Some aspects of flow of granular materials in hoppers

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 356, Issue 1747, 1998, Pages 2649-2666

  Drescher, Andrew ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Granular materials; Hoppers; Shear bands; Shocks

Indexed keywords

EID: 3042951999     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1998.0291     Document Type: Article

References (30)

1. Cox, A. D., Eason, G. & Hopkins, H. G. 1961 Axially symmetric plastic deformations in soils. Proc. R. Soc. Lond. A 254, 1-45.
2. Cutress, J. O. & Pulfer, R. F. 1967 X-ray investigations of flowing powders. Powder Technol. 1, 213-220.
3. Drescher, A. 1991 Analytical methods in bin-load analysis. New York: Elsevier.
4. Drescher, A. 1992 On the criteria for mass flow in hoppers. Powder Technol. 73, 251-260.
5. Drescher, A. & Michalowski, R. L. 1984 Density variation in pseudo-steady plastic flow of granular media. Géotechnique 34, 1-10.
6. Drescher, A., Cousens, T. W. & Bransby, P. L. 1978 Kinematics of the mass flow of granular material through a plane hopper. Géotechnique 28, 27-42.
7. Drescher, A., Waters, A. J. & Rhoades, C. A. 1995a Arching in hoppers. I. Arching theories and bulk material flow properties. Powder Technol. 84, 165-176.
8. Drescher, A., Waters, A. J. & Rhoades, C. A. 1995b Arching in hoppers. II. Arching theories and critical outlet size. Powder Technol. 84, 177-183.
9. Enstad, G. G. 1981 A novel theory on the arching and doming in mass flow hoppers. The Chr. Michelsen Institute, Bergen.
10. Garagash, D., Drescher, A. & Detournay, E. 1998 Stationary shock in cohesive-frictional materials. Mech. Coh. Fric. Mater. (Submitted.)
11. Han, C. & Drescher, A. 1993 Shear bands in biaxial tests on dry coarse sand. Soils Found. 33, 118-132.
12. Jenike, A. W. 1964a Storage and flow of solids. University of Utah Experimental Station, Bull. 123.
13. Jenike, A. W. 1964b Steady gravity flow of frictional-cohesive solids in converging channels. J. Appl. Mech. Trans. ASME 31, 5-11.
14. Jenike, A. W. 1987 A theory of flow of particulate solids in converging and diverging channels based on a conical yield function. Powder Technol. 50, 229-236.
15. Jenike, A. W. & Leser, T. 1963 A flow-no-flow criterion in the gravity flow of powders in converging channels. In Proc. 4th Int. Congr. Rheol., pp. 125-141. Providence, RI: Brown University.
16. Jenike, A. W. & Shield, R. T. 1959 On the plastic flow of Coulomb solids beyond original failure. J. Appl. Mech. Trans. ASME 26, 599-602.
17. Michalowski, R. L. 1984 Flow of granular material through a plane hopper. Powder Technol. 39, 29-40.
18. Michalowski, R. L. 1987 Flow of granular material through a plane parallel/converging bunker. Chem. Engng Sci. 42, 2587-2596.
19. Michalowski, R. L. 1989 Periodic patterns of granular flow through a plane container. In Proc. 3rd Int. Symp. on Numerical Models in Geomechanics, Niagara Falls (ed. S. Pietruszczak & G. N. Pande), pp. 305-310. London: Elsevier.
20. Michalowski, R. L. 1990 Strain localization and periodic fluctuations in granular flow processes from hoppers. Géotechnique 40, 389-403.
21. Molerus, O. 1978 Effect of interparticle cohesive forces on the flow behaviour of powders. Powder Technol. 20, 161-175.
22. Nedderman, R. N. 1992 Statics and kinematics of granular materials. New York: Cambridge University Press.
23. Nedderman, R. N., Tüzün, U., Savage, S. B. & Houlsby, G. T. 1982 The flow of granular materials. I. Discharge rates from hoppers. Chem. Engng Sci. 37, 1597-1609.
24. Pariseau, W. C. 1969/70 Discontinuous velocity fields in gravity flows of granular materials through slots. Powder Technol. 3, 218-226.
25. Pitman, E. B. 1986 Stress and velocity fields in two- and three-dimensional hoppers. Powder Technol. 47, 219-231.
26. Schaeffer, D. G. 1987 Instability in the evolution equations describing incompressible granular flow. J. Diff. Equats 66, 19-50.
27. Schaeffer, D. G. 1990 Instability and ill-posedness in the deformation of granular materials. Int. J. Numer. Analysis Meth. Geomech. 14, 253-278.
28. Shield, R. T. 1955 On the plastic flow of metals under conditions of axial symmetry. Proc. R. Soc. Lond. A 233, 267-287.
29. Tüzün, U., Houlsby, G. T., Nedderman, R. M. & Savage, S. B. 1982 The flow of granular materials. II. Velocity distributions in slow flow. Chem. Engng Sci. 37, 1691-1709.
30. Vardoulakis, I. & Sulem, J. 1995 Bifurcation analysis in geomechanics. London: Blackie.