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Shock Waves

, Volume 28, Issue 2, pp 299–309 | Cite as

Bifurcation parameters of a reflected shock wave in cylindrical channels of different roughnesses

Original Article

Abstract

To investigate the effect of bifurcation on the induction time in cylindrical shock tubes used for chemical kinetic experiments, one should know the parameters of the bifurcation structure of a reflected shock wave. The dynamics and parameters of the shock wave bifurcation, which are caused by reflected shock wave–boundary layer interactions, are studied experimentally in argon, in air, and in a hydrogen–nitrogen mixture for Mach numbers \(M =\) 1.3–3.5 in a 76-mm-diameter shock tube without any ramp. Measurements were taken at a constant gas density behind the reflected shock wave. Over a wide range of experimental conditions, we studied the axial projection of the oblique shock wave and the pressure distribution in the vicinity of the triple Mach configuration at 50, 150, and 250 mm from the endwall, using side-wall schlieren and pressure measurements. Experiments on a polished shock tube and a shock tube with a surface roughness of 20 \({\upmu }\)m Ra were carried out. The surface roughness was used for initiating small-scale turbulence in the boundary layer behind the incident shock wave. The effect of small-scale turbulence on the homogenization of the transition zone from the laminar to turbulent boundary layer along the shock tube perimeter was assessed, assuming its influence on a subsequent stabilization of the bifurcation structure size versus incident shock wave Mach number, as well as local flow parameters behind the reflected shock wave. The influence of surface roughness on the bifurcation development and pressure fluctuations near the wall, as well as on the Mach number, at which the bifurcation first develops, was analyzed. It was found that even small additional surface roughness can lead to an overshoot in pressure growth by a factor of two, but it can stabilize the bifurcation structure along the shock tube perimeter.

Keywords

Bifurcation of reflected shock wave Surface roughness Flow stabilization Overshoot pressure Small-scale turbulence 

References

  1. 1.
    Hadjadj, A., Dussauge, J.P.: Shock wave boundary layer interaction. Shock Waves 19, 449–452 (2009). doi: 10.1007/s00193-009-0238-2 CrossRefMATHGoogle Scholar
  2. 2.
    Mark, H.: The interaction of a reflected shock wave with the boundary layer in a shock tube. NASA TM-1418 (1958)Google Scholar
  3. 3.
    Starikovskii, A.: Nonlinear waves and energy exchange in reacting systems. Phd. thesis, MFTI, Moscow (1999) (in Russian)Google Scholar
  4. 4.
    Ben-Dor, G., Takayama, K.: The phenomena of shock wave reflection–a review of unsolved problems and future research needs. Shock Wave 2(4), 211–223 (1992). doi: 10.1007/BF01414757 CrossRefMATHGoogle Scholar
  5. 5.
    Taylor, J.R., Hornung, H.G.: Real gas and wall roughness effects on the bifurcation of the shock reflected from the endwall of a tube. In: Treanor, C.E., Hall, J.G. (eds.) Shock Tubes and Waves, Proceedings of 13th International Symposium on Shock Tubes and Waves, pp. 262–270. State University of New York Press, Albany, New York (1981)Google Scholar
  6. 6.
    Bazhenova, T.V.: Shock Waves in Real Gases. NASA Technical Translation, F-585, Washington, D.C. 20546 (1969)Google Scholar
  7. 7.
    Kleine H., Lyakhov V.N., Gvozdeva L.G., Grönig, H.: Bifurcation of a reflected shock wave in a shock tube. In: Takayama K. (eds) Shock Waves, Proceedings of the 18th International Symposium on Shock Waves, pp. 261–266. Springer, Berlin (1992). doi: 10.1007/978-3-642-77648-9_36
  8. 8.
    Fokeev, V.P., Abid, S., Dupré, G., Vaslier, V., Paillard, C.: Domains of existence of the bifurcation of a reflected shock wave in cylindrical channels. In: Brun, R., Dumitrescu, L.Z. (eds.) Shock Waves @ Marseille I. Proceedings of the 19th International Symposium on Shock Waves, 26–30 July 1993, pp. 145–150. Marseille, France (1993). doi: 10.1007/978-3-642-79532-9_23
  9. 9.
    Couldrick, J.S.: A study of swept and unswept normal shock wave/turbulent boundary layer interaction and control by piezoelectric flap actuation. PhD Thesis, University of New South Wales, Australia (2006)Google Scholar
  10. 10.
    Bulovich, S.V., Vikolayner, V.E., Zverintsev, S.V., Petrov, R.L.: Numerical simulation of the interaction between reflected shock wave and near-wall boundary layer. Tech. Phys. Lett. 33(2), 173–175 (2007). doi: 10.1134/S1063785007020241
  11. 11.
    Schlichting, H.: Boundary-Layer Theory, 6th edn. McGraw-Hill, New-York (1968)MATHGoogle Scholar
  12. 12.
    Penyazkov, O.G., Ragotner, K.A., Shabunya, S.I., Martynenko, V.V.: High-temperature ignition of hydrogen-air mixture at high pressures behind reflected shock wave. Nonequilibrium Processes in Combustion and Plasma Based Technologies, International Workshop, August 21–26, Minsk, Belarus (2004)Google Scholar
  13. 13.
    Yamashita, H., Kasahara, J., Sugiyama, Y., Matsuo, A.: Visualization study of ignition modes behind bifurcated-reflected shock waves. Combust. Flame 159(9), 2954–2966 (2012). doi: 10.1016/j.combustflame.2012.05.009 CrossRefGoogle Scholar
  14. 14.
    Daru, V., Tenaud, C.: Numerical simulation of the viscous shock tube problem by using a high resolution monotonicity-preserving scheme. Comput. Fluids 38, 664–676 (2009). doi: 10.1016/j.compfluid.2008.06.008 MathSciNetCrossRefMATHGoogle Scholar
  15. 15.
    Daru, V., Tenaud, C.: Evaluation of TVD high resolution scheme for unsteady viscous shocked flows. Comput. Fluids 30, 89–113 (2001). doi: 10.1016/S0045-7930(00)00006-2 CrossRefMATHGoogle Scholar
  16. 16.
    Duff, R.E.: The interaction of plane shock waves and rough surfaces. J. Appl. Phys 23(12), 1373–1379 (1952). doi: 10.1063/1.1702077
  17. 17.
    Soloukhin, R.I.: Shock Waves and Detonations in Gases. Mono Book Corp, Baltimore (1966)Google Scholar
  18. 18.
    Petersen, E.L., Hanson, R.K.: Measurement of reflected-shock bifurcation over a wide gas composition and pressure range. Shock Waves 15, 333–340 (2006). doi: 10.1007/s00193-006-0032-3 CrossRefGoogle Scholar
  19. 19.
    Korobeinikov, V.P.: Unsteady Interaction of Shock and Detonation Waves in Gases. Hemisphere Publishing Corp, New York (1989)Google Scholar

Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.A.V. Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of BelarusMinskBelarus

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