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Resonant sideband instabilities in wave propagation in fluidized beds

Published online by Cambridge University Press:  20 April 2006

A. K. Didwania  and
G. M. Homsy
A. K. Didwania
Affiliation:
Department of Chemical Engineering, Stanford University, Stanford, CA 94305
G. M. Homsy
Affiliation:
Department of Chemical Engineering, Stanford University, Stanford, CA 94305
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Abstract

We consider possible mechanisms for the observed secondary instability of travelling instability waves in liquid fluidized beds. The resonance conditions for quadratic nonlinear interaction are solved in the long-wave limit by perturbation theory. The estimated horizontal wavenumber of the resonant sideband agrees well with experiment and supports the proposed mechanism.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 122 , September 1982 , pp. 433 - 438
Copyright
© 1982 Cambridge University Press

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References

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.Google Scholar
Benjamin, T. B. & Feir, J. E. 1967 The disintegration of wave trains on deep water. Part 1. Theory. J. Fluid Mech. 27, 417–430.Google Scholar
Didwania, A. K. & Homsy, G. M. 1981 Flow regimes and flow transitions in liquid fluidized beds. Int. J. Multiphase Flow 7, 563–580.Google Scholar
El-Kaissy, M. M. & Homsy, G. M. 1976 Instability waves and the origin of bubbles in fluidized beds. Part 1. Experiments. Int. J. Multiphase Flow 2, 379–395.Google Scholar
Homsy, G. M., El-Kaissy, M. M. & Didwania, A. K. 1980 Instability waves and the origin of bubbles in fluidized beds. Part 2. Comparison with theory. Int. J. Multiphase Flow 6, 305–318.Google Scholar
Jackson, R. 1963 The mechanics of fluidized beds. Part 1. the stability of the state of uniform fluidization. Trans. Instn Chem. Engrs 41, 13–21.Google Scholar
Phillips, O. M. 1974 In Non-Linear Waves (ed. S. Leibovich & A. R. Seebas), pp. 186–211. Cornell University Press.
Pigford, R. L. & Baron, T. 1965 Hydrodynamic stability of a fluidized bed. Ind. Engng Chem. Fundam. 1, 81–87.Google Scholar