Local measurements of velocity fluctuations and diffusion coefficients for a granular material flow

Journal of Fluid Mechanics

Volumn 304, Issue , 1995, Pages 1-25

  Natarajan, V V R ^a   Hunt, M L ^a   Taylor, E D ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTACTS (FLUID MECHANICS); DENSITY (SPECIFIC GRAVITY); DIFFUSION; FLUID MECHANICS; GLASS; SHEAR FLOW; SPHERES; SURFACE ROUGHNESS; VELOCITY MEASUREMENT;

GLASS SPHERES; GRANULAR MATERIAL FLOW; LONG DURATION FRICTIONAL CONTACTS; SELF DIFFUSION COEFFICIENT; SHEAR RATE; TWO DIMENSIONAL FLOW; VELOCITY FLUCTUATION;

FLOW OF FLUIDS;

EID: 0029504826     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112095004320     Document Type: Article

References (38)

1. AHN, H., BRENNEN, C. E.&SABERSKY, R. H. 1991 Measurements of velocity, velocity fluctuations, density and stresses in chute flows of granular materials. Trans. ASME E: J. Appl. Mech. 58, 792–803.
2. BRENNEN, C.&PEARCE, J. C. 1978 Granular material flow in two-dimensional hoppers. Trans. ASME E: J. Appl. Mech. 45, 43–50.
3. BRIDGEWATER, J. 1980 Self diffusion coefficients in deforming powders. Powder Technol. 25, 129–131.
4. BUGGISH, H.&LOFFELMANN, G. 1989 Theoretical and experimental investigation into local granular mixing mechanisms. Chem. Engng. Proc. 26, 193–200.
5. CAMPBELL, C. S. 1989 The stress tensor for simple shear flow of a granular material. J. Fluid Mech. 203, 449—473.
6. CAMPBELL, C. S. 1993 Self-diffusion in granular shear flows. J. Fluid Mech. (submitted).
7. CHAPMAN, S.&COWLING, T. G. 1971 The Mathematical Theory of Non-uniform Gases, 3rd edn. Cambridge University Press.
8. DAI, R. 1993 Granular flow studies through kinetic theory and numerical simulation approaches. PhD thesis, McGill University, Montreal.
9. DRAKE, T. G. 1991 Granular flow: physical experiments and their implications for microstructural theories. J. Fluid Mech. 225, 121–152.
10. EINSTEIN, A. 1956 In Albert Einstein, Investigations on the theory of the Brownian movement (ed. R. Furth), chap. 1, §4, pp. 12–17. Dover.
11. GOODMAN, M. A.&COWIN, S. C. 1971 Two problems in the gravity flow of granular materials. J. Fluid Mech. 45, 321–339.
12. HAFF, P. K. 1983 Grain flow as a fluid mechanical phenomenon. J. Fluid Mech. 134, 401 – 430.
13. HSIAU, S. S.&HUNT, M. L. 1993a Shear-induced particle diffusion and longitudinal velocity fluctuations in a granular-flow mixing layer. J. Fluid Mech. 251, 299–313
14. HSIAU, S. S.&HUNT, M. L. 1993 Kinetic theory analysis of flow-induced particle diffusion and thermal conduction in granular material flows. Trans. ASM EG: J. Heat Transfer 115, 541–548.
15. HUI, K.&HAFF, P. K. 1986 Kinetic grain flow in a vertical channel. Inti J. Multiphase Flow 12, 289–298.
16. HUNT, M. L., HSIAU, S. S.&HONG, K. T. 1994 Particle mixing and volumetric expansion in a vibrated granular bed. Trans. ASME I: J. Fluids Engng 116, 785–791.
17. HWANG, C. L.&HOGG, R. 1980 Diffusive mixing in flowing powders. Powder Technol. 26, 93–101.
18. JENKINS, J. T.&SAVAGE, S. B. 1983 A theory for the rapid flow of identical, smooth, nearly elastic, spherical particles. J. Fluid Mech. 130, 187–202.
19. JOHNSON, P. C.&JACKSON, R. 1987 Frictional-collisional constitutive relations for granular materials, with application to plane shearing. J. Fluid Mech. 176, 67–93.
20. LIU, K. S., KALOS, M. H.&CHESTER, G. V. 1974 Quantum hard spheres in a channel. Phys. Rev. A 10, 303–308.
21. LOUGE, M. Y. 1994 Computer simulations of rapid granular flows of spheres interacting with a flat, frictional boundary. Phys. Fluid. 6, 2253–2269.
22. LUN, C. K. K.&SAVAGE, S. B. 1986 The effects of an impact velocity dependent coefficient of restitution on stresses developed by sheared granular materials. Acta Mech. 63, 15–44.
23. LUN, C. K. K., SAVAGE, S. B., JEFFREY, D. J.&CHEPURNIY, N. 1984 Kinetic theories for granular flow: inelastic particles in Couette flow and slightly inelastic particles in a general flow field. J. Fluid Mech. 140, 223–256.
24. NEDDERMAN, R. M. &LAOHAKUL, C. 1980 The thickness of the shear zone of flowing granular materials. Powder Technol. 25, 91–100.
25. NGUYEN, T. V., BRENNEN, C.&SABERSKY, R. H. 1979 Gravity flow of granular materials in conical hoppers. Trans. ASME E: J. Appl. Mech. 46, 529–535.
26. NUNZIATO, J. W., PASSMAN, S. L.&THOMAS, J. P. 1980 Gravitational flows of granular materials with incompressible grains. J. Rheol. 24, 395–420.
27. RICHMAN, M. W.&MARCINIEC, R. P. 1991 Granular chute flows. In Recent Advances in Mechanics of Structured Continua, AMD-Vol. 117. ASM: E.
28. SAVAGE, S. B. 1979 Gravity flow of cohesionless granular materials in chutes and channels. J. Fluid Mech. 92, 53–96.
29. SAVAGE, S. B.&DAI, R. 1993 Studies of shear flows. Wall slip velocities, ‘layering’ and self-diffusion. Mech. Mater. 16, 225–238.
30. SAVAGE, S. B.&JEFFREY, D. J. 1981 The stress tensor in a granular flow at high shear rates. J. Fluid Mech. 110, 255–272.
31. SCOTT, A. M. &BRIDGEWATER, J. 1976 Self-diffusion of spherical particles in a simple shear apparatus. Powder Technol. 14, 177–183.
32. SHERWOOD, T. K., PIGFORD, R. L.&WILKE, C. R. 1975 Mass Transfer. McGraw Hill.
33. TAKAHASHI, H.&YANAI, H. 1973 Flow profiles and void fraction of granular solids in a moving bed. Powder Technol. 7, 205–214.
34. TAYLOR, E. D.&HUNT, M. L. 1993 Measurements of velocity fluctuations in a granular flow. In Powders & Grains 93 (ed. C. Thornton). Balkema.
35. TAYLOR, G. I. 1953 Dispersion of soluble matter in solvent flowing slowly through a tube. Proc. R. Soc. Lond. A 219, 186–203.
36. TAYLOR, G. I. 1954 The dispersion of matter in turbulent flow through a pipe. Proc. R. Soc. Lond. A 223, 446–468.
37. WALTON, O. R.&BRAUN, R. L. 1986 Viscosity, granular temperature and stress calculations for shearing assemblies of inelastic, frictional disks. J. Rheol. 30, 949–980.
38. ZIK, O.&STAVANS, J. 1991 Self-diffusion in granular flows. Europhys. Lett. 16, 255–258.