An experimental and numerical study of transversal dispersion of granular material on a vibrating conveyor

Particulate Science and Technology

Volumn 26, Issue 2, 2008, Pages 177-196

  Simsek, Erdem ^a   Wirtz, Siegmar ^a   Scherer, Viktor ^a   Kruggel Emden, Harald ^a   Grochowski, Rafal ^b   Walzel, Peter ^b  

^a RUHR UNIVERSITY BOCHUM   (Germany)

^b TU DORTMUND UNIVERSITY   (Germany)

Author keywords

Diffusion; Discrete element simulation; Dispersion; Granular material; Image processing; Mixing; Vibration

Indexed keywords

DISPERSIONS; FINITE DIFFERENCE METHOD; IMAGE PROCESSING; NUMERICAL METHODS; PARTICLE SIZE; VIBRATING CONVEYORS;

DISCRETE ELEMENT CODES; DISCRETE ELEMENT SIMULATION; GRANULAR FLOW; MIXING LAYER THICKNESS;

GRANULAR MATERIALS;

ARTICLE; DISPERSION; FLOW RATE; GAS ANALYSIS; GRANULAR CELL; IMAGE PROCESSING; MATHEMATICAL MODEL; OSCILLATION; PARTICLE SIZE; PHYSICAL CHEMISTRY; PRIORITY JOURNAL; SHEAR FLOW; SIMULATION; VELOCITY; VIBRATION; VISCOELASTICITY; YOUNG MODULUS;

EID: 40549086609     PISSN: 02726351     EISSN: 15480046     Source Type: Journal    
DOI: 10.1080/02726350801903772     Document Type: Article

References (45)

