Research Article | OPEN ACCESS
Spherical Shock-wave-2D Surface Interaction
1Pavel Viktorovich Bulat, 2Mikhail Vladimirovich Silnikov and 2Mikhail Viktorovich Chernyshev
1University ITMO, Kronverksky pr., 49, Saint-Petersburg, 197101, Russia
2Saint-Petersburg State Politechnical University, 29 Politekhnicheskaya Str.,
Saint-Petersburg 195251, Russia
Research Journal of Applied Sciences, Engineering and Technology 2015 6:428-433
Received: October 12, 2014 | Accepted: November 10, 2014 | Published: February 25, 2015
Abstract
The purpose of research is the study of the transformation of the shock-wave configuration, caused by the reflection of a spherical shock wave from a flat surface. The blast of HE charge heightened over earth surface leads to formation of shock-wave triple configuration. In spite of static pressure equality of gas streams after the different wave sequences, the velocities, densities and other flow parameters are not equal. In view of the fact that flow velocities are sufficiently different, wind loads on objects subjected to blast wave action differ also. So blast shock wave hazard degree (in particular, for human organism at body translation) depends on both object and HE charge blast height. The mathematical model to calculate and analyze the propagating shock-wave triple configurations occurring at the heightened blast is provided in this study. The model is useful for calculation and comparison of the velocities and dynamic pressures of the streams behind the different sequences of shock waves in the triple configuration, i.e., it allows us to estimate the basic parameters characterizing the tertiary blast wave hazards.
Keywords:
Dynamic pressure , heightened blast , triple configuration,
References
-
Arnold, V.I., 1976. Wave front evolution and equivariant morse lemma. Commun. Pure Appl. Math., 29(6): 557-582.
CrossRef -
Arnold, V.I., 1978. Additional Chapters of the Theory of Common Differential Equations. Book for Students of Physics and Mathematician Specialties at Universities. Publishing House 'Nauka', Moscow.
-
Arnold, V.I., 1996. Fundamental caustic and wave fronts. M. Fazis, pp: 334.
-
Arnold, V.I. and A.B. Givental, 1985. Simplectic Geometry. Dynamic Systems-4, Results of Science and Techn. Ser. Modern Probl. of Math. Fundamental Directions. VINITI, ?oscow, 4: 135.
-
Arnold, V.I., A. Varchenko and S. Gusein-Zade, 1982. Features of Differential Reflections. Vol. 1. Classification of Critical Points, Caustics and Wave fronts. Publishing House “Nauka”, ?oscow, pp: 304, Vol. 2, Monodromy and Asymptotics of Integrals. Publishing House “Nauka”, ?oscow, pp: 334.
-
Arutyunyan, G.M. and L.V. Karchevsky, 1973. Reflected Shock-waves. Publishing House “Mashinostroenie”, ?oscow, pp: 376.
-
Balagansky, I.A. and L.A. Merzhievsky, 2004. Effect of Weapons and Ammunition. Publishing House of NGTU, Novosibirsk, pp: 408.
-
Bazhenova, ?.V. and L.G. Gvozdeva, 1977. Non-stationary Interactions of Shock-waves. Publishing House “Nauka”, ?oscow, pp: 276.
-
Gelfand, B.E. and M.V. Silnikov, 2003. Chemical and Physical Blasts. Parameters and Control. Publishing House “Poligon”, SPb., pp: 416.
-
Gelfand, B.E. and M.V. Silnikov, 2006. Explosion Safety. Publishing House “Asterion”, SPb., pp: 392.
-
Hadjadj, A., A.N. Kudryavtsev, M.S. Ivanov, 2004. Numerical investigation of shock-reflection phenomena in over expanded supersonic jets. Shock Waves, 42(3): 570-577.
-
Henrych, J., 1979. The Dynamics of Explosion and its Use. Elsevier, Amsterdam, pp: 562.
-
Mach, E., 1878. Uber den verlauf von funkenwellen in der ebene und im Raume. Sitzungsbr. Akad. Wiss. Wien, Bd., 78: 819-838.
-
Omel’chenko, A.V., V.N. Uskov and M.V. Chernyshev, 2003. An approximate analytical model of flow in the first barrel of an over expanded jet. Tech. Phys. Lett., 29(3): 243-245.
-
Smith, L.G., 1945. Photographic investigations of the reflection of plane shocks in air. Office of Scientific Research and Development. Report No. 6271.
-
Tao, G., V.N. Uskov and M.V. Chernyshov, 2005. Optimal triple configurations of stationary shocks Shock Waves. Proceeding of the 24th International Symposium on Shock Waves. Tsinghua University Press and Springer-Verlag, Beijing, China, 1: 499-504.
-
Uskov, V.N., 2000. Progressing One-dimensional Waves. Publishing House of BGTU “Voenmekh”, SPb., pp: 224.
-
Uskov, V.N. and M.V. Chernyshov, 2006. Special and extreme triple shock-wave configurations. J. Appl. Mech. Tech. Phy., 47(4): 492-504.
-
Uskov, V.N. and P.S. Mostovykh, 2008. Triple configurations of traveling shock waves in inviscid gas flows. J. Appl. Mech. Tech. Phy., 49(3): 347-353.
-
Uskov, V.N., A.L. Adrianov and A.L. Starykh, 1995. Interference of stationary gas-dynamic discontinuities. VO "Nauka, Novosibirsk, Russia, pp: 180.
CrossRef -
White, D.R., 1951. An experimental survey of the Mach reflection of shock waves. Department of Physics, Princeton University, Technical Report II-10, Princeton, N.J., USA.
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.
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