THE ATTENUATION of SPHERICAL SHOCK WAVES in HETEROGENEOUS MEDIA

Authors

  • N. L. Klinacheva South Ural State University
  • Y. M. Kovalev South Ural State University

DOI:

https://doi.org/10.14529/mmp170404

Keywords:

numerical procedure, mathematical model, conservation laws, Courant number.

Abstract

This article represents the analysis of the numerical investigation of the interaction of spherical shock waves (SW) with mechanical and thermal inhomogeneities located on a at surface. The results of the calculations showed that the presence of the mechanical and termal heterogeneity on a at surface of the heterogeneous layer leads to attenuation of the incident UV within this layer, depending on the volume fraction of the condensed phase. A suciently large volume fraction of the solid phase in the heterogeneous layer leads to the deformation of the head front to the SW and strong braking, with the result that reections from the wall hardly occurs and the leg of the Mach is not formed, however, whenα2 ≥ 5 · 10−2 it is formed over the surface of the heterogeneous layer. With the increase of the gas temperature in the heterogeneous layer the velocity (SW) increases while the intensity of its amplitude falls. The calculations given in this particular work showed that the increasing of the gas temperature in the layer promotes the increasing of the moment force acting on the lattice of solid substances. At high temperatures of the gas in the heterogeneous layer, despite power and heat interaction of gas and substances the precursor is formed.

Author Biographies

N. L. Klinacheva, South Ural State University

Candidate of Physico-Mathematical Sciences, Docent

Y. M. Kovalev, South Ural State University

Doctor of Physico-Mathematical Sciences, Professor

References

Ivandaev A.I, Kutushev A.G. [The Effect of the Shielding Layers of the Gas Suspension

on the Reffection of Shock Waves].Applied Mechanics and Technical Physics, 1985, no. 21,

pp. 115120. (in Russian)

Kruglikov B.S., Kugushev A.G. [The Attenuation of Air Shock Waves by Layers of Dusty Gas

and Lattices].Applied Mechanics and Technical Physics, 1988, no. 1, pp. 51-57. (in Russian)

Kruglikov B.S., Kutushev A.G. [The Weakening Of Shock Waves Louvers].Physics of

Combustion and Explosion, 1988, no. 1, pp. 115-117. (in Russian)

Ivandaev A.I., Kutushev A.G., Nigmatulin R.I. [Gas Dynamics of Multiphase Media. Shock

and Detonation Waves in Gas Suspensions].Itogi nauki i tehniki. Seriya: Mehanika zhidkosti

i gaza, 1981, vol. 16, pp. 209-287. (in Russian)

Kutushev A.G., Rudakov D.A. [Numerical Investigation of the Eect of a Shock Wave on an

Obstacle Screened by a Layer of Porous Powdery Medium].Applied Mechanics and Technical

Physics, 1993, no. 25, pp. 25-31. (in Russian)

Kovalev Yu.M., Cheremohov A.Yu. [The Attenuation of Air Shock Waves by a System

of Grids].Voprosy atomnoy nauki i tekhniki. Series: Mathematical Modelling of Physical

Processes, 1997, no. 3, pp. 39-43. (in Russian)

Belyaev P.E., Klinacheva N.L. Impact of Gas Suspension Shielding Layer on The Force

Effect of Shock Waves on a Rigid Wall.Bulletin of the South Ural State University. Series:

Mathematics. Mechanics. Physics, 2016, vol. 8, no. 4, pp. 4955. DOI: 10.14529/mmph160406

(in Russian)

Klinacheva N.L., Kovalev Yu.M., Kuropatenko V.F. Modied Mathematical Model of a

"Frozen" Gas Suspension.Journal of Engineering Physics and Termophysics, 2014, vol. 87,

no. 6, pp. 1456-1462. DOI: 10.1007/s10891-014-1150-x

Kovalev Yu.M., Kovaleva E.A. [Mathematical Analysis of the Conservation Equations of

Two-Phase Mixtures].Bulletin of the South Ural State University. Series: Mathematical

Modelling, Programming and Computer Software, 2014, vol. 7, no. 2, pp. 29-37.

DOI: 10.14529/mmp140202 (in Russian)

Andrushhenko V.A., Meshcheryakov M.V., Chudov L.A. [The Reection of Spherical Shock

Wave from the Plane When It Has a Layer of Heated Gas].Fluid Mechanics, 1990, no. 3,

pp. 141147. (in Russian)

Andrushhenko V.A., Meshcheryakov M.V. [The Interaction of Spherical Shock Waves with

Near-Surface Thermal Gas Inhomogeneities].Physics of Combustion and Explosion, 1990,

no. 1, pp. 77-82. (in Russian)

Antonov V.A., Grishin A.M., Kovalev Yu.M., Naymushina L.Yu. [Modelling of Explosion of

a Cord Charge in the Forest Canopy in the Absence of Fire].Physics of Combustion and

Explosion, 1993, no. 4, pp. 115-123. (in Russian)

Belocerkovskiy O.M., Davydov Yu.M.Metod krupnyh chastic v gazovoj dinamike[The

Method of Large Particles in Gas Dynamics], Moscow, Nauka, 1982.

Belocerkovskiy O.M., Davydov Yu.M. [Unsteady "Method of Large Particles" for Gas

Dynamics Calculations].Applied Mechanics and Technical Physics, 1971, no. 21, pp. 182-207.

(in Russian)

Grishin Yu.A., Zenkin V.A. Improving the Stability of the Numerical Algorithm of the

Method of Large Particles.Journal of Science and Education, 2011, no. 13, 5 p. Available at:

http://old.technomag.edu.ru/doc/221488.html

Kovalev Yu.M., Kovaleva E.A., Pigasov E.E. The Analysis of Some Modications of the

Large-Particles Method on the Basis of Research of Gas-Suspension Currents.Bulletin of the

South Ural State University. Series: Mathematics. Mechanics. Physics, 2015, vol. 7, no. 3,

pp. 71-77. (in Russian)

Published

2017-12-08

Issue

Section

Mathematical Modelling