Home            Contact us            FAQs
    
      Journal Home      |      Aim & Scope     |     Author(s) Information      |      Editorial Board      |      MSP Download Statistics

     Research Journal of Applied Sciences, Engineering and Technology


Mach Reflection of a Shock Wave from the Symmetry Axis of the Supersonic Nonisobaric Jet

Bulat Pavel Viktorovich and Uskov Vladimir Nikolaevich
Saint-Petersburg National Research University of Information Technologies, Mechanics and Optics, Kronverksky pr., 49, Saint-Petersburg, 197101, Russia
Research Journal of Applied Sciences, Engineering and Technology  2014  1:135-142
http://dx.doi.org/10.19026/rjaset.8.951  |  © The Author(s) 2014
Received: March ‎29, ‎2014  |  Accepted: May ‎10, ‎2014  |  Published: July 05, 2014

Abstract

The purpose of the study is to determine the conditions of Mach disk (direct shock wave) in a supersonic nonisobaric jet. Brief details on shock waves triple configurations, Mach reflection of a shock wave from a rigid wall and the axis of symmetry are given. Various known semi-empirical model of calculating the Mach disc diameter in a supersonic jet and its removal from the nozzle are discussed. It is shown that the Mach disk in the jet is corresponded by the so-called stationary Mach shock waves triple configuration, in which the intensity of the main shock (Mach disk) is the maximum possible for a given Mach number. The theoretical and calculative-experimental validation of the Mach disk formation model in a supersonic non-isobaric jet is provided. The results of calculation are in satisfactory match with experiment.

Keywords:

A stationary mach configuration, irregular reflection of shock, mach disk, mach stem, the regular reflection of shock, the triple point, triple configuration of shock waves,


