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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 2, Pages 46–52
(Mi pmtf1715)
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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
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
Linking options:
https://www.mathnet.ru/eng/pmtf1715 https://www.mathnet.ru/eng/pmtf/v50/i2/p46
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Abstract page: | 29 | Full-text PDF : | 26 |
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