A new theory of the instability of a uniform fluidized bed

Journal of Fluid Mechanics

Volumn 193, Issue , 1988, Pages 75-110

  Batchelor, G K ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0023744269     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211208800206X     Document Type: Article

References (30)

1. Anderson, T. B. & Jackson, R. 1968 A fluid mechanical description of fluidized beds - stability of the state of uniform fluidization. Ind. Engng Chem. Fundam. 7, 12–21.
2. Batchelor, G. K. 1972 Sedimentation in a dilute dispersion of spheres. J. Fluid Mech. 52, 245–68.
3. Batchelor, G. K. 1976 Brownian diffusion of particles with hydrodynamic interaction. J. Fluid Mech. 74, 1–29.
4. Biesheuvel, A. & Van Wijngaarden, L. 1984 Two-phase flow equations for a dispersion of gas bubbles in liquid. J. Fluid Mech. 148, 301–318.
5. Buscall, R., Goodwin, J. W., Ottewill, R. H. & Tadros, T. F. 1982 The settling of particles through Newtonian and non-Newtonian media, J. Colloid Interface Sci. 85, 78–86.
6. Clift, R., Grace, J. R. & Weber, M. E. 1978 Bubbles, Drops and Particles. Academic.
7. Dallavalle, J. M. 1948 M icromeritics. Pitman.
8. Davidson, J. F. & Harrison, D. 1963 Fluidized Particles. Cambridge University Press.
9. Davis, R. H. & Hassan, M. 1988 Spreading of the interface at the top of a slightly polydisperse sedimenting suspension. J. Fluid Mech, (in press).
10. Drew, D, A. 1983 Mathematical modeling of two-phase flow. Ann. Rev. Fluid Mech. 15, 261–91.
11. El-kaissy, M. M. & Homsy, G. M. 1976 Instability weaves and the origin of bubbles in fluidized beds. Part I. Experiments. Intl. J. Multiphase Flow 2, 379–395.
12. Fanucci, J. B., Ness. N. & Yen, R.-H. 1979 On the formation of bubbles in gas-particulate fluidized beds. J. Fluid Mech. 94, 353–367.
13. Foscolo, P. U. & Gibilaro, L. G. 1984 A fully predictive criterion for the transition between particulate and aggregative fluidization. Chem. Engng Sci. 39, 1667–75.
14. Foscolo, P. U. & Gibilaro, L. G. 1987 Fluid dynamic stability of fluidised suspensions: the particle bed model. Chem. Engng Sci. 42, 1489–1500.
15. Garg, S. K. & Pritchett, J. W. 1975 Dynamics of gas-fluidized beds. J. Appl. Phys. 46, 4493–4500.
16. Geld art, D. 1973 Types of gas fluidization. Powder Tech. 7, 285–292.
17. Homsy, G. M. Didwania, A. 1980 Instability waves and the origin of bubbles in fluidized beds. Part II. Comparison with theory. Intl. J. Multiphase Flow 6, 305–318.
18. Jackson, R. 1963 The mechanics of fluidized beds. I. The stability of the state of uniform fluidization. Trans. Inst. Chem. Engrs 41, 13–21.
19. Jackson, R. 1985 Hydrodynamic stability of fluid-particle systems. In Fluidization (ed. J. F. Davidson, R. Clift & D. Harrison), chap. 2. Academic.
20. Kynch, G. J. 1952 A theory of sedimentation. Trans. Faraday Soc. 48, 166–76.
21. Molerus, O. 1967 Hydrodynamische Stabilitat des Fliessbetts. Chem. Ing. Technik 39, 341–8.
22. Murray, J. D. 1965 On the mathematics of fluidization. I. J. Fluid Mech. 21, 465–493.
23. Needham, D. J. & Merkin, J. H. 1983 The propagation of a voidage disturbance in a uniformly fluidized bed. J. Fluid Mech. 131, 427–454.
24. Pigford, R. L. & Baron, T. 1965 Hydrodynamic stability of a fluidized bed. Ind. Enqnq Chem. Fundam. 1, 81–87.
25. Ruckenstein, E. 1962 Uber die Stabilitat der Homogenen Struktur von Wirbelschichten. Revue de Physique 7, 137–143.
26. Verloop, J. & Heertjes, P. M. 1970 Shock waves as a criterion for the transition from homogeneous to heterogeneous fluidization. Chem. Engng Sci. 25, 825–832.
27. Wallis, G. B. 1962 One-dimensional waves in two-component flow. Atomic Energy Establishment, Winfrith, Report no. R162.
28. Wallts, G. B. 1969 One-dimensional Two-phase Flow. McGraw-Hill.
29. Wilhelm, R. H. & Kwauk, M. 1948 Fluidization of solid particles. Chem. Engng Prog. 44, 201–218.
30. Zuber, N. 1964 On the dispersed two-phase flow in the laminar flow regime. Chem. Engng Sci. 19, 897.