The Rayleigh approach to the rheology of compressible granular flow

Journal of Rheology

Volumn 41, Issue 3, 1997, Pages 513-529

  Astarita, Tommasso ^a   Ocone, Raffaella ^b   Astarita, Gianni ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344815140     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.550834     Document Type: Article

References (20)

1. Astarita, G. and R. Ocone, "Large-Scale Statistics Thermodynamics and Wave Propagation in Granular Flow," I&EC Research 33, 2280-2287 (1994).
2. Astarita, T., R. Ocone, and G. Astarita, "Compressible Flow of Granular Materials," in Particulate Flows: Processing and Rheology. IMA Volumes in Mathematics and its Applications (Springer-Verlag).
3. Bagnold, R. A., "Experiments on a Gravity-Free Dispersion of Large Solid Particles in a Newtonian Fluid under shear," Proc. R. Soc. London, Ser. A 225, 75-110 (1954).
4. Haff, P. K., "Grain Flow as a Fluid Mechanical Phenomenon," J. Fluid Mech. 134, 401-430 (1983).
5. Hugoniot, H., "Mémoire sur la Propagation du Mouvement dans un Fluide Indéfini," J. Math. Pure Appl. 3, 477-491; ibid. 4, 153-167 (1887).
6. Hugoniot, H., "Mémoire sur la Propagation du Mouvement dans un Fluide Indéfini," J. Math. Pure Appl. 3, 477-491; ibid. 4, 153-167 (1887).
7. Hugoniot, H., "Mémoire sur la Propagation du Mouvement dans les Corps et Spécialement dans les Gaz Parfaits," J. Ec. Polytech. 58, 1-17 (1888).
8. Jackson, R., "The Flow of Granular Materials and Aerated Granular Materials," J. Rheol. 30, 907-930 (1986).
9. Jenkins, J. T. and S. B. Savage, "A Theory for the Rapid Flow of Identical, Smooth, Nearly Elastic Spherical Particles," J. Fluid Mech. 130, 187-203 (1983).
10. Kato, T., Perturbation Theory for Linear Operators (Springler-Verlag, Berlin, 1995).
11. Mach, E., Die Mechanik in ihrer Entwicklung, historischkritish dargestellt (Brockhaus, Leipzig, 1883).
12. Maddox, J., "Towards Unequal Partition of Energy," Nature 374, 11 (1995).
13. Nayfeh, A. H., Perturbation Methods (Wiley, New York, 1973).
14. Ocone, R. and G. Astarita, "A Pseudo-Thermodynamic Theory of Granular Flow Rheology," J. Rheol. 37, 727-742 (1993).
15. Ocone, R. and G. Astarita, "On Waves of Particle Phase Pressure in Granular Materials," J. Rheol. 38, 129-139 (1994).
16. Ocone, R. and G. Astarita, "Compression and Rarefaction Waves in Granular Flow," Powder Technol. 82, 231-237 (1995a).
17. Ocone, R. and G. Astarita, "Energy Partitions," Nature (London) 375, 254 (1995b).
18. Ocone, R. and G. Astarita, "Grain Inertia and Fluid Viscosity Dominated Granular Flow: A Thermodynamic Analysis," Rheol. Acta. 34, 323-328 (1995c).
19. Rayleigh, Lord (J. W. Strutt), "Aerial Plane Waves of Finite Amplitude," Proc. R. Soc. London. Ser. A 84, 247-284 (1910).
20. Zucrow, M. J. and J. D. Hoffman, Gas Dynamics, Vol. 1 (Wiley, New York, 1976).