An application of non-Newtonian fluid mechanics to granular flow using a critical state concept

Powder Handling and Processing

Volumn 10, Issue 3, 1998, Pages 239-244

  Elaskar, S A ^a   Godoy, L A ^a  

^a UNIVERSIDAD NACIONAL DE CÓRDOBA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; FLOW OF SOLIDS; FLUID MECHANICS; GRANULAR MATERIALS; ONE DIMENSIONAL; PLASTICITY; STRAIN RATE; STRESSES; SURFACES;

CRITICAL STATE CONCEPT; GRANULAR FLOW; NON NEWTONIAN FLUID MECHANICS; PLASTIC DISCONTINUITY FUNCTION; STRESS TENSOR;

NON NEWTONIAN FLOW;

EID: 0032108248     PISSN: 09347348     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. BAGNOLD, R.: Experiment on a gravity-free dispersion of large solids spheres in a Newtonian fluid under shear. Proceeding of the Royal Society, Series A 225 (1954): pp. 49-72.
2. BATCHELOR, G.: An Introduction to Fluid Dynamics; Cambridge University Press. Cambridge (1967).
3. BINGHAM, E.: Fluidity and Plasticity; McGraw-Hill. New York (1922).
4. BLIGHT, G. A comparison of measured pressures in silos with code recommendations; bulk solids handling Vol. 8 (1988) No. 2, pp. 41-49.
5. DESAI, C. and H. SIRIWARDANE: Constitutive Lams for Engineering Materials; PrenticeHall, New Jersey (1984).
6. DRAKE, T. and O. WALTON: Comparison of experimental and simulated grain flows; Journal of Applied Mechanics 62 (1995), pp. 131-135.
7. DRUCKER, D. and W. PRAGER: Soil mechanics and plastic analysis or limit design; Quarterly of Applied Mathematics. 10 (1952): 157-165.
8. ELASKAR, S.: Modelado analitico y por elementos finitos del flujo de materiales granulares. Aplicación a presiones debidas a descarga en silos; Ph.D. Thesis. Universidad Nacional de Cordoba, Cordoba, Argentina (1997). (In Spanish).
9. GRAY, D. and J. STILES: Theoretical and Numerical Studies of Constitutive Relation for Friclional Granular Flow; Annual Report DOE/MC/24207-2852 (DE90009662), U.S. Department of Energy. Morgantown, WV, USA (1990).
10. GRAY, D., J. STILES, and I. CELIK: Theoretical and Numerical Studies of Constitutive Relation for Friclional Granular Flow; Final Report DOE/MC/24207-3009 (DE 91002089), U.S. Department of Energy, Morgantown, WV, USA (1991).
11. GRAY, D. and J. STILES: Geometry of yield surfaces for frictional flow of granular materials. In: Mechanics Computing in 1990's and Beyond, ASCE, New York Vol. 2 (1991), pp. 1219-1223.
12. GREEN, A. and S. RIVLIN: Steady flow of non-Newtonian fluids through tubes; Quarterly of Applied Mathematics 14 (1956), pp. 299-308.
13. HÄGGBLAD, H.: Constitutive models for powder materials; Powder Technology 67 (1991), pp. 127-136
14. JENIKE, A.: Gravity flow of bulk solids; Utah Engineering Experiment Station, Bulletin 108, University of Utah (1961).
15. KAMINSKI, M. and H. HAMADEH: An experimental investigation of funnel flow and wall pressure variation in silos; powder handling processing Vol. 6 No. 4 (1994), pp. 389-393
16. KMITA, J.: An experimental analysis of internal silo loads; bulk solids handling Vol. 11 No. 2 (1991), pp. 459-468.
17. LUBLINER, J.: Plasticity Theory; Maxwell Macmillan, New York (1990).
18. MCTIGUE, D.: A nonlinear constitutive model for granular materials: Application to gravity flow; Journal of Applied Mechanics Vol. 40 (1982), pp. 291-296.
19. NATARAJAN, V., M. HUNT, and E. TAYLOR: Local measurements of velocity fluctuations and diffusion coefficients for granular material flow; Journal of Fluid Mechanics Vol. 304 (1995), pp. 1-26.
20. PITMAN, E. and D. SCHAEFFER: Stability of time dependent compressible granular flow in two dimensions. Communications on Pure and Applied Mathematics Vol. 40 (1987), pp. 421-447.
21. PITMAN, E. and D. SCHAEFFER: Instability and ill-posedness in granular flow. In: Proceedings AMS Workshop on Riemann Problems (1988).
22. RAVENET, J.: Silos. Flujo de Vaciado de Solidos. Formacion de Bovedas. Efectos; Editores Tecnicos Asociados. Barcelona (1982). (In Spanish)
23. SAVAGE, S.: Gravity flow of cohesionless granular materials in chutes and channels; Journal of Fluid Mechanics Vol. 92 (1979), pp. 53-96.
24. SCHAEFFER, D.: Instability in the evolution equations describing granular flow; Journal of Differential Equations Vol. 66 (1987), pp. 19-50.
25. SCHAEFFER, D. and E. PITMAN: Ill-posedness in threedimensional plastic flow; Communications on Pure and Applied Mathematics Vol. 41 (1988), pp. 879-890.
26. SCHOFIELD, A. and P. WROTH: Critical State Soil Mechanics; McGraw-Hill, New York (1968).
27. WALKER, D. and M. BLANCHARD: Pressures in experimental coal hoppers; Chemical Engineering Science Vol. 22 (1967), pp. 1706-1713.