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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Volume 62, Issue 1, Pages 32–42
DOI: https://doi.org/10.15372/PMTF20210104
(Mi pmtf205)
 

This article is cited in 2 scientific papers (total in 2 papers)

Self-similar solutions of the problem of polytropic gas flow from an oblique wall to vacuum

S. P. Bautin, E. I. Pon'kin

Snezhinsk Institute of Physics and Technology – Branch of the National Research Nuclear University (MEPhI), 456776, Snezhinsk, Russia
Abstract: In the space of self-similar variables, two-dimensional flows of a polytropic gas are constructed in the form of solutions of the corresponding characteristic Cauchy problems of the standard type, which can be represented in the form of endless series. The convergence of the series is proved, and a procedure for constructing the coefficients of the series is described. It is found that in one particular case, the series breaks off and coincides with the well-known analytical solution that was used by V. A. Suchkov to describe gas flow from an oblique wall into vacuum and by A. F. Sidorov to describe unlimited compression of prismatic gas volumes. It is shown that unlimited compression of the gas flow is by impermeable pistons moving according to different laws possible, and the gas-dynamic flow parameters are studied. Highly nonuniform pressure distribution during compression of prismatic targets was obtained.
Keywords: equations of gas dynamics, self-similar variables, characteristic Cauchy problem, gas flow into vacuum, unlimited gas compression.
Received: 28.09.2020
Revised: 20.11.2020
Accepted: 30.11.2020
English version:
Journal of Applied Mechanics and Technical Physics, 2021, Volume 62, Issue 1, Pages 27–37
DOI: https://doi.org/10.1134/S0021894421010041
Bibliographic databases:
Document Type: Article
UDC: 532.5+519.673
Language: Russian
Citation: S. P. Bautin, E. I. Pon'kin, “Self-similar solutions of the problem of polytropic gas flow from an oblique wall to vacuum”, Prikl. Mekh. Tekh. Fiz., 62:1 (2021), 32–42; J. Appl. Mech. Tech. Phys., 62:1 (2021), 27–37
Citation in format AMSBIB
\Bibitem{BauPon21}
\by S.~P.~Bautin, E.~I.~Pon'kin
\paper Self-similar solutions of the problem of polytropic gas flow from an oblique wall to vacuum
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2021
\vol 62
\issue 1
\pages 32--42
\mathnet{http://mi.mathnet.ru/pmtf205}
\crossref{https://doi.org/10.15372/PMTF20210104}
\elib{https://elibrary.ru/item.asp?id=44746881}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2021
\vol 62
\issue 1
\pages 27--37
\crossref{https://doi.org/10.1134/S0021894421010041}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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