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Triple-Shock Configurations, Vortices, and Instabilities Resulting from the Interaction of Energy Release with a Shock Layer in Gaseous Media

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Shock Wave Interactions (RaiNew 2017)

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Abstract

Triple-shock configurations and vortex structures are researched in problems of control of a high-speed flow past an aerodynamic body “plate-cylinder” at freestream Mach number M = 4. The effect of an energy source dislocated in the incoming flow ahead of a bow shock is evaluated for the gaseous media of different physical–chemical properties in a range of the ratio of specific heats γ from 1.1 to 1.4. The energy source is modeled as a heated rarefied channel. Changing the angles in triple-shock configuration and the effect of the stagnation pressure decreasing together with the front drag force reduction is studied depending on γ and rarefaction factor in the energy source. Generation of the Richtmyer–Meshkov instability accompanied the forming of the triple configuration is modeled for M = 8. Complex conservative difference schemes are used in the simulations.

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References

  1. Bazhenova, T.V., Gvozdeva, L.G., Nettleton, M.A.: Unsteady interactions of shock waves. Prog. Aerosp. Sci. 21, 249–331 (1984)

    Article  Google Scholar 

  2. Arutyunyan, G.M., Belokon, V.A., Karchevsky, L.V.: On adiabatic index effect on reflection of shock waves. J. Appl. Mech. Tech. Phys. (1), 62–66 (1970) (in Russian)

    Google Scholar 

  3. Gvozdeva, L.G., Gavrenkov, S.A., Nesterov, A.A.: Study of slipstreams in triple-shock wave configuration. Shock Waves 25(3), 283–291 (2015)

    Article  Google Scholar 

  4. Gvozdeva, L.G., Gavrenkov, S.A.: New configuration of irregular reflection of shock waves. In: Knight, D., Lipatov, I., Reijasse, Ph. (eds.) Progress in Flight Physics, vol. 7, pp. 437–452. Torus Press (2015)

    Google Scholar 

  5. Georgievsky, P.Y., Levin, V.A.: Front separation flows for blunt and streamlined bodies supported by localized upstream energy deposition. In: 2nd European Conferences of Aerospace Sciences (EUCASS, July 1–6, Brussels), pp. 1–8 (2007)

    Google Scholar 

  6. Azarova, O.A.: Simulation of stochastic pulsating flows with instabilities using minimum-stencil difference schemes. J. Comp. Math. Math. Phys. 49(8), 1397–1414 (2009)

    MathSciNet  MATH  Google Scholar 

  7. Azarova, O.A., Knight, D.D., Kolesnichenko, Y.F.: Pulsating stochastic flows accompanying microwave filament/ supersonic shock layer interaction. Shock Waves 21(5), 439–450 (2011)

    Article  Google Scholar 

  8. Knight, D.: Survey of aerodynamic drag reduction at high speed by energy deposition. J. Propul. Power 24, 1153–1167 (2008)

    Article  MathSciNet  Google Scholar 

  9. Knight D.: A short review of microwave and laser discharges for supersonic flow control. J. AerospaceLab (10), 1–12 (2015)

    Google Scholar 

  10. Russell, A., Zare-Behtash, H., Kontis, K.: Joule heating flow control methods for high-speed flows. J. Electrost. (4), 1–90 (2016)

    Google Scholar 

  11. Azarova, O.A., Gvozdeva, L.G.: Unsteady triple configurations and vortex-contact structures initiated by interaction of an energy source with a shock layer in gases. Tech. Phys. Lett. 42(8), 799–803 (2016)

    Article  Google Scholar 

  12. Artem’ev, V.I., Bergel’son, V.I., Nemchinov, I.V., Orlova, T.I., Smirnov, V.A., Hazins, V.M.: Changing the regime of supersonic streamlining obstacle via arising the thin channel of low density. Fluid Dyn. (5), 146–151 (1989) (in Russian)

    Google Scholar 

  13. Azarova, O.A.: Complex conservative difference schemes for computing supersonic flows past simple aerodynamic forms. J. Comp. Math. Math. Phys. 55(12), 2025–2049 (2015)

    MathSciNet  MATH  Google Scholar 

  14. Grudnitsky, V.G., Prohorchuk, Y.A.: An approach of construction of difference schemes with arbitrary order of approximation of differential equations in partial derivatives. Reports of RAS 234(6), 1249–1252 (1977) (in Russian)

    Google Scholar 

  15. Belotserkovsky, O.M., Grudnitsky, V.G., Prohorchuk, Y.A.: Difference scheme of the second order accuracy on a minimal stencil for hyperbolic equations. J. Comp. Math. Math. Phys. 23(1), 119–126 (1983) (in Russian)

