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., Mikhaylenko C.I. Shock wave reflection from a layer of a finely dispersed medium with low concentrations. Multiphase Systems. 14 (2019) 4. 279–283 (in Russian).
2019. Vol. 14. Issue 4, Pp. 279–283
URL: http://mfs.uimech.org/mfs2019.4.036,en
DOI: 10.21662/mfs2019.4.036
Shock wave reflection from a layer of a finely dispersed medium with low concentrations
Bashirova K.I.∗, Mikhaylenko C.I.∗∗
∗Ufa State Aviation Technical University, Ufa, Russia
∗∗Mavlyutov Institute of Mechanics UFRC RAS, Ufa, Russia

Abstract

The paper investigates the propagation of a shock wave when interacting with a loosely packed granular medium. The continuous two-phase mathematical model presented in this work allows one to numerically describe the propagation of a shock wave in the channel of a shock tube, the achievement of a layer of granular filling by the shock wave, and the reflection of the wave. It was shown that the granular medium partially transmits the shock wave, but mostly corresponds to it. This reflection differs from the reflection of a shock wave from a solid wall. The nature of the reflection of the shock wave depends on the density of the granules. In particular, it has been shown that a granular medium of lower density, due to the increased mobility of individual particles, leads to some amplification of the reflected wave. It is also shown that the reflected wave in this case forms two pronounced peaks. It should be noted that the pressure passed in the layer of the granular medium, on the contrary, turns out to be the greater, the heavier the particles of the granular medium.

Keywords

multiphase systems,
granular media,
shock waves,
mathematical modeling,
OpenFOAM

References

  1. Kedrinskii V.K. Shock waves in a liquid containing gas bubbles // Combustion, Explosion, and Shock Waves. 1980. V. 16. No 5. Pp. 495-504.
    https://elibrary.ru/item.asp?id=35463272
  2. Parkin B.R., Gilmore F.R., Brode G.A. Shock waves in bubble water. Memorandum RM-2795-PR. Abridged. 1961.
  3. Gubajdullin A.A., Kutrunov A.V., Rustyumova O.Sh., Yakovleva T.N. [Some questions of the wave dynamics of a liquid with gas bubbles] Nekotorye voprosy volnovoj dinamiki zhidkosti s puzyr’kami gaza // Itogi issledovanij. Tyumen. 1994. Pp. 23–31.
  4. Britan A., Ben-Dor G., Shapiro H., Liverts M., Shreiber I. Drainage effects on shock wave propagating through aqueous foams // Colloids and Surfaces A: Physicochem. Eng. Aspects. 2007. V. 309. Pp. 137–150.
    DOI: 10.1016/j.colsurfa.2007.01.018
  5. Nigmatulin R.I. Dynamics of Multiphase Media. Vol 1 & 2. Hemisphere Publ. Corp New York, United States. 1990. 507 p.
  6. Fedorov, A.V., Fedorchenko, I.A., Vasilishin, M.S., Karpov, A.G., Ivanov, O.S. Calculation of expansion of a packed bed of a disperse material subjected to pulsed fluidization // Journal of Applied Mechanics and Technical Physics. 2012. Vol. 53, No. 3. P. 397-407.
    DOI: 10.1134/S0021894412030121
  7. Mikaylenko C.I., Kuleshov V.S. Numerical modelling of inhomogeneity scale of a flow rate behind the porous barrier // Computational Technologies. 2015. V. 20, No 6. Pp. 46–58 (in Russian).
    https://elibrary.ru/item.asp?id=25408686
  8. Mikhailenko С.I., Valeeva Yu.R. Highly dispersed medium sedimentation from air under pressure forces // Numerical methods and programming. 2013. V. 14, No 1. Pp. 328–333 (in Russian).
    https://elibrary.ru/item.asp?id=21014483
  9. Bashirova K.I., Mikhaylenko C.I. Three-dimensional simulation of a shock tube with OpenFOAM software // Vestnik Bashkirskogo universiteta (Bulletin of Bashkir University). 2018. V. 23, No 3. Pp. 621–626 (in Russian).
    https://elibrary.ru/item.asp?id=36476517