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An Ideal-Fluid Flow through a Stationary Granular Layer in the Presence of a Flat Wall

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Abstract

The problem of the flow of an ideal incompressible fluid is considered along a flat surface, perpendicular to which a stationary granular layer is located. The granular-layer model is adopted as the ensemble of an infinite number of identical spherical granules, which are statistically uniformly distributed in a layer of finite thickness. The problem is solved on the basis of the previously developed self-consistent field method. In the first approximation in the volume fraction of granules in the layer, the functions describing the ensemble-averaged fluid-velocity profile are obtained in analytical form both inside and outside the layer.

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REFERENCES

  1. R. I. Nigmatulin, Dynamics of Multiphase Media (New York: Hemisphere, 1990), vol. 1.

  2. M. A. Gol’dshtik, Transfer Processes in Granular Layer (ITF SO AN SSSR, Novosibirsk, 1984) [in Russian].

    Google Scholar 

  3. V. A. Kirillov, V. A. Kuz’min, V. I. P’yanov, and V. M. Khanaev, Dokl. Akad. Nauk SSSR 245 (1), 159 (1979).

    Google Scholar 

  4. A. A. Strizhov and V. Sh. Khalilov, Fluid Dynamics 29 (6), 745 (1994).

  5. U. Dalabaev, J. Eng. Phys. Thermophysics 70 (3), 379 (1997).

    Article  ADS  Google Scholar 

  6. H. Freund, T. Zeiser, F. Huber, et al., Chem. Eng. Sci. 58 (3–6), 903 (2003).

    Article  Google Scholar 

  7. I. V. Shirko and V. O. Parfus, Theor. Found. Chem. Eng. 38 (6), 592 (2004).

  8. M. Ouriemi, P. Aussillous, and E. Guazzelli, J. Fluid Mech. 636, 295 (2009).

    Article  ADS  MathSciNet  Google Scholar 

  9. K. I. Mikhailenko and V. S. Kuleshov, Comput. Technol. 20 (6), 46 (2015).

    Google Scholar 

  10. V. V. Struminskii, O. B. Gus’kov, and G. A. Korol’kov, Sov. Phys. Dokl. 31 (10), 787 (1986).

  11. O. B. Gus’kov and B. V. Boshenyatov, Dokl. Phys. 56 (6), 352 (2011).

    Article  ADS  Google Scholar 

  12. O. B. Gus’kov, Dokl. Phys. 57 (1), 29 (2012).

    Article  ADS  Google Scholar 

  13. O. B. Gus’kov, J. Appl. Math. Mech. 78 (2), 126 (2014).

  14. O. B. Gus’kov, J. Appl. Math. Mech. 81 (4), 325 (2017).

  15. G. K. Batchelor, J. Fluid Mech. 52 (2), 245 (1972).

    Article  ADS  Google Scholar 

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Funding

This work was conducted as part of a state assignment, state registration number of the topic AAAA-A19-119012290136-7.

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Authors and Affiliations

  1. Institute of Applied Mechanics, Russian Academy of Sciences, 125040, Moscow, Russia

    O. B. Gus’kov

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  1. O. B. Gus’kov
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Correspondence to O. B. Gus’kov.

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Translated by V. Bukhanov

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Gus’kov, O.B. An Ideal-Fluid Flow through a Stationary Granular Layer in the Presence of a Flat Wall. Dokl. Phys. 65, 94–99 (2020). https://doi.org/10.1134/S1028335820030076

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  • DOI: https://doi.org/10.1134/S1028335820030076

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