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Fluidization of a granular medium in a viscous fluid under vertical vibration

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Abstract

The dynamics of a granular medium in a cavity filled with incompressible viscous fluid under harmonic vertical vibration are studied experimentally. The sand is fluidized in a relatively thin sublayer of the granular layer near the interface between the media. The fluidization is of the threshold type and is accompanied by intense parametric oscillations of the interface. For viscous fluids, the transition of the sand from a quasi-solid to a fluidized state and the reverse transition associated with a decrease in the oscillation rate occur with hysteresis. The nondimensional governing parameters determining the sand dynamics are established. The analysis is focused on the case of low nondimensional frequencies.

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References

  1. M. Faraday, “On a peculiar class of acoustic figures: and on certain forms assumed by groups of particles upon vibrating elastic surfaces,”Phy. Trans. Roy. Soc. London,52, 299–340 (1831).

    Article  Google Scholar 

  2. I. I. Blekhman,What Can Vibration Do?: On “Vibrational Mechanics” and Vibrational Engineering, Nauka, Moscow (1988).

    Google Scholar 

  3. H. M. Jaeger, S. R. Nagel, and R. P. Behringer, “Granular solids, liquids, and gases,”Rev. Modern Phys.,68, No. 4, 1259 (1996).

    Article  ADS  Google Scholar 

  4. H. K. Pak, E. Van Doorn, and R. P. Behringer, “Effects of ambient gases on granular materials under vertical vibration,”Phys. Rev. Letters,74, No. 23, 4643 (1995).

    Article  ADS  Google Scholar 

  5. B. Thomas, M. O. Mason, Y. A. Liu, and A. M. Squires, “Identifying states in shallow vibrated beds,”Powder Techn.,57, No. 4, 267 (1989).

    Article  Google Scholar 

  6. S. Douady, S. Fauve, and C. Laroche, “Subharmonic instabilities and defects in a granular layer under vertical vibrations,”Europhys. Letters,8, No. 7, 621 (1989).

    Article  ADS  Google Scholar 

  7. F. Melo, P. Unambanhowar, and H. L. Swinney, “Transition to parametric wave patterns in a vertically oscillated granular layer,”Phys. Rev. Letters,72, No. 1, 172 (1994).

    Article  ADS  Google Scholar 

  8. H. L. Swinney and P. B. Umbanhowar, “Stripes, squares, hexagons, and localized structures in vertically vibrated granular layers,” In:Proc. 3-d Intern. Conf. on Micromech. Powders and Grains, Durham, 1997, Balkema, Rotterdam (1997), p. 369–372.

    Google Scholar 

  9. S. Luding, “Surface waves and pattern formation in vibrated granular beds,” In:Proc. 3-d Intern. Conf. on Micromech. Powders and Grains, Durham, 1997, Balkema, Rotterdam (1997), p. 373–376.

    Google Scholar 

  10. V. G. Kozlov, “Experimental investigation of vibrational convection in pseudoliquid layer,” In:Hydromechanics and Heat/Mass Transfer in Microgravity: Reviewed Proc. 1-st Intern. Symp. on Hydromech. and Heat/Mass Transfer in Microgravity, Perm; Moscow, Russia, 1991, Gordon and Breach, Amsterdam (1992), p. 57–61.

    Google Scholar 

  11. V. G. Kozlov, A. A. Ivanova, and P. Evesque, “Granular material dynamics in modulated force field: Experiments,” In:Proc. 10-th Joint Europ. and Russian Symp. on Phys. Sci. in Microgravity. St. Petersburg, Russia, 1997, Inst. Probl. Mech. RAS, Moscow (1997), p. 237–244.

    Google Scholar 

  12. V. G. Kozlov, A. A. Ivanova, and P. Evesque, “Sand behavior in a cavity with incompressible liquid under vertical vibrations,”Europhys. Lett.,42, No. 4, 413 (1998).

    Article  ADS  Google Scholar 

  13. A. A. Ivanova, “Instability of a sand-fluid interface under vertical vibrations,” (in press).

  14. E. Van Doorn, and R. P. Behringer, “Wavy instability in shaken sand,” In:3-d Intern. Conf. on Micromech. Powders and Grains, Durham, 1997, Balkema, Rotterdam (1997), p. 397–400.

    Google Scholar 

  15. J. Miles and D. Henderson, “Parametrically forced surface waves,”Ann. Rev. Fluid Mech.,22, 143 (1990).

    Article  ADS  Google Scholar 

  16. A. A. Ivanova and V. G. Kozlov, “Vibrational-gravitational convection in a horizontal cylindrical layer.” In:Convective Flows (Ed. E. M. Zhukhovitskii) [in Russian], Perm’ Ped. Inst., Perm’ (1985), p. 45–57.

    Google Scholar 

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Perm’, Paris. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 113–122, May–June, 2000.

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Ivanova, A.A., Kozlov, V.G. & Evesque, P. Fluidization of a granular medium in a viscous fluid under vertical vibration. Fluid Dyn 35, 406–413 (2000). https://doi.org/10.1007/BF02697754

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  • DOI: https://doi.org/10.1007/BF02697754

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