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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1998, Volume 39, Issue 2, Pages 10–19 (Mi pmtf3240)  

This article is cited in 3 scientific papers (total in 3 papers)

The shock-wave structure in a two-velocity mixture of compressible media with different pressures

A. A. Zhilin, A. V. Fedorov

Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Full-text PDF (752 kB) Citations (3)
Abstract: The problem of the shock-wave structure in a mixture of two compressible media with different velocities and pressures of components is considered. The problem is reduced to solving a boundary-value problem for two ordinary differential equations that describe the velocity relaxation and pressure equalization of the components. Using methods of the qualitative theory of dynamic systems on a plane, the existence and uniqueness of four types of waves are shown: (a) fully dispersed waves; (b) frozen-dispersed waves; (c) dispersed-frozen waves; (d) frozen waves of two-front configuration. A chart of solutions of the corresponding flow types is constructed in the plane of the following parameters: the initial velocity of the mixture and the initial volume concentration of one of the components. The numerical calculations conducted illustrate the obtained analytical structures of the shock wave. It is shown that the results obtained using the suggested mathematical model are in agreement with experimental data on the dependence of the velocity of the dispersed shock wave on the equilibrium pressure behind the shock-wave front for a mixture of silica sand and water.
Received: 06.06.1996
Accepted: 19.07.1996
English version:
Journal of Applied Mechanics and Technical Physics, 1998, Volume 39, Issue 2, Pages 166–174
DOI: https://doi.org/10.1007/BF02468081
Document Type: Article
UDC: 532.529
Language: Russian
Citation: A. A. Zhilin, A. V. Fedorov, “The shock-wave structure in a two-velocity mixture of compressible media with different pressures”, Prikl. Mekh. Tekh. Fiz., 39:2 (1998), 10–19; J. Appl. Mech. Tech. Phys., 39:2 (1998), 166–174
Citation in format AMSBIB
\Bibitem{ZhiFed98}
\by A.~A.~Zhilin, A.~V.~Fedorov
\paper The shock-wave structure in a two-velocity mixture of compressible media with different pressures
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1998
\vol 39
\issue 2
\pages 10--19
\mathnet{http://mi.mathnet.ru/pmtf3240}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1998
\vol 39
\issue 2
\pages 166--174
\crossref{https://doi.org/10.1007/BF02468081}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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