References

  1. Abbett, M.J., 1971. Mach disk in under expanded exhaust plumes. AIAA J., 9: 512-514.
    CrossRef    
  2. Arnold, N.I., 1976. Wave front evolution and equivariant Morse lemma. Commun. Pur. Appl. Math., 29(6): 557-582.
    CrossRef    
  3. Avduevsky, V.S., E.A. Ashratov, A.V. Ivanov and U.G. Pirumov, 1989. Gas Dynamics of Non-isobaric Supersonic Jets (In Russian). Mashinostroenie, Moscow, pp: 320.
  4. Belyaev, N.M. and V.A. Karteshkin, 1982. Study of parameters of the underexpanded jet of cold gas. DSU, Dnepropetrovsk, pp: 14.
  5. Bulat, P.V., O.N. Zasukhin and V.N. Uskov, 1993. Formation of the jet with a smooth launch of the Laval nozzle. Records of the I.P. Pavlov St. Petersburg State University, pp: 1-22.
  6. Bulat, P.V., N.V. Prodan and V.N. Uskov, 2012a. Ratione for the use of models of stationary mach configuration calculation of mach disk in a supersonic jet. Fund. Res., 11(1): 168-175.
  7. Bulat, P.V., O.N. Zasuhin and V.N. Uskov, 2012b. On classification of flow regimes in a channel with sudden expansion. Thermophys. Aeromech., 19(2): 233-246.
    CrossRef    
  8. Dash, S.M. and R.D. Thorpe, 1981. Shock-capturing model of one-and two- phase supersonic exhaust flow. AIAA J., 19: 842-851.
    CrossRef    
  9. Dash, S.M. and N. Sinha, 1985. Noninteractive cross-flow integration procedure for the pressure-split analysis of two dimensional, subsonic mixin problems. AIAA J., 23: 183-185.
    CrossRef    
  10. Dash, S.M., N. Sinha and B.J. York, 1985a. Implicit/explicit Analysis of Interactive Phenomena in Supersonic Chemically-reaching Mixing and Boundary Layer Problems. AIAA Paper 8517.
  11. Dash, S.M., J.M. Seiner and D.E. Wolf, 1985b. Analysis of turbulent underexpended jets. Part. 1: Parabolized navier stokes model, SCIPVIS. AIAA J., 23: 505-514.
    CrossRef    
  12. Melnikov, D.A., 1962. Reflections of shock waves from the axis of symmetry. Isv. SA USSR. Mech. Eng., 3: 24-30.
  13. Meshkov, V.R., A.V. Omelchenko and V.N. Uskov, 2002. Interaction of a shock wave with the counter propagating rarefaction wave. Vestn. Saint-Petersburg Univ., 2(9): 99-106.
  14. Omelchenko, A.V. and V.N. Uskov, 1995. Optimal shock-wave systems. RAS. Fluid Dynam., 6: 118-126.
  15. Omelchenko, A.V. and V.N. Uskov, 2002. Interference of unsteady oblique shock waves. JTPh Lett., 28(12): 5-12.
  16. Silnikov, M.V., M.V. Chernyshov and V.N. Uskov, 2014. Two-dimensional over-expanded jet flow parameters in supersonic nozzle lip vicinity. Acta Astronaut., 97: 38-41.
    CrossRef    
  17. Tao, G., 2000. Triple configurations of shocks in nonuniform supersonic flows. Ph.D. Thesis.
  18. Tao, G. and V.N. Uskov, 2000. Optimal triple shock wave configurations. Proceedings of 18th International Seminar, Saint-Petersburg, BSTU Voenmeh, pp: 76.
  19. Uskov, V.N. and M.V. Chernyshov, 2006. Special and extremal triple shock wave configurations. Appl. Mech. Tech. Phys., 47(4): 39-53.
    CrossRef    
  20. Uskov, V.N. and M.V. Chernyshov, 2008. Differential parameters of incident shock near the nozzle lip in the over expanded jet. Proceedings of 18th International Shock Interaction Symposium, pp: 109-112.
  21. Uskov, V.N. and P.S. Mostovykh, 2008. Triple configurations of travelling shock waves in flows of inviscid gas. Appl. Mech. Tech. Phys., 49(3): 3-10.
    CrossRef    
  22. Uskov, V.N. and P.S. Mostovykh, 2010. Interference of stationary and non-stationary shock waves. Shock Waves, 20(2): 119-129.
    CrossRef    
  23. Uskov, V.N. and P.S. Mostovykh, 2011. Triple-shock-wave configurations: comparison of different thermodynamic models for diatomic gases. Proceedings of 28th International Symposium on Shock Waves (ISSW 28, Manchester), Paper No 2597, pp: 1-7.
  24. Uskov, V.N. and P.S. Mostovykh, 2012. Differential Characteristics of shock wave and triple-shock-wave configuration. Proceedings of 20th International Shock Interaction Symposium, pp: 211-214.
  25. Uskov, V.N. and et al., 1995. Interference of stationary gas-dynamic discontinuities. VO "Nauka", Novosibirsk, Russia, pp: 180.
  26. Uskov, V.N., P.V. Bulat and O.N. Zasukhin, 2002. Gas dynamics and acoustics of supersonic jet in a channel with a sudden expansion. Modern problems of no equilibrium gas dynamics. BSTU Voenmeh, Saint-Petersburg, pp: 136-158.
  27. Uskov, V.N., P.V. Bulat and O.N. Zasukhin, 2010. Analysis of the nature of nonstationary processes on modes, when jet flows in the channel with an open bottom area. Streaming, separated and unsteady flows. Proceedings of 22th Anniversary Seminar with International Participation, pp: 114-116.
  28. Zasukhin, O.N., P.V. Bulat and N.V. Prodan, 2012. Bottom pressure fluctuations. Fund. Res., 3: 204-207.

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.

ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
Submit Manuscript
   Information
   Sales & Services
Home   |  Contact us   |  About us   |  Privacy Policy
Copyright © 2024. MAXWELL Scientific Publication Corp., All rights reserved