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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 5, Pages 87–92 (Mi pmtf1953)  
Self-similar solutions of the problem of displacement of one gas by another in an axisymmetric case with a quadratic drag law

Yu. N. Gordeeva, A. E. Sandakova, Yu. L. Chizhovb

a Moscow Engineering Physics Institute (State University), Moscow, 115409, Russia
b Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia
Full-text PDF (218 kB)
Abstract: A problem of piston-induced displacement of one gas by another in cracks (porous media) in an axisymmetric case with a quadratic drag law is studied. Self-similar solutions for determining the dynamic characteristics (velocity and pressure) of the displacing and displaced gases are constructed in quadratures. The velocity and pressure are studied as functions of a self-similar variable for several initial conditions and parameters.
Keywords: self-similarity, displacement, gas, drag, crack, porous medium.
Received: 22.05.2007
Accepted: 13.09.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2008, Volume 49, Issue 5, Pages 776–780
DOI: https://doi.org/10.1007/s10808-008-0097-0
Bibliographic databases:
Document Type: Article
UDC: 532.546
Language: Russian
Citation: Yu. N. Gordeev, A. E. Sandakov, Yu. L. Chizhov, “Self-similar solutions of the problem of displacement of one gas by another in an axisymmetric case with a quadratic drag law”, Prikl. Mekh. Tekh. Fiz., 49:5 (2008), 87–92; J. Appl. Mech. Tech. Phys., 49:5 (2008), 776–780
Citation in format AMSBIB
\Bibitem{GorSanChi08}
\by Yu.~N.~Gordeev, A.~E.~Sandakov, Yu.~L.~Chizhov
\paper Self-similar solutions of the problem of displacement of one gas by another in an axisymmetric case with a quadratic drag law
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 5
\pages 87--92
\mathnet{http://mi.mathnet.ru/pmtf1953}
\elib{https://elibrary.ru/item.asp?id=19062390}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 5
\pages 776--780
\crossref{https://doi.org/10.1007/s10808-008-0097-0}
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