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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 5, Pages 28–35 (Mi pmtf1789)  
Class of differentially invariant solutions of the submodel of axisymmetric flows of an ideal gas

V. Potyakov

Ufa State Aviation Technical University, Ufa, 450000, Russia
Full-text PDF (194 kB)
Abstract: A class of differentially invariant solutions of a problem with the pressure independent of the radial coordinate is considered for a submodel of steady axisymmetric flows of a polytropic gas. The overdetermined system turns out to be compatible and is integrated. All solutions defining transonic and supersonic flows with a limiting surface are found. These solutions are compared with invariant solutions obtained previously.
Keywords: axisymmetric gas flow, separation of variables, differentially invariant solutions.
Received: 07.11.2007
Accepted: 18.08.2008
English version:
Journal of Applied Mechanics and Technical Physics, 2009, Volume 50, Issue 8, Pages 754–759
DOI: https://doi.org/10.1007/s10808-009-0103-1
Bibliographic databases:
Document Type: Article
UDC: 533
Language: Russian
Citation: V. Potyakov, “Class of differentially invariant solutions of the submodel of axisymmetric flows of an ideal gas”, Prikl. Mekh. Tekh. Fiz., 50:5 (2009), 28–35; J. Appl. Mech. Tech. Phys., 50:8 (2009), 754–759
Citation in format AMSBIB
\Bibitem{Pot09}
\by V.~Potyakov
\paper Class of differentially invariant solutions of the submodel of axisymmetric flows of an ideal gas
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 5
\pages 28--35
\mathnet{http://mi.mathnet.ru/pmtf1789}
\elib{https://elibrary.ru/item.asp?id=12902561}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 8
\pages 754--759
\crossref{https://doi.org/10.1007/s10808-009-0103-1}
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