Mathematical model and experimental validation of free surface size segregation for polydisperse granular materials

Granular Matter

Volumn 4, Issue 2, 2002, Pages 45-56

  Pudasaini, Shiva P ^a   Mohring, Jan ^b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b FRAUNHOFER INSTITUTE FOR INDUSTRIAL MATHEMATICS ITWM   (Germany)

Author keywords

Bulk solid; Free surface flow; Poly disperse granular material; Size segregation; Ternary mixture

Indexed keywords

BOUNDARY LAYERS; MATHEMATICAL MODELS; SIZE SEPARATION; SURFACE STRUCTURE;

POLYDISPERSE GRANULAR MATERIALS;

GRANULAR MATERIALS;

EID: 0036666211     PISSN: 14345021     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10035-002-0107-5     Document Type: Article

References (20)

1. P. Arteaga & U. Tüzün, Flow of binary mixtures of equal-density granules in hoppers-size segregation, flowing density and discharge rates, Chem. Engng. Sci., 45 (1990), pp. 205-223
2. J. A. Drahun & J. Bridgwater, The Mechanisms of Free Surface Segregation, Powder Technology, 36 (1983), pp. 39-53
3. J. M. N. T. Gray & K. Hutter, Pattern formation in granular avalanches, Continuum Mech. Thermodyn., 9 (1997), pp. 341-345
4. _, Physik granularer Lawinen, Physikalische Blätter, 54(1) (1998), pp. 37-43
5. 5. A. Hamilius & et al., Blast furnace practice with stave coolers and a rotating chute for burden distribution, at Sidmare, Ghent. Ironmaking and Steelmaking, 6 (1979), pp. 56-61
6. H. J. Herrmann & S. Luding, Modeling granular media on the computer, Continuum Mecha. Thermodyn., 10 (August, 1998). pp. 189-231
7. O. Hungr & N. R. Morgenstern, Experiments on the flow behaviour of granular materials at high velocity in an open channel flow, Geotechnique, 34 (1984), pp. 405-413
8. _, High velocity ring shear tests on sand, Geotechnique, 34 (1984), pp. 415-421
9. K. Hutter & K. R. Rajagopal, On flows of granular materials, Continuum Mecha. Thermodyn., 6 (1994), pp. 81-139
10. H. M. Jaeger & S. R. Nagel, Physics of the granular state, Science, 225 (1992), pp. 1523-1531
11. J. Mohring, Schulung zur Mischbettsimulation: Mathematische und algorithmische Grundlagen der C- Kernroutinen, Institut für Techno- und Wirtschaftsmathematik, Kaiserslautern, Germany, 2000
12. L. Prigozhin, A Quasivariational Inequality in the Problem of Filling a Shape, U. S. S. R. Comput. Maths. Math. Phys., 26, No. 4 (1986), pp. 74-79
13. _, A Variational Problem of Bulk Solids Mechanics and Free-Surface Segregation, Chemical Engineering Sciences, 48, No.21 (1993), pp. 3647-3656
14. S. P. Pudasaini, Mathematical simulation of free surface segregation in granular materials, Master's thesis, Department of Mathematics, University of Kaiserslautern, Germany, 2000
15. A. Samadani & et al. Size segregation of granular matter in silo discharges, Physical Review E, 60, No.6 (1999, December), pp. 7203-7209
16. S. B. Savage, Mechanics of granular flows, In Continuum mechanics in environmental sciences and geophysics, Ed. K. Hutter, CISM No. 337 Springer, Wien-New York (1993), pp. 467-522
17. S. B. Savage & C. K. K. Lun, Particle size segregation in inclined chute flow of dry cohesionless granular solids, J. Fluid Mechanics, 189 (1988), pp. 311-335
18. U. Tüzün, Critique of recent theoretical advances in particulate solids flow, in Particulate and Multiphase Processes, Edited by T. Ariman and T. N. Veziroglu, (1987), pp. 713-731
19. U. Tüzün & P. Arteaga, A microstructural model of flowing ternary mixtures of equal-density granules in hoppers, Chem. Engng. Sci., 47 (1992), pp. 1619-1634
20. F. K. Wipperman & G. Gross, The wind induced shaping and migration of an isolated dune: a numerical experiment, Boundary Layer Meteorol., 36 (1986), pp. 319-334