1. Akiyama, T. & R. Nishiyama. 1994. Solid mixing in a vibrating particle bed: Effect of a tube submerged in the bed. Powder Technol. 80: 11-16.
2. Akiyama, T., T. Iguchi, K. Aoki, & K. Nishimoto. 1998. A fractal analysis of solids mixing in two-dimensional vibrating particle beds. Powder Technol. 97: 63-71.
3. Asmar, B. N., P. A. Langston, & A. J. Matchett. 2002. A generalized mixing index in distinct element method simulation of vibrated particulate beds. Granular Matter 4: 129-138.
4. Buggisch, H. & G. Löffelmann. 1989. Theoretical and experimental investigations into granulate mixing mechanisms. Chem. Eng. Process. 26: 193-200.
5. Campbell, C. S. 1990. Rapid granular flows. Annu. Rev. Fluid Mech. 22: 57-92.
6. Campbell, C. S. 1997. Self-diffusion in granular shear flows. J. Fluid Mech. 348: 85-101.
7. Cleary, P. W., G. Metcalfe, & K. Liffman. 1998. How well do discrete element granular flow models capture the essentials of mixing processes? Appl. Math. Model. 22: 995-1008.
8. Cundall, P. A. & O. D. L. Strack. 1979. A discrete numerical model for granular assemblies. Geotechnique 29 (1): 47-65.
9. Di Maio, F. P. & A. Di Renzo. 2004. Analytical solution for the problem of frictional-elastic collisions of spherical particles using the linear model. Chem. Eng. Sci. 59: 3461-3475.
10. El hor, H. & S. J. Linz. 2005. Model for transport of granular matter on annular vibratory conveyor. J. Stat. Mech. 2005: L02005.
11. Foerster, S. F., M. Y. Louge, H. Chang, & K. Allia. 1994. Measurements of the collision properties of small spheres. Phys. Fluids 6 (3): 1108-1115.
12. Goda, T. J. & F. Ebert. 2005. Three-dimensional discrete element simulations in hoppers and silos. Powder Technol. 158: 58-68.
13. Goetz, S. 2006. Gekoppelte CFD/DEM Simulation blasenbildenden Wirbelschichten. Ph.D. diss. University of Dortmund.
14. Grochowski, R. & P. Walzel. 2005. Dispersion of granular material on a vibrating conveyor. Chem. Ing. Tech. 77: 1020.
15. Grochowski, R., P. Walzel, M. Rouijaa, C. A. Krülle, & I. Rehberg. 2004a. Reversing granular flow on a vibratory conveyor. Appl. Phys. Lett. 84: 1019-1021.
16. Grochowski, R., S. Strugholtz, H. El hor, S. J. Linz, & P. Walzel. 2004b. Transport properties of granular matter on vibratory conveyors. Paper presented at International Congress for Particle Technology (PARTEC 2004), Nuremberg (16-18 March).
17. Henrique, C., G. Batrouni, & D. Bideau. 2000. Diffusion as a mixing mechanism in granular materials. Phys. Rev. E 63: 011304.
18. Hsiau, S. S. & M. L. Hunt. 1993. Shear-induced particle diffusion and longitudinal velocity fluctuations in a granular-flow mixing layer. J. Fluid Mech. 251: 299-313.
19. Hsiau, S. S. & S. C. Yang. 2003. Numerical simulation of self-diffusion and mixing in a vibrating granular bed with the cohesive effect of liquid bridges. Chem. Eng. Sci. 58: 339-351.
20. Hsiau, S. S., P. C. Wang, & C. H. Tai. 2002. Convection cells and segregation in a vibrated granular bed. AIChE J. 48: 1430-1438.
21. Hsiau, S. S., L. S. Lu, J. C. Chen, & W. L. Yang. 2005. Particle mixing in a sheared granular flow. J. Multiph. Flow 31: 793-808.
22. Hunt, M. L., S. S. Hsiau, & K. T. Hong. 1994. Particle mixing and volumetric expansion in a vibrated granular bed. J. Fluids Eng. 116: 785-791.
23. Ivanov, I., S. Wirtz, H.-J. Mühlen, & M. Mayer. 2004. Discrete Element Simulationen zur simultanen Beschreibung von Material- und Energietransport in bewegten Schüttungen. Paper presented at DGMK-Tagung Energetische Nutzung von Biomassen "Velen VI", Posterbeitrag, 19-21. April 2004.
24. Jenkins, J. T. & S. B. Savage. 1983. A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles. J. Fluid. Mech. 130: 187-202.
25. Johnson, K. L. 1989. Contact Mechanics. Cambridge: Cambridge University Press.
26. Kharaz, A. H., D. A. Gorham, & A. D. Salman. 2001. An experimental study of the elastic rebound of spheres. Powder Technol. 120: 281-291.
27. Ko, Y. S. 2005. Vibrationsmischen von Schüttgütern bei stochastischer Anregung des Bechälters. Ph.D. diss. University of Paderborn.
28. Kruggel-Emden, H., E. Simsek, S. Wirtz, & V. Scherer. 2006a. Modeling of granular flow and combined heat transfer in hoppers by the discrete element method (DEM). J. Press. Vessel Technol. 128 (3): 439-444.
29. Kruggel-Emden, H., E. Simsek, S. Wirtz, & V. Scherer. 2006b. A new approach for modeling the normal contact within granular assemblies through the discrete element method. Paper presented at AIChE Fifth Congress on Particle Technology, Orlando.
30. Kruggel-Emden, H., E. Simsek, S. Wirtz, & V. Scherer. 2007. A comparative numerical study of particle mixing on different grate designs through the discrete element method. J. Press. Vessel Technol. 129: 4.
31. Kruggel-Emden, H., E. Simsek, S. Wirtz, & V. Scherer. 2007. Review and extension of normal force models for the discrete element method. Powder Technol. 171(3): 157-173.
32. Langston, P. A., M. A. Al-Awamleh, F. Y. Fraige, & B. N. Asmar. 2004. Distinct element modelling of non-spherical frictionless particle flow. Chem. Eng. Sci. 59: 425-435.
33. Lätzel, M., S. Luding, H. J. Herrmann, D. W. Howell, & R. P. Behringer. 2003. Comparing simulation and experiment of a 2D granular Couette shear device. Eur. Phys. J. E 11: 325-333.
34. Lu, L. S. & S. S. Hsiau. 2005. Mixing in vibrated granular beds with the effect of electrostatic force. Powder Technol. 160: 170-179.
35. Maw, N., J. R. Barber, & J. N. Fawcett. 1976. The oblique impact of elastic spheres. Wear 38: 101-114.
36. Natarajan, V. V. R., M. L. Hunt, & E. D. Taylor. 1995. Local measurements of velocity fluctuations and diffusion coefficients for a granular material flow. J. Fluid Mech. 304: 1-25.
37. Ogawa, S. 1978. Multi-temperature theory of granular materials. In Proceedings of US-Japan Seminar on Continuum-Mechanical and Statistical Approaches in the Mechanics of Granular Materials, Tokyo pp. 208-217.
38. Rhodes, M. J., X. S. Wang, M. Nguyen, P. Stewart, & K. Liffman. 2001. Study of mixing in gas-fluidized beds using a DEM model. Chem. Eng. Sci. 56: 2859-2866.
39. Rougier, E., A. Munjiza, & N.W.M. John. 2004. Numerical comparison of some explicit time integration schemes used in DEM, FEM=DEM and molecular dynamics. Int. J. Numer. Meth. Eng. 61: 856-879.
40. Schäfer, J., S. Dippel, & D. E. Wolf. 1996. Force schemes in simulations of granular materials. J. Phys. I (France) 6: 5.
41. Scott, A. M. & J. Bridgewater. 1976. Self-diffusion of spherical particles in a simple shear apparatus. Powder Technol. 14: 177-183.
42. Sommer, K. 1977. Mechanismen des Pulvermischens. Chem. Ing. Tech. 49: 305-311.
43. Tai, C. H. & S. S. Hsiau. 2004. Dynamic behaviors of powders in vibrated bed. Powder Technol. 139: 221-232.
44. Weinekötter, R. & H. Gericke. 2000. Mixing of Solids. Boston: Kluwer Academic.
45. Zik, O. & J. Stavans. 1991. Self-diffusion in granular flows. Europhys. Lett. 16: 255-258.