    Google Scholar 

  16. Semenov, A.N., Syschikova, M.P., Berezkina, M.K.: Experimental study of the specific features of the Mach reflection in a shock tube. J. Tech. Phys. 15(5), 795–803 (1970) (in Russian)

    Google Scholar 

  17. Bazhenova, T.V., Gvozdeva, L.G., Lagutov, Y.P., Lyakhov, V.N., Poresov, Y.M., Fokeev, V.P.: Unstedy Interaction of Shock and Detonation Waves in Gases, 208 p. Nauka, Moscow (1986) (in Russian)

    Google Scholar 

  18. Gvozdeva, L.G., Borsch V.L., Gavrenkov, S.A.: Analytical and numerical study of three shock configurations with negative reflection angle. In: Kontis, K. (ed) 28th International Symposium on Shock Waves, vol. 2, pp. 587–592. Springer (2012)

    Google Scholar 

  19. Azarova, O.A.: Complex conservative difference schemes in modeling of instabilities and contact structures. In: Kontis, K. (ed) 28th International Symposium on Shock Waves, vol. 2, pp. 683–689. Springer (2012)

    Google Scholar 

  20. Kemm, F.: On the proper setup of the double mach reflection as a test case for the resolution of gas dynamics codes. Comput. Fluids (4), 1–7 (2014)

    Google Scholar 

  21. Georgievsky, P.Y., Levin, V.A.: Unsteady interaction of a sphere with atmospheric temperature inhomogeneity at supersonic speed. Fluid Dyn. 28(4), 568–574 (1993)

    Article  Google Scholar 

  22. Azarova, O.A., Knight, D.D.: Interaction of microwave and laser discharge resulting “heat spots” with supersonic combined cylinder bodies. Aerosp. Sci. Technol. (43), 343–349 (2015)

    Google Scholar 

  23. Kolesnichenko, Y.F., Brovkin, V.G., Azarova, O.A., Grudnitsky, V.G., Lashkov, V.A., Mashek, I.C.: Microwave energy release regimes for drag reduction in supersonic flows. Paper AIAA-2002-0353, 1–12 (2002)

    Google Scholar 

  24. Azarova, O.A.: Generation of Richtmyer-Meshkov and secondary instabilities during the interaction of an energy release with a cylinder shock layer. Aerosp. Sci. Technol. (42), 376–383 (2015)

    Google Scholar 

  25. Edney, B.: Anomalous heat transfer and pressure distributions on blunt bodies at hypersonic speeds in the presence of an impinging shock. Aeronautical Research Institutes of Sweden, FAA Rept. 115, Stockholm (1968)

    Google Scholar 

  26. Adelgren, R.G., Yan, H., Elliott, G.S., Knight, D.D., Beutner, T.J., Zheltovodov, A.A.: Control of Edney IV interaction by pulsed laser energy deposition. AIAA J. 43(2), 256–269 (2005)

    Article  Google Scholar 

  27. Hawley, J.P., Zabusky, N.J.: Vortex paradigm for shock-accelerated density-stratified interfaces. Phys. Rev. Lett. No. 63, 1241–1244 (1989)

    Article  Google Scholar 

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Acknowledgements

The research is partially supported by RFBR under the Project No. 16-08-01228.

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Authors and Affiliations

  1. A. A. Dorodnicyn Computing Centre of Federal Research Center “Computer Sciences, and Control” RAS, Vavilova Str. 40, 119333, Moscow, Russia

    O. A. Azarova

  2. Joint Institute for High Temperatures RAS, Izhorskaya Str. 13/2, 125412, Moscow, Russia

    L. G. Gvozdeva

Authors
  1. O. A. Azarova
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  2. L. G. Gvozdeva
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Correspondence to L. G. Gvozdeva .

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Editors and Affiliations

  1. School of Engineering, University of Glasgow, Glasgow, United Kingdom

    Konstantinos Kontis

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Azarova, O.A., Gvozdeva, L.G. (2018). Triple-Shock Configurations, Vortices, and Instabilities Resulting from the Interaction of Energy Release with a Shock Layer in Gaseous Media. In: Kontis, K. (eds) Shock Wave Interactions. RaiNew 2017. Springer, Cham. https://doi.org/10.1007/978-3-319-73180-3_21

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  • DOI: https://doi.org/10.1007/978-3-319-73180-3_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73179-7

  • Online ISBN: 978-3-319-73180-3

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