The Velocity of Dynamic Waves in Fluidised Beds

  • Larry Gibilaro
  • Piero Foscolo
  • Renzo Di Felice
Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 26)


A simple expression for the velocity of dynamic waves in fluidised suspensions that has been derived solely in terms of the equilibrium fluid-particle interaction force parameters, is shown to be in close agreement with direct measurements made under incipient fluidisation conditions; further support is provided by the extensive minimum bubbling point data reported for both gas and liquid fluidised systems and other reported observations of fluidisation quality.

Key words

fluidisation particle pressure 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    T.B. Anderson and R. Jackson, A fluid mechanical description of fluidised beds - comparison of theory and experiment, Ind. Engng. Fundam., 8 (1969), pp. 137.CrossRefGoogle Scholar
  2. [2]
    J.M. Coulson and J.F. Richardson, Chemical Engineering, 3rd edn, 2, Pergamon Press, Oxford (1978).Google Scholar
  3. [3]
    M.E. Crowther and J.C. Whitehead, Fluidisation of fine particles at elevated pressure, in Fluidisation, Cambridge University Press, Cambridge (1978), pp. 65–70.Google Scholar
  4. [4]
    J.M. Dallavalle, Micromeritics, 2nd edn, Pitmans, London (1948).Google Scholar
  5. [5]
    J.A.H. De Jong and J.F. Nomden, Homogeneous gas-solid fluidisation, Powder Techn, 9 (1974), pp. 91–97.CrossRefGoogle Scholar
  6. [6]
    M.M. El Kaissy and G.M. Homsy, Instability waves and the origin of bubbles in fluidised beds, Int. J. Multiphase Flow, 2 (1976), pp. 379–395.CrossRefzbMATHGoogle Scholar
  7. [7]
    P.U. Foscolo and L.G. Gibilaro, A fully predictive criterion for the transition between particulate and aggregate fluidisation, Chem. Engng. Sci., 39 (1984), pp. 1667–1675.CrossRefGoogle Scholar
  8. [8]
    P.U. Foscolo and L.G. Gibilaro, Fluid dynamic stability of fluidised suspensions: the particle bed model, Chem. Engng Sci., 42 (1987), pp. 1489–1500.CrossRefGoogle Scholar
  9. [9]
    D. Geldart, Types of gas fluidisation, Powder Technol., 7 (1973) pp. 285–292.CrossRefGoogle Scholar
  10. [10]
    L.G. Gibilaro, I. Hossain and P.U. Foscolo, Aggregate behaviour of liquid fluidised beds, Can. J. Chem. Engng., 64 (1986), pp. 931–938.CrossRefGoogle Scholar
  11. [11]
    L.G. Gibilaro, R. Di Felice, P.U. Foscolo and S.P. Waldram, Fluidisation quality: a criterion for indeterminate stability, Chem. Engng. J., 37 (1988), pp. 25–33.CrossRefGoogle Scholar
  12. [12]
    L.G. Gibilaro, E. Di Felice and P.U. Foscolo, On the minimum bubbling voidage and the Geldart classification for gas-ffuidised beds, Powder Technol., 56 (1988), pp. 21–29.CrossRefGoogle Scholar
  13. [13]
    L.G. Gibilaro, R. Di Felice, I. Hossain and P.U. Foscolo, The experimental determination of one-dimensional wave velocities in liquid fluidised beds, Chem. Engng. Sci., 44 (1989) pp. 101–107.CrossRefGoogle Scholar
  14. [14]
    N.J. HASSETT, The mechanism of fluidisation, Brit. Chem. Engng., 11 (1961), pp. 777–780.Google Scholar
  15. [15]
    K.V. Jacob and A.W.Weimer, High-pressure particulate expansion and minimum bubbling of fine carbon powders, AIChE.J., 33 (1987), pp. 1698–1706.CrossRefGoogle Scholar
  16. [16]
    S.N.P. Mutsers and K. Rietema, Gas-solid fluidisation in a centrifugal field. The effect of gravity upon bed expansion, Powder Technol., 18 (1977), pp. 249–256.CrossRefGoogle Scholar
  17. [17]
    P.N. Rowe, A rational explanation for the behaviour of Geldart type A and B powders when fluidised, AIChE. Annual Meeting, Miami Beach, Nov. 2–7 (1985), paper no. 58f.Google Scholar
  18. [18]
    P.L. Slis, TH.W. Willemse and H. Kramers, The response of the level of a liquid fluidised bed to a sudden change in the ffuidising velocity, Appl. Sci. Res., A8 (1959), pp. 209–217.CrossRefGoogle Scholar
  19. [19]
    G.B. Wallis, One-dimensional waves in two-component flow (with particular reference to the stability of fluidised beds), United Kingdom Atomic Energy Authority, Report AEEW-R162 (1962).Google Scholar
  20. [20]
    G.B. Wallis, One-dimensional two-phase flow, McGraw-Hill, New York (1979).Google Scholar
  21. [21]
    R.H. Wilhelm and M. Kwauk, Fluidisation of solid particles, Chem. Engng. Prog., 44 (1948), pp. 201–218.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1990

Authors and Affiliations

  • Larry Gibilaro
    • 1
  • Piero Foscolo
    • 2
  • Renzo Di Felice
    • 2
  1. 1.Department of Chemical and Biochemical EngineeringUniversity College LondonLondonUK
  2. 2.Dipartimento di Chimica, Ingegneria Chimica e MaterialeUniversita di L’AquilaL’AquilaItaly

Personalised recommendations