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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 87))

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Abstract

The stability of the state of “isothermal” homogeneous fluidization to small amplitude “non-isothermal” disturbances is analyzed. A new general expression for particle phase pressure based on dimensional arguments is proposed and the dispersion relation governing the growth and propagation characteristics of the disturbances is derived.

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References

  1. Anderson, T. B. and Jackson, R. Fluid mechanical description of fluidized beds-stability of the state of uniform fluidization. Indust. Engng. Chem. Fundam., 7, 12–21, 1968.

    Google Scholar 

  2. Anderson, K., Sundaresan, S. and Jackson, R. Instabilities and the formation of bubbles in fluidized beds. J. Fluid Mech., 303, 327–366, 1995.

    Google Scholar 

  3. Batchelor, G. K. A new theory of the instability of a uniform fluidized bed. J. Fluid Mech., 193, 75–110, 1988.

    Google Scholar 

  4. Didwania, A. K. and de Boer, R. Saturated Compressible and Incompressible Porous Solids: Macro-and Micromechanical Approaches. Transport in Porous Media, 34, 101–115, 1999.

    Article  Google Scholar 

  5. Didwania, A. K. New Beltrami type solutions to continuum equations for fluidization and their stability. Physica D, 84, 532–544, 1995.

    Article  Google Scholar 

  6. Didwania, A. K. and Homsy, G. M. Flow regimes and flow transitions in liquid fluidized beds. Intl. J. Multiphase Flow, 7, 563–580, 1981.

    Article  Google Scholar 

  7. Didwania, A. K. and Homsy, G. M. Resonant side-band instabilities in wave propagation in fluidized beds. J. Fluid Mech., 122, 433–438, 1982.

    Google Scholar 

  8. Drew, D. A. and Segel, L. A. Averaged equations for two-phase flows. Studies in Appl. Math., 50, 205–231, 1971.

    Google Scholar 

  9. Garg, S. K. and Pritchett, J. W. Dynamics of Gas-fluidized beds. J. Appl. Phys., 46, 4493–4500, 1975.

    Google Scholar 

  10. Glasser, B. J., Kevrekidis, I. G. and Sundaresan, S. One and two dimensional travelling wave solutions in gas-fluidized beds. J. Fluid Mech., 306, 183–221, 1996.

    Google Scholar 

  11. Homsy, G. M. Nonlinear Waves and the Origin of Bubbles in Fluidized Beds. Appl. Sci. Res., 58, 251–274, 1998.

    Google Scholar 

  12. Homsy, G. M., El-Kaissy, M. M. and Didwania, A. K. Instability waves and the origin of bubbles in fluidized beds. Part II. Comparison with theory. Intl. J. Multiphase Flow, 6, 305–318, 1980.

    Article  Google Scholar 

  13. Koch, D. L. Kinetic theory for a monodisperse gas-solids suspension. Phys. Fluids A, 2, 1711–1723, 1990.

    Google Scholar 

  14. Savage, S. B. Analyses of slow high-concentration flows of granular materials. J. Fluid Mech., 377, 1–26, 1998.

    Article  Google Scholar 

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© 2001 Kluwer Academic Publishers

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Didwania, A.K. (2001). Packed-to-fluidized Bed Transition and Origin of Particle-free Regions. In: Ehlers, W. (eds) IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials. Solid Mechanics and Its Applications, vol 87. Springer, Dordrecht. https://doi.org/10.1007/0-306-46953-7_10

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  • DOI: https://doi.org/10.1007/0-306-46953-7_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6766-6

  • Online ISBN: 978-0-306-46953-4

  • eBook Packages: Springer Book Archive

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