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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 2, Pages 46–52 (Mi pmtf1715)  

Galilean-invariant axisymmetric self-similar submodel of gas dynamics without swirling

S. V. Khabirov

Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, Ufa, 450054, Russia
Abstract: This paper deals with one insufficiently studied submodel of invariant solutions of rank 1 of the equations of gas dynamics. It is shown that, in cylindrical coordinates, the submodel without swirling reduces to a system of two ordinary differential equations. For the equation of state with additional invariance, a self-similar system is obtained. A pattern of phase trajectories is constructed, and particle motion is studied using asymptotic methods. The obtained solutions describe unsteady flows over axisymmetric bodies with possible strong discontinuities.
Keywords: gas dynamics, invariant submodel, strong discontinuities.
Received: 04.06.2008
Accepted: 11.09.2008
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 2, Pages 207–212
DOI: https://doi.org/10.1007/s10808-009-0028-8
Bibliographic databases:
Document Type: Article
UDC: 533
Language: Russian
Citation: S. V. Khabirov, “Galilean-invariant axisymmetric self-similar submodel of gas dynamics without swirling”, Prikl. Mekh. Tekh. Fiz., 50:2 (2009), 46–52; J. Appl. Mech. Tech. Phys., 50:2 (2009), 207–212
Citation in format AMSBIB
\Bibitem{Kha09}
\by S.~V.~Khabirov
\paper Galilean-invariant axisymmetric self-similar submodel of gas dynamics without swirling
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 2
\pages 46--52
\mathnet{http://mi.mathnet.ru/pmtf1715}
\elib{https://elibrary.ru/item.asp?id=11839327}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 2
\pages 207--212
\crossref{https://doi.org/10.1007/s10808-009-0028-8}
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