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).
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.
Keywordsshock waves,
granular layer,
wave scattering,
numerical simulation
References
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
