Nonlinear Waves in Fluidized Beds

  • D. G. Crighton
Part of the International Centre for Mechanical Sciences book series (CISM, volume 315)


This chapter deals briefly with the modelling, via nonlinear wave analysis, of voidage disturbances in fluidized beds. It is shown that, after an initial stage of linear instability, a first nonlinear stage arises in which the voidage perturbation is governed by a Burgers-Korteweg-de Vries equation with negative viscosity. Accordingly, the linear stage of instability of a fluidized bed is replaced by a nonlinear stage in which the voidage disturbances are represented by slowly amplifying KdV soliton pulses.


Drag Coefficient Nonlinear Wave Vries Equation Linear Instability Nonlinear Stage 
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  1. 1.
    Batchelor, G.K. 1988 “A new theory of the instability of a uniform fluidized bed”, J. Fluid Mech. 193, 75–110.CrossRefMATHMathSciNetGoogle Scholar
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    Needham, D.J. and Merkin, J.H. 1983 “The propagation of a voidage disturbance in a uniformly fluidized bed”,.J. Fluid Mech. 131, 427–454.Google Scholar
  3. 3.
    Drazin, P.G. and Johnson, R.S. 1989 “Solitons: an introduction”, Cambridge University Press.Google Scholar
  4. 4.
    Harris, S.E. and Crighton, D.G. 1991 “Solitons and other finite-amplitude wave effects in fluidized beds”, to be submitted to J. Fluid Mech.Google Scholar

Copyright information

© Springer-Verlag Wien 1991

Authors and Affiliations

  • D. G. Crighton
    • 1
  1. 1.University of CambridgeCambridgeUK

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