ISSN 2658–5782
DOI 10.21662
Electronic Scientific Journal


© Институт механики
им. Р.Р. Мавлютова
УФИЦ РАН

Яндекс.Метрика web site traffic statistics

Bashirova K.I. On the distortion of transmitted and reflected shock waves when interacting with a layer of a granular medium. Multiphase Systems. 15 (2020) 3–4. 223–227 (in Russian).
2020. Vol. 15. Issue 3–4, Pp. 223–227
URL: http://mfs.uimech.org/mfs2020.3.134
DOI: 10.21662/mfs2020.3.134
On the distortion of transmitted and reflected shock waves when interacting with a layer of a granular medium
Bashirova K.I.
Ufa state aviation technical university, Ufa

Abstract

A model of a shock tube has been prepared to study the behavior of a shock wave in a curved layer of light elastic granular particles located in the center of the tube. For the given problem, a standard mathematical model is written for a two-phase system, consisting of equations of continuity, state and energy, as well as an equation for the force of interphase interaction. Computational experiments were made using the OpenFOAM package. The prepared model allowed to carry out simulations for pressure between 3×105 Pa and 105 Pa and concentration of particles 20%, which creates a shock wave. Pressure distributions were obtained at different times in different sections before and after passing through the curved layer, as well as velocity profiles in similar sections. Numerical experiments have shown that the curvature of the layer of granular particles leads to significant scattering of the wave. In addition, significant changes in the wave front were revealed in the near-wall regions after the passage of a layer of granular medium. The redistribution of the fluid flow in the near-wall region is caused by the curvature of the lower boundary of the particle layer.

Keywords

shock waves,
granular layer,
wave scattering,
numerical simulation

References

  1. Arun K.R., Pathak V. Shock wave mitigation using zig-zag structures and cylindrical obstructions // Defence Technology. 2020. 12 p.
    DOI: 10.1016/j.dt.2020.10.001
  2. Kedrinsky V. K. Shock waves in liquid with gas bubbles // Combustion, explosion, and shock waves. 1980. V. 16, No. 5. Pp. 14–25.
    eLIBRARY ID: 35463272
  3. Britain A., Ben-Dor G. Shock tube study of the dunamical behavior of granular materials // International Journal of Multiphase Flow. 2006. V. 32. Pp. 623–642.
    DOI: 10.1016/j.ijmultiphaseflow.2006.01.007
  4. Fedgun V.R, Karinski Y.S., Yankelevsky D.Z. A two-phase model to simulate the 1-D shock wave propagation in porous metal foam // International Journal of Impact Engineering. 2015. V. 82. Pp. 113–129.
    DOI: 10.1016/j.ijimpeng.2015.03.012
  5. Mikhaylenko C.I., Kuleshov V.S. Mathematical modeling of velocity non-uniformity of gas flow behind a porous barrier // Computational technologies. 2015. V. 20, No. 6. Pp. 46–58 (in Russian).
    eLIBRARY ID: 25408686
  6. Bashirova K.I., Mikhaylenko C.I. Three-dimensional modeling of a shock tube in the OpenFOAM package // Bulletin of Bashkir University. 2018. V. 23, No. 3. Pp. 621–626 (in Russian).
    eLIBRARY ID: 36476517
  7. Bashirova K.I., Mikhaylenko C.I. Reflection of a shock wave from a layer of a finely dispersed medium of low concentrations // Multiphase systems. 2019. V. 14, No. 4. Pp. 279–283 (in Russian).
    DOI: 10.21662/mfs2019.4.036
  8. Bashirova K.I., Mikhaylenko C.I. Reflection of a shock wave from a finely dispersed medium of low concentrations // Journal of Physics: Conference Series. XXXVI Siberian Thermophysical Seminar (STS 36). 2020. V. 1677. 012051.
    DOI: 10.1088/1742-6596/1677/1/012051
  9. Mikhaylenko C.I., Valeeva Yu.R. Highly dispersed medium sedimentation from air under pressure forces // Numerical methods and Programming. 2013. V. 14. Pp. 328–33.
    eLIBRARY ID: 21014483
  10. Bagnold, R.A. Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear // Proc. R. Soc. Lond. 1954. V. 225. Pp. 49–63.
    DOI: 10.1098/rspa.1954.0186