of the American Ceramic Society 1986, 69:467-472.