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Vestnik YuUrGU. Ser. Mat. Model. Progr., 2017, Volume 10, Issue 4, Pages 35–45 (Mi vyuru400)  

This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modelling

The attenuation of spherical shock waves in heterogeneous media

N. L. Klinacheva, Y. M. Kovalev

South Ural State University, Chelyabinsk, Russian Federation

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 flat surface. The results of the calculations showed that the presence of the mechanical and termal heterogeneity on a flat 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 sufficiently 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 reflections from the wall hardly occurs and the leg of the Mach is not formed, however, when $\alpha_{2}\geq 5\cdot 10^{-2}$ — 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.

Keywords: numerical procedure; mathematical model; conservation laws; Courant number.

DOI: https://doi.org/10.14529/mmp170404

Full text: PDF file (857 kB)
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Bibliographic databases:

UDC: 532.529:518.5
MSC: 76L05
Received: 25.08.2017

Citation: N. L. Klinacheva, Y. M. Kovalev, “The attenuation of spherical shock waves in heterogeneous media”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:4 (2017), 35–45

Citation in format AMSBIB
\Bibitem{KliKov17}
\by N.~L.~Klinacheva, Y.~M.~Kovalev
\paper The attenuation of spherical shock waves in heterogeneous media
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2017
\vol 10
\issue 4
\pages 35--45
\mathnet{http://mi.mathnet.ru/vyuru400}
\crossref{https://doi.org/10.14529/mmp170404}
\elib{http://elibrary.ru/item.asp?id=30752537}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. N. L. Klinacheva, Yu. M. Kovalev, “Vzaimodeistvie sfericheskikh udarnykh voln s pripoverkhnostnym geterogennym sloem s khimicheski aktivnoi gazovoi fazoi”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 11:3 (2018), 62–71  mathnet  crossref  elib
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