Research Article | OPEN ACCESS
Gas-dynamic Discontinuity Conception
1Uskov Vladimir Nikolaevich, 1Pavel Viktorovich Bulat and 2Lyubov Pavlovna Arkhipova
1Saint-Petersburg National Research University of Information Technologies, Mechanics and Optics, Kronverksky Pr., 49, Saint-Petersburg 197101
2Saint Petersburg State University, Universitetsky Prospekt, 28, Peterhof,
St. Petersburg 198504, Russia
Research Journal of Applied Sciences, Engineering and Technology 2014 22:2255-2259
Received: September 13, 2014 | Accepted: October 17, 2014 | Published: December 15, 2014
Abstract
The aim of the study-to demonstrate the properties of the gas-dynamic discontinuity as a singularity the geometry of the Euler equations give on this basis, the definition of the intensity discontinuity. We have considered the gas-dynamic discontinuity conception. We demonstrated geometrical content of gas dynamics equation. The shock-wave process concept (as a transfer function of gas-dynamic variables space reorganization) was introduced. The basic types of gas-dynamic discontinuities: shock waves, compression shocks, centered depression and compression waves, contact discontinuities were considered. The discontinuity intensity concept was introduced. The basic formulae and discontinuity intensity calculation results were given.
Keywords:
Compression wave, shock wave, shock-wave structure, shock-wave process,
References
-
Adrianov, A.L., V.N. Uskov and A.L. Starykh, 1995. Interference of Stationary Gas-dynamic Discontinuities. Novosibirsk: Nauka, pp: 180.
-
Arkhipova, L.P., 2013. The concept of the intensity of the contact discontinuity. Science and technology. Proceeding of 33rd National Conference on Science and Technology, 4: 35.
-
Arnold, N.I., 1976. Wave front evolution and equivariant Morse lemma. Commun. Pur. Appl. Math., 29(6): 557-582.
CrossRef -
Arnold, N.I., 1990. Reconstructions of singularities of minimum functions and bifurcations of shock waves of the Burgers equation with vanishing viscosity. Leningrad Math. J., 1(4): 807-823.
-
Deitch, M.E., 1974. Technical Gas Dynamics. 3rd Edn., Revised, Energy, Moscow.
PMCid:PMC2109298 -
Kochin, N.E., I.A. Kibel and N.V. Rose, 1963. Theoretical Hydromechanics, Part 2. Physmathlit, Moscow, pp: 728.
-
Loitsyansky, L.G., 1978. Fluid Mechanics. 5th Edn., Revised, Physical and Mathematical Literature. Nauka, Moscow, pp: 736.
-
Uskov, V.N., 2000. Running One-dimensional Waves. BSTU Voenmeh, Saint-Petersburg.
-
Uskov, V.N. and P.S. Mostovykh, 2012. Differential characteristics of shock wave and triple-shock-wave configuration. Proceeding of 20th International Shock Interaction Symposium, pp: 211-214.
Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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ISSN (Print): 2040-7459 |
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